G(x) is f(x) rotated about the x-axis and then compressed vertically by a factor of 4/5.
Answer:
m<PTR = 140°
Step-by-step explanation:
First, find the value of x. To find the value of x, derive an equation which you'd use in solving for x.
m<PTQ = (x + 28)°
m<RTS = (2x + 16)°
m<PTQ = m<RTS (vertical opposite angles are congruent)
Therefore:
x + 28 = 2x + 16
Solve for x. Combine like terms
28 - 16 = 2x - x
12 = x
x = 12
Find m<PTQ
m<PTQ = (x + 28)
plug in the value of x
m<PTQ = 12 + 28 = 40°
m<PTR + m<PTQ = 180° (supplementary angles)
m<PTR + 40° = 180° (substitution)
m<PTR = 180 - 40 (subtracting 40 from each side)
m<PTR = 140°
Answer:
8 parts multiply 45x8=360
Step-by-step explanation:
It is not too difficult. Just do this
50-15
5(10-3)
The answer is 5(10-3)
Answer:
Child tickets are 97
Step-by-step explanation:
x + y = 175 ...............(1)
x = 175 - y
5.90x + 9.10y = 1282.10. .........(2)
5.90 (175 - y) + 9.10y = 1282.10
1032.50 - 5.9y + 9.10y = 1282.10
3.2y = 249.60
y = 249.6. / 3.2
y = 78
From equation 1
x + y = 175
x + 78 = 175
x = 175 - 78
x = 97