Answer:
1. 30°
2.90°
3. 12 units
Step-by-step explanation:
I can't believe there's nothing confirming that this is a parallelogram/a rhombus?! Assuming is awful, and I wish you could say you can't know for sure lol but for the sake of this answer, let's just call it a rhombus. (There was probably some context elsewhere that you didn't put over here, hopefully.)
1.
The reason I say this is: in a rhombus, the diagonals bisect the angles. This means that the diagonals split the angles they meet into two equal parts. That way, it would make sense. m∠QPR=m∠SPR=30°.
2.
If it is a rhombus, the diagonals are perpendicular to each other, so m∠QTP should be 90°.
3.
Diagnonals in a rhombus (and in any parallelogram) bisect each other, so PT=TR=6, and RP=PT+TR=12 units.
Sorry if this is all dreadfully wrong, and I hope I helped you!
Answer:

Step-by-step explanation:
we know that
If the three points are collinear
then

we have
A (1, 2/3), B (x, -4/5), and C (-1/2, 4)
The formula to calculate the slope between two points is equal to

step 1
Find the slope AB
we have

substitute in the formula



step 2
Find the slope AC
we have

substitute in the formula



step 3
Equate the slopes


solve for x





simplify

Answer: G
Step-by-step explanation:
The total bottle sold on monday is so i'm gonna assume that 40 people were in the cafeteria that day. The cafeteria had 80 customers, which is double the amount of customers from yesterday. If we want to make predictions from monday's data, we should double all the values in the table (so basically apple juice is now 22, cranberry is 14, etc.) so it's more fitting to the number of customers on tuesday.
apple - 22
cranberry - 14
orange - 36
pineapple - 8
G is not supported because it says that 6 times more apple juice will be sold than cranberry. So if we look at the [modified} table, cranberry is WAY over half the amount of apple juice. This means that G's statement is not supported by the table
Answer:
budd
Step-by-step explanation:
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