“Line graphs are useful in that they show data variables and trends very clearly and can help to make predictions about the results of data not yet recorded. They can also be used to display several dependent variables against one independent variable.”
“With a line graph, it is fairly easy to make predictions because line graphs show changes over a period of time. You can look at past performance in a line graph and make a prediction about future performance.”
Answer:
y + 2x = 10 (third option)
Step-by-step explanation:
We can see that every time x increases by one, y increases by -2, meaning that the slope is -2.
We also know that the y-intercept is 10 because that is the value of y when x is equal to 0.
Now, we can create the equation using the slope-intercept form (y = mx + b, where m is the slope and b is the y-intercept).
y = -2x + 10
If you look at the third option, that equation is just a rearranged form of our equation (y + 2x = 10).
This means that the third option is correct.
Answer:
625
Step-by-step explanation:
Answer:
Step-by-step explanation:
<h3><u>Given that:</u></h3>
Exterior angle of L = 5x + 12
M = 3x - 2
N = 50
<h3><u>Statement:</u></h3>
- Exterior angle is equal to the sum of non-adjacent interior angles.
So, the exterior angle that is adjacent to L is equal to the sum of non-adjacent sides (M and N) of the triangle.
Here,
Exterior angle of L = M + N
5x + 12 = 3x - 2 + 50
5x + 12 = 3x + 48
Subtract 12 to both sides
5x = 3x + 48 - 12
5x - 3x = 36
2x = 36
Divide 2 to both sides
x = 18
So,
<h3><u>Measure of angle M:</u></h3>
= 3x - 2
= 3 (18) - 2
= 54 - 2
= 52°
Now,
<h3><u>Measure of angle L:</u></h3>
<u>We know that,</u>
- Sum of all the interior angles of triangle is 180 degrees.
L + M + N = 180°
L + 52 + 50 = 180
L + 102 = 180
Subtract 102 to both sides
L = 180 - 102
L = 78°
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Answer: y=x estimate: 88
Step-by-step explanation:
