Answers
Similar triangles are triangles which have the same corresponding angle measures and proportional side lengths. The value of x is 17.5.
What are similar Triangles?Similar triangles are triangles which have the same corresponding angle measures and proportional side lengths.
Let PQ be the line between RS and RT.
Now PQR and RST are similar triangles.
RT/RP=RS/RQ
14/8=x/10
Use cross multiplication
14(10)=8x
140=8x
Divide both sides by 8.
17.5=x
Therefore x is 17.5.
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Related Questions
The cold water tap can fill a container two hours faster than the hot water tap. The two taps together can fill a container in 80 minutes. How long does it take each tap to fill the container on its own?
Answers
Answer:
4 hours and 2 hoursStep-by-step explanation:
Let the time for cold tap be c and hot tap be h.
Convert2hrs = 120 minSet equationsThe cold water tap can fill a container two hours faster than the hot water tap:
c - h = 120The two taps together can fill a container in 80 minutes:
1/c + 1/h = 1/80Solve the system by substitutionc = h + 1201/c + 1/h = 1/801/(h + 120) + 1/h = 1/80(h + h + 120)/(h(h+120)) = 1/8080(2h + 120) = h(h + 120)160h + 9600 = h² + 120hh² - 40h - 9600 = 0h² - 40h + 400 = 10000(h - 20)² = 100²h - 20 = 100 (taking positive root only, since time is positive value) h = 120 min = 2 hrsFind cc = 120 + 120 = 240 min = 4 hrsthe difference between compound interest and simple interest on the same sum of rupees 8000 for 2 year is rupees 20 find the rate of interest ?
Answers
Answer:
5%
Step-by-step explanation:
You want the interest rate that makes the difference between compound and simple interest on ₹8000 for two years be ₹20.
Interest formulasThe formula for the value of an account earning simple interest is ...
A = P(1 +rt) . . . . P earning interest rate r for t years
The formula for the value of an account earning compound interest is ...
A = P(1 +r)^t . . . . P earning interest rate r for t years
ApplicationWe want the difference in these amounts over 2 years to be ₹20.
8000(1 +r)^2 -8000(1 +2r) = 20
1 +2r +r^2 -(1 +2r) = 20/8000 . . . . . divide by 8000, expand the square
r^2 = 1/400 . . . . . . simplify
r = 1/20 = 5% . . . . . take the square root
The rate of interest is 5% per year.
A recipe calls for 4.5 teaspoons of Suger for 3 dozen cookies explain the process to find how much is needed for each dozen
Answers
Answer:
1.5 teaspoons for each dozen
Step-by-step explanation:
A recipe calls for 4.5 teaspoons of sugar for 3 dozen cookies explain the process to find how much is needed for each dozen?
Divide 4.5 teaspoons by 3:
4.5/3 = 1.5 teaspoons for each dozen
since 4.5 teaspoons of sugar will make 3 dozen, we divide 4.5 by 3 to find for each dozen.
Answer this question please
Answers
Answer:
[tex] \sf (- \infty, 58] [/tex]
Step-by-step explanation:
Express as interval = [tex] \sf (- \infty, 58][/tex]
Robbie opens an account at a local bank by depositing $100. The account pays 2.4% interest, compounded weekly. He deposits $100 every week for 3 years.
b. Write the future value function if x represents the number of weeks.
c. Use a graphing calculator to graph the future value function.
d. Using the graph, what is the approximate balance after 2 years?
Answers
The equation of the future value function if x represents the number of weeks is [tex]= P((1+r/x)^{nt} - 1)/(r/x)[/tex].
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.
Given:
Robbie depositing= $100
Interest=2.4%
Time=3 years.
According to given question we have
P = periodic payment = $100 / week
r = interest rate = 2.4%, compounded weekly
t = 3 years
x = 52 weeks (# of times interest is compounded per year)
To write a equation we have
B = Future Value
[tex]= P((1+r/x)^{nt} - 1)/(r/x)[/tex]
Therefore, the equation of the future value function if x represents the number of weeks is [tex]= P((1+r/x)^{nt} - 1)/(r/x)[/tex].
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I need an answer please
Answers
Answer:
Angle B equals 139
Step-by-step explanation:
6x -6 = 90 is the simplified equation. Solving the equation would make x = 31. Then, plugging in x would make Angle A 41 and Angle B 139
5/8 of the pens in a box are blue pens. 4/5 of the remaining are red pens.what fraction of the pens are red ?
