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3 years ago

Given that triangle ABC is congruent to triangle DEC, find the value of x. (Apex)

Mathematics

2 answers:

Scilla [17]3 years ago

8 0

Answer:

x = 8

Step-by-step explanation:

In the figure attached ΔABC is similar to ΔCDE

By theorem of similarity of the triangles, corresponding sides of the similar triangles will be in the same ratio.

$\frac{AB}{DE}=\frac{AC}{CD}$

$\frac{30}{18}=\frac{(2x-1)}{(x+1)}$

$\frac{5}{3}=\frac{(2x-1)}{(x+1)}$

By cross multiplication

5(x + 1) = 3(2x -1)

5x + 5 = 6x - 3

5x - 6x + 5 = -3

-x + 5 = -3

-x = -3 - 5

-x = -8

x = 8

Therefore, x = 8 is the answer.

valkas [14]3 years ago

6 0

Answer:

what is x

Step-by-step explanation:

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3 years ago

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<h2>Answer :</h2>

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