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olga55 [171]
3 years ago
8

The slope of the line whose equation is given

Mathematics
1 answer:
rosijanka [135]3 years ago
8 0
The slope is 9/1 hope i helped
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What is the answer lol somebody help me please and thank you !
PilotLPTM [1.2K]

I'm guessing that you know about 45-45-90 and 30-60-90 triangles.

In 45-45-90 triangles, the legs are in a ratio such that the hypotenuse is \sqrt{2} times the legs.

In 30-60-90 triangles, the legs are in a ratio of 1:\sqrt{3}:2

In the picture given we have been given a value of the side of the 45-45-90 triangle. We can deduce that the value of the hypotenuse is 9\sqrt{2} because of the ratio of the sides of a 45-45-90 triangle.

The 30-60-90 triangle shares the same hypotenuse, and so we now know a value of one of its sides as well. The ratio of the side of value 'x' and the hypotenuse is \sqrt{3} : 2

We can create an equation to solve for x using these ratios:

\frac{\sqrt{3} }{2} = \frac{x}{9\sqrt{2} }

Cross multiply:

2x = 9\sqrt{6}

x = \frac{9\sqrt{6} }{2}

Option C

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