Answer:
55° and 125°
Step-by-step explanation:
Formulate an equation x + (x+70) = 180
Combine like terms to get 2x + 70 = 180
Subtract 70 on both sides to get 2x = 110.
Divide both sides by 2 to get x = 55.
Add 70 to 55 to get 125.
Check your answer by adding 55 + 125. It equals 180, so the angles are equal to 55 and 125.
Answer:
LCL = 59.26 to two decimal places
Step-by-step explanation:
Here, we want to estimate the LCL of the population mean with 90% confidence
We proceed as follows;
Given alpha = 0.1, then Z(0.05)=1.645 (from standard normal table), s = 15
Mathematically;
LCL =x_bar -Z*s/√( n)= 62 - (1.645 * 15)/√81
LCL = 62- (24.675)/9 = 59.2583
LCL = 59.26 to two decimal places
Answer: 8x + 40
Step-by-step explanation:
To distribute, we multiply 8 by both of the values inside the parentheses;
Given:
8(x + 5)
Distribute:
(8 * x) + (8 * 5)
Multiply and simplify:
8x + 40
F(x) = -3x + 4
g(x) = 2
To get f(x) = g(x)
-3x + 4 = 2
-3x = 2-4
-3x = -2
x = (-2/-3)
x = 2/3
