Answer: (1) 12 (2) 36 or 22 (3) 40
<u>Step-by-step explanation:</u>
NOTES about diagonals of a rectangle:
- diagonals are congruent (equal lengths)
- diagonals intersect at the midpoint
(1) Given: MR = 4x - 60 and AK = 30 - x
Per rule 1 → MR = AK
4x - 60 = 30 - x
5x - 60 = 30
5x = 90
x = 18
MR = 4(18) - 60
= 72 - 60
= 12
(2) Given: MP = x² + 2 and AP = x + 14
Per rule 1 → MP = AP
x² + 2 = x + 14
x² - x - 12 = 0
(x - 4)(x + 3) = 0
x - 4 = 0 or x + 3 = 0
x = 4 or x = -3
AP(4) = (4) + 14 = 18
AP(-3) = (-3) + 14 = 11
Per rule 2 → AK = 2AP
AK(4) = 2(18) = 36
AK(-3) = 2(11) = 22
(3) Given: MR = 4x - 60 and MP = x + 5
Per rule 2 → MR = 2MP
4x - 60 = 2(x + 5)
4x - 60 = 2x + 10
2x - 60 = 10
2x = 70
x = 35
MP = (35) + 5
= 40
Per rule 1 → PR = MP
PR = 40
Answer:
there are 5 strawberries
Step-by-step explanation:
4 x 5 =20 so that is 20 blue berries
and there are 4 blue berries for every one strawberry
and there are 5 groups of 4 blue berries which equals 5 strawberries
Answer:
C. 8
Step-by-step explanation:
The average rate of change is the slope of the line between the two points of interest. It is given by the formula ...
m = (y2 -y1)/(x2 -x1)
For points (1, 2) and (3, 18), the average rate of change is ...
m = (18 -2)/(3 -1) = 16/2 = 8
The average rate of change between x=1 and x=3 is 8.