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IgorC [24]
3 years ago
9

What is the value of x

Mathematics
2 answers:
Kazeer [188]3 years ago
8 0

Answer:

\boxed {\boxed {\sf x=45}}

Step-by-step explanation:

The 2 angles are on a straight line, so they are supplementary and add to 180 degrees.

Set up an equation.

(x+7)+(4x-52)= 180

Combine like terms on the left side of the equation. The terms with the variable x and the constants can be added.

(x+4x) + (7-52) = 180

5x-45=180

We are solving for x, so we must isolate the variable. 45 is being subtracted. The inverse operation of subtraction is addition. Add 45 to both sides.

5x-45+45=180+45

5x=180+45

5x=225

x is being multiplied by 5. The inverse operation of multiplication is division. Divide both sides by 5.

\frac{5x}{5}= \frac{225}{5}

x= \frac{225}{5}

x=45

The value of x is <u>45.</u>

Mashcka [7]3 years ago
4 0

Answer:

45

Step-by-step explanation:

Together, these two angles form a flat line which is 180 degrees

(x + 7) + (4x - 52) = 180

5x - 45 = 180

    + 45    + 45

5x = 225

x = 45

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