Answer:
Step-by-step explanation:
<u>Incenter is the intersection of angle bisectors.</u>
- ∠MJP = ∠OJP, ∠MKP = ∠NKP, ∠NLP = ∠OLP
<u>First find the value of x:</u>
- 7x - 6 = 5x + 4
- 7x - 5x = 4 + 6
- 2x = 10
- x = 5
<u>Find the angle MJP:</u>
<u>We know sum of interior angles of a triangle is 180°. Using this find the missing angle measure:</u>
- 2*m∠MJP + 2*m∠NJP + 2*m∠MKP = 180°
- m∠MJP + m∠NJP + m∠MKP = 90°
- 29° + 26° + m∠MKP = 90°
- m∠MKP = 90° - 55°
- m∠MKP = 35°
Answer:
(-4,4)
Step-by-step explanation:
So since the rule is (4x, 4y) all you have to do is multiply. -1 x 4 = -4 and 1 x 4 = 4.
Using systems of equations, you can find the number of tickets by elimination.
S are students and A are adults.
S+A=8
7.25A+5.50S=52.75
Multiply the first equation by -5.50 to eliminate S.
-5.50A-5.50S=-44
7.25A+5.50S=52.75
1.75A=8.75
8.75÷1.75=5
There were 5 adult tickets and 3 students.
