If JK = 3x, KL = 8, and JL = 5x, what is JK?

Segment PS in the scaled copy corresponds to segment AD in polygon ABCD in polygon PQRS. They are similar in appearance and appear in the same location.

A polygon is a two-dimensional flat shape with straight, fully closed sides. Straight, not curved, sides are required. Polygons, on the other hand, can have any number of sides.

Polygon is derived from the Greek word "polugonos." It has evolved into the term "polygon" over time. The term "polygon" means "many" and "gon" means "angled." This is due to the fact that a polygon has numerous angles and corners within its shape.

The Greeks may have been the first to recognize polygons, as there are numerous examples of them recognizing polygons such as the pentagram in their ancient art and writings.

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Answer:

Step-by-step explanation:

A and C

The result for the stack of cups are shown below;

The term unitary refers to a single or unique unit. As a result, the goal of this method is to determine values are related to a single unit.

Now, as per the given question.

Part 1: The height of one cup;

The stack of 9 cups form the height 194 mm.

Similarly, the height of the 22 of the same cups measures 272 mm.

For the calculation of height of one cup;

Difference in the total height  = 272 - 194 = 78.

Difference in the number of cups = 22 - 9 = 13.

Thus, the height of one cup = 78/13 = 6

The height of the one cup is found to be 6 mm.

Part 2: The height of n stack of cups;

The height of one cup is estimated as 6 mm.

There are total n number of cups.

Thus, the height of the n cups will be 6×n mm.

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Answer : Undefined terms are those terms that don’t require a formal definition. The four terms are point line plane and set

Step-by-step explanation:

Answer:

2x+1>3

2x>4

x=2

3x-4≤17

3x≤21

x=7

Answer: 12w-9

Step-by-step explanation:

The system of inequalities represents the possible length, l, and the possible width, w, that her frame could have is l ≤ 12 and 2l + 2w < 30

The given parameters are

Length = Not more than 12 inches

Perimeter = Less than 30 inches

"Not more than" means less than or equal to

So, we have

l ≤ 12

The perimeter of a rectangle is

P = 2l + 2w

So, we have

2l + 2w = Less than 30 inches

"Less than" is represented with <

So, we have

2l + 2w < 30

Hence, the system of inequalities represents the possible length, l, and the possible width, w, that her frame could have is l ≤ 12 and 2l + 2w < 30

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Answer:

a. I ≤ 12
    2l + 2w < 30

Step-by-step explanation:

i got it right on edge.

Answer: The answer is -5

Step-by-step explanation: According to the question it stated that the temperature was 7 degrees at 3pm and by 9pm it dropped 12 degrees so  from my answer it would -5 degrees

Answer:

C

Step-by-step explanation:

just do 1/2+2/3

Common denominators

3/6+4/6=7/6=1+1/6

C

The rate of change/slope of the ramp’s incline is found to be 3.

A line's slope is defined as the change in y coordinate in relation to a change in x coordinate.

m = Δy/Δx

where, m is the slope

And, tan θ = Δy/Δx

Such an tan θ is also known as the line's slope.

The slope of a line could be determined by calculating using only two straight line points. The slope of line formula could then be used with two point coordinates.

Now, in response to the question;

To link a driveway to a front door, a ramp with a constant incline is built.

The ramp's height  y₁ is 12 inches at a point 4 feet from of the driveway x₁.

The height y₂ of the ramp is 18 inches at a point 6 feet from of the driveway x₂.

The incline of the ramp's rate of change is given by:

Slope = m = tan θ = (y₂ - y₁)/(x₂ - x₁)

The values given in the question;

(x₁, y₁) = (4, 12) and,

(x₂, y₂) = (6, 18)

Put the values in the formula of the slope;

Slope = m = (18 - 12)/(6 - 4)

m = 6/2

m = 3

Therefore the rate of change also called as ramp’s incline is calculated as 3.

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The value of z-score for James is 0.2

Step-by-step explanation:

From the formula of z-score we know that

z-score = individual score - mean / standard deviation

Given

James score = 40

Mean = 38

Standard deviation = 10 (missing in question)

To find

z-score =?

Let's put the values in the formula

z-score = 40-38/ 10

z-score = 0.2

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Answer:

C) 3/8 < 1/2   good luck

Step-by-step explanation:

brainliest please

The inequality for the number of cups of lemonade she can buy is :

             0 < c < 5.

