Answer: C
Step-by-step explanation:
We know that
, and thus by the exterior angle theorem,

Thus, 
Answer:
a) Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7
b) The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as
98 square feet
Step-by-step explanation:
The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.
The correct area =
15(2x + 7).
= 30x + 105 square feet
The error in Shawn’s expression is
= 15(2x + 7)
= 30x + 7 square feet
Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7
The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as
30x + 105 square feet - 30x + 7 square feet
= 30x + 105 - (30x + 7)
= 30x - 30x + 105 - 7
= 98 square feet
Answer:
Step-by-step explanation:
This is classic right triangle trig. First decide how each side is related to the angle theta. The side 7.7 is opposite the angle theta, while the side 14 is adjacent. That is the tangent ratio by definition. Setting up the tan ratio:

To find a missing angle on your calculator, hit the 2nd button, then the tan button and enter in 7.7/14 and hit enter. You should get an angle measure of 28.8°
If you did not get 28.8 then you are probably in radians. Check it in the "mode" of your calculator.
Answer:
In mathematics, a function on the real numbers is called a step function (or staircase function) if it can be written as a finite linear combination of indicator functions of intervals. Informally speaking, a step function is a piecewise constant function having only finitely many pieces.
Step-by-step explanation:
0.7 is just 7 tenths which is literally 7/10.