Answer:
x = -2 or -9
Step-by-step explanation:
You want the values of x such that the line defined by the two points (2x+3, x+2) and (0, 2) is perpendicular to the line defined by the two points (x+2, -3-3x) and (8, -1).
<h3>Slope</h3>
The slope of a line is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
Using the formula, the slopes of the two lines are ...
m1 = (2 -(x+2))/(0 -(2x+3)) = (-x)/(-2x-3) = x/(2x +3)
and
m2 = (-1 -(-3-3x))/(8 -(x+2)) = (2+3x)/(6 -x)
<h3>Perpendicular lines</h3>
The slopes of perpendicular lines have product of -1:
<h3>Solutions</h3>
The values of x that satisfy this equation are x = -2 and x = -9. The attached graphs show the lines for each of these cases.
Answer: m<1 is 60, m<2 is 60, and m<3 is 120
Step-by-step explanation:
M<1 is 60 and m<2 is also 60 because the interior triangle angles have to equal 180 so M<1 + m<2 + 60 = 180 so m<1 and m<2 are both sixty.
m<3 is 120 because m<2 and m<3 are supplementary so if a supplementary angle is equal to 180 then m<2 + m<3 = 180 and m<2 is 60 so m<3 is 120.
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Answer:
x = 8
Step-by-step explanation:
The marked angles are <em>alternate interior angles</em>, so are congruent.
8x -4 = 60
8x = 64 . . . . . . . . . . add 4 to both sides
x = 64/8 = 8 . . . . . . divide both sides by 8
The value of x is 8.
Answer:
We would need more information to figure out who or what ate the numbers. It gives no examples of things that would. I hope you understand this. Have a great day :)
Answer:
1. x = -37 - 7y
2. x = 7+3y/4