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Leto [7]
3 years ago
7

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!

Mathematics
1 answer:
Anika [276]3 years ago
8 0

Answer:

Step-by-step explanation:

Triangle GEF is a right angle triangle.

From the given right angle triangle

GE represents the hypotenuse of the right angle triangle.

With ∠E as the reference angle,

FE represents the adjacent side of the right angle triangle.

FG represents the opposite side of the right angle triangle.

To determine tan E, we would apply the tangent trigonometric ratio

Tan θ = opposite side/adjacent side. Therefore,

Tan E = 56/33

Tan E = 1.69697

It becomes 1.70 to the nearest hundredth.

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Please help<br> Value of x<br> and what are angles m thank you!
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To find the value of x, you want to use the vertical angles theorem.

The vertical angles theorem says that all vertical angles (which is what TRY and QRW are) are congruent to each other. Knowing this you can make an equation where the angles are equal to each other to find the value of x.

TRY = QRW, so:

(x+16) = (4x-5)

1. Add 5 to both sides.

(x+21) = (4x)

2. You can get rid of the parentheses.

x+21 = 4x

3. Subtract x from both sides.

21 = 3x

4. Divide both sides by 3, isolating x.

7 = x

5. Flip this equation around, so:

x = 7

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To find the measure of TRY then plug x into the expression for TRY, which is (x+16).

TRY => ((7)+16) = 23

Since TRY is 23, the vertical angles theorem says that QRW is also 23. Add these measures up.

23+23 = 46

A line's measure is 180 degrees, so two lines would add up to 360 degrees. Subtract 46 from 360 to find the remaining degrees.

360-46 = 314

TRQ and YRW must be congruent to each other so that means you can divide 314 by 2.

314/2 = 157

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Answers are:

TRY = 23

TRQ = 157

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