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kkurt [141]
2 years ago
7

42. The diagram represents a ramp in the shape of a right triangle and the lengths

Mathematics
1 answer:
oee [108]2 years ago
5 0

The length of the ramp is  61 feet.

<h3>What is the length of the ramp?</h3>

In order to determine the  length of the ramp, Pythagoras theorem would be used.

The Pythagoras theorem: a² + b² = c²

where a = length

b = base

c = hypotenuse

√11² + 60²

√121 + 3600

√3721

= 61 feet

Please find attached the image of the ramp. To learn more about Pythagoras theorem, please check: brainly.com/question/14580675

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Answer:

x = 16 and y = 121

Yes, its a long process.

Step-by-step explanation:

vertical angles are congruent given that: we do this

(4x-5)+(4x-5)+y+y=360

or

2(4x-5)+2y=360

divide both sides by 2

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distribute (there is an invisible 1 beside the parentheses of 4x-5)

4x-5+y=180

add 5 to both sides

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subtract y from both sides

4x = 185-y

divide both sides by 4

x = (185-y)/4

note that (4x-5) is also EQUAL to (3x+11)

4x-5=3x+11

subtract 3x from both sides

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add 5 to both sides

x = 16

Now that we know what x is, we can substitute it in the equation we got from 2(4x-5)+2y=360

Our equation was

x = (185-y)/4

16 = (185-y)/4

Multiply both sides by 4

64 = 185-y

Subtract 185 from both sides

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multiply both sides by -1

121 = y

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