Question

quadrilateral efgh is a rhombus. what is the value of v?

(image of rhombus efgh with side gh labeled v+71 and side eh labeled 4v+56)

v = \boxed{}

Explanation:

Step1: Recall rhombus side property

In a rhombus, all sides are equal. So, \( v + 71 = 4v + 56 \).

Step2: Solve for \( v \)

Subtract \( v \) from both sides: \( 71 = 3v + 56 \).
Subtract 56 from both sides: \( 15 = 3v \).
Divide by 3: \( v = 5 \).

Answer:

\( v = 5 \)