Answer:
25/30
Simplified: 5/6
Step-by-step explanation:
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The capacity is the same as the amount because it refers to the amount of what is inside the object. Lets say you have a bag of chips it refers to the amount inside the bag of chips.
We use the law of correspondence that is
Hypotenuse = Hypotenuse Leg = Leg
3y + x = y + 5
and
y - x = x + 5 --------------------------------- work on your first problem to find x
x = -2y + 5
now you can plug this in to your second equation to sub in for the x
y - ( -2y + 5 ) = ( -2y + 5 ) + 5 y + 2y - 5 = -2y + 10 3y - 5 = -2y + 10 5y = 15 y = 3
Now you can plug back in to solve for x
3y + x = y + 5 3(3) + x = (3) + 5 9 + x = 8 x = -1
so y = 3 and x = -1
Your points are (-2, 7) and (18, 1). To find the slope, use the slope formula (y_2 - y_1)/(x_2 - x_1)
(18, 1) --> (x_2, y_2)
(-2, 7) --> (x_1, y_1)
(1 - 7)/(18 - (-2)) --> -6/20 --> -3/10
The slope of the line passing through the points (-2, 7) and (18, 1) is -3/10.
