Hello!
Supplementary angles sum up to 180°, therefore:
m∠1 + m∠2 = 180°
x - 17 + x + 83 = 180°
Combine like terms:
2x + 66 = 180°
Subtract 66 from both sides:
2x = 114°
Divide both sides by 2:
x = 57°
Find the measures of both angles using this value:
m∠1 = 57 - 17 = 40°
m∠2 = 57 + 83 = 140°
42.5
5/2=2.5
2.5 is the scale factor
Therefore, 17 x 2.5=42.5
Answer:
91/8, 11.375, 11 3/8
Step-by-step explanation:
is what I got when simplified
9514 1404 393
Answer:
D. 2x - 6 = 5x - 45
Step-by-step explanation:
To make the linear equation, we can multiply the given equation by 5(x-3).
Answer:
the mistake they made was the wrong offset from point (0,0) into the y direction. the incline of the line was correct.
the correct equation is y = 1/2×x - 2, because this line contains both points (4,0) and (0,-2)
Step-by-step explanation:
we are looking for a line equation
y = a×x + b
the 2 points give us 2 equations to solve for the 2 variables a and b :
0 = a×4 + b
-2 = a×0 + b
=> b = -2
=> -b = a×4, => a = -b/4 = 2/4 = 1/2
so, the right equation for the line going through both points is
y = 1/2×x - 2
the difference to the original equation is simply the offset from the x- axis in the y direction.
the original equation would be parallel to the correct equation but hit the y-axis at (0,4) instead of (0,-2), and it would hit the x-axis at (-8,0) instead of (4,0)