X and Z equal 72
Y equals 108.
This is because y and 108° are vertex angles meaning they are both equal to each other. X is 72 because it’s form a supplementary angle with 108°. So what I did to find x is I subtracted 108 from 180 to get 72°. Then I know x and z are vertex angles meaning that z is also equal to 72°
Answer:
B
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
g(x) is f(x) shifted 3 units right and 1 unit up , then
g(x) = (x - 3)² + 1 → B
Answer:
f(x) has a larger growth rate
f(x) is always greater than g(x)
Step-by-step explanation:
f(x) = 2/5 x
g(x) = -2x
the slope of f(x) when graphed is 2/5 x, which is a positive value making it a larger growth rate than g(x) and it also will always be greater since the value of f(x) is positive
therefore the correct true statements are:
f(x) has a larger growth rate, and f(x) is always greater than g(x)
Answer:
54
Step-by-step explanation:
angle A+angle B+Angle C =180 degree [ angle sum property of a triangle]
36 +90 + angle B =180 degree
126 +angle B =180 degree
angle B= 180-126
54 degree
Ans
Answer:
95% Confidence interval: (39.43, 61.58)
Step-by-step explanation:
We are given the following in the question:
Sample mean, 
= $50.50
Sample size, n = 15
Alpha, α = 0.05
Sample standard deviation = 20
95% Confidence interval:
Putting the values, we get,
95% Confidence interval: (39.43, 61.58)
