Answer: 110 degrees
Angle measurements are preserved when translations happen. Shifting a figure will not change the angle. So because angle A = 110 degrees, this means angle A' = 110 degrees as well.
Hi there!
All you need to do to solve for a is add 1.6 to both sides of the equation.
It will look like this:
a - 1.6 + 1.6 = -3.7 + 1.6
After this you will see that a = -2.1.
Hope this helps!
When in doubt just replace a with -2.1 and see if you still get -3.7. :)
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Answer:
c = 150p + 1000
Step-by-step explanation:
We know the variable cost is 150 per phone, so the total cost will be ...
c = 150p +b . . . . for some value b
We also know the value of c for 8 phones, so we can find b:
2200 = 150(8) + b
2200 -1200 = b = 1000
Then the desired equation is ...
c = 150p + 1000
Answer:
Any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.
Step-by-step explanation:
<u>Interpreting Box Plots</u>
A box plot is used to present the 5-Number summary of a set of data.
The 5-Number summary consists of the following in their order of appearance on the box plot.
- Minimum Value
- First Quartile,

- Median,

- Third Quartile,

- Maximum Value
In the box plot, the following rules applies
- The whisker starts from the minimum value and ends at the first quartile.
- The box starts at the first quartile and ends at the third quartile. There is a vertical line inside the box which shows the median.
- The end whisker starts at the third quartile and ends at the maximum value.
Using these, we interpret the given box plot
A left whisker extends from 1 to 6.
- Minimum Value=1
- First Quartile =6
The box extends from 6 to 16 and is divided into 2 parts by a vertical line segment at 12.
- Median=12
- Thrid Quartile=16
The right whisker extends from 16 to 19.
Therefore any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.
Factorial is used to find the number of ways a given number of objects can be ordered