Question

in the following diagram, triangle cde is congruent to triangle fgh. what is the value of x? 1 point

Explanation:

Step1: Use congruent - side property

Since \(\triangle CDE\cong\triangle FGH\), corresponding sides are equal. So, \(ED = HG\).
We have the equation \(2x + 5=7\).

Step2: Solve the linear equation

Subtract 5 from both sides of the equation \(2x+5 = 7\):
\(2x+5 - 5=7 - 5\), which simplifies to \(2x=2\).
Then divide both sides by 2: \(\frac{2x}{2}=\frac{2}{2}\), so \(x = 1\).

Answer:

1