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pychu [463]
3 years ago
12

See picture. Please show work

Mathematics
2 answers:
gtnhenbr [62]3 years ago
8 0

Answer:

option b) is not similar but they have ( mid point theorem) EF parallel to vu

and half of UV

lapo4ka [179]3 years ago
5 0

Answer:

its the last one i had this question like 5 days ago i am sure

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Can somebody please help me?
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Tim must read 2 books from a list of 7 recommended books for his summer reading program. In how many different ways can Tim choo
Marianna [84]

There are 21 ways Tim choose 2 books from the 7 recommended book

<em><u>Solution:</u></em>

Given that Tim must read 2 books from a list of 7 recommended books for his summer reading program

To find: different ways can Tim choose 2 books from the 7 recommended books

This is a combination problem

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected

<em><u>The formula for combinations is:</u></em>

n C_{r}=\frac{n !}{r !(n-r) !}

where n represents the number of items, and r represents the number of items being chosen at a time

Here we have to choose 2 books from 7 books

Therefore, n = 7 and r = 2

<em><u>Substituting values in above formula, we get</u></em>

\begin{aligned}&7 C_{2}=\frac{7 !}{2 !(7-2) !}\\\\&7 C_{2}=\frac{7 !}{2 ! \times 5 !}\end{aligned}

For a number n, the factorial of n can be written as,

n !=n \times(n-1) \times(n-2) \dots \dots \times 2 \times 1

Therefore, we get

7 C_{2}=\frac{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 5 \times 4 \times 3 \times 2 \times 1}\\\\7C_2 = 7 \times 3 = 21

Thus there are 21 ways Tim choose 2 books from the 7 recommended book

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3 years ago
Evaluate u + xy, for u = 20, x = 9, and y = 8
elena-14-01-66 [18.8K]
This is how you work it out:
u + xy
Plug in your numbers that you know:
20 + 9 * 8
20 + 72
92
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3 years ago
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