Answer:
a. There is a causation relationship and positive trend between number of hours on homework and higher test scores.
b. 76
Step-by-step explanation:
a. Since the dots all follow a linear progression and increase closely together this is a positive trend and likely a causation relationship.
b. y=7x+41 can predict a test score. x is the number of hours, so if 5 if the number of hours then y=7(5)+41 = 35+41=76
The two angles are a linear pair.
(Explanations down below!)
Linear pair angles must add up to 180 degrees. You can tell that the two angles add up to 180 degrees because they form a straight line (which is 180 degrees).
Complementary angles add up to 90 degrees. The two angles are not complementary because they do not form a 90 degree angle (right triangle, square in corner, like a L shape).
Vertical angles are opposite each other and are equal to one another. These angles are adjacent to each other and do not look similar.
I believe the answer is -33
Given:
M=(x1, y1)=(-2,-1),
N=(x2, y2)=(3,1),
M'=(x3, y3)= (0,2),
N'=(x4, y4)=(5, 4).
We can prove MN and M'N' have the same length by proving that the points form the vertices of a parallelogram.
For a parallelogram, opposite sides are equal
If we prove that the quadrilateral MNN'M' forms a parallellogram, then MN and M'N' will be the oppposite sides. So, we can prove that MN=M'N'.
To prove MNN'M' is a parallelogram, we have to first prove that two pairs of opposite sides are parallel,
Slope of MN= Slope of M'N'.
Slope of MM'=NN'.
Hence, slope of MN=Slope of M'N' and therefore, MN parallel to M'N'
Hence, slope of MM'=Slope of NN' nd therefore, MM' parallel to NN'.
Since both pairs of opposite sides of MNN'M' are parallel, MM'N'N is a parallelogram.
Since the opposite sides are of equal length in a parallelogram, it is proved that segments MN and M'N' have the same length.
Step-by-step explanation:
given:
$12.50- the price of the tshirts
40- the tshirts they have sold
$850- the raise they need
solve:
$12.50 × 40 = $500 (the price of tshirts and tshirts they have sold)
$850 - $500 = $350 (the raise they need and the money they have so far from the 40 tshirts they have sold)
$350 ÷ $12.50 = 28 (the money they lack and the price of a tshirt)
answer:
thus, they need to sell 28 more tshirts to have the raise of at least $850
hope this helps, good luck! :)
