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enyata [817]
3 years ago
6

For what value of x is angle 1 complementary to angle 2, if m angle 1=5x+4 and m angle 2=7x+2?

Mathematics
1 answer:
belka [17]3 years ago
6 0

<span>Two </span>Angles<span> <span>are </span></span>Complementary<span> <span>when they add up to 90 degrees (a Right </span></span>Angle). They don't have to be next to each other, just so long as the total is 90 degrees.

So (5x + 4) + ( 7x + 2) = 90

12x + 6 = 90

12x = 90 – 6

12x = 84

<span>X = 7</span>

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Answer:

3118.7ft

Step-by-step explanation:

Given data

Circumference=  9,799 ft

We want to find the  diameter, but we need to get the radius

C= 2πr

9,799=2*22/7*r

9,799=2*3.142*r

9,799=6.284r

r=9,799/6.284

r= 1559.35

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Diameter=3118.7ft

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The probability of selecting a number not divisible by 3 is: 2/3

Step-by-step explanation:

There are two methods to solve the question.

  1. We can find the probability of numbers not divisible by 3
  2. We can find the probability of numbers divisible by 3 and then find the complement of it

We will use the second method:

Given:

There are 24 slips

S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24}

n(S) = 24

Let A be the event that the slip number is divisible by 3

Then

A = {3,6,9,12,15,18,21,24}

n(A) = 8

The probability of number divisible by 3 is:

P(A) = \frac{n(A)}{n(S)}\\=\frac{8}{24}\\=\frac{1}{3}

The sum of the probability of an event's occurrence and non-occurrence is 1. So the probability of numbers divisible by 3 will be subtracted from 1 to find the probability of selecting a number not divisible by 3.

The probability of selecting a number not divisible by 3 will be:

=1-\frac{1}{3}\\=\frac{3-1}{3}\\=\frac{2}{3}

The probability of selecting a number not divisible by 3 is: 2/3

Keywords: Probability

Learn more about probability at:

  • brainly.com/question/9045597
  • brainly.com/question/9103248

#LearnwithBrainly

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3 years ago
Name a pair of perpendicular lines: <br>is line BC and AJ perpendicular: explain ​
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Line BC and line AJ are NOT perpendicular because when a pair of lines are perpendicular, all angles become 90 degrees. It is obvious, in the case, if you were to slide line BC on top of line AJ, the angles will not equal 90 degrees.
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24 times 2 pencils each student is 48 then you divide by 8 to get the number of packages needed which is 8.
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