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2 years ago

Complete the statement by typing the letter of the angle. m∠ =54º

Mathematics

2 answers:

satela [25.4K]2 years ago

5 0

Answer:

B is the answer.

Step-by-step explanation:

Got it right on Ed.

tekilochka [14]2 years ago

3 0

Answer:

x = 16

∠A = 39

∠B = 54

∠C = 87

Step-by-step explanation:

Make a equation of all of the angles added together is equal to 180 since the angles of a triangle added together is 180

(4x-10)+(2x+7)+(7x-25)=180

combine like terms

4x+2x+7x-10+7-25 = 180

13x-28=180

solve for x

13x=208

x = 16

plug in x to find the measure of the angle

∠A = 2(16) + 7 = 39

∠B = 4(16) - 10 = 54

∠C = 7(16) - 25 = 87

Add them together to double check your answer

39 + 54 + 87 = 180

hope this helps

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(1/1+sintheta)=sec^2theta-secthetatantheta pls help me verify this

Xelga [282]

Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

$\displaystyle \frac{1}{1+\sin\theta} = \sec^2\theta - \sec\theta \tan\theta$

To start, we can multiply the fraction by (1 - sin(θ)). This yields:

$\displaystyle \frac{1}{1+\sin\theta}\left(\frac{1-\sin\theta}{1-\sin\theta}\right) = \sec^2\theta - \sec\theta \tan\theta$

Simplify. The denominator uses the difference of two squares pattern:

$\displaystyle \frac{1-\sin\theta}{\underbrace{1-\sin^2\theta}_{(a+b)(a-b)=a^2-b^2}} = \sec^2\theta - \sec\theta \tan\theta$

Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:

$\displaystyle \displaystyle \frac{1-\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta \tan\theta$

Split into two separate fractions:

$\displaystyle \frac{1}{\cos^2\theta} -\frac{\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta\tan\theta$

Rewrite the two fractions:

$\displaystyle \left(\frac{1}{\cos\theta}\right)^2-\frac{\sin\theta}{\cos\theta}\cdot \frac{1}{\cos\theta}=\sec^2\theta - \sec\theta \tan\theta$

By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:

$\displaystyle \sec^2\theta - \sec\theta\tan\theta \stackrel{\checkmark}{=} \sec^2\theta - \sec\theta\tan\theta$

Hence verified.

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2 years ago

I don't really need the answer I just want to understand how to get the answer.

Debora [2.8K]

You use the rules of BEDMAS so start with the brackets -[2(-17)] start with 2*-17 which is -34 then multiply -4*-5=20 so now you have 20-(-17)=37 butttt the question is asking to SIMPLIFY so you combine like terms which adds up to 37

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3 years ago

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kobusy [5.1K]

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago