Step-by-step explanation:
Given mCDF = (3x + 14), mFDE = (5x - 2), and mCDE = (10x – 18)", then the expression mCDE = mCDF+mFDE is true.
To get x, we will substitute the given angles into the formula as shown;
(10x – 18) = (3x + 14)+ (5x - 2)
10x-18 = 3x+5x+14-2
10x-18 = 8x+12
10x-8x = 12+18
2x = 30
x = 30/2
x = 15
Find the measure of each angle
For mCDF:
mCDF = 3x + 14
mCDF = 3(15)+ 14
mCDF = 45+14
mCDF = 59°
For mFDE:
mFDE = (5x - 2)
mFDE = 5(15) - 2
mFDE = 75-2
mFDE = 73°
For mCDE:
mCDE = (10x – 18)
mCDE = 10(15) - 18
mCDE = 150-18
mCDE = 132°
The point-slope equation of the line is y - 8 = 3(x - 6)
<h3>How to determine the equation?</h3>
The points are given as:
(x1, y1) = (6, 8)
The slope is given as:
m= 3
The equation is then calculated as:
y - y1 = m(x - x1)
This gives
y - 8 = 3(x - 6)
Hence, the point-slope equation of the line is y - 8 = 3(x - 6)
Read more about linear equations at:
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Multiply 3 by the denominator, then add the numerator. Then we keep the original denominator.
So we get:
3 x 5 = 15 + 3 = 18
we get:
18/5
Answer:
0 zero
Step-by-step explanation:
The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Combine x x and 13 1 3 . Rewrite in slope-intercept form. Using the slope-intercept form, the y-intercept is 0 .
Answer:
d
Step-by-step explanation:
