Find the value of x in each case please

Find The Value Of X In Each Case Please

Answers

Answer 1

The value of x as given in the diagram is 18

Supplementary angles

The sum of supplementary angles is 180 degrees. From the given figure;

The measure of the angle 2x and 8x are supplementary such that;

2x + 8x = 180

10x = 180

Divide both sides by 10 to have:

10x/10 = 180/10

x = 18

Hence the value of x as given in the diagram is 18

Learn more on lines and angles here: https://brainly.com/question/25770607

#SPJ1


Related Questions

Use the graph of
f(x) = x3
to write an equation for the function represented by each graph.

Answers

Answer:

y = - x³ - 3x² - 3x - 4

Step-by-step explanation:

!!!!!!

The function represented in the graph is -

[tex]y\ =\ -\left(x+0.9\right)^{3}-3.3[/tex]

What is a exponent? What is logarithmic function?

In mathematics, if -

xⁿ = k

then -

[n] is called exponent

[x] is called base.

Logarithm is the inverse function to exponentiation. That means the logarithm of a number [x] to the base [b] is the exponent to which [b] must be raised, to produce [x]. We can write -

[tex]y = log_{e}x[/tex]

We have the function as -

f(x) = x³

Refer to the graph of the function in the modified form. The function after being translated is same as the one given in the question. The function after translation is -

[tex]y\ =\ -\left(x+0.9\right)^{3}-3.3[/tex]

Therefore, the function represented in the graph is -

[tex]y\ =\ -\left(x+0.9\right)^{3}-3.3[/tex]

To solve more questions on exponents and logarithms, visit the link below -

brainly.com/question/15449901

#SPJ2

consider a traingle of base 1 cm and height 1 cm.on the same base and on the same side, second traingle is drawn with half the previous height.if this process continues as many times as possible what will be the total area of all the traingles thus formed????

Answers

As n approaches infinity, the area of the triangle decreases until it equals 1, resulting in a triangle of area 1.

What is a geometric summation equation?

Every term in a geometric sequence has a fixed relationship to the term before it. A popular representation of a geometric sequence containing the initial term a, the common ratio r, and a finite number of terms is  a, a*r, a*r₂, ..., a*r(ₙ₋₁).

According to given value;

The area of first triangle =(1)*(1)*(1/2)

                                         =1/2

The area of second triangle =

(1/2)*(1/2)

                                                        =(1/2)²

The area of third triangle =(1/2)²*(1/2)

                                                   =(1/2)³

The area of [tex]n^{th}[/tex] triangle = (1/2)ⁿso the total area of all triangle is formed;

               =(1/2)+(1/2)²+(1/3)³+.......+(1/2)ⁿ

               =(1)-(1/2ⁿ)

The formula of geometric summation equation;

        = a₁-(1-qⁿ)/(1-q)

As n goes to infinity, the area goes to 1.

to know more about geometric summatrion equation visit;

https://brainly.com/question/24493581

#SPJ9

What are the vertex and range of y = |x + 3| + 2?

(−3, 2); 2 ≤ y < ∞
(−3, 2); −∞ < y < ∞
(0, 5); 2 ≤ y < ∞
(0, 5); −∞ < y < ∞

Answers

Answer: B

I took the quiz

Answer:

(−3, 2); 2 ≤ y < ∞

Step-by-step explanation:

I literally took the test hours ago

the ratio to the number of adults to the number of chirldren at a restaraunt is 3 to 7 whats a equavielent fraction

Answers

The equivalent fraction is: 3/7 or 6/14 or 15/35

What is an equivalent fraction?

Equivalent fractions are those that, despite their visual differences, reflect the same value. You will have consumed half of a cake, for instance, if you have one, divide it into two equal pieces, and then eat one of the pieces.

Given:

Ratio of number of adults to that of children = 3:7

3 : 7 = 3/7

There can be 'n' number of equivalent fractions for this fraction, such as: 3/7, 6/14, 15/35

Hence, The equivalent fraction is: 3/7, 6/14, 15/35

To learn more about equivalent fractions, refer to the link: https://brainly.com/question/17220365

#SPJ9

Write 512 as a product of primes.

