Step-by-step explanation:
Slope (m) =ΔYΔX=12=0.5θ =arctan(ΔY)ΔX=26.565051177078°ΔX = 6 – 4 = 2ΔY = 10 – 9 = 1Distance (d) = √ΔX2 + ΔY2 = √5
= 2.2360679774998
Tan(58)=10/x
x=10/tan(58)
x= 6.2
Based on corresponding angles, the upper left angle will be the supplement of 130, which is 50 degrees. The upper right angle is perpendicular, so it is 90 degrees. Since the sum of all internal angles of a triangle is 180, the remaining angle (lower angle) is 40 degrees. This is choice G.
In a parallelogram, consecutive angles are supplementary.
3y + 78 = 180
3y = 102
y = 34
Six books at 8 dollars each is equivalent to $48.00
You are only paying 80% of that cost (100%-20%)
Therefore you are multiplying 48 by .8
Your answer should be equal to $38.40
