We know Angle HMK is half the sum of Arc JI and Arc HLK. So, we can set up an equation.
8x - 1 = 1/2 (3x + 2 + 15x - 36)
8x - 1 = 1/2 (18x - 34)
16x - 2 = 18x - 34
32 = 2x
16 = x
Then, we can substitute x into Arc HLK
HLK = 15x - 36
HLK = 240 - 36
Arc HLK = 204°
No it would be Pi *r *r because the r is to the power of 2
X= child ticket
y= adult ticket
COST EQUATION:
$5.90x + $9.70y=$1352.20
QUANTITY EQUATION:
x+y=168
Step 1:
Solve for one variable in either equation and substitute it in the other equation
x+y=168
subtract y from both sided
x=168-y
Step 2:
substitute x=168-y in other equation
5.90x + 9.70y=1352.20
5.90(168-y) +9.70y=1352.20
multiply 5.90 by everything in parentheses
(5.90*168)+(5.90*-y) +9.70y=1352.20
991.20-5.90y+9.70y=1352.20
combine like terms
991.20+3.80y=1352.20
subtract 991.20 from both sides
3.80y=361
divide both sides by 3.80
y=95 adult tickets
There were 95 adult tickets sold.
Hope this helps! :)
Answer:
30
Step-by-step explanation:
multiply by -0.5 on both sides to get rid of the fraction. -15×(-0.5)=30
