Question

8. If VW = 9x-11 and SU = 16x - 12 find WT

Answer 1

Answer:

WT = 34

Step-by-step explanation:

The ultimate goal here to pinpoint what x is equivalent to. In a rectangle we know that the diagonals are congruent as well as the fact that they bisect each other. This means cutting in half. Using this knowledge we know VW = 9x - 11 is half of SU = 16x - 12.

Step One: Multiply 9x - 11 by 2.

2(9x - 11) = 18x - 22

Step Two: Set up your equation

18x - 22 = 16x - 12

Step Three: Solve for x

18x - 22 = 16x - 12

2x - 22 = -12

2x = 10

x = 5

Step Four: Substitute to check your work

16(5) - 12 = 68

9(5) - 11 = 34

Again, since the diagonals of a rectangle bisect each other VW = WT.

34 is half of 68 proving our findings.