Question

use the image to answer the question. in parallelogram rstu, rv measures y + 18 units and tv measures 3y - 10 units. how many units long is diagonal rt? (1 point) 64 16 32 14

Explanation:

Step1: Recall parallelogram property

In a parallelogram, the diagonals bisect each other. So, $RV = TV$.
$y + 18=3y - 10$

Step2: Solve for y

Subtract y from both sides: $18 = 2y- 10$.
Add 10 to both sides: $28 = 2y$.
Divide both sides by 2: $y = 14$.

Step3: Find length of RT

Since $RT=RV + TV$ and $RV = TV$, and $RV=y + 18$, when $y = 14$, $RV=14 + 18=32$.
So $RT=2\times RV=2\times32 = 64$.

Answer:

64