Question

Solve for x.Question options:A) 11 B) 13 C) 12 D) 10

Answer 1

Line YZ is the midsegment of triangle QRS because it connects the midpoints of lines QR and RS. We would solve for x by appying the midsegment theorem which states that the midsegment is half the length of the third side or base. This means that

YZ = 1/2(QS)

x + 2 = 1/2 * (3x - 8)

2(x + 2) = 3x - 8

By opening the parenthesis, we have

2x + 4 = 3x - 8

Collecting like terms, we have

3x - 2x = 4 + 8

x = 12

Option C is correct