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loris [4]
3 years ago
13

What is the value of x? enter your answer, as a decimal, in the box. ft triangle m n p with segment a b parallel to segment n p

and a is between m and n and b is between m and p. m n equals 71.5 feet, a n equals 22 feet, m p equals 97.5 feet, and m b equals x?
Mathematics
2 answers:
hodyreva [135]3 years ago
7 0

Answer:

67.5 ft

Step-by-step explanation:

lubasha [3.4K]3 years ago
4 0
Answer: x = 67.5 ft

Explanation:

Following the statements you can draw the triangles mnp and mab.

1) Both are similar triangles with the common vertex m, and with these corresponding sides:

- segment mn corresponding to ma
- segment np corresponding np
- segment mp corresponding mb

2) So, by side-angle-side theorem

segment ma         segment mb
------------------ = ---------------------
segment mn          segment mp

3) You know:

- segment mn = 71.5
- segment ma = 71.5 - 22 = 49.5
- segment mb = x
- segment mp = 97.5

4) Therefore:

    x            49.5
--------- =  ----------
97.5            71.5

5) Solve for x:

x = 97.5 * 49.5 / 71.5 = 67.5

Answer: x = 67.5 ft.
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Step-by-step explanation:

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1. In order to find the area for that 1/4 region, you would have to find the area of the circle and divide it by 12

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50.24 is the area of 1/4 of the circle.

2. Next you'd have to find the area of the triangle formed by the shaded region, and subtract the triangle from the area of the 1/4 circle.

the triangle is an isoceles triangle with two sides each valuing at 8cm, so to find the area of the triangle you would multiply the two sides (or square them since they're the same number) and divide by two

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2 years ago
Amelie is shopping for children's books and puzzle books. She wants to purchase at least 2 more children's books than puzzle boo
oksano4ka [1.4K]
X = 9
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Step by step:

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3 years ago
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Step-by-step explanation:

|-6+8|

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Answer:

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Step-by-step explanation:

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3 years ago
Read 2 more answers
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