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

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.

The length of WT is 34.

Rectangle is a two dimensional figure which has four sides and four angles and all the angles are right angles.

We have,

VW = 9x - 11

Diagonals of a rectangle bisect each other.

So, WT = 9x - 11

VT = 2(9x - 11)

Also, we have,

SU = 16x - 12

The two diagonals of a rectangle are equal.

2(9x - 11) = 16x - 12

18x - 22 = 16x - 12

18x - 16x = -12 + 22

2x = 10

x = 5

WT = 9x - 11 = (9 × 5) - 11 = 34

Hence the length of the line WT is 34.

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