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madreJ [45]
3 years ago
10

20 points!!!

Mathematics
2 answers:
Serjik [45]3 years ago
8 0

Area is found by multiplying the length by the width.

Length = AB = 12

Height = 9

Area = 12 *9 = 108 units^2

The answer is D.

Ratling [72]3 years ago
7 0

Answer:  The correct option is (D) 108 units².

Step-by-step explanation:  We are given to find the area of the special trapezoid ABCD in the figure, where

AB = 12 units, CD = 12 units and height, h = 9 units.

From the figure, we note that

AB = CD = 12 units and AB is parallel to CD.

So, one pair of opposite sides of the trapezoid are parallel and equal. That means, ABCD is a parallelogram.

The area of a parallelogram with base length b units and height h units is given by

A=b\times h.

In the given parallelogram ABCD,

base, b = CD = 12 units

and

height, h = 9 units.

Therefore, the area of ABCD will be

A=b \times h=12\times9=108~\textup{units}^2.

Thus, the required area of the trapezoid is 108 units².

Option (D) is correct.

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HACTEHA [7]

Answer:

  B and C describe vertical angles

Step-by-step explanation:

Point R will be the common vertex of any possible pair of vertical angles.

For a given line segment, such as AE, one end will designate a side of one of the vertical angles, and the other end will designate a side of the other angle of the pair.

For example, Choice B uses the crossing segments TN and FL and identifies the vertical angles TRF and NRL.

Choice C uses segments FL and AE to identify the vertical angles LRE and FRA.

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Choice A does not involve crossing segments. Choice D makes use of segment AE, but the other points S and N are not on the same segment.

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Which expressions are equivalent to -56z+28−56z+28minus, 56, z, plus, 28?
bearhunter [10]

Answer:

B) (-1.4z+0.7)\times 40

D) (8z-4)(-7)

Step-by-step explanation:

Given expression:

-56z+28

To find the equivalent expression.

We will evaluate each expression in the given choices to check the equivalence.

A) \frac{1}{2}(-28x+14)

Using distribution.

⇒ \frac{-28z}{2}+\frac{14}{2}

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Using distribution.

⇒ (-1.4z\times 40)+(0.7\times 40)

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Using distribution.

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Using distribution.

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