14.
Angles 4 and 6 are supplementary, because they are on the same line. Supplementary angles add up to 180 degrees, and a line must be 180 degrees.
15.
Angles 1 and 8 are congruent, because they are alternate exterior angles
16.
m = y2 - y1 / x2 - x1
m = 7 - 2 / 4 - 5
m = 5 / -1
m = -5
17.
m = 3 - 3 / 7 - (-5)
m = 0 / 12
m = 0
18.
m = 1 - (-2) / 5 - (-4)
m = 3 / 9
m = 1/3
19.
A = (0, 3) - B = (3,0)
m = 0 - 3 / 3 - 0
m = -3 / 3
<em>m = -1</em>
C = (0, -2) - D = (4, 2)
m = 2 - (-2) / 4 - 0
m = 4 / 4
<em>m = 1</em>
Perpendicular, because the slopes are opposite reciprocals.
20.
E = (1, 2) - F = (0, 0)
m = 0 - 2 / 0 - 1
m = -2 / -1
<em>m = 2</em>
G = (1, -3) - H = (3, 0)
m = 0 - (-3) / 3 - 1
<em>m = 3 / 2</em>
Neither, because the slopes are different.
21.
I = (0, 1) - J = (2, -4)
m = -4 - 1 / 2 - 0
<em>m = -5/2</em>
K = (-1, -2) - L = (4, 0)
m = 0 - (-2) / 4 - (-1)
<em>m = 2/5</em>
Perpendicular, because the slopes are opposite reciprocals.
22.
M = (-2, 2) - N = (2, 2)
Horizontal line
<em>m = 0</em>
O = (3, 0) - P = (-3, 0)
Horizontal line
<em>m = 0
</em>Parallel, because the slopes are the same.
<em>
</em>23.
Angle 2 is congruent to angle 1 because of the alternate exterior angle theorem.
Angle 1 is congruent to angle 3 because of the vertical angle theorem.
Angle 2 is congruent to angle 3 because of substitution.
Line l is parallel to line m because the corresponding angles are congruent.
Answer:
<h2><u>
10</u></h2><h2><u>
4</u></h2>
Step-by-step explanation:
To determine how much a decimal was multiplied, you need to find how many places the decimal moved.
In this case we can see the decimal moved once. How many times the decimal moved can be represented by the zeros in the number. So 10 = 1
100 = 2 1,000 = 3 and it keeps going.
So since the decimal moved 1 time, the answer to question one is 10
Now question 2.
Both 8.4 ÷ 2.1 and 84 ÷ 21 will give the exact same answer. It is just easier to solve. So solve which one is easier for you. I did 84 ÷ 21.
84 ÷ 21 = 4
We can verify our answer by multiplying the the divisor by the quotient
21 * 4 = 84
So 4 is the answer to question 2
Answer:
It should be y=4x-7
Step-by-step explanation:
M is the slope meaning Δx over Δy or rise over run
So if you look at (2,2) and count up to (3,6) the rise is 4 and the run is 1 meaning the slope is 4.
B is the y- intercept so then it would just be -7.
Answer:
The answer is 41
Step-by-step explanation:
(35 + 7) (6 - 5)
(42) × (1) = 41
Thus, The answer is 41
<u>-TheUnknownScientist</u>
Answer:
11
Step-by-step explanation:
| | takes the absolute value of a number so it wouldn't be negative