2 years ago

Ismail tried to prove that sin(θ) = cos(90°− θ) using the following diagram. His proof is not correct.

Mathematics

1 answer:

Anton [14]2 years ago

5 0

Answer:

C. Ismail used the wrong sides in his ratio for cos (90 - θ)

Step-by-step explanation:

All steps correct apart from:

cos (90° - θ) = AC/BC

It should be

cos (90° - θ) = AB/BC

Correct choice is C

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Given that ABC~LMN What is the length of AC?

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Answer:

B. 12

Step-by-step explanation:

✔️Find the value of x

The side lengths of two similar triangles are always proportional.

Given that ∆ABC ~ ∆LMN, therefore:

$\frac{AB}{LM} = \frac{AC}{LN}$

AB = 5

LM = 10

AC = x + 5

LN = 3x + 3

Plug in the values

$\frac{5}{10} = \frac{x + 5}{3x + 3}$

Cross multiply

$5(3x + 3) = 10(x + 5)$

$15x + 15 = 10x + 50$ (distributive property)

Collect like terms

$15x - 10x = -15 + 50$

$5x = 35$

Divide both sides by 5

x = 7

✔️Find AC

AC = x + 5

Plug in the value of x

AC = 7 + 5

AC = 12

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The graph shows the 2005 median income of some year-round workers and the number of years of school. Estimate the median income

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Answer:20??

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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