Question

geometry w/data analysis, honors (1 cr): section 5 (lms)
triangle congruence 4: practice & problem-solving savvas
what is the value of x?
x =

Explanation:

Step1: Use triangle congruence

Since the two triangles are congruent (by the markings of equal sides and included angle), their corresponding sides are equal. So, \(13x - 12=7x - 6\).

Step2: Solve the equation for \(x\)

Subtract \(7x\) from both sides: \(13x-7x - 12=7x - 7x- 6\), which simplifies to \(6x-12=-6\).
Add \(12\) to both sides: \(6x-12 + 12=-6 + 12\), so \(6x = 6\).
Divide both sides by \(6\): \(x=\frac{6}{6}\).

Answer:

\(1\)