Question

STUV is a parallelogram. Solve for SV:

S
SV =
19
T
4x - 1
2x + 3
U

Answer 1

SV = 13

Explanation:

• the opposite sides of a parallelogram are congruent , so

UV = ST , that is

4x - 1 = 19 ( add 1 to both sides )

4x = 20 ( divide both sides by 4 )

x = 5

Then

TU = 2x + 3 = 2(5) + 3 = 10 + 3 = 13

SV = TU = 13