Answer:
x = 30°
y = 115°
Step-by-step explanation:
Given = AB ║ DC
∠A = 2x + 10
∠B = 65
∠C = y
∠D = 3x + 20
( AD is the transversal on the parallel lines AB and DC)
∴ ∠A + ∠D = 180 and ∠B + ∠C = 180
(1) ∠A + ∠D = 180
2x + 10 + 3x + 20 = 180
5x + 30 = 180
5x = 180 - 30 = 150
x = 150÷5
x = 30°
(2) ∠B + ∠C = 180
65 + y = 180
y = 180 - 65 = 115
y = 115°
The correct answer was 8 / 17
Because
AB^2 + 60^2 = 68^2
AB^2 = 4624 - 3600 = 1024
AB = 32
Sin S = Opp/Hyp = 32/68 = 8 / 17
(Picture)
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(Pythagorean Theorem Calculator)
https://ncalculators.com/number-conversion/pythagoras-theor
Answer:
Step-by-step explanation:
Let x represent the number of lawns mowed and y represent the number of cars washed.
1. Since the number of cars that Beth wash is no more than four times the number of lawns Mike has scheduled to mow, you have that .
2. Beth will wash at least 50 cars, then
3. Mike charges $25 each time he mows a yard, then he earns $25x for mowing x yards. Beth charges $15 for each car she washes, then she earns $15y for y cars washed. They need at least $1975, so
4. A set of constraints to model the problem is
Answer:
fx
Step-by-step explanation:
Answer: Ray will make 17 and 1/2 cups of sauce.
Step-by-step explanation: I figured this out because if it makes 3 1/2 cups normally then you just multiply it by 5. 3 x 5 is 15, and 1/2 x 5 = 2 1/2. Lastly 15 + 2 1/2 = 17 1/2.
Hope this helps.