Use index notation when giving your answer.

help me please

Answers

Answer:

2⁹

Step-by-step explanation:

Repeatedly dividing 512 by 2 which is a prime number gives:

512 = 2 x 2 x 2 x 2 x 2 x 2 x 2x 2 x 2 = 2⁹ in index notation

Answer:

1,2,4,8,16,32,64,128,256,and 512

Kara's Custom Tees experienced fixed costs of $800 and a variable cost of $3 per shirt. Write an equation that can be used to determine the total costs encountered by Kara's Custom Tees when x shirts are produced. Then, determine the total cost of producing 75 shirts.

Answers

The total cost of producing 75 shirts will be $1050.

It is given that Kara's Custom Tees experienced fixed costs of $800 and variable cost of $3 per shirt.

We have to find an equation and also the total cost of producing 75 shirts.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , multiplication , etc.

As per the question ;

Fixed cost = $ 800

and

Variable cost per shirt = $3.

If x shirts are produced then ; then equation will be ;

= 800 + 3x

And total cost of 75 shirts will be ;

= 800 + 3 × 75

= 800 + 225

= $ 1050

Thus , the total cost of producing 75 shirts will be $1050.

To learn more about algebra click here ;

brainly.com/question/26479183

#SPJ1

TRUE OF FALSE. A dilation with a scale factor that is not equal to 1 is always used to create
similar figures while it is never used to create congruent figures.

Answers

Answer:

False! as long as the the Scale Factor is 1, there is still a possibility that the figure will be congruent or greater! GOOD LUCK!

Answer: True

Step-by-step explanation: This is the difference between using transformations to create similar figures vs using transformations to create congruent figures. Similar figures are figures with the same shape. Congruent figures are figures with the same shape and size. If the scale factor is not equal to 1, then the figures are similar. If the scale factor is equal to 1, then the figures are congruent.

-30.
How can a graphing calculator help you find the solution to a system of equations? Consider this system:
5x - y = 35
3x + y = -3
a. First graph the system in a standard window. Can you see the solution on your screen?
b. To find the solution you will need to change the window on your calculator. Discuss with your team what maximum value, minimum value, and scale
you should use for the 2- and y-axes in order to see the intersection. After you have decided, check your conclusion on the graphing calculator.
c. Use a "trace" function on your calculator to find the solution from the graphs. Then solve the system algebraically.
d. Discuss the two methods with your team. Explain which one your team prefers and why.

Answers

The solution for the system of equation is 4534 and the graphical representation is attached below.

A system of equation or simultaneous equations are a pair of linear equation is 2 variables such that they represent a pair of straight line sin the cartesian plane.

The point of intersection of these two line on the cartesian plane is given by the solution of the two equation that are given.

A system of equations can be solved algebraically  by matrix method , elimination method or by substitution.

Now let us solve the given equation algebraically by elimination method.

5x - y = 35

3x + y = -3

Adding the equation we get:

or, 8 x = 32

or,  x  = 4

putting the value of x in the first equation we get:

5 × 4 - y = 35

or, -y = 35 - 20

or, y = -15

Hence the point of intersection is ( 4 , -15 )

To learn more about system of equations visit:

https://brainly.com/question/21620502

#SPJ1

HELPP PLEASE 70 POINTS

Answers

1st option i believe

Ivanna can type 54 words in 9 minutes. what is her rate in words per minutes

Answers

Answer: 6 words per minute

Step-by-step explanation:

54 words / 9 minutes =

54/9=6 words per minute

Answer:

6 words/min

Step-by-step explanation:

9 min --- 54 words

÷9 ( )÷9

1 min --- 6 words


√-100=____ + _____i

Answers

Answer:

[tex]10 + 1i[/tex]

Step-by-step explanation:

[tex]i = \sqrt{-1}[/tex]

[tex]\sqrt{-100} = \sqrt{100} * \sqrt{-1}[/tex]

[tex]\sqrt{-100} = 10 + 1i[/tex]

Which of the following describes a situation in which the total distance a baseball player travels is zero meters from his starting point? (5 points)

Answers

Situation (B) best describes how a baseball player travels a total distance of zero meters from his starting point, that is, the player runs 3 meters forward and then 3 meters in the opposite direction.