Answers
Step by step
If 5/8 are blue, 3/8 are remaining.
It says 4/5 of the remaining (3/8) are red.
4/5 x 3/8 = red pens
Cross multiply
12/40
Simplify to 3/10
55 mph
BIKE
12 mph
How many more hours can the bus travel than the bike in a 3.5 hour period?
Answers
Step-by-step explanation:
3.5(12)=42
3.5(55)=192.5
192.5
-42
150.5 more miles
The table lists the eight human blood types.
It also shows how blood types determine who a person can donate blood to and receive blood from.
Blood type
A+
B+
AB+
AB-
A-
B-
0+
0-
Can donate to
A+, AB+
B+, AB+
AB+
AB+, AB-
A+, A-, AB+, AB-
B+, B-, AB+, AB-
(a) X = 1
(b) x = 0
A+, B+, AB+, 0+
All blood types
Can receive from
A+, A-, 0+, 0-
B+, B-, 0+, 0-
All blood types
A-, B-, AB-, 0-
A-, O-
B-, 0-
0+, 0-
0-
Let U be the set of all eight human blood types.
U=(A-, B-, AB+, AB-, A-, B-, 0-,0-)
Let X be the set of blood types that type AB- cannot receive blood from.
Let I be the set of blood types that type B+ can donate blood to.
Find the sets below. Write each answer in roster form or as 2.
CE
D
AB-
0.0 Ø
8+
AB+
Answers
no the projvet iS 348
3=20
14. Model Real Life A self-balancing scooter travels 12 miles
per hour. An all-terrain vehicle can travel 6 times as
fast as the scooter. A go-kart can travel 67 miles
per hour. Which vehicle can travel the fastest?
Answers
An all-terrain vehicle can travel the fastest.
What is Speed ?Speed can be define as the time rate by which an object is moving or running along a path. A speed is the quantity which describes the moving rate of any object. We can define the speed with respect to distance and time . Or we can say speed is distance per unit of time . It is calculate in term of kilometers per hour.
Mathematically, we can write:
[tex]Speed = \frac{Distance}{Time}[/tex]
where, distance is measured in km
and Time is measured in hours
In the question, the distance for three different types of vehicles are given and we have to find fastest vehicle for which we need to find the speed.
For self-balancing scooter
Time = 1 hour
Distance = 12 miles
Therefore, Speed = 12 miles/h
For all-terrain vehicle
Time = 1 hour
Distance = 12 . 6 = 72 miles
Therefore, speed = 72 miles/h
For a go-kart
Time = 1 hour
Distance = 67 miles
Therefore, speed = 67 miles/h
Hence it is cleared that An all-terrain vehicle can travel the fastest.
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Order the list of numbers written in Scientific Notation from small to large.
4.5 x 10^4
1.9 x 10^7
7.6 x 10^-9
9.3 x 10^-15
5.7 x 10^13
Answers
2. 7.6 x 10^-9
3. 4.5 x 10^4
4. 1.9 x 10^7
5. 5.7 x 10^13
The greater the exponent the larger the number, no matter the coefficients.
Numbers that can be written as a power in more than one way
Answers
Numbers that can be written as a power in more than one way is known as exponents .
WHAT ARE EXPONENTS?A sign that denotes raising to a power that is placed above and to the right of a mathematical expression. for example , [tex]2^{a}[/tex].
The mathematical procedure known as exponentiation, abbreviated as bn, involves the base number (b) and the exponent (or power) number (n). In English, it is pronounced "b (raised) to the (power of) n." [1] Exponentiation is the process of repeatedly multiplying bases, where n is a positive integer, and the product is known as bn.
The exponent is typically denoted by a superscript to the right of the base. The term "b raised to the nth power," "b (raised) to the power of n," "the nth power of b," "b to the nth power," or, most simply, "b to the nth," is used to describe bn.
CALCULATIONNumbers that can be written as a power in more than one way is known as exponents .
These numbers are basically written to save time to multiply the same number multiple times .
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A gasoline tank contains 9.6 hectolitres (hL) when it is 60% full. What is the capacity of the tank (in hL)?
Answers
The capacity of the full tank is 16 hectolitre. percentage problem.
A gasoline tank contains 9.6 hectolitres (hL) when it is 60% full. when the tank is 100% full that is the capacity of the tank.
so, the capacity of the full tank is 9.6x(100/60) = 16 hL.
this a percentage problem. In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%". A percentage is a dimensionless number; it has no unit of measurement.
