Question

What is the value of p?

Answer 1

p = 9

Explanation:

We are given UX is congruent to WX. We also know VX is congruent to VX (it is itself)

This tells us the two triangles are congruent by SAS.

We then can create the equation:

UV = VW (because of CPCTC)

p + 54 = 7p (substitution)

54 = 6p (simplify)

p = 9 (division)