Answer:
B. 2
Step-by-step explanation:
Based on the Midsegment of a trapezoid theorem:
GH = (BC + FE)/2
9x - 3 = (19 + (5x + 1))/2) (substitution)
9x - 3 = (20 + 5x)/2
Cross multiply
2(9x - 3) = 20 + 5x
18x - 6 = 20 + 5x
Collect like terms
18x - 5x = 20 + 6
13x = 26
Divide both sides by 13
x = 26/13
x = 2
Answer:
because there are 8 fluid ounces in a cup
Step-by-step explanation:
1/8 of cup = 0.125 cup = 1 fluid ounce
2/8 of cup = 0.25 cup = 2 fluid ounce
3/8 of cup = 0.375 cup = 3 fluid ounce
4/8 of cup = 0.5 cup = 4 fluid ounce
5/8 of cup = 0.625 cup = 5 fluid ounce
6/8 of cup = 0.75 cup = 6 fluid ounce
7/8 of cup = 0.875 cup = 7 fluid ounce
8/8 of cup = 1 cup = 8 fluid ounce
hope i helped
explanation:
The fastest way to find the missing endpoint is to determine the distance from the known endpoint to the midpoint and then performing the same transformation on the midpoint. In this case, the x-coordinate moves from 4 to 2, or down by 2, so the new x-coordinate must be 2-2 = 0. The y-coordinate moves from 4 to -5, or down by 9, so the new y-coordinate must be -5-9 = -14.
An alternate solution would be to substitute (4,4) for (x1,y1) and (2,-5) for (x,y) into the midpoint formula:
x=(x1+x2)/2
y=(y1+y2)/2
Solving each equation for (x2,y2) yields the solution (0,-14).
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<span> Put the values of above points in the equation of straight </span>line<span> point-</span>slope<span> form m=(y2-y1)/(x2-x1) m=(-</span>5-(-10))/(-1-5) m=(-5+10)/(-6) m=5/-6 m=-5<span>/6. </span>Slope of the line<span> = m = -</span>5<span>/6 so the answer is 5/6</span>
The answer is B) There are exactly 4 students with 6 textbooks
