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2 years ago

In rectangle ABCD, AB = 18, BC = 24, and AECF is a rhombus. Find FD. The figure is not drawn to scale.

Mathematics

1 answer:

zhuklara [117]2 years ago

7 0

Answer:

Step-by-step explanation:

Let's say BE is x then:

x^2 + 18^2 = (24 - x)^2

==> x = 5.25

BE = FD == x

==> FD = 5.25

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faust18 [17]

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16. Find the value of x*<br> 8. 2x-6<br><br> A 10 <br> B 7<br> C -7<br> D -10

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Can two lines be drawn from a point not on a line that will meet the line at a right angle? at a 45° angle? explain each answer.

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ziro4ka [17]

Answer:

(a) 315°

(b) 3°

Step-by-step explanation:

Bearings are measured clockwise from north. The triangle described is illustrated in the attachment.

The bearing of P from R is 180° different from the bearing of R from P it will be ...

135° +180° = 315° . . . . bearing of P from R

The bearing of Q from R is 48° more than the bearing of P from R, so is ...

315° +48° = 363°, or 3° . . . . bearing of Q from R

The angle QPR has a value that makes the sum of angles in the triangle equal to 180°. It is ...

180° -48° -55° = 77°

The bearing of Q from P is 77° less than the bearing of R from P, so is ...

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As above, the reverse bearing from Q to P is ...

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