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Natali [406]
2 years ago
11

Find the value of x and y.

Mathematics
1 answer:
NISA [10]2 years ago
8 0

Answer:

x = 71 and y = 109

Step-by-step explanation:

x = 180 - 109 = 71

y = 109 vertical angles

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Step-by-step explanation:

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Which of the following are solution to the inequality below -4w - 2 &lt; -38
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Step-by-step explanation:

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Lin is playing hand ball and wants the ball to bounce off wall CB and land at D. Where on the wall should she aim if she's stand
ASHA 777 [7]

The triangles formed by the path of the ball and the wall in the given diagram are similar triangles.

<h3>Correct Response;</h3>

The point on the wall she should aim is; <u>A. 7.8 feet away from point B</u>

<h3 /><h3>Method by which the above value is obtained;</h3>

The possible diagram in the question is attached

Let <em>x</em> represent the distance from point <em>B</em> where the ball lands.

ΔCDE is similar to ΔABE, by Angle-Angle similarity postulate.

By trigonometric ratio, the tangent of the angles ∠CDE and ∠BAE are;

tan(\angle CDE) = \mathbf{\dfrac{20 - x}{25}}

tan(\angle BAE) = \mathbf{ \dfrac{x}{16}}

tan(∠CDE) = tan(∠BAE)

Therefore;

\dfrac{20 - x}{25} = \dfrac{x}{16}

Which gives;

16 × (20 - x) = 25·x

320 = 41·x

x = 320 ÷ 41 ≈ 7.8

The point on the wall she should aim if she's standing at point <em>A</em> is therefore;

  • <u>A, 7.8 feet away from point </u><u><em>B</em></u>

Learn more about trigonometric ratios here:

brainly.com/question/4326804

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