Answer:
$51.70 is the original price
Step-by-step explanation:
Step 1:
Turn 40% into a decimal which makes it 0.40
ex. 50% would be 0.50, 5% would be 0.05 etc.
Step 2:
Put the numbers into this formula: Original Price (x) - Percent Off times Original Price = Sales Price
x - 0.40x = 31.02 this is basically 1x - 0.40x = 31.02 so,
Solving the left side of our equation gives us 1x - 0.40x = 0.60x
so now you have: 0.60x = 31.02
Step 3:
Divide both sides by 0.60 which gets x by itself and gives us the original price which is $51.70
Use the Pythagorean theorem.
x^2 + 5^2 = 13^2
x^2 + 25 = 169
x^2 = 144
x = 12
Answer:
#13 76° (because it is corresponding and vertical to ∠UYV)
#14 40° (because it is corresponding and vertical to ∠TYV)
#15 64° (because it is corresponding and vertical to ∠SYT)
#16 116° (because ∠SYX and ∠XYW added together form the angle)
#17 220° (because ∠TYU, ∠UYV, ∠VYW, and∠XYW add together to form the angle)
#18 104° (because ∠VYW and ∠XYW added together form the angle)
Hope this helps :)