In parallelogram RSTU , RV measures y+18 units and TV measures 3y−10 units. How many units long is diagonal RT ? (1 point) Responses
32
16
14
64
To find the length of diagonal RT, we can use the properties of a parallelogram.
In a parallelogram, opposite sides are congruent. So, we can equate the lengths of RV and SU:
RV = SU
Since RV measures y+18 units, SU also measures y+18 units.
Similarly, we can equate the lengths of TV and UT:
TV = UT
Since TV measures 3y-10 units, UT also measures 3y-10 units.
Now, we need to find the length of diagonal RT, which is equal to the sum of the lengths of SU and UT.
RT = SU + UT
RT = (y+18) + (3y-10)
RT = 4y + 8
So, diagonal RT is 4y + 8 units long.