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Amiraneli [1.4K]
2 years ago
6

If x = 5 units, y = 6 units, and h = 6 units, find the area of the trapezoid shown above using decomposition. A. 102 square unit

s B. 30 square units C. 66 square units D. 48 square units

Mathematics
1 answer:
Kitty [74]2 years ago
3 0

Answer:

C. 66 square units

Step-by-step explanation:

The area of the middle rectangle would by base × height, or y × h, or 6 × 6.

The area is 36.

The area for one triangle would 1/2 × base × height.

(But since there are two triangles to solve for, the 1/2 is not necessary, and we can just do base × height again.)

So, it would be x × h, or 5 × 6.

The area is 30.

Combine both areas to get the whole area of 66 units²

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In triangle MNO, angle N is 5 times the measure of angle M, and angle O is 4 times the measure of angle M
Helen [10]

Answer:

m\angle M=18\°\\\\m\angle N=90\°\\\\m\angle O=72\°

Step-by-step explanation:

 In order to find the measure of each angle, it is important to remember that the sum of the interior angles of a triangle is 180 degrees. Knowing this, you can write the following equation:

M+N+O=180    [Equation 1]

Based on the information given in the exercise, you know that:

N=5M    [Equation 2]

O=4M    [Equation 3]

Then, you can substitute the Equations 2 and 3 into the Equation 1 and then solve for "M" in order to find the measure of the angle "M" in degrees:

M+5M+4M=180\\\\10M=180\\\\M=\frac{180}{10}\\\\M=18

Substituting this value into the Equations 2 and 3, you can find the measure of the angle "N" in degrees and the mesure of the angle "O" in degrees. These are:

N=5(18)=90\\\\\\O=4(18)=72

Therefore:

m\angle M=18\°\\\\m\angle N=90\°\\\\m\angle O=72\°

4 0
3 years ago
Solve.<br> 3x-4y=-5<br> -x+2y=3<br> Write answer in the form (x,y).
ch4aika [34]
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-2*1+4y=6
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Answer:
(1,2)

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There are no substitutes for x that will equal this equation. So, there is no solution.
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Hree students were working on 630,000÷700 in math class.
xz_007 [3.2K]

Answer:

900

Step-by-step explanation:

900 is the answer i think so

4 0
2 years ago
Read 2 more answers
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