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2 years ago

Which of the following pairs of angles are supplementary? Select all that apply.

Mathematics

1 answer:

4vir4ik [10]2 years ago

4 0

Supplementary angles mean they equal 180 degrees which means any two angles that equal a line. so that would be:
<1 and <3
<1 and <4
<2 and <3
and <2 and <4

as all of these angles (in their respective pairs) create a single line which is equivalent to 180 degrees

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A plumber charges $70 per hour plus $40 for the call what does he charge for 4 hours of work

docker41 [41]

First do $70(4). That would equal $280. Then do $280+$40=$320

6 0

3 years ago

Write an equivalent expression of -2(1.5h+5)-4(-0.5+3h) without parenthesis

ryzh [129]

The equivalent expression to given expression is: -15h-8

Step-by-step explanation:

We can simplify the given expression to find an equivalent expression.

Given expression is:

$-2(1.5h+5)-4(-0.5+3h)$

So by using distributive property

$=-3h-10+2-12h\\=-15h-8$

Hence,

The equivalent expression to given expression is: -15h-8

Keywords: Equivalent expressions, Polynomials

Learn more about polynomials at:

#LearnwithBrainly

8 0

2 years ago

Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from B, a distance o

g100num [7]

Answer:

The value is $k =109.6 \ miles$

Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

From the question we are told that

The distance from city A to B is AB = 467.3 miles

The bearing from B to C is $\theta_{BC} = N 28.7E$

The bearing from B to A is $\theta_{BA} = N 60.7E$

The bearing from A to B is $\theta_{AB} = S60.7W$

The bearing from A to C is $\theta_{AC} = S79.1W$

Generally from the diagram

$\theta_A = 180 - 60.7 -79.1$

=> $\theta_A = 40.2 ^o$

Also

$\theta_B = 32^o$

and

$\theta_C = 180 - (\theta_A +\theta_B )$

=> $\theta_C = 180 - (40.2 + 32 )$

=> $\theta_C = 107.8 ^o$

Generally according to Sine Rule

$\frac{BC}{sin (\theta_A)} = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}$

=> $\frac{BC}{sin (40.2)} = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}$

$\frac{BC}{sin (40.2)} = \frac{467.3 }{sin (107.8)}$

=> $BC = 316.8 \ miles$

Also

$\frac{CA}{sin (32)} = \frac{467.3 }{sin (107.8)}$

$CA = 260 .1 \ miles$

Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct flight is mathematically represented as

$k = [CA +BC] - AB$

=> $k = [260 .1 +316.8]- 467.3$

=> $k =109.6 \ miles$

4 0

2 years ago

sam thought of a number between ten and twenty then sam gave a clue when you count by twos and when you count by threes but not

tatuchka [14]

Sorry I do not know the answer to that

8 0

2 years ago

Doug is going to ride his bicycle 3{,}0003,0003, comma, 000 miles across the United States, from coast to coast. He wants to cho

Anuta_ua [19.1K]

The chances of success in cycling across the United States is higher on the central route because more than half of the people who started on this route finished it (52%), while on the other routes the chances of successful completion is lower (route north (0%) south (0.02%).

<h3>What is probability? </h3>

Probability is a way of measuring the certainty that an event will occur represented by a numerical value from 0 to 1, where an impossible event corresponds to zero and a certain event corresponds to one.

According to the above, to find the probability of success in crossing the United States from coast to coast, we must divide the number of successful attempts by the total number of attempts as shown below:

North Route

0 ÷ 2 = 0

Center Route

10 ÷ 19 = 0.52

South Route

1 ÷ 39 = 0.025

According to the above, the highest probability of success is found in the central route with 0.52, that is to say that more than half of those who tried this route finished.

Note: This question is incomplete because there is missing information. Here is the complete information:

Doug is going to ride his bicycle 3,000 miles across the United States, from coast to coast. He wants to choose the route that will give him the greatest chance of success. Here's what he finds in his research on him:

There have been 2 attempts on the northern route from Maine to Washington. Both of those riders made it 2,000 miles and quit in Montana.

There have been 19 attempts on the central route from Vir-ginia to California; 9 of those riders didn't do it and the other 10 made it all the way to the Pacific.

There have been 32 attempts on the southern route from Florida to San Diego. One of those riders made it the whole way. Another realized he was out of shape, and quit before he even started. The other 30 riders quit somewhere in Texas. They were evenly distributed between 1,300 and 1,700 miles.

Learn more about probabilities in: brainly.com/question/8069952

5 0

2 years ago