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natka813 [3]
3 years ago
7

What is the measure of the missing angle?

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
6 0

Answer:

The angle is 59 degrees.

Step-by-step explanation:

A triangle's angles, in total, must equal 180 degrees.

71 + 50 + (6x-1) = 180

71 +50 = 121

121 + (6x-1) = 180

6x - 1 = 59

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How many different 10 person committees can be selected from a pool of 23 people?
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We're going to be using combination since this question is asking how many different combinations of 10 people can be selected from a set of 23.

We would only use permutation if the order of the people in the committee mattered, which it seems it doesn't.

Formula for combination:

C(n,r)=\dfrac{n!}{(n-r)!r!}

Where n represents the number of objects/people in the set and r represents the number of objects/people being chosen from the set

There are 23 people in the set and 10 people being chosen from the set

C(23,10)=\dfrac{23!}{(23-10)!10!}

=\dfrac{23!}{13!\times10!}

Usually I would prefer solving such fractions by hand instead of a calculator, but factorials can result in large numbers and there is too much multiplication. Using a calculator, we get

=1,144,066

Thus, there are 1,144,066 different 10 person committees that can be selected from a pool of 23 people. Let me know if you need any clarifications, thanks!

~ Padoru

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How do you solve this proof?
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1) Given

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3) Given

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Answer: 960

Step-by-step explanation: all you have to do to find the volume is 10*8*12, which would be 960, so the cubic volume is 960.

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Triangle QRS has been translated to create triangle Q'R'S'. RS= R'S' = 10 units, angles Q and Q' are both 90 degrees. Which post
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The <em><u>correct answer</u></em> is:

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These will both be right triangles, as angle Q and angle Q' are both 90 degrees.

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Since Q'R'S' was created by translating QRS, a corresponding leg of both triangles will be congruent; this gives us hypotenuse-leg, or HL.

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