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LUCKY_DIMON [66]
3 years ago
6

Help memememememe please

Mathematics
2 answers:
lawyer [7]3 years ago
5 0

Answer:

∠b = 54°

they add up to 180

7x + 14 + 5x - 26 = 180

12x = 192

x=16

thus ∠b = 54°

Step-by-step explanation:

Leviafan [203]3 years ago
4 0

Answer:

good evening good evening good evening good evening

Step-by-step explanation:

w

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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;

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Learn more about trigonometric ratios here:

brainly.com/question/4326804

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