This is the concept of geometry, we are required to find the values of angle a,b,c,d;
Given that the triangles are by line intersecting two parallel lines, therefore we can conclude that both triangles are similar;
thus;
angle b=40° ⇒alternate angles
angle b= angle c=40° ⇒base angles of isosceles triangles are equal;
angle d=180-(40+40)=180-80=100°
angle a=360-80=240°
19 1/2 appointments because 6 1/2 hours divided by 1/3 of an hour (when the stylist schedules an appointment each time) equals 19 1/2. hope this helps!
P(Y > 121) = 1 - P(Y < 121) = 1 - P(z < (121 - 115)/6) = 1 - P(z < 1) = 1 - 0.84134 = 0.15866
P(Y ≤ c) = 0.15
P(Y ≤ c) = 1 - 0.85
P(Y ≤ c) = 1 - P(z ≤ 1.0365)
P(Y ≤ c) = P(z ≤ -1.0365)
Thus, (c - 115) / 6 = -1.0365
c - 115 = -6.219
c = -6.219 + 115
c = 108.781
F(x) = 3^x
f(-2) = 3^-2
f(-2) = 1/(3^2) = 1/9
