Question

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

Answer 1

what is x

Explanation:

Answer 2

x = 8

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.

`(AB)/(DE)=(AC)/(CD)`

`(30)/(18)=((2x-1))/((x+1))`

`(5)/(3)=((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.