Question

The quadrilateral is a rhombus. What is QT?

Answer 1

QT = 8

Explanation:

the sides of a rhombus are congruent , then

PS = RS ( substitute values )

3y - 1 = 2y + 3 ( subtract 2y from both sides )

y - 1 = 3 ( add 1 to both sides )

y = 4

The diagonals of a rhombus bisect each other

QS = 5y - 4 = 5(4) - 4 = 20 - 4 = 16

then

QT =
`(1)/(2)` QS =
`(1)/(2)` × 16 = 8

Answer 2

Explanation:

qu = 5y - 4

and qt is half of qu

so

qt =
`(5y - 4)/(2)`