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Crazy boy [7]
3 years ago
14

Math Help!!! Can someone please solve this?? I will give you Brainliest!

Mathematics
1 answer:
Burka [1]3 years ago
4 0

Triangles PQR and PSR are right triangles, with both QR = SR = 5 (since these are radii of the circle R).

TR is also a radius of the circle, so TR = 5, making PR = 4 + TR = 9.

Because PQR and PSR are right triangles, we can compute the length of the missing side, which will be equal. By the Pythagorean theorem,

PQ^2 + QR^2 = PR^2

PQ^2 + 5^2 = 9^2

PQ^2 = 56

PQ = √56 = 2√14

Then the perimeter of PQRS is

PQ + QR + RS + SP = 2√14 + 5 + 5 + 2√14 = 10 + 4√14

and so the answer is B.

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Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 24 feet,
MatroZZZ [7]

The two quadrilaterals are given similar .

In any similar figure sides are in proportion.The second largest side of quadrilateral ABCD is 16 ft .Let the second longest side of quadrilateral EFGH be x ft. These sides will be in proportion to each other .

The second shortest side of quadrilateral EFGH that is GF will be proportional to the third longest side of quadrilateral ABCD that is BC

We can form a proportion with the proportional sides:

\frac{16}{x} =\frac{12}{18}

To solve for x we cross multiply

12x=(16)(18)

12x=288

Dividing both sides by 12 we get

x=24.

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3 years ago
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Pic included...

I hope this helps u!! :)

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