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natita [175]
3 years ago
14

What is the value of y in the figure below? (7y + 27) (15x - 5) 125°

Mathematics
1 answer:
Setler [38]3 years ago
6 0

Answer:

Simplifying

(7y + 27) + (15x + -5) = 125

Reorder the terms:

(27 + 7y) + (15x + -5) = 125

Remove parenthesis around (27 + 7y)

27 + 7y + (15x + -5) = 125

Reorder the terms:

27 + 7y + (-5 + 15x) = 125

Remove parenthesis around (-5 + 15x)

27 + 7y + -5 + 15x = 125

Reorder the terms:

27 + -5 + 15x + 7y = 125

Combine like terms: 27 + -5 = 22

22 + 15x + 7y = 125

Solving

22 + 15x + 7y = 125

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-22' to each side of the equation.

22 + 15x + -22 + 7y = 125 + -22

Reorder the terms:

22 + -22 + 15x + 7y = 125 + -22

Combine like terms: 22 + -22 = 0

0 + 15x + 7y = 125 + -22

15x + 7y = 125 + -22

Combine like terms: 125 + -22 = 103

15x + 7y = 103

Add '-7y' to each side of the equation.

15x + 7y + -7y = 103 + -7y

Combine like terms: 7y + -7y = 0

15x + 0 = 103 + -7y

15x = 103 + -7y

Divide each side by '15'.

x = 6.866666667 + -0.4666666667y

Simplifying

x = 6.866666667 + -0.4666666667y

Step-by-step explanation:

Because I know

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Step-by-step explanation:

It is given that the total measurement of the two angles combined would equate to 116°.

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2(m∠2) + 10 = 116

Next, isolate the <em>variable</em>, m∠2. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 10 from both sides of the equation:

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2(m∠2) = 116 - 10

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