In the following diagram, points C, A, and B are collinear. Use complete sentences to describe the sum of and .

Answers

Answer 1

Answer:

The sum is CB.

Step-by-step explanation:

This is because of points C, A, and B are all collinear, which means that they all fall on the same line. Since the points are collinear, the sum of CA and AB is the whole line, which is CB. I really hope this helps :)

Answer 2

Answer: The sum of angles CAD and DAB is 180 degrees. This is because they are all on a straight line (because points CAB are colinear) and angles on a straight line add up to 180 degrees.

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1344 is 240% of what number

Answers

The number is 560.

What is the percentage?

The percentage is a ratio that can be expressed as a fraction of 100.

Let the required number be x.

Then, it follows that 1344 is 240% of x:

1344 = 240% of x

1344 = 240x/100

1344 = 12x/5

x = 1344×5/12

x = 560

Hence, the number is 560.

Learn more on percentages here:

brainly.com/question/14979505

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240% out of 1344=3225.6

Two planes leave an airport at noon. If the eastbound plane flies at 560 mph and the westbound plane flies at 500 mph, at what time will they be 2,000 miles apart? Round your answer to the nearest minute.

Answers

The two planes are flying in opposite directions.One plane travels at 560miles per hour and the other travels at a speed of 500 miles per hour. As time proceeds, they would travel further from each other and that can be described by the equation that follows:

560(t)+500(t) =2000, since we are given a 2000 distance limit. Then we are to find the time when they are at this distance. Solve for t, which is equal to 0.53 hours or 32 minutes.

What is the measure of each exterior angle of a decagon?

Answers

The sum of all of the exterior angles of any regular polygon is 360 (I'm assuming by decagon you mean a regular dodecagon).

Because the total has to be 360, and a decagon has 10 sides, you divide 360 by 10 to get each exterior angle.

360 ÷ 10 = 36, so each exterior angle of a decagon is 36 degrees.

In the diagram, ΔGEF and ΔHEF are congruent. What is the value of x?. . 60. . 41. . 28. . 30

Answers

I added a screenshot with the diagram

Answer:

x = 28

Explanation:

When two triangles are congruent, corresponding sides as well as corresponding angles are equal

We are given that:

ΔGEF and ΔHEF are congruent

This means that:

angle G = angle H

angle GEF = angle HEF

angle EFG = angle EFH

GE = HE

GF = HF

EF = EF

We are given that:

angle GFE =60° and angle HFE = 2(x+2)

Since the two angles are equal, we can get x as follows:

2(x+2) = 60

x + 2 = 30

x = 30 - 2

x = 28

Hope this helps :)

If Δ GEF and Δ HEF are congruent than:
2 ( x + 2 ) = 60 / : ( -2 ) we will divide both sides of the equation by -2.
x + 2 = 30
x = 30 - 2
x = 28
Answer : C ) 28°

Solve this inequality: 9h + 2 < –79.