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solve for y : 3x-2y+12>0
Answers
Answer:
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
[tex]y < \frac{3x}{2} +6[/tex]
Maths help 10 points awarded and brainiest for correct answer
Answers
The range of the data is 5.
Ensure that the score column entries are listed in ascending numerical order. The entries in our example are listed in numerical order.
According to the definition, range is determined for continuous frequency distribution as the difference between the upper limit of the maximum interval and lower limit of the minimum interval of the grouped data.
1. Find the score column entry with the lowest value (with a Frequency greater than 0).
here we have 1 as the lowest entry. The lowest test score is 1.
2. Find the highest entry in the Score column (with a Frequency greater than 0).
here, we have 6 as the highest entry The highest test score is 6.
Subtract the lowest number (1) from the highest number (6).
6 - 1 = 5
The range of the test scores is 5.
Hence we get the range of the given data as 5.
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the tiles (right angled triangles) are arranged around a parallelogram-shaped tile. Calculate the area of the parallelogram. b= 36 h= 13.2
Answers
The area of the parallelogram is 475.2 square units.
A parallelogram is a polygon with four sides whose each pair of opposite sides are equal and parallel.
The properties of parallelogram are:
Both pairs of opposite side are equal and parallel .Both diagonals are equal.Each diagonal divides the parallelogram into 2 congruent triangles.Squares , rectangles and rhombus are parallelograms.The area of a parallelogram is given by the product of base and height of the parallelogram.Given base b of the parallelogram a 36 units and height h of the parallelogram as 13.2 units.
Therefore we know from the properties of the parallelogram that area is given by the product of base and height.
∴area = b × h
or, area = 36 × 13.2
or, area = 475.2 square units
Hence the area of the parallelogram is 475.2 square units .
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Which describes the collection of all points in the same plane that are 81/2 inches from point T
Answers
The figure will be a sphere with center T and radius 8 1/2 inches, that is, option D.
A circle is a closed curve constituting of the set of all points in a plane that are equidistant from a given point. This point is the center of the circle and the distance is the radius of the circle.
A circle is a 2-dimensional figure, and the two dimensional does not contain the set of all points in the 3-dimensional plane.
A sphere is a round geometrical object and is the set of all points that are equidistant from a given point, in the three-dimensional space.
Here, we are given that there is a point T and we need to describe the collection of all points in the same plane that are 8.5 inches from point T.
Going by the definitions given above, we can infer that it is a sphere with center T and radius 8.5 inches. If we take it to be a circle then it will not include the points in the 3D plane, hence, sphere.
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Your question was incomplete, check for the full content below-
Which describes the collection of all points in the same plane that are 8 1/2 inches from point T?
A.) Circle T with radius 8 1/2 inches
B.) circle T with diameter 8 1/2 inches
C.) circle T with radius 17 inches
D.) a sphere with center T and radius 8 1/2 inches
Find the equation of the line with slope m=- 3 that contains the point (9, - 15) Use fractions in your response, not decimals
Answers
Answer:
y = - 3x + 12
Step-by-step explanation:
Slope intercept form of line
y = mx + b where m = slope, b = y-intercept
==> y = -3x + b is the equatin
To find b, plug in values for point x = 9, y =-15 and solve for b
-15 = -3(9) + b
-15 = -27 + b
Add 27 both sides
-15 + 27 = b
12 = b
b = 12
Equation is
y = - 3x + 12
Given g(x)=2x+3g(x)=2x+3, find g(0)
Answers
Answer:
G(0) = 3
Step-by-step explanation:
g(0) means what is the value of g(x) when x = 0
substitute x = 0 into g(x)
g(0) = 2(0) + 3 = 0 + 3 = 3
What is the next fraction in this sequence? Simplify your answer.
1/3, 1/9, 1/27, 1/81,
Submit
...
Answers
Answer:
1/243
Step-by-step explanation:
Each denominator is multiplied by 3 from the last one
3 x 3 = 9
9 x 3 = 27
27 x 3 = 81
81 x 3 = 243
First try was incorrect
Rew decided to purchase some dubbles (x) and totts (y). Altogether,
he planned to buy at most 7 items.
Write an inequality, in standard form, to model this relationship.
Answers
Answer:
x + y ≤ 7
(if that doesn't work, 0 ≤ x + y ≤ 7)
Rew wants to buy 7 items or less, so the number of dubbles and totts combined can't be bigger than 7, and is therefore less than or equal to 7.
