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KatRina [158]
3 years ago
9

In the pully system shown in this figure, MQ = 10 in, NP = 3in and QP=24in. Find MN

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
3 0

Answer:

The correct option is a. The length of MN is 25.

Step-by-step explanation:

Given information: MQ = 10 in, NP = 3 in and QP=24 in.

If the centers of two circles of radius r₁ and r₂ are d units apart, then the length of the direct common tangent between them is

l=\sqrt{d^2-(r_1-r_2)^2}

24=\sqrt{d^2-(10-3)^2}

Square both sides.

576=d^2-49

625=d^2

Take square root both sides.

25=d

Therefore  length of MN is 25 and option a is correct.

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The relationship between the lengths of the sides of a right triangle are

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Reasons:

Part A:

∠A = 90°

Segment AD ⊥ Segment BC

Location of point D = Side BC

Part A: In triangle ΔABC, we have;

∠A = 90°, ∠B = 90° - ∠C

In triangle ΔADC, we have;

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In triangle ΔABD, we have;

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\overline{DA} = √(36) = 6

\overline{DA}<u> = 6</u>

Learn more here:

brainly.com/question/2269451

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