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mote1985 [20]
3 years ago
10

Consider the intersecting lines shown. Which of the following statements is true?

Mathematics
1 answer:
elixir [45]3 years ago
3 0

Answer:

C. m∠x + m∠y = 180

Step-by-step explanation:

The two straight line in the diagram intersect each other to form two pairs of vertical angles. These are <x and <z, and <y and w.

The only statement from the given options that is true is m∠x + m∠y = 180.

This is because they are angles in a straight line. The sun of angles in a straight line is 180°.

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Which of the following is parallel to the line 2x+4y=16
k0ka [10]

Answer:

Option C: y=-1/2x + 8

Step-by-step explanation:

So we have the options:

A) y=2x+5

B) y=-1/2x+4

C)y=-1/2x+8

D)y=-2x+5

But first let's define what parallel even is. When two lines are parallel it means that there slope is the same value and the same sign, while there y-intercepts are different, because if they were the same, then they wouldn't be parallel, they would just be the same exact line.

So we're given the equation in standard form. To find the slope we can change it so it's in the form of y=mx+b. This can be done by simply isolating y. The reason we want it in the slope-intercept form is because m represents the slope and b represents the y-intercept. m is the slope because as x increases by 1 the y-value will increase by m. So the "rise" will be m and the "run" will be 1, thus the slope will be m/1 or in other words m because the slope is defined as rise/run. So let's start the steps to isolating y

Original equation

2x+4y=16

Subtract 2x from both sides

4y=-2x+16

Divide both sides by 4

y = -1/2x + 4

Here we have it in slope-intercept form. In this case the slope, or m, is -1/2 and the y-intercept or b is 4. So now let's look at the other equations.

Option A: This equation has a slope of 2, which is not the same as -1/2 so it is not parallel

Option B: This equation has a slope of -1/2 which is the same as -1/2 so it might be parallel. But look at the y-intercept it's 4, that's the same y-intercept as the original equation. This means the two equations are equal and not parallel

Option C: This equation has a slope of -1/2 which is the same as -1/2 so it might be parallel. It has a y-intercept of 8 which is not the same as 4, so the two lines are parallel and not equal! This is the answer

6 0
2 years ago
Your favorite restaurant has a promotion where you can win free food. You will roll 2 dice. The sum of the 2 dice will determine
nekit [7.7K]

Answer:

0.25

Step-by-step explanation:

edge '22

6 0
2 years ago
20. What is the perimeter of a square that has a side length of 4x - 5y? (Show Work)
sammy [17]
Answer= 16x -20y

Perimeter of a square= 4( Side length)
Therefore, 4(4x -5y)
= 16x -20y
I think that is it cuz e can’t solve it any further
8 0
3 years ago
3(x+5) - 3 = 2(3x + 1) - 3 <br> how many solutions does this equation have?
sleet_krkn [62]

Answer:

Step-by-step explanation:

1 solution: x=13/3

6 0
3 years ago
What times what give you 33
Tcecarenko [31]

Answer:

11x3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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