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luda_lava [24]
3 years ago
5

Parallel lines and tranvsveral

Mathematics
1 answer:
Valentin [98]3 years ago
5 0

Answer:

66°

Step-by-step explanation:

simply subtract 114 from 180

you'll come out with the answer of 66°.

You might be interested in
Round each decimal to the given place value 1.25 - rounded
Mkey [24]

Answer:

see below

Step-by-step explanation:

1.25 rounded to the nearest tenth : 1.3

2.784 rounded to the nearest hundredth : 2.78

4 0
3 years ago
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
4 years ago
you deposit $1050 into an account that pays 7.25% interest per year. find the amount after six year given the following: a) comp
nalin [4]

Answer:

semiannually = $1609.77

monthly = $1128.71

Step-by-step explanation:

7 0
3 years ago
Amanda leaned a 15-foot ladder against the top of her house so she could get on the roof, which is 12 feet from the ground.
valentinak56 [21]

If you're trying to find the missing side of the "triangle" (the distance from the house to where the ladder touches the ground), you would use the pythagorean theorem, a²+b²=c². (c is always hypotenuse)

a²+b²=c²

12²+b²=15²

144+b²=225

b²=81

√b²=√81

b=9


8 0
3 years ago
Four tickets cost $62. Each ticket costs
xz_007 [3.2K]

Answer:

C

Step-by-step explanation:

Divide 62 by 4

4 0
4 years ago
Read 2 more answers
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