Answer:
x = 42
Step-by-step explanation:
The marked angles are supplementary, so their sum is 180°.
(2x +8) +(2x +4) = 180
4x +12 = 180 . . . . . . . . . simplify
x +3 = 45 . . . . . . . divide by 4 (because we can)
x = 42 . . . . . . subtract 3
_____
<em>Additional comment</em>
A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.
Answer:
<em>3y+5x=6</em>
Step-by-step explanation:
<u>Equation of the Line</u>
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
The line passes through the points (6,-8) and (-3,7), thus:
Simplifying:
Multiplying by 3:
Moving all the variables to the left side:
3y + 5x = 30 - 24
3y + 5x = 6
Answer:
The measure of the complement is 30°
Step-by-step explanation:
we know that
Two angles are supplementary if their sum is equal to 180 degrees
Two angles are complementary if their sum is equal to 90 degrees
Let
x -----> the measure of an angle
we know that
180°-x=4(90°-x)
Solve for x
180°-x=360°-4x
4x-x=360°-180°
3x=180°
x=60°
Find the complement
90°-x=90°-60°=30°
Answer:
21
Step-by-step explanation:
Yes because 9 is bigger than 0.
