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Llana [10]
3 years ago
11

In the diagram, KL = , LM = , and MN = . What is the perimeter of isosceles trapezoid KLMN?

Mathematics
1 answer:
slamgirl [31]3 years ago
6 0
The trapezoid is isosceles. Thus, the bases are \overline{KL} and \overline{NM}, while the equal sides are \overline{LM} and \overline{KN}.

This also means that the length of the sides \overline{LM} and \overline{KN} are equal.


The perimeter of the trapezoid is the sum of the lengths of the sides of the trapezoid, so the perimeter is:

KL+LM+MN+NL=2 \sqrt{2}+ \sqrt{5}+ \sqrt{2}+\sqrt{5}=3 \sqrt{2}+2 \sqrt{5}.


Answer: third choice
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3 years ago
How many possible committees of 4 people can be chosen from 15 men and 20 women so that at least two women should be on each com
Mnenie [13.5K]

<span>If there has to be 2 men and 2 women, we know that we must take a group of 2 men out of the group of 15 men and a group of 2 women out of the group of 20 women. Therefore, we have:

(15 choose 2) x (20 choose 2)


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Therefore, there are 19950 ways to have a group of 4 with 2 men and 2women.</span>

 

<span>If there has to be 1 man and 3 women, we know that we must take a group of 1 man out of the group of 15 men and a group of 3 women out of the group of 20 women. Therefore, we have:

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Therefore, there are 17100 ways to have a group of 4 with 3 women and 1 man.</span>

 

<span>We now find the total outcomes of having a group with 4 women.

We know this is the same as saying (20 choose 4) = 4845</span>

Therefore, there are 4845 ways to have a group of 4 with 4 women.

 

We now add the outcomes of 2 women, 3 women, and 4 women and get the total ways that a committee can have at least 2 women.

 

19950 + 17100 + 4845 = 41895 ways that there will be at least 2 women in the committee


5 0
3 years ago
Solve for h. 15 = -3(h + 12) h =​
cluponka [151]

Answer:

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15=-3(h+12)

1. Do distributive property

15=-3h-36

-3h=51

H=-17

5 0
3 years ago
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