Which angles equal 91°? angles T and V angles S and U angles U and V angles S and T.

Mathematics

1 answer:

Ahat [919]3 years ago

5 0

Answer:

Angles T and V

Step-by-step explanation:

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The product of 3 and a number is the same as 10 less than twice the number

kicyunya [14]

Hello!

First, create a variable representing the number. In this case, let's just say n = the number.

Now, solve this by side. You can tell which is on which side of the equation by the words "is the same as". Anything before that is on one side, and anything after is on the other.

Left side: "The product of 3 and a number"

Here, we get our first side. The product means when two numbers are multiplied together. Thus, the product of 3 and a number would be 3 and a number multiplied together, or 3n.

Right side: "10 less than twice the number"

Finally, our last side. What we want to do first is "twice the number". This is because this happens first, even though the words are ordered differently. Twice the number means the number doubled, or *2. Therefore, multiply 2 and n together, to get 2n.

Next, add the "10 less" part. To do this, subtract 10 from 2n. We then get 2n - 10.

Finally, put the equation together. Take 3n and 2n-10, and create an equation. We get 3n = 2n-10.

Therefore, we have our final answer, or 3n = 2n - 10.

Hope this helps!

8 0

3 years ago

A committee consisting of 4 faculty members and 5 students is to be formed. Every committee position has the same duties and vot

Zina [86]

<u>Answer: </u>

The number of ways to form the committee is formed = 637065

<u>Solution: </u>

The number of combinations of n things such that m things taken together are given by:-

$C_{(\boldsymbol{n}, \boldsymbol{m})}=\frac{n !}{m !(\boldsymbol{n}-\boldsymbol{m}) !}$

Given Data:

A committee consisting of 4 faculty members and 5 students is to be formed. There are 12 faculty members and 13 students eligible to serve on the committee.

Then, the number of ways to form the committee is formed given by :-

$\begin{array}{l}{12 C_{4} \times 13 C_{5}} \\\\ {=\frac{12 !}{4 !(12-4) !} \times \frac{13 !}{5 !(13-5) !}} \\\\ {=\frac{12 !}{4 ! 8 !} \times \frac{13 !}{5 ! 8 !}} \\\\ {\frac{12 \times 11 \times 10 \times 9 \times 8 !}{27 \times 8 !} \times \frac{13 \times 12 \times 11 \times 10 \times 9 \times 8}{120 \times 8 !}} \\\\ {=637065}\end{array}$