Hello!
We know what the base and area of the parallelogram are, but the height is still unknown. We also know that the formula for the area is:
A = bh
Meaning we multiply the base by the height to find the area. The opposite of multiplication is division, so we must divide the area by the base to find the height. (We work in the opposite way).
B = a / h
B = 700 cm² / 35 cm
B = 20
We can double check by multiplying 20 by 35, and the product should result in 700.
20 * 35 = 700
Therefore, the height of the parallelogram is 20 centimetres.
Step-by-step explanation:
start from f(g(x))
f(g(x))= 3(g(x)) -2
f(g(x))= 6x -2
h(f(g(x)))=(f(g(x)))² -5(f(g(x)))
h(f(g(x)))=(6x-2)² -5(6x-2)
h(f(g(x)))=36x²-24x+4-(30x-10)
h(f(g(x)))=36x²-24x+4-30x+10
h(f(g(x)))=36x²-54x+14
Parallel lines have the same slope. The slope of y = -1/3 x + 4 is -1/3.
The equation is
(y - 5) = -1/3 (x - 6)
y = -1/3 x -1/3 (- 6) + 5 = -1/3 x + 2 + 5 = -1/3 + 7
The equation is: y = - 1/3 x + 7
y = -1/3 x
Because segments XY and XZ are of equal length, angle Y and angle Z must be congruent.
All inner angles must add to 180 degrees since it's a triangle.
70+70+x=180
140+x=180
x=40
Final answer: D
1.)18/27 2.)15:10 3.)6.30 4.)160 5.)400 6.)426 7.)10 cups 8.)102.4 9.)0 1
