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emmasim [6.3K]
2 years ago
13

Given rectangle QUAD, If DU = 5x - 4 and QP = 2x + 7, then find the length of DU.

Mathematics
1 answer:
ira [324]2 years ago
3 0

Answer:

DU = 86

Step-by-step explanation:

Properties of a rectangle,

- Opposite sides are equal in measure.

- Diagonals of a rectangle are equal.

- Diagonals bisect each other.

In the given rectangle QUAD,

Diagonals AQ and DU bisect each other at P.

AQ = DU

2(QP) = DU [Since, AQ = 2(PQ)]

2(2x + 7) = 5x - 4

4x + 14 = 5x - 4

5x - 4x = 14 + 4

x = 18

Since, DU = 5x - 4

DU = 5(18) - 4

     = 90 - 4

     = 86

Therefore, measure of DU = 86 units

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