What is the distance?Distance is a numerical or quantifiable measurement of the distance between two objects or points. The distance can refer to a physical length or an estimate based on other criteria in physics or everyday usage (e.g. "two counties over"). Because spatial thinking is a rich source of conceptual metaphors in human thought, the term is also frequently used figuratively to mean a measurement of the amount of difference between two common pieces (such as statistical distance between probability distributions or edit distance between text strings) or a degree of detachment (as exemplified by the distance between people in a social network). The concept of a metric space is used in mathematics to formalize most such notions of distance, both physical and metaphorical.

According to the options:

Options (A), (C), and (D) is wrong as there the basketball travels some sought distance from the starting point. It is only in option (B) in which the total distance of the baseball player comes to 0 as he runs 3 meters forward and then runs 3 meters in the opposite direction.

Therefore, situation (B) best describes that the total distance a baseball player travels is zero meters from his starting point that is, the player runs 3 meters forward and then runs 3 meters in the opposite direction.

Know more about distance here:

https://brainly.com/question/2854969

#SPJ9

The complete question is given below:
Which of the following describes a situation in which the total distance a baseball player travels is 0 meters from his starting point? (5 points)

a) The player runs 4 meters forward and then runs 3 meters in the opposite direction.

b) The player runs 3 meters forward and then runs 3 meters in the opposite direction.

c) The player runs 3 meters forward and then runs 4 meters in the opposite direction.

d) The player runs 3 meters forward and then runs 0 meters in the opposite direction.

Can please anyone help me with this

Answers

Answer:

Step-by-step explanation:

im not sure but yea

c. Would the sum of the interior angles of a triangle in this type of geometry be different from those of triangle in Euclidean geometry? Explain.

Answers

The fact that the sum of the interior angles of a triangle add up to 180 is equivalent to the parallel postulate. Therefore, the sum of the interior angles of a triangle in this type of geometry be different from those of triangle in Euclidean geometry.

How to illustrate the information?

There is only one parallel to the given line in Riemannian geometry. A straight line of finite length that can be continued endlessly is the second postulate of Euclid.

One of the non-Euclidean geometries that entirely rejects the validity of Euclid's fifth postulate and alters his second postulate is Riemannian geometry, commonly known as elliptic geometry. The fifth postulate of Euclid states that there is only one line that passes through a point that is not on a particular line and is parallel to that line.

In this case, the angles won't change as it's always equal

Learn more about geometry on:

https://brainly.com/question/19241268

#SPJ1

an aaba form can be repeated to create a larger form; when b and a are repeated after the first aaba, it is called a

Answers

An AABA form can be repeated to create a larger form; when b and a are repeated after the first AABA, it is called a "partial reprise". The BA or ABA sections of the AABA structure are repeated in the majority of partial reprises.

What is reprise?

The term "reprise" is derived from the French word "repris," which means "act of taking back." The word is also derived from the Latin word "reprendre," which means "taken up again." The term is typically used in music, but it can refer to any continuation of an action.

Various uses of reprise in musics are given below-

Music that is classical: Reprises are most prevalent in the sonata form's recapitulation section.Music for films: Characters and settings are given specific motifs by film composers. These motifs reappear throughout the film.Theatrical musicals: Repetition is used in musical theater as scenarios develop and characters reappear.Jazz: Repetition is used by jazz musicians in a head-solo-head music format. The players begin with a pre-composed segment labeled the head, then break off towards solos influenced by that head, & finish with a reprise of a initial theme.Rock and pop: Pop and rock are created on repetition, and whenever a tune, vocal hook, or entire chorus is repeated, we can call it a reprise.

To know more about pop music, here

https://brainly.com/question/2195023

#SPJ4

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Write an inequality for the graph.

Answers

The inequality for the graph is given by   y > | x - 5 | + 1 .

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.

A graphical representation of an inequality in 2 dimension refers to as the region above or below the graph.

Given the graph of an inequality we write the required inequality using translation properties of a graph.

The parent function of the graph can be written as y > | x |.

the graph of y > | x | is attached below.

