If m∠2 = 137 and m∠P = 22, what is m∠O?

Answers

Answer 1
Answer:

The measure of angle O is 21 degrees.

What are the properties of Triangle?

The properties of the triangle are:

1. The sum of all the angles of a triangle (of all types) is equal to 180°.

2. The sum of the length of the two sides of a triangle is greater than the length of the third side.

3. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

The sum of the interior angles in a triangle is 180 degrees. Therefore, we can find the measure of angle O by subtracting the measures of angles N and P from 180 degrees:

m∠O = 180° - m∠N - m∠P

We are given that m∠N = 137 degrees and m∠P = 22 degrees, so substituting these values, we get:

m∠O = 180° - 137° - 22°

m∠O = 21°

Therefore, the measure of angle O is 21 degrees.

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Complete question:

in a triangle npo If m∠n = 137 and m∠P = 22, what is m∠O?

Answer 2
Answer: so than this is a triangle so we know that the sum of measure of angles of a triangle is equal 180 degrees 
- in this case m<O = 180 -(137+22) = 180 -159 = 21

m<O = 21 degrees 

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a bookstore sells 617 books on moday ,498 books on tuesday, and 563 books on wednsday. on which two days did the bookstore sell about 600 books

The altitude of an equilateral triangle is 18 inches. Find the length of a side

Answers

Let the length of equilateral triangle be x.

Each of the angle in an equilateral triangle is = 60°

The opposite to the 60° is the 18 inches. Hypotenuse is the side.

Sin 60° = 18 / Hypotenuse

Hypotenuse = 18 / Sin60°.                      Sin60° = √3 / 2

 x = 18 / (√3 / 2)

                      =   18 / √3  *  2/1 =  36 / √3

              x       = 36 / √3

 Rationalize the surd = 36 / √3  * (√3 / √3 ) = 36√3 / 3

                                   x = 12√3 ≈ 12 * 1.732 ≈ 20.784

Length of side, x = 12√3 ≈ 20.784 inches.

What percent of 100 is 30?
a. 30%
b. 333%
c. 3.33%
d. 0.3%

Answers

If you would like to know what percent of 100 is 30, you can calculate this using the following steps:

x% of 100 is 30
x% * 100 = 30
x/100 * 100 = 30
x = 30%

The correct result would be a. 30%.
We set up a proportion: 30/100= ?/100

Because we have the same denominator, the two numerators must be equivalent.

Therefore, ?= 30.

The correct answer is a. 30%

Determine if the number is written in scientific notation. if not explain 5.6 x 10^12 A. no its not written as a power of 10
B.no the first factor is not a number between 1 and 10
C. yes the number is written in scientific notation

Answers

A is the correct answer that is your answer

What percentage of coach passengers did not check bags? Round to the nearest tenth.

Answers

The percentage of coach passengers who did not check their bags will be 43.82 %.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

It is given that the total number of passengers is, 162 of which 71 bags didn't check while 91 bags got checked.

We have to find the percentage of coach passengers who did not check their bags.

It is found by dividing the total number of passenger bags not checked by the total number of passengers.

=71 / 162 × 100

=43.82 %

The percentage of coach passengers who did not check their bags will be 43.82 %.

Hence, the percentage of coachpassengers who did not check their bags will be 43.82 %.

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The two-way table below displays information about passengers on a commercial flight.

Passenger Data

First Class

Coach

Checked Bags

10

81

Did Not Check Bags

14

57

What percentage of coach passengers did not check bags? Round to the nearest tenth.

35.2%

41.3%

70.4%

80.3%

To find the % of something simply turn your % to a decimal, then times it by the number you want for ex. .5 * 78 = 39

When solving for an unknown variable that has a number preceding it, you will divide both sides of the equation by this number, which is known as the ______________.

Answers

Answer: Coefficient

Step-by-step explanation:

When solving for an unknown variable that has a number preceding it, you will divide both sides of the equation by this number, which is known as the coefficient.

A coefficient is a number preceding any variable in a function for example, given the function 4x, the variable is 'x' and the number preceding it is 4. This number preceding the variable is what we call 'coefficient' of the variable 'x'

Casey is deciding which of two landscapers to hire. Each landscaper charges an hourly rate plus a fee for each job.Casey correctly wrote and solved a system of linear equations by substitution. In his work, he substituted an expression for one variable and solved for the other. This resulted in the equation 5 = 20. What can Casey conclude?

One landscaper charges $20 for 5 hours of work.
One landscaper’s hourly rate is $15 lower than the other landscaper’s.
Both landscapers charge the same hourly rate and the same fee per job.
Both landscapers charge the same hourly rate, but not the same fee per job.

Answers

What Casey can  conclude is D. Both landscapers charge the same hourly rate, but not the same fee per job.

What Casey can conclude based on the given scenario

Both landscapers will charge the same hourly rate because we were told they each charges an hourly rate including a fee for each job.

Their  fees per job cannot be the same  because  Casey substituted an expression for one variable while he solved for the other.

Therefore the correct option is D.

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Answer:Both landscapers charge the same hourly rate, but not the same fee per job.

This is, the two equations are parallel and one choice is always  more expensive, in the same amount, than the other, at any number of hours.