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3 years ago

Picture is shown !!!!

Mathematics

2 answers:

bixtya [17]3 years ago

3 0

What is the length of PR?

d.9 is the length

The reason is because as we have 2 triangles and 21 is divided by 3 we have proof that 27/3=9.

Hope I helped!

marusya05 [52]3 years ago

3 0

You can use deductive reasoning for this. The angle measures are the same so they are similar triangles. This means that they are proportionate. Because the smaller left side is 1/3 the amount of the bigger one, you can assume that the other side follows the same pattern. The smaller side would be 1/3 the size of the bigger side and 1/3 of 27 is 9.

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Andreyy89

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2 years ago

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3 years ago

Read 2 more answers

The area of a rectangular sheet of metal is 135 square inches. The perimeter is 48 inches. What are the dimensions of the sheet?

mezya [45]

Answer: The length is 15 inches and breadth is 9 inches

Step-by-step explanation:

Given : Area of rectangular sheet = 135 square inches

Perimeter of rectangular sheet = 48 square inches

Now Area of rectangular sheet = $Length\times Breadth$ = 135 square inches

perimeter of rectangular sheet = $2\times (Length+Breadth)$ = 48 square inches

Thus $(Length+Breadth)$ = 24 square inches

Thus Length = 15 inches

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3 0

3 years ago

Find the perimeter of the pentagon with vertices M(-2,5), N(2,5), P (5, 3),

wlad13 [49]

The perimeter of the pentagon is approximately 19.6.

<h3>Procedure - Determination of the perimeter of a pentagon</h3><h3 />

In this question we must plot the locations of each vertex on a Cartesian plane to determine the line segments that form the perimeter, whose lengths are determined by Pythagorean theorem and sum the resulting values to find the perimeter.

According to the image attached below, the line segments of the pentagon are MN, NP, PQ, QR and RM. By Pythagorean theorem we have the following lengths:

<h3>Line segment MN</h3><h3 /><h3> $l_{MN} = \sqrt{[2-(-2)]^{2}+(5-5)^{2}}$ </h3><h3> $l_{MN} = 4$ </h3><h3 /><h3>Line segment NP</h3><h3 /><h3> $l_{NP} = \sqrt{(5-2)^{2}+(3-5)^{2}}$ </h3><h3> $l_{NP} = \sqrt{13}$ </h3><h3 /><h3>Line segment PQ</h3><h3 /><h3> $l_{PQ} = \sqrt{(5-5)^{2}+(0-3)^{2}}$ </h3><h3> $l_{PQ} = 3$ </h3><h3 /><h3>Line segment QR</h3><h3 /><h3> $l_{QR} = \sqrt{(3-5)^{2}+(3-0)^{2}}$ </h3><h3> $l_{QR} = \sqrt{13}$ </h3><h3 /><h3>Line segment RM</h3><h3 />

$l_{RM} = \sqrt{(-2-3)^{2}+(5-3)^{2}}$