The product of two consecutive even number is 12 more than the square of the smaller number. Find the smaller number
Answers
Answer:
Hello,
Step-by-step explanation:
Let's say 2x the smaller number,2x+2 the greater.
2x*(2x+2)=12+(2x)²
2x²+4x=12+4x²
4x=12
x=3
The smaller numbre is 2x=6 and the greater is 8
6*8=48 =12+6²
A rain gauge collected 0.2 inches of
rain in 30 minutes. If it keeps
raining at the same rate, what is the
total time it will take to collect 1
inch of rain?
Answers
Answer:
you're answer will be 2 hours and 30 minutes
Step-by-step explanation:
i hope that helps you! :))
Step by step
.2 inches in 30 minutes = 1 inch in x minutes
.2/30 = 1/x cross multiply
.2x = 30
Divide both sides by .2 to solve for x
.2/.2 x = 30/.2
X = 150 minutes to fill the gauge to 1”
convert each of the following base-ten numberals in the indicated bases
456 in base 5
Answers
Answer:
3311
Step-by-step explanation:
The steps are as follows
1. Divide 456 by 5. This gives a quotient of 91 with a remainder of 1. This remainder becomes the least significant digit of the new base number. This would be the right most digit. So the number is _ _ _ 1
2. Take the quotient, 91, divide by 5 again. This gives a quotient of 18 with a remainder of 1. Put this remainder to the immediate left of the previous value. So we have the number as _ _ 1 1
3. Take the previous quotient, 18, divide by 5 again. 18/5 gives quotient of 3 with a remainder of 3. Put this to the immediate left of the previous number giving the number as _ 3 1 1
4. Repeat the division of the new quotient by 5. 3/5 gives a quotient of 0 with remainder of 3 so we stop
Number = 3 3 1 1
Best done by writing a program or using a calculator
(7m³ +8m²-m+2.8)-(-3m³ +9m+3.6)
Answers
Answer:
The correct answer would be,
= 10m^3 + 8m^2 - 10m - 0.8
Step-by-step explanation:
First you subtract the m^3 terms :
> 7m^3 + 3m^3
> 10m^3
Then you subtract m^2 , in this case we only have 1 m^2 :
> 8m^2
Then you subtract the m terms :
> -m - 9m
> -10m
The lastly you subtract the last terms :
> 2.8 - 3.6
> -0.8
= 10m^3 + 8m^2 -10m -0.8
(Make sure to distribute the negative before you solve it.) Just a point!!
Answer:
10m³+8m²-10m-0.8
Step-by-step explanation:
(7m³ +8m²-m+2.8)-(-3m³ +9m+3.6)
Use the sign to open the bracket we have;
7m³ +8m²-m+2.8+3m³-9m-3.6
bring like terms together
7m³+3m³+8m²-9m-m-3.6+2.8
Simplifying we have;
10m³+8m²-10m-0.8
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A recipe calls for ½ cup of
flour. Kenneth has 3 and 1/4
cups of flour. How many
batches of the recipe can
he make?
Answers
Answer:
6
Step-by-step explanation:
In 3 cups you have 6 half cups with the remainder being 1/4 of a cup.
Answer:
If we're talking whole batches then I'm pretty sure you can make six batches
Pe un stadion se găsește un grup de sportiv cuprins între 50 și 100 care se pot grupa în coloane de câte 12 18:24 tarif fiecare dată rămân șase sportiv care nu pot forma o coloană completă care este numărul minim de sportiv? Va rog sa ma ajutati repede!!!!
Answers
Find the value of PT if
PT=4x+1 and 7x-8
Answers
Answer:
4x+8+7x-8
Step-by-step explanation:
4x+7x+8-8
11x+0
11x.
At a berry farm, Clayton picks 1 1/4
cups of blackberries and twice as many raspberries. He takes the berries home and uses them to make mixed-berry muffins. If Clayton needs 3/4
of a cup of mixed berries for each batch of muffins, how many batches can he make?
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
Answers
Answer: 1 1/4 batches of muffins
Step-by-step explanation:
multiply 1 1/4 (5/4) by 2 and get 5/2 (2 1/2)next add 5/2 (10/4) and 5/4 and get 15/4divide 15/4 by 3 and get 5/4simplify that out into 1 1/4Choose the number phrase that correctly matches the word phrase “18 less 6.”
18 x 6
18 + 6
6 – 18
18 – 6