<h2>
Answer:</h2>
Since both angles are vertical angles, we need to set them equal to each other.

The final answer is <em>x = 10</em>.
Answer:
(4,3)
Step-by-step explanation:
To find the midpoint add the end points and divide by 2
P(2,5) S ( sx, sy) and the midpoint is and H (3,4)
X coordinate
( 2+ sx) /2 = 3
Multiply each side by 2
2+sx = 3*2
2+sx = 6
Subtract 2
sx = 4
Y coordinate
( 5+ sy) /2 = 4
Multiply each side by 2
5+sy = 4*2
5+sy = 8
Subtract 5
sy = 3
The end point is
(4,3)
Simplify the following:
sqrt(378904)
sqrt(378904) = sqrt(8×47363) = sqrt(2^3×47363):
sqrt(2^3 47363)
sqrt(2^3 47363) = sqrt(2^3) sqrt(47363) = 2 sqrt(2) sqrt(47363):
2 sqrt(2) sqrt(47363)
sqrt(2) sqrt(47363) = sqrt(2×47363):
2 sqrt(2×47363)
2×47363 = 94726:
Answer: 2 sqrt(94726)
Answer:
The venue has to host 47 events throughout the year
Step-by-step explanation:
Profit:
Profit is revenue subtracted by costs.
Per event:
$100,000 revenue
$50,000 costs
$100,000 - $50,000 = $50,000 profit.
If the venue wants to make a total profit margin of $2,350,000, how many events does the venue have to host throughout the year?
1 event - $50,000 profit.
x events - $2,350,000 profit.



The venue has to host 47 events throughout the year