Answer: D) 32
Step-by-step explanation:
The area of a parallelogram equals its base times its height. Substitute the base and area into this formula to solve for the height:
A=bh
40=(5)(h)
h=8
If ABCD is a parallelogram, opposite sides are parallel, so AB is parallel to DC. If AB is parallel to DC, EB is parallel to DC. Since EB is parallel to DC, quadrilateral EBCD has at least one pair of parallel sides, making it a trapezoid. The area of a trapezoid is equal to
where h is the height,
is one base, and
is the other base. Plug the necessary values into the formula:
A=


h=8
A=
A=32
The answer is D) 32.
Answer:
x=3/2
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answer is 210 m (3)
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Look at the picture.
We have the equation (1) 12x + 4y = 40.
We know, the sum of the acute angles in a right triangle is 90°.
Therefore we have the equation (2) (12x + 4y) + (17x - y) = 90
Substitute (1) to (2):
40 + 17x - y = 90 <em>subtract 40 from both sides</em>
17x - y = 50 (3)
We have the system of equations:

Substitute the value of x to (3)

Answer: x = 3 and y = 1.