Answer:
Mario worked <em>from</em>
<em><u>8</u></em><em><u>:</u></em><em><u>2</u></em><em><u>5</u></em><em><u> </u></em><em><u>to </u></em><em><u>1</u></em><em><u>2</u></em><em><u>:</u></em><em><u>4</u></em><em><u>5</u></em><em><u> </u></em><em><u>yesterday</u></em>
<em><u>1</u></em><em><u>1</u></em><em><u>:</u></em><em><u>2</u></em><em><u>0</u></em><em><u> </u></em><em><u>to </u></em><em><u>3</u></em><em><u>:</u></em><em><u>1</u></em><em><u>0</u></em><em><u> </u></em><em><u>today</u></em>
<em><u>To </u></em><em><u>find </u></em><em><u>the </u></em><em><u>total </u></em><em><u>time</u></em><em><u> </u></em><em><u>of </u></em><em><u> </u></em><em><u>work </u></em>
<em><u> </u></em><em><u> </u></em><em><u>1</u></em><em><u>2</u></em><em><u>:</u></em><em><u>4</u></em><em><u>5</u></em>
<em><u>-</u></em><em><u>8</u></em><em><u>:</u></em><em><u>2</u></em><em><u>5</u></em>
<em><u>_</u></em><em><u>_</u></em><em><u>_</u></em><em><u>_</u></em><em><u>_</u></em><em><u> </u></em>
<em><u>4</u></em><em><u>:</u></em><em><u>2</u></em><em><u>0</u></em>
<em><u>again </u></em>
<em><u> </u></em><em><u> </u></em><em><u>1</u></em><em><u>1</u></em><em><u>:</u></em><em><u>2</u></em><em><u>0</u></em>
<em><u>-</u></em><em><u>3</u></em><em><u>:</u></em><em><u>1</u></em><em><u>0</u></em>
<em><u>_</u></em><em><u>_</u></em><em><u>_</u></em><em><u>_</u></em><em><u>_</u></em><em><u>_</u></em>
<em><u>8</u></em><em><u>:</u></em><em><u>1</u></em><em><u>0</u></em>
<em><u>Therefore</u></em><em><u> </u></em>
<em><u>4</u></em><em><u>:</u></em><em><u>2</u></em><em><u>0</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>8</u></em><em><u>:</u></em><em><u>2</u></em><em><u>0</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>1</u></em><em><u>2</u></em><em><u> </u></em><em><u>hours </u></em><em><u>3</u></em><em><u>0</u></em><em><u> </u></em><em><u>min</u></em>
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.
First, to make the equation easier to read, you want to add the x’s together. you should then get 2.6x-3.8=-9. then, you want to add the 3.8 to both sides, to make the x stand alone. you should end up with 2.6x=-5.2. to find x, you then want to divide both sides by 2.6. your final answer after dividing should be x=-2
Answer:
A) A dilation followed by a reflection.
Step-by-step explanation:
I went over this in class the other day. (:
Answer:
Option Y is correct.
Step-by-step explanation:
We are given the table representing the relation between new students and returning students for difference classes.
It is required to form the relative frequency table for the given situation.
So, relative frequency table is obtained by dividing the valued by the total number of values in the data set.
<em>Thus, we will get the relative frequency table by dividing the given table values by 500.</em>
Hence, we will get the following table,
New Students Returning Students Total
10th 0.01 0.34 0.35
11th 0.006 0.324 0.33
12th 0.004 0.316 0.32
Total 0.02 0.98 1
Thus, option Y is correct.
