if 2 polygons are similar what must be true about them

Step-by-step explanation:

By Exterior Angle Theorem, the sum of the 2 inner angles in the triangle will be equal to the exterior angle.

=> x + 48° = 66°, x = 18°.

The required measure of the angle x is given as 18°.

Given that,
A side of the triangle below has been extended to form an exterior angle of 66°

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
The property of the triangle state that the sum of the remote interior angle is equal to the measure of the remote exterior angle,
So,
x + 48 = 66
x = 18°

Thus, The required measure of the angle x is given as 18°.

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Answer:

c

Step-by-step explanation:

Divide each of the side lengths of the larger triangle by the side lengths of the smaller triangle and you get 4

Answer:

=63k+14m

Step-by-step explanation:

=(7)(9k+2m)

=(7)(9k)+(7)(2m)

Answer:

Height = 3v/y² units

StartFraction 3 V Over y squared EndFraction units

Step-by-step explanation:

The volume of a solid right pyramid with a square base is v units3 and the length of the base edge is y units. which expression represents the height of the pyramid? units (3v – y2) units (v – 3y2) units units

Volume of a solid right pyramid = 1/3 × area of the base × height

Volume of a solid right pyramid = v units³

Area of the base = y² unit²

Volume of a solid right pyramid = 1/3 × area of the base × height

v = 1/3 × y² × height

Height = v ÷ 1/3 × y²

= v × 3/1y²

= (v × 3) / y²

= 3v / y²

Height = 3v/y² units

StartFraction 3 V Over y squared EndFraction units

Answer:

B

Step-by-step explanation:

Answer:

y = 4x - 2

Step-by-step explanation:

m = y-y/x-x

m = 6-(-2)/2-0

m = 8/2

m = 4

Answer:

y=4x-2

Step-by-step explanation:

Answer:

Question mark stands for 2d

Step-by-step explanation:

Here, we want to get what the question marks stands for

As we can see, the left was factorized to give the right

So, we have that ;

4d^3 + 6de = 2d(2d^2 + 3e)

so the question mark stands for 2d

Answer: 943.26

Step-by-step explanation:

9.4326

x 100

------------

943.26

Answer: 90946.55

Step-by-step explanation:

The required amount after 20 years would be $90946.55.

Given that,
Oliver invested $53,000 in an account paying an interest rate of 2.7% compounded daily.

Investment is defined as when an individual spends money on something that returns him or her higher money than the money they or invest.

Here,
According to the question,
The amount after 20 years is given as,

[tex]y = 53000[1 + 0.27/365]^{365*20}\\y = 90946.54732\\y \approx 90946.55[/tex]

Thus, the required amount after 20 years would be $90946.55.

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Answer:

25% increase

Step-by-step explanation:

length is 24 inches after the increase and width is 33 inches (i did length as up and down and width as side to side, that's how I always do it but I might be wrong let me know and I can fix it)

the area before it gets increased it 600

after the increase its 792

and 600 is 75.75% of 792

so it would be 25.25% increase

sorry this was so long hope this helps

Answer:

a) [tex]1\,cm^{2}[/tex] is [tex]\frac{1}{6}[/tex] of area A.

b) [tex]1\,cm^{2}[/tex] is [tex]\frac{1}{18}[/tex] of area B.

c) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{3}[/tex] of area C.

d) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{4}[/tex] of area D.

e) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{2}[/tex] of area E.

Step-by-step explanation:

According to stament, the area A is 6 square centimeters, the area B is 18 square centimeters, the area C is 3 square centimeters, the area D is 4 square centimeters and the area E is 2 square centimeters.