The following steps are used to write the inequality:

Now for the vertical shift of 1 unit of the graph we replace the y value with y-1.  Therefore the new inequality becomes y-1> |x| or , y = | x | +1Now for the horizontal shift of 5 units of the graph we replace the x with x-5 , Therefore the graph becomes y > | x - 5 | + 1

Hence the required inequality for the graph is given by y > | x - 5 | + 1

To learn more about inequality visit:

https://brainly.com/question/21857626

#SPJ9

y is less than -2 in inequality notation

Answers

Given statement 'y is less than -2 ' in inequality notation would be, y < -2

In this question we have been given a statement 'y is less than -2'

We need to write given statement in inequality notation.

We know that, an inequality is a mathematical expression where two non-equal mathematical expressions or numbers are compared.

We know that we use '<' notation for less than.

Consider given statement:

y is less than -2.

⇒ y < -2

Therefore, given statement 'y is less than -2 ' in inequality notation would be, y < -2

Learn more about an inequality here;

https://brainly.com/question/19003099

#SPJ1

a medical researcher obtains a sample of adults suffering from diabetes. she randomly assigns people to a treatment group and to a placebo group. the treatment group receives a medication over a period of three months and the placebo group receives a placebo over the same time frame. at the end of three months the​ patients' symptoms are evaluated.

Answers

This is an example of an experimental study since the researcher chose who would get medicine and who would receive a placebo.

What is Experimental Study?

a quantitative research technique that controls other pertinent variables while observing the effects of changes in the study's key variables The Impact of Product Modularity on Supplier Integration: A Multi-Objective Approach2 provides further information. In experimental research, participants are randomly divided into distinct groups (such as experimental and control groups) in order to ascertain the causal relationship between a given condition (an independent variable) and a certain outcome (dependent variable).An illustration of an experimental research on the subject would be to assign people at random to either spend 10 minutes on their  page as the experimental treatment, or spend the same amount of time on other websites (control group).

To know more about Experimental Study, visit;

https://brainly.com/question/14571388?referrer=searchResults

#SPJ4

Convert the decimal below to a fraction in simplest form.
0.166

Answers

(166÷2)

______

(1000÷2) = 83/500

Diana usually drives at an average rate of 30 mph. If Diana drives at an average rate of x mph, how long will it take her to get to Tony's house?

Answers

Diana drives for two hours at a speed of 30 mph, covering a total distance of 60 miles to get to Tony's house.

What exactly is average speed?Average speed is described as the ratio of a body's total distance traveled to the total time required to reach its destination.The total distance covered by the element in a given time interval is the average speed. A scalar quantity is average speed. It is depicted by magnitude and lacks direction.

Diana drives for two hours at a speed of 30 miles per hour.

To calculate the distance she will travel

Average speed = total distance / total time

Total time = two hours and the average speed = 30 mph

30 mph = total distance / two hours

Total distance = 30 × 2

Total distance = 60 miles

Therefore, Diana drives for 2 hours at a speed of 30 mph, so the total distance traveled is 60 miles to get to Tony's house.

To know more about the average speed, here

brainly.com/question/12322912

#SPJ9

A rectangle PQRS is dilated about the origin to form a new rectangle P ’Q ’R ’S ’, as shown. What is the scale factor of the dilation?

Answers

Answer:

3

Step-by-step explanation:

Point p was on -1, 2

Point p' was on -3, 6

IF you divde p' by p you get 3, so the dialation is 3.

Jill's plant is 15 inches tall and grows 0.25 inches each week, Mox's plant is 18 inches fall and grows 0.25 inches each week. At this rate, will Jill's plan! ever be faller than Max's Explain​

Answers

No, Jill’s plant will never be taller than Mox’s because both of their plants grow at the same rate (0.25 inches per week).

what are the zeros of the expression (x-5)(2x+7)

Answers

The zeroes of the expression are 5 and -3.5.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The zeroes of the expression can be found by equating the factors of the given expression with 0. Therefore, the zeroes of the expression are,

x - 5 = 0

x = 5

2x + 7 = 0

2x = -7

x = -7/2

x = -3.5

Hence, the zeroes of the expression are 5 and -3.5.

Learn more about Expression here:

https://brainly.com/question/13947055

#SPJ1

A college student is considering a subscription to a social- net working
Internet site that advertises its costs as "only 87 cents per day." What is the
cost of membership in dollars per year?

