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alisha [4.7K]
2 years ago
8

In Exercises 5-8, find the perimeter and area of the polygon with the given vertices.

Mathematics
1 answer:
castortr0y [4]2 years ago
4 0

Check the picture below.

as  we can see in the picture, the lengths for YZ and ZX are very straight, let's get the side YX

~~~~~~~~~~~~\textit{distance between 2 points} \\\\ Y(\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\qquad X(\stackrel{x_2}{2}~,~\stackrel{y_2}{4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ YX=\sqrt{[2 - 0]^2 + [4 - (-2)]^2}\implies YX=\sqrt{2^2+(4+2)^2} \\\\\\ YX=\sqrt{4+6^2}\implies YX=\sqrt{40} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{2~~+~~6~~+~~\sqrt{40}~~\approx~~14.32} ~\hfill \stackrel{\textit{\Large Area}}{\cfrac{1}{2}(2)(6)\implies 6}

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<h3>Answer: Choice A) EF, EG, FG</h3>

================================================

Explanation:

We'll use these two rules

  1. The smallest side is always opposite the smallest angle
  2. The largest side is always opposite the largest angle

This only applies to triangles.

EF is the smallest side because the angle G is the smallest angle.

FG is the longest side because it is opposite the largest angle E

That places EG in the middle.

The order of the sides from smallest to largest is EF, EG, FG

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3 years ago
A tea‑drinking Canadian friend of yours claims to have a very refined palate. She tells you that she can tell if, in preparing a
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Answer:

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This can be calculated using formula nCr

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Calculating 6C3 using calculator that is 20.

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3 years ago
A bag of flour weighs 5 lb. 5/7 lb of flour was used to make bread. How many
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Answer:

Step-by-step explanation:

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35/7 - 5/7

= 30/7 = 4 2/7 lb

Multiply the denominators, 7 by 5,and 1 by 7. When you have the same denominator in each fraction you can subtract. (7x4= 28, 30-28= 2)

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3 years ago
A senior paid $3.47, $9.50 and $2.50 for lunch during a basketball tournament. What was the average amount he paid over three da
cestrela7 [59]

Answer:

The average amount he paid over 3 days is $15.47.

Step-by-step explanation:

4 0
3 years ago
In triangle UVW , the measure of angle W=90^ , the measure of angle U=31^ °, and UV = 31 feet. Find the length of VW to the near
Basile [38]

Answer:

Step-by-step explanation:

VW, also know as side X (as shown in image) can be found using the sine. Sin(theta)=opposite/hypotenuse. In this case, theta is 31 degrees and the hypotenuse is 31 feet. Plugging in all known values, we would have sin(31)=x/31. Rearrange the equation and isolate X on one side. Then use a calculator to find the answer. Good luck!

8 0
3 years ago
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