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Anvisha [2.4K]
3 years ago
15

Two lines intersect parallel lines m and n as shown. What is the value of x? A)24 B) 48 C)60 D) 66

Mathematics
1 answer:
Fiesta28 [93]3 years ago
4 0

Answer:

C. 60

Step-by-step explanation:

48+72=120

x=180-120

x=60

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To calculate the cost of painting his silo, a farmer must find its height. The farmer uses a cardboard square to line up the top
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Answer:

Height of the silo = 18 feet.

Step-by-step explanation:

From the figure attached BC is the length of the silo and the height of the farmer is 5 ft.

Farmer is standing at 8 ft distance from the silo.

From triangle AEC,

tan(∠CAE) = \frac{CE}{AE}

                 = \frac{5}{8}

m(∠CAE) = tan^{-1}(\frac{5}{8})

               = 32°

m∠BAE = 90° - 32° = 58°

From the triangle ABE,

tan58° = \frac{BE}{AE}

BE = 8tan58°

BE = 12.8 ft

Total height of the silo = BE + EC

                                         = 12.8 + 5

                                         = 17.8

                                         ≈ 18 ft          

Therefore, total height of the silo is 18 ft.

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A) The length of the longer leg is x-1

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d) There is one positive real root, at x=13. A graphical solution works well.

The three sides of the triangle are 5 in, 12 in, 13 in.


_____
5-12-13 is a well-known Pythagorean triple. It is the next smallest one after 3-4-5.

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