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  • 01-06-2021
  • Mathematics
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Use what you know about similarity and proportions to solve for x in the triangles below. Show all work.
4
10
5
x + 5

Use what you know about similarity and proportions to solve for x in the triangles below Show all work 4 10 5 x 5 class=

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PiaDeveau PiaDeveau
  • 06-06-2021

Answer:

Value of x = 7.5 unit

Length of side = 12.5 unit

Step-by-step explanation:

Given that both triangles are similar because all angles are equal;

So, the ratio of similar lines is in the same proportion.

[x + 5] / 5 = 10 / 4

4[x + 5] = 50

4x + 20 = 50

4x = 50 - 20

4x = 30

x = 30 / 4

x = 7.5

So,

Value of x = 7.5 unit

Length of side = x + 5

Length of side = 7.5 + 5

Length of side = 12.5 unit

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