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Vinil7 [7]
2 years ago
10

In the diagram, mFLI is 106°, mFLG = (2x – 1)°, mGLH = (x + 17)°, and mHLI = (4x – 15)°.

Mathematics
2 answers:
Lorico [155]2 years ago
3 0

Step 1

<u>Find the value of x</u>

we know that

m∠FLI=m∠FLG+m∠GLH+m∠HLI ---------> equation 1

In this problem we have

m∠FLI=106°

m∠FLG=(2x-1)°

m∠GLH=(x+17)°

m∠HLI=(4x-15)°

Substitute the values in the equation 1

106=(2x-1)+(x+17)+(4x-15)

Combine like terms

106=(2x+x+4x)+(-1+17-15)

106=(7x)+(1)

7x=105

x=15°

Step 2

<u>Find the value of each angle</u>

Substitute the value of x in each angle

m∠FLG=(2*15-1)=29°

m∠GLH=(15+17)=32°

m∠HLI=(4*15-15)=45°

therefore

<u>the answer is</u>

The smallest angle in the diagram is 29\ degrees

Aleonysh [2.5K]2 years ago
3 0
The second one and it = 29
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(1/2 + 3/2)² + (2/3 x 1/2)³
docker41 [41]

The result of the mathematical expression given as follows: (1/2 + 3/2)² + (2/3 x 1/2)³ is 5.59 or 5⅔.

<h3>How to calculate mathematical expressions?</h3>

According to this question, the following expression is given to solve: (1/2 + 3/2)² + (2/3 x 1/2)³

First, we solve the both parts as follows:

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Next, we solve the exponential function as follows:

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Therefore, the result of the mathematical expression given as follows: (1/2 + 3/2)² + (2/3 x 1/2)³ is 5.59 or 5⅔.

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