In parallelogram RSTU , RV measures y+18 units and TV measures 3y−10 units. How many units long is diagonal RT ? (1 point) Responses
A. 32
B. 16
C. 14
D. 64
In a parallelogram, the opposite sides are equal in length. Therefore, we have RT = VS.
We are given that VS = y+18 units and VT = 3y-10 units.
Since RT = VS, we can equate the two expressions:
y+18 = 3y-10
Rearranging the equation, we get:
2y = 28
Dividing both sides by 2, we find:
y = 14
Substituting this value back into the expression for RT, we have:
RT = VS = 14+18 = 32 units
Therefore, the length of diagonal RT is 32 units.
The correct option is A. 32.