Marilyn has $40 to spend in the amusement park.

Admission price = $20

So money left = 40 - 20 = $20

Now she plans to buy a sandwich for $5.

So the money left now will be = 20 - 5 = $15

Price of a cup of lemonade = $3

Marilyn can buy at most $15/3 = 5 cups of lemonade.

She can either choose to not buy a cup of lemonade or can buy at most 5 cups of lemonade.

So the inequality for the number of cups of lemonade she can buy will be

0 < c < 5 , where 'c' denotes the number of cups of lemonade.

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Answer:

x = [tex]\sqrt{a}[/tex] + [tex]\frac{b^2}{2c}[/tex]

Step-by-step explanation:

[tex]\sqrt{a}[/tex] = x - [tex]\frac{b^2}{2c}[/tex] ( add [tex]\frac{b^2}{2c}[/tex] to both sides )

[tex]\sqrt{a}[/tex] + [tex]\frac{b^2}{2c}[/tex] = x

The measure of x, that is, the angle OBA is equal to 22.5°.

Herein we find a geometric system formed by a circle, a diameter and a chord. In the image attached below we present all the possible angles of the geometric system, formed by two isosceles triangles.

According to Euclidean geometry, an isosceles triangle has two sides and two angles of equal length. Then, the sum of the internal angles of the triangle AOB is equal to:

m ∠ AOB + m ∠ OBA + m ∠ OAB = 180°

135° + 2 · m ∠ OBA = 180°

2 · m ∠ OBA = 45°

m ∠ OBA = 22.5°

By taking advantage of the properties of isosceles triangles, the measure of x, that is, the angle OBA is equal to 22.5°.

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The surface area of a cylinder with a height of 8 inches and base diameter of 6 inches is 207.24 square inches

The given parameters are

Height, h = 8 inches

Diameter, d = 6 inches

The radius is calculated as

r = d/2

So, we have

r = 6/2

r = 3

The surface area of a cylinder is calculated as

S = 2πr(r + h)

So, we have

S = 2 * 3.14 * 3 * (3 + 8)

Evaluate

S = 207.24

Hence, the surface area of a cylinder with a height of 8 inches and base diameter of 6 inches is 207.24 square inches

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The best description of the domain of the function is t >= 0

The equation of the function is given as

C(t) = 0.05t + 20

The above equation is a linear function, and the variable t represent the number of text messages in a month

The number of text messages in a month cannot be negative

This means that

t >= 0

Hence, the best description of the domain of the function is t >= 0

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Answer:

-0.5

Step-by-step explanation:

[tex]\frac{f}{g} =\frac{f(n)}{g(n)} = \frac{4n}{n^2-3n}[/tex]

[tex]\frac{4(-5)}{(-5)^2-3(-5)} =\frac{-20}{40} =\frac{-1}{2}[/tex]

The value of the expression [tex]\lim_{x \to A} \frac{xcot(A)-Acot(x)}{x-A}[/tex] is [tex]cot(A)+\frac{A}{sin^{2}A}[/tex].

The value that a function approaches when the input approaches a certain value is known as a limit. Calculus and mathematical analysis are not possible without limits, which are also required to determine derivatives, continuity, and integrals.

Mathematical expressions consist of at least two variables or numbers, at least one arithmetic operation, and a statement. It's possible to divide, multiply, add, or subtract with this mathematical operation.

Consider the expression,

[tex]\lim_{x \to A} \frac{xcot(A)-Acot(x)}{x-A}[/tex]

Adding and subtracting Acot(A) and A common in the numerator,

[tex]\lim_{x \to A} \frac{xcot(A)-Acot(A)+Acot(A)-Acot(x)}{x-A}[/tex]

Taking cot(A) common,

[tex]\lim_{x \to A} \frac{cot(A)(x-A)+A(cot(A)-cot(x))}{x-A}[/tex]

[tex]\lim_{x \to A} cot(A) + \frac{A(cot(A)-cot(x)}{x-A}[/tex]

Now, using the identity:

cot x = cos x / sin x

[tex]\lim_{x \to A} cot(A) + \frac{A(\frac{cos(A)}{sin(A)} -\frac{cos(x)}{sin(x)}) }{x-A}[/tex]

[tex]\lim_{x \to A} cot(A) + \frac{A}{x-A}(\frac{cos(A)sin(x)-cos(x)sin(A) }{sin(A)sin(x)})[/tex]

By using the identity, sin ( a - b ) = sin(a)cos(b) - sin(b)cos(a)

[tex]\lim_{x \to A} cot(A) + \frac{A}{x-A}(\frac{sin(x-A)}{sin(A)sin(x)})[/tex]

[tex]\lim_{x \to A} cot(A) + \frac{A}{x-A}(\frac{sin(x-A)}{sin(A)sin(x)})=\lim_{x \to A} cot(A) +\lim_{x \to A} \frac{sin(x-A)}{(x-A)}\frac{A}{sin^{2}A}[/tex]

[tex]\lim_{x \to A} cot(A) + \frac{A}{x-A}(\frac{sin(x-A)}{sin(A)sin(x)})=cot(A)+1 \cdot \frac{A}{sin^{2}A}[/tex]

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Answer:12/8y

Step-by-step explanation:

i took the test

Answer:

Question 1:

[tex]{ \tt{f(x) = {x}^{2} - 10x + 25}}[/tex]

when f(x) is f(10), we substitute for x as 10; x = 10

[tex]{ \tt{f(10) = {10}^{2} - 10(10) + 25 }} \\ { \tt{f(10) = 100 - 100 + 25}} \\ { \boxed{ \tt{ \: f(10) = 25 \: }}}[/tex]

Question 2:

[tex]{ \tt{f(x) = \frac{2 {x}^{3} - 7 }{10} }} \\ [/tex]

when f(x) is f(-1), we substitute for x as -1; x = -1

[tex]{ \tt{f( - 1) = \frac{2 {( - 1)}^{3} - 7 }{10} }} \\ \\ { \tt{f( - 1) = \frac{ - 2 - 7}{10} }} \\ \\ { \boxed{ \tt{ \: f( - 1) = - \frac{9}{10} \: }}}[/tex]

The value of p is 2 and q is either 7 or 13 and their sum is either 9 or 15.

It is given that the value of p and q is a prime number, and p<q.

But it is also given that the value of both should be less than 18 as well as a prime number.

Therefore the value of both should be 2, 3, 5, 7, 11, 13, and 17.

And it is also given that p<q.

Now we have to find the value of p + q which is odd but not a prime number.

To have a sum as an odd number one number should be even and as it is given that p<q, therefore p=2, and q = 3, 5, 7, 11, 13, 17.

So

p + q = 2 + 5 = 7, which is odd but it is prime

Now again, q = 7

p + q = 2 + 7 = 9 , which is odd as well as not prime.

Again take q = 11

p + q = 2 + 11 = 13, which is odd but prime

Now take q = 13

p + q =  2 + 13 = 15, which is odd as well as not prime.

Now take q = 17

p + q = 2 + 17 = 19, which is odd and prime.

Therefore we have p =2 and q = 7 or 13 and sum p + q =9 or 15 which is odd but not prime.

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Answer:

Step-by-step explanation:

Answer:

y = -3(2)+7

y= -6+7

y= 1

(2,1)

y=-3(5)+7

y= -15+7

y= -8

(5,-8)

y= -3(3)+7

y=-9+7

y=-2

(3,-2)

y=-3(0)+7

y=0+7

y=7

0,7)

Step-by-step explanation:

substitute the values of x in the equation

Answer:

If a stand can hold 157.5kg

x stand can hold 1.25kg

1=

Answer:

126 bags.

Step-by-step explanation:

157.5 / 1.25

= 126.

The interval of true average price of a regular room with a king size bed in the resort community with 99% confidence is ( 14.74, 48.89 )

critical value at 0.01 significance level with 17 df = 2.898

x = mean;

99% confidence interval for μ is

(x - t * S) /√n  <  μ <( x + t * S) /√n;

(135 - 2.898 * 25 )/√18 < μ < (135 + 2.898 * 25)/√18;

14.74<  μ< 48.89;

99% CI is ( 14.74, 48.89 ) ;

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Answer:

The arrow indicates that the angle terminates in the second quadrant, meaning that its more than 270 deg

Answer: x=1

Step-by-step explanation:

Answer:

IMS (Infinitely Many Solutions)

Step-by-step explanation:

1. Combine like terms (2/3x + 1/3x) Equation: 1x = x

2. 1x is just x, so the final equation is x = x. When you get an answer like this, it means there are infinitely many solutions.

Answer:

118 .........................