Question

I nned help understanding this math problem.

Answer 1

Answer:

C

Step-by-step explanation:

From the midsegment theorem we can conclude that

QR = $\frac{1}{2}$ NP

Using QR = 3x + 2 and NP = 2x + 16, then

3x + 2 = $\frac{1}{2}$(2x + 16) = x + 8 ( subtract x from both sides )

2x + 2 = 8  ( subtract 2 from both sides )

2x = 6 ( divide both sides by 2 )

x = 3

As a check

QR = 3x + 2 = 3(3) + 2 = 9 + 2 = 11

NP = 2x + 16 = 2(3) + 16 = 6 + 16 = 22

Thus QR is one half NP is confirmed

Answer 2

Answer:

C.  QR=1/2NP  ;  x=3

Step-by-step explanation:

QR=1/2NP ⇔ NP=2QR ⇔ 2x+16=2(3x+2) ⇔ 2x+16=6x+4 ⇔ 12=4x ⇔ x=3