Answers

Answer:

$317.55

Step-by-step explanation:

There are 365 days in a year and the subscription is 0.87 cents per day.

365 * 0.87 = 317.55

Xochitl earned $94.80 at her job when she worked for 4 hours. What was her hourly
wage, in dollars per hour?

Answers

Answer: $23.70/hr

Step-by-step explanation:

x= hourly wage

4= the number of hours worked

$94.80=total earned

4x=$94.80

x=$94.80/4

x= $23.70/hr

She earned $23.70 per hour

annie measured a city park and made a scale drawing. the scale of the drawing was 1 millimeter : 4 meters. the soccer field is 28 millimeters long in the drawing. how long is the actual field?

Answers

Answer:

Step-by-step explanation:

34 millimeter

28 millimeters x 4 = 112 meters

the set of differentiable real-valued functions f on the interval .0; 3/ such that f 0 .2/ d b is a subspace of r.0;3/ if and only if b d 0.

Answers

The condition  [tex]f^{\prime}(2)[/tex] = 0 to form a subspace of  [tex]\mathbb{R}^{(0,3)}[/tex] is that f ∈ S is that otherwise, S wouldn't be closed under addition and thus would not be a subspace of  [tex]\mathbb{R}^{(0,3)}[/tex].

What is additive identity?

An identity element (like 0 in the collective of whole numbers under operation of addition) that leaves unaffected any element that it is added in a provided mathematical system.

Now, for the given question.

I'd just like to comment on the paragraph about intuition as well as the additive identity: That instinct is incorrect.

First, we could perhaps define a object that we need to confirm is a subspace of [tex]\mathbb{R}^{(0,3)}[/tex] in a more precise manner than the translation in which it is initially presented. We want to look at a set, S.

Where,

[tex]S=\left\{x, f \mid 0 < x < 3, f \in \mathbb{R}^{(0,3)} \wedge f^{\prime}(x)=0\right\}[/tex]

We are specifically tasked with having to prove the restriction just on derivative of f, which is best accomplished in the manner made reference.

The fact that S, as described above, describes a functional space explains why my initial intuition about problem is ultimately incorrect. I was hindering myself by viewing it solely as a geometric space.

As a result, I missed the fact that zero function (the additive identity in such a functional space) is indeed a natural member of S.

To know more about the additive identity, here

https://brainly.com/question/10737691

#SPJ4

The complete question is-

I'm working my way through Axler's "Linear Algebra Done Right", and I've run into a proposition that I don't understand. Namely:

The set of differentiable real-valued functions f on the interval (0, 3) such that [tex]f^{\prime}(2)[/tex] = b is a subspace of [tex]\mathbb{R}^{(0,3)}[/tex]  if and only if b = 0.

My intution is that this has something to do with the fact that a subspace requires an additive identity, but that because the domain of the differentiable functions is open and exludes 0, we have to make some concessions (i.e.  [tex]f^{\prime}(2)[/tex] = 0), though I'm unsure of how to work up a proof that backs this.

Why must   [tex]f^{\prime}(2)[/tex] = 0 to form a subspace of  [tex]\mathbb{R}^{(0,3)}[/tex]?

statistically speaking, the value that describes how far off an average could be is called the error.

Answers

The accuracy of a survey estimate refers to the closeness of the estimate to the true population value. Where there is a discrepancy between the value of the survey estimate and the true population value, the difference between the two is referred to as the error of the survey estimate.

The total error of the survey estimate results from the two types of error:

sampling error, which arises when only a part of the population is used to represent the whole population; and

the non-sampling error which can occur at any stage of a sample survey and can also occur with censuses. Sampling error can be measured mathematically whereas measuring non-sampling error can be difficult.

Sampling error is affected by a number of factors including sample size, sample design, the sampling fraction, and the variability within the population. In general, larger sample sizes decrease the sampling error, however, this decrease is not directly proportional.

The most commonly used measure of sampling error is called the standard error (SE). The standard error is a measure of the spread of estimates around the "true value". In practice, only one estimate is available, so the standard error can not be calculated directly.

For more information on statistical error click on the link below:

https://brainly.com/question/11338471

#SPJ4

whats the pattern of 1,1,11,6,6,16,11,11,21,16

Answers

The pattern is 1, 1, 11, 6, 6, 16, 11, 11, 21, 16, 16, 26.

