Answer:
x = 17.5 and y = 35
Step-by-step explanation:
2x + 10 = y + 10 ( alternate angles )
subtract 10 from both sides
2x = y ⇒ 6x = 3y → (1)
the sum of the 3 angles in the triangle = 180°
6x + y + 10 + 30 = 180 ( replace 6x by 3y )
3y + y + 40 = 180
4y + 40 = 180 ( subtract 40 from both sides )
4y = 140 ( divide both sides by 4 )
y = 35
substitute y = 35 into (1)
2x = 35 ( divide both sides by 2 )
x = 17.5
Answer:
r = 8 ft
Step-by-step explanation:
The formula for circumference of a circle is
C = 2 * pi *r
We know the circumference is 16 pi
16 pi = 2 pi r
Divide each side by 2pi
16 pi /2 pi = 2 pi r / (2pi)
8 = r
Answer:
<em>56 ounces </em>= <em>7 cups.</em>
Step-by-step explanation:
Answer:
$90,200
Step-by-step explanation:
Airlines usually try to sell their all seats before they fly the airplane. They do wish to sell maximum available seats in order to maximize their revenue. If the airplane takes off with less occupancy then there is opportunity cost for the airline companies. There are 200 seats available to the current flight and they wishes to sell it completely. If they sell all the 200 seats at the price of $451 per seat then their total revenue will be $90,200.
Remove the radical by raising each side to the index of the radical.
x > 29/4
