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Simora [160]
3 years ago
7

5.Find the slope of a line perpendicular to

Mathematics
1 answer:
Lemur [1.5K]3 years ago
5 0
Hi there!

When the slopes of two perpendicular lines are multiplied the outcome will be -1.

The slope is the number that is positioned in front of the variable x in the formula. In this case the slope of the given line is -2/5.

Let's call the slope of the perpendicular line m and take into account the given data of the question and my earlier explanation. We then find the following:

-  \frac{2}{5}  \times m =  - 1
Divide both sides by - 2/5.

m =   \frac{ - 1}{  - \frac{2}{5} }  = 2 \frac{1}{2}  =   \frac{5}{2}
The answer is B.

~ Hope this helps you!
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<h3>Answer:  73</h3>

==================================================

Work Shown:

Check out the diagram below. Note the pair of alternate interior angles that are congruent (each 37 degrees). Then focus on triangle ABC. With the reference angle being at A, this means we use the tangent function because BC = x is the opposite side and AB = 97 is the adjacent side.

tan(angle) = opposite/adjacent

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tan(37) = x/97

97*tan(37) = x

x = 97*tan(37)

x = 73.094742859971

For the last step, you'll need a calculator that can handle trig functions. Make sure the calculator is in degree mode. The result here is approximate. This rounds to 73 when rounding to the nearest whole number.

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