Answer:
First picture: 1st choice, -7
Second Picture: Second Choice, f(5)=9
Third Picture: Second Choice, the volume of the basketball when the radius is <em>r</em>
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When a triangle is rotated, it must be rotated through a center of rotation.
Assume the coordinate of LMN is
The rule of 180-degree rotation is:
So, we have:
See attachment for the graphs of LMN and L'M'N
<u>(a) Describe the transformation</u>
When triangle LMN is rotated 180 degrees across the origin, the x and y coordinates of LMN are negated to form triangle L'M'N'
<u>(b) Lines LL' and MM'</u>
The distance between point L and the center of origin is the same as the distance between point M' and the center of origin
Similarly, the distance between point L and the center of origin is the same as the distance between point M' and the center of origin
<u>(c) Line NN'</u>
Line NN' will assume the same characteristics as lines LL' and MM'
Read more about transformations at:
brainly.com/question/11707700
Profit = paid - supplies
Plug in the given values. We are finding out how much money he needs per room, if he is doing 4 rooms, and subtracting the supplies: 300 = 4n - 4*32.50
Simplify: 300 = 4n - 130
Add 130 to each side. 430 = 4n
Divide by 4 on each side: 107.50= n
300 = 4(107.50) - 130? True
This tells us he must be paid $107.50 to make $300 exactly. Anything larger than $107.51 and up will make more than $300.
<span>Vertical angles must be C and D
A.be complementary. They are not always complementary, to be complementary means having a sum of 90 deg
B.be acute. - Vertical angles can be NOT acute depending on how they are positioned and intersected with the lines.
Answer
C.have the same vertex.
D.be congruent.</span>