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emmasim [6.3K]
3 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]3 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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The midpoint, M, of points A and N is (8,10) because;
Point A is (-6,-6) which has a slope of 8/7 (rise/run) with M, (1,2). So, if 8/7 is repeated/ added to M, it will be point N.
1+7=8 (run/x)
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5 0
3 years ago
Solve for w<br> Simply as much as possible <br> -4w+7=-10w+37
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Answer:

5

Step-by-step explanation:

-4w+7=-10w+37

+10w      +10w

=============

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==========

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3 years ago
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PYTHAGOREAN THEOREM IN 3D URGENT PLEASE PHOTO INSERTED
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To find the length of the diagonal, we need to calculate the length of the base first and then use the value to calculate the diagonal since we are given the value of height of the triangle.

<h3>Pythagorean Theorem</h3>

This theorem is used to find the missing side of a right angle triangle given that we have the length of two sides.

To calculate the base of the triangle, let's use Pythagorean theorem here

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From the calculations above, the values of the triangle are

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Learn more on pythagorean theorem here;

brainly.com/question/231802

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1 year ago
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