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Elodia [21]
1 year ago
8

HELP with Geometry PLEASES!! 100 points!!!

Mathematics
2 answers:
Igoryamba1 year ago
5 0

Answer:

in order from images displayed, x = 20, x = 6, x = 5.5

Step-by-step explanation:

4x - 8 + 6x - 12 = 180

10x -20 = 180

10x = 200

x = 20

5x - 1 = 29

5x = 30

x = 6

14x - 6 = 12x + 5

2x = 11

x = 5.5

serious [3.7K]1 year ago
5 0
<h2>Answer:</h2>

<u><em>Exercise 1: x is 20°.</em></u>

<u><em>Exercise 2: x= 6.</em></u>

<u><em>Exercise 3: x= 5.5.</em></u>

<h2>Step-by-step explanation:</h2>

<h2><u>Exercise 1.</u></h2><h3>1. Set up an equation.</h3>

<em>If we where to addition both of the angles presented in the image, they have to sum up 180°, because is half a turn. Using this logic, we may add up both of the angles and equal them 180°:</em>

<em />4x-8+6x-12=180

<h3>2. Solve the equation.</h3>

4x-8+6x-12=180\\ \\4x+6x-8-12=180\\ \\10x=180+8+12\\ \\10x=200\\ \\\frac{10x}{10} =\frac{200}{10} \\ \\x=20

<h2>3. Express the result.</h2>

<em>Considering that the result of the equation was 20, there's enough evidence to sustain that the measure of angle x is 20°.</em>

<em />

<em />

<em />

<h2><u>Exercise 2.</u></h2><h3>1. Create an equation.</h3>

<em>If C is the midpoint of AQ, then AC must measure the same as CQ, hence, AC=CQ. In numerical terms:</em>

<em />5x-1=29

<h3>2. Solve the equation.</h3>

5x-1=29\\ \\5x=29+1\\ \\5x=30\\ \\\frac{5x}{5} =\frac{30}{5} \\ \\x=6

<h3>3. Express the result.</h3>

x= 6.

<em />

<em />

<em />

<h2><u>Exercise 3.</u></h2><h3>1. Create an equation.</h3>

<em>It's basically the same as exercise 2, except that this time we are equating to an expression with a variable:</em>

<em />14x-6=12x+5

<h3>2. Solve the equation.</h3>

14x-6=12x+5\\\\14x-12x=5+6\\ \\2x=11\\ \\\frac{2x}{2}=\frac{11}{2}  \\ \\x=5.5

<h3>3. Express the result.</h3>

x= 5.5.

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