Answer:
P = $7.00
Step-by-step explanation:
Movie tickets = $8.50
Drink = $4.75
Two friends also bought popcorn
Total spent by the group = $53.75
Given equation:
3(8.50 + 4.75) + 2p = 53.75
Where,
P = cost of one order of popcorn
3(8.50 + 4.75) + 2p = 53.75
25.50 + 14.25 + 2p = 53.75
39.75 + 2p = 53.75
2p = 53.75 - 39.75
2p = 14
p = 14 / 2
p = 7
p = $7.00
Answer:
m∠1=80°
m∠2=112°
m∠3=131°
m∠4=80°
m∠5=37°
Step-by-step explanation:
First you have to find m∠2
To do that find m∠6 (I created this angle shown in pic below)
Find m∠6 by using the sum of all ∠'s in a Δ theorem
m∠6=180°-(63°+49°)
m∠6=68°
Now you can find m∠2 with the supplementary ∠'s theorem
m∠2=180°-68°
m∠2=112°
Then you find m∠5 using the sum of all ∠'s in a Δ theorem
m∠5=180°-(112°+31°)
m∠5=37°
Now you can find m∠1
m∠1=180°-(63°+37°)
m∠1=180°-100°=80°
m∠4 can easily be found too now:
m∠4=180°-(63°+37°)
m∠4=80°
m∠3=180°-49°
m∠3=131°
Calculating the other leg:
other leg^2 = 13^2 - 5^2
other leg^2 = 169 -25
other leg^2 = 144
other leg = 12
Area = .5 * 12 *5
Area = 30 sq feet
answer is A
