When two angles are supplementary, their angle measures add up to 180°. That means that the angles measures of angle m and angle n should add up to 180. With this information, you can set up the equation m + n = 180. You can find the value of x by substituting m and n with their values and solving algebraically.
6x + 3 + 2x - 7 = 180 Add up like values (6x and 2x) (3 and -7)
8x - 4 = 180 Add 4 to both sides
8x = 184 Divide both sides by 8
x = 23
Now to find the measures of angles m and n, substitute the x value into both of the equations and solve.
m = 6x + 3 Substitute
m = 6(23) + 3 Multiply
m = 138 + 3 Add
m = 141°
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n = 2x - 7 Substitute
n = 2(23) - 7 Multiply
n = 46 - 7 Subtract
n = 39°
You can check your work by adding the two angle measures to make sure hey are supplementary.
141° + 39° = 180°
So angle m is 141° and angle n is 39°.
Answer:
x=70
Step-by-step explanation:
when added together, verticle angles equal 180 degrees.
2x-10+x+20=180
3x-10+20=180
3x-30=180
3x=210
x=70
Answer: the is c
Step-by-step explanation:
example
3(x-7)+1
3 multiply anything
3x-21+1
add 1 to -21 equal -20
3x-20
Answer:
0.7
Step-by-step explanation:
Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0, or (0,y))
For lines to be parallel, their slopes have to be the SAME.
The given line's slope is 4, so the parallel line's slope is also 4.
y = 4x + b
To find "b", plug in the point (-3,5) into the equation.
y = 4x + b
5 = 4(-3) + b
5 = -12 + b Add 12 on both sides
17 = b
y = 4x + 17
