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3 years ago

Determine which characteristics are true of vertical angles

Mathematics

2 answers:

liq [111]3 years ago

7 0

Answer:

1, 2 and 4 option - Yes

3 option - No

Step-by-step explanation:

<u>Definition: </u>Vertical angles are the angles opposite each other when two lines cross.

By the definition options

they are formed by intersecting lines,
they are opposite to each other

are true.

Vertical Angles Theorem states that vertical angles are congruent. Thus, option

they are congruent

is true.

Option

they are always supplementary

is false, because supplementary are angles that add up to 180°, but vertical angles can have different measures which do not add up to 180°.

Mars2501 [29]3 years ago

4 0

Answer:

They are formed by intersecting lines.
They are opposite of each other.
They are congruent.

Step-by-step explanation:

When two lines intersect then they form two pairs of angles known as vertical angles. They are opposite to each other and have same measure.

i.e. they are congruent.

Hence, the characteristics that are true for vertical angles :

They are formed by intersecting lines.
They are opposite of each other.
They are congruent.

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Graph the solution set of: 2x - 4 ≤ 8 and x + 5 ≥ 7

Alex17521 [72]

Answer:

x ≤ 6 and x ≥ 2

Step-by-step explanation:

For now, we will start with doing each problem at a time. Here is your equation:

2x - 4 ≤ 8

First, you want to get the variable by itself. So, you add 4 to both sides. It will look like this:

2x - 4 ≤ 8

+ 4 + 4

The four being added on the left side cancels out, and you add 4 to 8. Now, it should look like this:

2x ≤ 12

Next, you want the x by itself. So, you would divide both sides by 2.

2x ≤ 12

/2 /2

2 divided by 2 cancels out, and 12 divided by 2 equals 6. Now, you have a final answer of:

x ≤ 6

But, you now have to do the other one!

Here is what you start off with:

x + 5 ≥ 7

First, you want the variable side by itself. So, you subtract 5 from both sides.

x + 5 ≥ 7

- 5 -5

Now, you have this:

x ≥ 2

Because the variable is already by itself, you don't need to do any more division and this is you final answer. Now put both answers you got together which equals:

x ≤ 6 and x ≥ 2

8 0

3 years ago

Read 2 more answers

Simplify 20+4(3)÷(-8)

Mashcka [7]

The answer to this problem would be 12. If you need to show work just comment.

4 0

2 years ago

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How many models does the following set have? 5,5,5,7,8,12,12,12,150,150,150

Strike441 [17]

<h3>Answer: 3 modes</h3>

The three modes are 5, 12, and 150 since they occur the most times and they tie one another in being the most frequent (each occurring 3 times).

Only the 7 and 8 occur once each, and aren't modes. Everything else is a mode. It's possible to have more than one mode and often we represent this as a set. So we'd say the mode is {5, 12, 150} where the order doesn't matter.

4 0

2 years ago

What values of k will make the line containing points (k,3) and (-2,1) parallel to the line through (5, K) and (1,0)

rjkz [21]

Answer:

k = -4 or 2

Step-by-step explanation:

For the lines to be parallel, the lines would need to be the same slope. This means to find the slope of each we would take the difference of the rise over the run.

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