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3 years ago

(SAT PREP) Find the value of x. (I have several, please help!!)

Mathematics

1 answer:

balandron [24]3 years ago

7 0

question 1 :- sum of all angles of a triangle is 180°

so, x + 39° + 25° + 15° = 180°

⇒x + 79° = 180°

⇒x = 101°

question 2 : draw the along with AD and make and triangle as shown in figure.

as ABCD is a parallelogram. so, angle FDE = 180° - x

and angle FED = 180° - x [ as FEA + FED = 180° ]

now from ∆DEF,

50° + 180° - x + 180° - x = 180°

⇒230° - 2x = 0

⇒x = 105°

also read : If (A + B) =(A-B) then the angle between the Ả and B.

brainly.in/question/12391097

(SAT Prep) In the figure, a+b+d+e =

A. 330°

B. 325°

C. 290°

D. 300°

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Step-by-step explanation:

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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

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

Solution:

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

The formula for combinations is:

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

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

Substituting values in above formula, we get

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

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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