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Gala2k [10]
3 years ago
13

Solve for the value of d.

Mathematics
2 answers:
Anettt [7]3 years ago
7 0

9°

Step-by-step explanation:

In the given diagram we see that both the angles are complementary i.e. they form an angle of 90°

So therefore,

According to the question

(6d + 8) + (3d + 1) = 90

=  > 9d = 90 - 8 - 1

=  > 9d =  81

=  > d =  \frac{81}{9}

=  > d = 9

Answer - d = 9°

Hope it helps you!!

#IndianMurgaツ

serg [7]3 years ago
5 0

Answer:

d is 9

Step-by-step explanation:

(6d+8) + (3d+1)=90

9d +9=90

9d=90-9

9d =81

d=81/9

d is 9

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