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brilliants [131]
3 years ago
11

triangle DEF is a dilation of triangle ABC with scale factor 2. In triangle ABC, the largest angle measures 82°. What is the lar

gest angle measure in triangle DEF
Mathematics
1 answer:
Akimi4 [234]3 years ago
4 0

Answer:

The largest angle measure in triangle DEF = 82°  

Explanation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

So, the shape of the triangles ABC and DEF are the same.

Sine the shape is similar the angle of the dilated triangle and considered triangle are the same.

The largest angle measure in triangle DEF = The largest angle measure in triangle ABC

  The largest angle measure in triangle DEF = 82°      

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What value of x satisfies the equation 5(x – 3) – 2(x + 1) = 4?
hjlf

Answer:

x = 7

Step-by-step explanation:

To solve:

Distribute 5 among everything inside the first parentheses. You'll get 5x - 15.

Next distribute -2 among everything in the second parentheses. You'll get

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<u>All together: 5x - </u><u>15</u><u> </u><u>-</u><u>2x </u><u>-</u><u> </u><u>2</u><u> </u><u>= 4</u>

Now combine like terms:

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________________________________

Last, don't forget to check your work.

You can plug in 7 for x to get:

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5 × 7 = 35

5 × -3 = -15

35 - 15 = 20

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-2 × 1 = - 2

-14 -2 = -16

<u>20 - 16 = 4</u>

⬆⬆⬆Therefore this is correct.

Sorry this is a bit lengthy, but hope this helps :)

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