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3 years ago

The first pentagon is dilated to form the second pentagon. Drag and drop the answer to correctly complete the statement.

2 answers:

4 0

If the bigger pentagon has side length of 5 units and the smaller pentagon has side length of 1 unit, you can know that the dilation was 1/5 = 0.2

This means that the sides of the big pentagon were multiplied by 0.2 to obtain the smaller pentagon.

Stella [2.4K]3 years ago

3 0

Answer:

0.2

Gotta Beileve In Yourself!

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Solve for d: d + 9 = 15 show work please

oksian1 [2.3K]

Answer:

Step-by-step explanation:

First, subtract 9 on both sides:

d+9-9=15-9

d=6

Hope this helped!

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3 years ago

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Tiffany wants to make 6 batches of cookies. She will need 2 cups of sugar for each

Readme [11.4K]

Answer:12 cups of sugar

Step-by-step explanation:

There is 6 batches each batch has two cups you would do 6x2 for 12 cups.

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3 years ago

Which expression is equivalent to 7/16 ? A. 7 − 16 B. 16 x 7 C. 7 ÷ 16 D. 16 ÷ 7

ValentinkaMS [17]

C. Is the correct answer

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3 years ago

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Isolating a variable in two equations is easiest when one of them has a coefficient 1.

Tomtit [17]

Answer:

Option C.

Step-by-step explanation:

The given equations are

$3A-B=5$

$2A+3B=-4$

We need isolate one of the variables, such that it appears by itself on one side of the equation.

Isolating a variable in two equations is easiest when one of them has a coefficient 1.

In equation 1, coefficient of B is 1. So, we can easily isolate one of the variables.

The equation is

$3A-B=5$

Subtract 3A from both sides.

$-B=5-3A$

Multiply both sides by -1.

$B=3A-5$

Therefore, the correct option is C.

6 0

3 years ago

Triangle XYZ is shown, where n ≥ 5. Triangle X Y Z is shown. The length of side X Y is n + 4, the length of side Y Z is 2 n, and

motikmotik

Answer:

The longest side of the triangle is YZ, the shortest side is ZX, the largest angle is ∠X and the smallest angle is ∠Y.

Step-by-step explanation:

The lengths of the sides of the triangle XYZ are as follows:

XY = n + 4

YZ = 2n

ZX = n - 2

According to the triangle inequality theorem, the sum of two sides of a triangle is always greater than the third side.

Then,

XY < YZ + ZX ⇒ n + 4 < 2n + n - 2 ⇒ n + 4 < 3n - 2 ⇒ 2n > 6 ⇒ n > 3

YZ < XY + ZX ⇒ 2n < n + 4 + n - 2 ⇒ 2n < 2n + 2 ⇒ 0 < 2

ZX < XY + YZ ⇒ n - 2 < n + 4 + 2n ⇒ n - 2 < 3n + 4 ⇒ 2n > -6 ⇒ n > -3

It is provided that n ≥ 5.

Then the sides of the triangle are:

XY = n + 4 ≥ 5 + 4 = 9

YZ = 2n ≥ 2 × 5 = 10

ZX = n - 2 ≥ 5 - 2 = 3

So, the longest side of the triangle is YZ. And the shortest side is ZX.

The largest angle of a triangle is opposite to the longest side.

The angle opposite to YZ would be X. So, the largest angle is ∠X.

The smallest angle of a triangle is opposite to the shortest side.

The angle opposite to ZX would be Y. So, the smallest angle is ∠Y.

Thus, the longest side of the triangle is YZ, the shortest side is ZX, the largest angle is ∠X and the smallest angle is ∠Y.

6 0

3 years ago