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Artyom0805 [142]
3 years ago
9

Solve for x by finding the missing side of the triangle. Round your answer to the nearest tenth ​

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
8 0
180-90-35=55°

sin(55)=.8191520443
11/.8191520443=13.42852048
13.42852048sin(90)=13.42852048

rounded equals 13.4
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Can someone help me with this
Morgarella [4.7K]

Answer:

FG=30

Step-by-step explanation:

Since we know that Point G is on the Segment FH, it doesn't really matter where G is, but we can know for certain that:

FH=FG+GH

We are given that FH is 4x, GH is x, and FG is 2x+10. Substitute:

4x=(2x+10)+x

Solve for x. On the right, combine like terms:

4x=3x+10

Subtract 3x from both sides:

x=10

So, the value of x is 10.

To find the value of FG, substitute 10 into its x:

FG=2x+10\\FG=2(10)+10

Multiply:

FG=20+10

Add:

FG=30

And we're done!

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Troyanec [42]

Answer:

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