The degree and direction of rotation that takes ΔQRS to ΔQ'R'S' is:
45 degrees; anticlockwise direction.
<h3>What is rotation in math?</h3>
The transformation by rotation refers to the movement of a shape or point in a circular path about a fixed point.
When the shape moves in an anticlockwise direction, it means that It is going in the opposite way as the hands of a clock do.
Learn more about rotation in math:
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Answer:
The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.
Step-by-step explanation:
Due to the assumption of a yearly average rate, a linear function model shall be used. The expected amount of jobs (
) after a certain amount of years (t) is given by the following formula:

Where:
- Initial amount of jobs in pipe fitting industry, measured in thousands.
- Average yearly rate, measured in thousands per year. (A decline is indicated by a negative sign)
If
,
and
, then:


The percent change in jobs from pipe fitting industry is calculated as follows:



The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.
Answer:
40 months
Step-by-step explanation:
Since it takes him 2 months to drive 15,000 miles
He drives 7,500 miles/month (15,000 miles / 2months)
Dividing the total distance by his speed yields the time it takes to drive that distance
300,000 miles / 7,500 miles/month = 40 months
Answer:
this is the answer all you had to do was search it up
Rule of thumb: ANY absolute value is positive.
I 5x + 10I = -7
5x + 10 = -7 -Subtract 10 from both sides of the equation.
5x + 10 - 10 = -7 - 10
5x = -17 -Divide both sides by 5.
5x / 5 = -17 / 5
x = -3.4
Hope this helps! Have a happy thanksgiving, here's a turkey!