Answer:
+) m∠1 = m∠2 (vertical angles theorem)
+) m∠2 and ∠3 are supplementary (because a//b)
+)m∠3 = m∠4 (alternate interior angles theorem, c//d)
=> ∠1 and ∠4 are supplementary (substitution property of equality)
Step-by-step explanation:
Answer:
96 Servings
Step-by-step explanation:
Divide the total 72 cups by the serving, 0.75 cup, which equals 96 servings
Answer:
40
Step-by-step explanation: If 10 : 15, then 4 times both of those should be an hour. This would be 40 : 60. That is why 40 is the correct answer.
Answer:
The change in the area of the rectangle is 0 square feet
Step-by-step explanation:
To solve this problem we have to calculate the area of the two rectangles that give us
first we have to know the formula to calculate the area of a rectangle
a = area
l = length = 12ft
w = width = 5ft
a = l * w
we replace the known walues
a = 12ft * 5ft
a = 60ft²
we do the same with the other rectangle, but first we have to calculate its sides
w = 5ft - (5ft * 20/100)
w = 5ft - 1ft
w = 4ft
l = 12ft + (12ft * 25/100)
l = 12ft + 3ft
l = 15ft
a2 = 15ft * 4ft
a2 = 60ft²
to calculate the change in the area we subtract (a - a2)
a - a2 =
60ft² - 60ft² = 0ft²
Answer:
a. Find the measure of each central angle.
The central angle of a circle = 360 °
Now Pie is cut into 10 equal sectors
Angle of each sector is given by
Angle of sector = Total central angle/number of sectors
Hence , the central angle of one slice of pie is 36°
b. If the diameter is 50 in., find the length of an arc of one of the sectors.
length of an arc of one of the sectors =
