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2 years ago

I'm having a hard time with my geometry class. Please help me!

Mathematics

2 answers:

frez [133]2 years ago

6 0

Answer:

Angle EFG is 82 degrees and Angle GFH is 98 degrees.

Vedmedyk [2.9K]2 years ago

3 0

Answer:

Angle EFG = 82 degrees; Angle GFH = 98 degrees

Step-by-step explanation:

Linear pairs are angles that are placed side by side. When you add them together, you get 180 degrees.

Show work:

3n + 22 + 4n + 18 = 180

7n + 40 = 180

7n = 140

n = 20

Plug in the variable:

Angle EFG:

3(20) + 22

60 + 22

Angle EFG = 82 degrees

Angle GFH

4(20) + 18

80 + 18

Angle GFH = 98

Check:

98+ 82 = 180 degrees

180 degrees was the total so the answer is correct.

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Step-by-step explanation:

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$\frac{1}{2} \times x \times \sqrt{149} = 54$

⇔ $x =\frac{108}{\sqrt{149} }$ units

Therefore the perpendicular distance from B to AC is = $\frac{108}{\sqrt{149} } units$

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