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denis23 [38]
2 years ago
6

Mr. Barth is painting an arrow on the school parking lot. He draws the edges between the following points on the coordinate plan

e: (–2, 2), (5, 2), (5, 6), (12, 0), (5, –6), (5, –2), (–2, –2). What is the area of the arrow he is painting? Enter your answer in the box.

Mathematics
1 answer:
andreyandreev [35.5K]2 years ago
4 0

Answer:

<u>70 square units</u>

Step-by-step explanation:

<em>I have plotted the points on the coordinate system and connected roughly using a red line. Image is attached. </em>

The arrow created, consists of a TRIANGLE and a RECTANGLE. The area of the arrow would be:

Area of Arrow = Area of Triangle + Area of Rectangle

Area of Triangle = 0.5 * base * height

Base is 12 units

Height is 7 units, so

Area of Triangle = 0.5 * 12 * 7 = 42

Now,

Area of Rectangle = length * height

Length is 7

Height is 4

Area of Rectangle = 7 * 4 = 28

<u>Area of Arrow = 42 + 28 = 70 square units</u>

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one angle of a linear pair is 10 more than two thirds the other angle. find the measure if both angles
BigorU [14]

Answer:

One Angle = 110°

Other Angle = 70°

Step-by-step explanation:

A linear pair means that two angles are in a straight line (or, a straight angle).

A straight line is 180 degrees.

THey are supplementary.

We can say one angle is "a" and another one is "b".

<em>One angle is 10 MORE THAN 2/3rds of the other, we can write:</em>

<em>a=\frac{2}{3}b+10</em>

<em />

<em>Also, since they are supplementary (add up to 180), we can write:</em>

<em>a + b = 180</em>

<em />

We can now substitute 1st equation in this one and find b:

a+b=180\\(\frac{2}{3}b+10)+b=180\\\frac{2}{3}b+b=180-10\\\frac{5}{3}b=170\\b=\frac{170}{\frac{5}{3}}\\b=170*\frac{3}{5}\\b=110

Since a + b = 180, we can write:

a + 110 = 180

so,

a = 180 - 110

a = 70

Thus,

One Angle = 110°

Other Angle = 70°

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