Two angles are supplementary to each other. If the first angle measures 58 then which of the following could be the measure of t
1 answer:
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The proportion that could be used to solve for the variable is ; h = 7.5 ⇒ answer b
Step-by-step explanation:
A proportional relationship: one variable is always a constant value times the other, that constant is called the constant of proportionality
- y = k x is the equation of the proportional relationship
- We can write the proportional relationship in the form
The number of walls and the number of hours are increased or decreased together
∴ The number of walls and the number of hours are proportion
∵ 16 walls in 40 hours
∵ 3 walls in h hours
- By using the second rule above
∴
The proportion that could be used to solve for the variable is
Let us solve it to find h
∵
- By using cross multiplication
∴ 16 × h = 3 × 40
∴ 16 h = 120
- Divide both sides by 16
∴ h = 7.5
The value of h is 7.5 hours
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Answer:
y =
Step-by-step explanation:
Given
6 | 5y - 1 | - 1 = 29 ( add 1 to both sides )
6 | 5y - 1 | = 30 ( divide both sides by 6 )
| 5y - 1 | = 5
The absolute value function always returns a positive value. However, the expression inside can be positive or negative, thus
5y - 1 = 5 ( add 1 to both sides )
5y = 6 ( divide both sides by 5 )
y =
OR
- (5y - 1) = 5, that is
- 5y + 5 = 5 ( subtract 5 from both sides )
5y = 0 ⇒ y = 0
As a check substitute these values into the left side and if equal to the right side then they are the solutions.
x = 0 : 6|0 - 1 | - 1 = 6 | - 1| - 1 = 6(1) - 1 = 6 - 1 = 5 ≠ 29
x = : 6 | 6 - 1 | - 1 = 6(5) - 1 = 30 - 1 = 29
Thus x = is a solution, x = 0 is extraneous