Step-by-step explanation:
Since Angle DAE = Angle BCE, lines AD amd BC are parallel (by Z-angles).
This means that Angle ADE = Angle CBE (by Z-angles).
We have 2 congruent angles and 1 congruent side (AD = BC, given).
By ASA congruence, triangles AED and CEB are congruent.
I think the answer is the first option
Answer: 80 cents per organic peach
Step-by-step explanation: To find out how much Patrick paid for 5 organic peaches, we want to find the unit price for 1 peach.
Unit price means the cost per unit. In this case, the cost per peach. Since we know that it costs $4.00 for 5 peaches, to find the cost for 1 peach, we need to divide 5 into $4.00 or 5 into 4.00.
Now using long division, 5 divides into 40 eight times so we put an 8 above the second 0 and 8 x 5 is 40 and 40 - 40 is 0.
So 5 divides into 4.00 0.8 times which means that each peach costs 80 cents.
So the unit price is 80 cents per organic peach.
Answer:
1. slope: (y2-y1)/(x2-x1)
(6,38), (9,32)
(32-38)/(9-6) = -6/3 = -2
38 = -2(6) + b
38 = -12 +b, b = 50
y = -2x + 50
2a. Slope = -80, the slope means how many cars left per hour after closing. Y- intercept = 600, cars in lot during closing.
2b. use the equation: y = -80x + 600
Plug in 3 into the equation
y = -80(3) + 600, y = -240 + 600, y = 360 cars
2c. For it to have 0 cars, plug in 0 for y
0 = -80x + 600
-600 = -80x, solve for x
x = 7.5 hours

The sign at the end changes because both sides of the equation are being divided by a negative number.