If geometry symbol represented as small triangle with three sides. abc a geometry symbol represented as small triangle with thre

Question

2 years ago

5

e sides. dec, what is the value of x?

1 answer:

DedPeter [7] · Answer 1 · 2023-03-13T13:20:53+03:00

The value of x = 1 so the correct answer is option D.

The complete question is attached in the image below.

<h3 /><h3>What is coordinate geometry?</h3>

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Given that triangles ABC and DEC are congruent to each other.

We are to find the value of x.

From the figure, we note that

AB = 4x - 1, BC = 4, AC = 5, DE = x+2, CE = 4 and EC = 5.

Since ΔABC ≅ ΔDEC, their corresponding sides will be equal.

Therefore, we must have

AB = DE

4x - 1 = x + 2

4x - x = 2 + 1

3x = 3

x = 1

Thus, the required value of x is 1.

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