Answer:
The expressions for the payment made to Mary are,
(Monday) 90 = 15m + b
(Tuesday) 62 = 8m + b
where m and b are the fee per student and the base fee, respectively. Solving for m and b, the values are 4 and 30.
The equation that represents Mary's earning is
y = 4x + 30
For 20 students,
y = 4(20) + 30 = 110
For Lisa's earnings,
y = 8x + 15
Substituting 20,
y =8(20) + 15 = 175
Thus, Lisa would earn more than Mary by $65.
(Btw this is not my work, I got it from someone else on brainly and wanted to help lol)
10.
Answer: 42° and 138°
Steps: First find value of x by adding both equations and setting them equal to 180°:
3x + 12x - 30 = 180
15x - 30 = 180
15x = 210
x = 14
Next, put value of x into equations to find the angle:
3x
3(14)
42°
12x - 30
12(14) - 30
168 - 30
138°
11. Answer: 28°
Steps: Complementary angles add up to 90°, so subtract 62° from 90° to find its complementary angle.
90 - 62 = 28
12. Answer: Corresponding angles are congruent.
Triangles are congruent if they have the same (Shape and Size).
Answer:
<h3>A reflection across the line x=3, a reflection across the x-axis and a dilation with a scale factor of 2, because each side is double.</h3><h3>
Step-by-step explanation:</h3>
We know that the first transfomration is a rotation 90° clockwise.
Notice that vertex R is at the same horizontal coordinate than vertex C, which means the second transformation must include a reflection across the line x=3, a reflection across the x-axis and a dilation with a scale factor of 2, because each side is double.
The mode is the value from a given set of data that occurs most often. It is the data with the highest frequency.
Given:
16,12,10,15,7,9,16
Form the above data given;
Rearranging for easy identification, we have;
7,9,10,12,15,16,16
From the above, we can deduce that the mode is 16 because it appears the most often. It appears twice.
Therefore, the mode is 16.