Given,

The pattern: 1, 1, 11, 6, 6, 16, 11, 11, 21, 16.

Here,

First and second term:

1,1 = same number repeat for two times.

Third term:

11 = preceding term + 10

That is, 1 + 10 = 11: That is the third term.

As follows:

Fourth and fifth term:

6, 6 = same number repeat for two times.

Sixth term:

6 + 10 = 16

Seventh and eighth term:

11, 11 = same number repeat.

Ninth term:

11 + 10 = 21

Tenth term is given: 16

Now we have to find eleventh and twelth terms:

Tenth and eleventh should be same number repeat for two times:

16, 16

Twelth term:

16 + 10 = 26.

Now we can complete the pattern:

1, 1, 11, 6, 6, 16, 11, 11, 21, 16, 16, 26.

Learn more about patterns here:

https://brainly.com/question/21932292

#SPJ1

28.007 x 10² = _____

Answers

28.007 x 10² = _2800.7_

[tex] \red{ {10}^{2} } = 100 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = \red{100} \times 28.007 \: \: multiply \: the \: numbers \\ = \green {2800.7}\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:[/tex]

that's all :)

#CarryOnLearning

[tex] \: \Large \mathbb{SOLUTION:}[/tex]

[tex] \: \: \text{28.007 × 10² }[/tex]

[tex] \: \: \text{Calculate the power}[/tex]

[tex] \: \: \text{28.007 × 100 }[/tex]

[tex] \: \: \text{Calculate the product or quotient}[/tex]

[tex] \: \: \text{\underline{\underline{2800.7}}}[/tex]

Other Questions
science is based on facts not options. -an ______ is a statement that expresses feelings or beliefs.-facts on the other hand ,are statements that can be proved true. supported with _____fill in the blanks. a fighter jet traveled k miles in its first 96 minutes of flight time. if it completed the remaining 300 miles of the trip in t minutes, what was the average speed, in miles per hour for the entire trip? Which of the following would Benet most likely agree with, based on this essay?1. Modern people would never make the same mistakes the people of Salem did.2. People's superstitions are harmless because no one really believes in them.3. Sometimes people take advantage of other people's beliefs for their own gain.4. If Salem had not been a religious community, none of this would have happened.--this is about the crucible-- The difficulties faced by animals in due to climate change (100 words) bruce f. hall, neighborhood difference in retail food stores: income versus race and age of population, 59 econ Use the diagram to find the value of the following. what is the value of x. Angle A- Angle B -Angle C- HELP! Can someone explain to me how to find scaled factors as simply as they can? Why do you think three states in the northern plains have had no damage from earthquakes? 13. Two identical metallic spheres A and B, each carry- ing a charge q, repel each other with a force F. A third metallic sphere C of the same size, but un- charged, is successively made to touch the spheres A and B, and then removed away. What is the force of repulsion between A and B? (Ans. 3F/8) 4. globalization is) the increasing interconnectedness of people and places throughout the world through converging processes of economic, political and cultural change. Which number below is NOT equal to the others? 1/818/101.81 4/5 NEED HELP ASAP look at picture True / False: DNA does not have the information needed to copy itself. A freelance singer-songwriter is planning the restoration of a recently purchased civil war-era farmhouse. While he professes an enjoyment of, and talent in the construction trades, the theory of comparative advantage implies that. PLS ANSWER THIS QUESTION FASTWILL MARK BRAINLIEST 3 Say where you are fromLook at these students' ID cards from the International Club.Then complete the sentences that follow. A root cell may continue to absorb minerals even though the concentration of the minerals is greater inside the cell than in the soil. This absorption is accomplished mainly by . the headline reads: ""internet explorer gains cause mass murders"". covariation of cause and effect is present to support the claim. which answer best describes the meaning of the boldfaced word? sally had always lived in a large town, but, when she arrived in new york city, she was amazed at how enormous the city seemed. big big unimaginably gigantic unimaginably gigantic large large a little bit bigger than what she was used to Julia is the oldest of three siblings whose ages are consecutive integers. If the sum of their ages is 42, find Julias age