Find x In rectangle QRST, QS = 5x - 31 and RT = 2x + 11.
Find the lengths of the diagonals of QRST.

A.4
B.6
C.14
D.16

C

Step-by-step explanation:

The diagonals of a rectangle are congruent, then

5x - 31 = 2x + 11 ( subtract 2x from both sides )

3x - 31 = 11 ( add 31 to both sides )

3x = 42 ( divide both sides by 3 )

x = 14

Then

RT = 2x + 11 = 2(14) + 11 = 28 + 11 = 39

The diagonals are each 39 units

B: 8%

Step-by-step explanation:

It asks for percentage of total students, so we add the male and female student totals for a total of 150 students. We also add the numbers of those that are left handed for a total of 12. We divide 12 by 150 (12/150) to get the decimal, 0.08, which is 8%.