Answer:
Angle A = 19
Step-by-step explanation:
Vertical angles are congruent ( equal to each other )
If angle A and angle B are vertical angles and vertical angles are congruent then angle A = angle B
If angle A = 3x + 13 and angle B = 5x + 9 then 3x + 13 = 5x + 9
( Note that we just created an equation that we can use to solve for x )
We now solve for x using the equation created
3x + 13 = 5x + 9
Step 1 subtract 3x from both sides
Outcome: 13 = 2x + 9
Step 2 subtract 9 from both sides
Outcome: 4 = 2x
Step 3 divide both sides by 2
Outcome: x = 2
Now to find Angle A
All we have to do to find the measure of angle a is simply substitute 2 for x in it's given expression ( 3x + 13 )
Substitute 2 for x
Angle A = 3(2) + 13
Multiply
Angle A = 6 + 13
Add
Angle a = 19
Answer:
9m−17, if you mean 26m+18-17m-35
Answer:
Option C) 146.5
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 130 weeks
Standard Deviation, σ = 10 weeks
We are given that the distribution of completion time is a bell shaped distribution that is a normal distribution.
Formula:
P(X<x) = 0.95
We have to find the value of x such that the probability is 0.95
P(X < x)
Calculation the value from standard normal z table, we have,
The project should be completed in 146.5 weeks or less.
Hence, 146.5 weeks should be set the due date such that there is a 95 percent chance that the project will be finished by this time.
You will solve it simultaneously
Complete Question
If a logo has dimensions of 6 ft and 11ft, he needs a quart of paint for every 22 square ft. How many quarts will he need for the whole logo?
Answer:
3 quarts of paint
Step-by-step explanation:
The Logo is rectangular in shape, hence:
The area of a rectangle = Length × Width
The logo has dimensions of 6 ft and 11ft.
Area of the Logo = 6ft × 11ft = 66ft²
He needs a quart of paint for every 22 square ft
Hence:
22 ft² = 1 quart of paint
66ft² = x
Cross Multiply
22 ft² × x = 66 ft² × 1 quart
x = 66 ft² × 1 quart/22 ft²
x = 3 quarts of paint
Therefore, he will need 3 quarts of paint for the whole logo.
