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lakkis [162]
3 years ago
9

What is the value of X in the triangle attached?

Mathematics
1 answer:
Juliette [100K]3 years ago
5 0

Answer:

X = 22°

Step-by-step explanation:

Accordng to Exterior Angle Sum Property , measure of an exterior angle is equal to the sum of the 2 interior opposite angles.

So,

(2x) + (103 - x) = 6x - 7

=  > x + 103 = 6x - 7

=  > 6x - x = 103 + 7

=  > 5x = 110

=  > x =  \frac{110}{5}  = 22

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Let n be a positive integer and define [n] to be the set of the first n positive integers. That is, [n] = {1, 2, 3, . . . , n}.
yaroslaw [1]

Answer: There are 2^{n-1} ways of doing this

Hi!

To solve this problem we can think in term of binary numbers. Let's start with an example:

n=5,  A = {1, 2 ,3},  B = {4,5}

We can think of A as 11100, number 1 meaning "this element is in A" and number 0 meaning "this element is not in A"

And we can think of B as 00011.

Thinking like this, the empty set is 00000, and [n] =11111 (this is the case A=empty set, B=[n])

This representation is a 5 digit binary number. There are 2^5 of these numbers. Each one of this is a possible selection of A and B. But there are repetitions: 11100 is the same selection as 00011. So we have to divide by two. The total number of ways of selecting A and B is the 2^{5-1} = 2^4.

This can be easily generalized to n bits.

6 0
3 years ago
9. The points (4, –6) and (9, -6) represent the location of two towns on a
k0ka [10]

Answer:

5 miles apart

Step-by-step explanation:

(4,-6) is 5 units away from (9,-6)

4 0
3 years ago
Kendra bought a pieace of fabric that was 14 feet long .lisa bought a pieace of fabric that was 3 yards long .kendra wanted to c
storchak [24]
3 yards is equivalent to 9 feet, so you do 14 - 9 = 5 feet that she has to cut off.
Hope this helps!
5 0
3 years ago
Which best describes your ability to use graphs to model relationships?
alekssr [168]

Answer:

My answer is C

Step-by-step explanation:

I know how to use a graph kind of but I have trouble of calculating and stuff like that.

3 0
2 years ago
Square tablecloth has a perimeter of 12 feet what is the area of the tablecloth
Marizza181 [45]
To find the area of a square, do base times height.

If it is a square then all the sides are equal. Take 12 and divide it by 4 to find out that each side is 4 feet.

Base-4
Height-4

(4)(4)=16

6 0
3 years ago
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