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iVinArrow [24]
3 years ago
15

If LaTeX: m\angle ABF=8s-6m ∠ A B F = 8 s − 6 and LaTeX: m\angle ABE=2\left(s+11\right)m ∠ A B E = 2 ( s + 11 ), find LaTeX: m\a

ngle EBFm ∠ E B F. LaTeX: m\angle EBF=m ∠ E B F = [measure]LaTeX: ^\circ
Mathematics
1 answer:
kolbaska11 [484]3 years ago
8 0

Answer:

<h2><em>2(3s-14)</em></h2>

Step-by-step explanation:

Given the angles ∠ABF=8s-6, ∠ABE = 2(s + 11), we are to find the angle ∠EBF. The following expression is true for the three angles;

∠ABF = ∠ABE + ∠EBF

Substituting the given angles into the equation to get the unknown;

8s-6 = 2(s + 11)+ ∠EBF

open the parenthesis

8s-6 = 2s + 22+ ∠EBF

∠EBF = 8s-6-2s-22

collect the like terms

∠EBF = 8s-2s-22-6

∠EBF = 6s-28

factor out the common multiple

∠EBF = 2(3s-14)

<em></em>

<em>Hence the measure of angle ∠EBF is 2(3s-14)</em>

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9 buses

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Which statement best describes the value of the expression 42 - (20 +<br> 3)? *
ludmilkaskok [199]

Answer:

The bottom one: The value is the difference of 42 and the sum of 20 and 3.

Step-by-step explanation:

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75 ft^2

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Solve each triangle - find any missing side and angle measures. Round answers to the nearest tenth.
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The sides of the right-angle triangle will be 16 units and 20.30 units. And the missing angle will be 52°.

<h3>What is a right-angle triangle?</h3>

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The side AC will be

tan 38° = 12.5 / AC

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Then the side AB will be

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We know that the angle sum is 180 degrees. Then we have

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More about the right-angle triangle link is given below.

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