The purpose of this exercise is determine all ratios associated with each area, defined as a given area divided by the total area. Then, we proceed to determine each result:

([tex]A_{given} = 1\,cm^{2}[/tex], [tex]A_{A} = 6\,cm^{2}[/tex], [tex]A_{B} = 18\,cm^{2}[/tex], [tex]A_{C} = 3\,cm^{2}[/tex], [tex]A_{D} = 4\,cm^{2}[/tex], [tex]A_{E} = 2\,cm^{2}[/tex])

[tex]r_{A} = \frac{1\,cm^{2}}{6\,cm^{2}}[/tex]

[tex]r_{A} = \frac{1}{6}[/tex]

[tex]r_{B} = \frac{1\,cm^{2}}{18\,cm^{2}}[/tex]

[tex]r_{B} = \frac{1}{18}[/tex]

[tex]r_{C} = \frac{1\,cm^{2}}{3\,cm^{2}}[/tex]

[tex]r_{C} = \frac{1}{3}[/tex]

[tex]r_{D} = \frac{1\,cm^{2}}{4\,cm^{2}}[/tex]

[tex]r_{D} = \frac{1}{4}[/tex]

[tex]r_{E} = \frac{1\,cm^{2}}{2\,cm^{2}}[/tex]

[tex]r_{E} = \frac{1}{2}[/tex]

a) [tex]1\,cm^{2}[/tex] is [tex]\frac{1}{6}[/tex] of area A.

b) [tex]1\,cm^{2}[/tex] is [tex]\frac{1}{18}[/tex] of area B.

c) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{3}[/tex] of area C.

d) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{4}[/tex] of area D.

e) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{2}[/tex] of area E.

Answer:

3 baby carrots, 4 crackers and 6 grapes

Step-by-step explanation:

Given

[tex]Baby\ Carrots = 9[/tex]

[tex]Crackers = 12[/tex]

[tex]Grapes = 18[/tex]

Required

Determine the number of each food item in a lunch box

First we need to get the number of lunch boxes by calculating the GCF of 9, 12 and 18

[tex]9 = 3 * 3[/tex]

[tex]12 = 2 * 2 * 3[/tex]

[tex]18 = 2 * 3 * 3[/tex]

The GCF is:

[tex]GCF = 3[/tex]

This implies that the number of lunch boxes is 3.

If there are 3 lunch boxes:

oh oh i had this question jn leh me find it !!!

Answer: 175

Step-by-step explanation:

If you take 100(as a percentage) and divide it by 40, you get 2.5, 70x2.5 is 175

Answer: B

Step-by-step explanation: B is in slope-intercept form

Answer:

y = -x + 7

Step-by-step explanation:

y = x + 4   slope: 1

slope of perpendicular line: -1

for (2,5)   y interception (b) = y - mx = 5 - (-1)*2 = 7

equation: y = -x + 7

check: -x+7 = -2+7 =5

Answer:

B

Step-by-step explanation:

SAS congruence means that an the concruent angle is found between the two congruent sides. To prove this, IJ and ST must be congruent (so that the angle is between the sides)

Answer:

Step-by-step explanation:

The answer is give me the answer

Answer: y= 4x + 6 Not sure but hope this help

Step-by-step explanation:

Answer: (-3, 0)

Step-by-step explanation:

I am including a picture that explains. Hope this helps!

Answer:

x=-2.4

y=-3.5

Step-by-step explanation:

Step-by-step explanation:

Answer:

37 years

Step-by-step explanation:

Answer:

36 years

Step-by-step explanation:

it would take 36 years to reach the height of 40 feet. I know this because it is already 4 feet and needs to grow 36 feet and if it is growing at a rate of 1 foot per year then it would take 36 years

Answer:

Step-by-step explanation:

It has no real solutions and two complex roots

Answer:

1/12

Step-by-step explanation:

I divided

Answer:

Step-by-step explanation:

Dookie

Answer:

46,691

Step-by-step explanation:

Given that:

Initial population, P = 51000

Decreasing rate = 1.75% = 0.0175

Time, t = 5 years

Using the relation :

A (t) = Po * ( 1 - r)^t

A(t) population after t years

Po = Initial population figure

r = rate of decrease

A(t) = 51000 * (1 - 0.0175)^5

A(t) = 51000 * (0.9825)^5

A(t) = 51000 * 0.91550937355400390625

A(t) = 46690.9780

Hence, population after 5 years will be : 46,691