Answer:
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Step-by-step explanation:
Answer:
x = 4
m<cdb = 82
Step-by-step explanation:
The exterior angle thm states that the exterior angle of a triangle is equal to the sum of the opposite interior angles:
7x + 2 + 17x = 98
24x + 2 = 98
24x = 96
x = 4
m<cdb =
y + 98 = 180
y = 180 - 98
y = 82
The equation of a line in the slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents y intercept
The equation of the given line is expressed as
3x - 6y = 30
Rearranging it so that it will look like the slope intercept form, it becomes
6y = 3x - 30
Dividing both sides by 6, it becomes
6y/6 = 3x/6 - 30/6
y = x/2 - 5
Looking at the equation, slope, m = 1/2
If two lines are parallel, it means that they have equal slope. This means that the slope of the line parallel to the given line is 1/2
To determine the y intercept, c of the line passing through the point (4, - 9), we would substitute
x = 4, y = - 9 and m = 1/2 into the slope intercept equation. It becomes
- 9 = 1/2 * 4 + c
- 9 = 2 + c
c = - 9 - 2
c = - 11
By substtuting m = 1/2 and c = - 11 into the slope intercept equation, the equation of the line would be
y = x/2 - 11
ANSWER: M(-9,-4) to M’(-5,2)
If (x,y) is to (x+4,y+6)
Then (-9,-4) is to (-9+4,-4+6)
Hence (-9,-4) is to M’(-5,2)
Hopefully it’s correct
