Answer:
Please check the explanation.
Step-by-step explanation:
We know the equation
y = kx
k = y/x
where k is the proportionality constant
so,
First ratio can be calculated as
Miles = 45
Hours = 3/4
The ratio = 45 / (3/4)
= (45 × 4) / 3
= 180/3
= 60
Thus, the proportionality constant = 60
Thus, the remaining ratios can be calculated as:
The Pair (135, Hours)
135/Hours = 60
Hours = 135 / 60
= 27/12
= 9/4
= 2.25
Thus, the pair is (135, 2.25)
The Pair (Miles, 3)
Miles/3 = 60
Miles = 60×3
= 180
The Pair (90, Hours)
90/Hours = 60
Hours = 90 / 60
= 3/2
= 1.5
Thus, the complete table:
Miles 45 135 180 90
Hours 3/4 9/4 3 3/2
Verification:
Miles / Hour = 45/(3/4) = 60
Miles / Hour = 135 / 2.25 = 60
Miles / Hour = 180 / 3 = 60
Miles / Hour = 90 / 1.5 = 60
The little lines through the two sides mean they are the same length.
When the two sides are the same length the 2 corresponding angles are also the same, so Angle A and Angle B are both 34 degrees.
The three inside angles of a triangle equal 180, so angle C = 180 - 68 = 112
Angle C is given as 4y, so 4y = 112
Divide both sides by 4:
y = 112 / 4
y = 28
E = 65° ( co-interior angle)
Angle F = 180-75 = 105°
-4 , -8 because -4 is on the x axis and -8 is on the y axis
