When lines are parallel, they have the same slope, so the statement "line a and line b have the same slope" is TRUE
When lines are perpendicular, the slopes are opposites (the sign and number is flipped)
For example:
slope is 2
perpendicular line's slope is -1/2
slope is -1
perpendicular line's slope is 1/1 or 1
slope is 4/5
perpendicular line's slope is -5/4
When you multiply(the product) perpendicular slopes together, they equal -1. Since line c is perpendicular to line a and line b, the product of their slopes is -1.(so this is true)
The statement "the sum of the slopes of line a and b is 0" is false because if they have the same slope, when added together the result would not be 0. The slopes of line a and line b is -2/3, so the sum would be -4/3.
Answer:
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Step-by-step explanation:
Answer:
50
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
A + B + C = 180
2x-10 + 70+ x+30 = 180
Combine like terms
3x +90 = 180
Subtract 90 from each side
3x+90-90=180-90
3x= 90
Divide by 3
3x/3= 90/3
x=30
We want to find angle A
A = 2x-10
=2*30 -10
=60-10
50
