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tino4ka555 [31]
3 years ago
15

The four points (−2, 5), (−2, −1), (6, −1), and (3, 5) are the vertices of a polygon. What is the area, in square units, of this

polygon?

Mathematics
2 answers:
Norma-Jean [14]3 years ago
6 0

Answer:

39 square units

Step-by-step explanation:

crimeas [40]3 years ago
5 0
Look at the picture.

The polygon is a right-angled trapezoid.

The area is:
A=\frac{a+b}{2} \times h

The points (-2,-1) and (6,-1) lie on the same horizontal line, so the distance between them is 6-(-2)=6+2=8. The length of a is 8 units.
The points (-2,5) and (3,5) lie on the same horizontal line, so the distance between them is 3-(-2)=3+2=5. The length of b is 5 units.
The points (-2,5) and (-2,-1) lie on the same vertical line, so the distance between them is 5-(-1)=5+1=6. The length of h is 6 units.

A=\frac{8+5}{2} \times 6=\frac{13}{2} \times 6=13 \times 3=39

The area is 39 square units.

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The actual volumes of soda in quart-sized bottles can be described by a Normal model with a mean of 32.3 fluid ounces and a stan
VLD [36.1K]

Answer:The percentage of bottles expected to have a volume less than 32 or is 40.13%

Step-by-step explanation: The volumes of soda in quart soda bottles can be represented by a Nomal model with a= 32.3 oz

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Y-score: S-a/b

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Substitute the values of S,a and b into the equation

Y=32-32.3/1.2

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5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Ctext%7BSolve%20for%20x%3A%7D%5C%5C%5C%5C3x%20%2B%2065%20%3D%20523%5C%5C%5C%5C%5Ctext%7BThan
Vlad1618 [11]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

{x=152.666....

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

\boxed{\text{Solving for x...}}\\\\3x+ 65= 523\\----------\\\rightarrow 3x + 65 - 65=523-65\\\\\rightarrow 3x = 458\\\\\rightarrow\frac{3x = 458}{3}\\\\\rightarrow  \boxed{x=152.666....}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

7 0
3 years ago
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If
Zigmanuir [339]

Answer:

Last option

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Step 1: Distribute

x - 3/7 = 1

Step 2: Add 3/7 to both sides

x = 1 + 3/7

x = 10/7

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Answer: It is 86 because it says lowest  and greater than

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Step-by-step explanation:

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