Answer:
FH ~ 10.02
Step-by-step explanation:
1. Approach
One should first find the circumference of the given circle. Then one should find how large the fraction of the circumference one is supposed to find is. Finally, one should multiply the fraction of the circumference one is supposed to find by the total circumference.
2. Circumference of the circle
The formula for circumference is;
π
Substitute in the given values;
It is given that the radius is, hence
2 (7) π
14π
3. Find the fraction of the circumference one is supposed to find
It is given that the angles over the measure of the total degrees of angles in a circle are equal to the arc surrounding the angles of the circumference. Essentially;

Substitute in the given information and solve;

arc = 
arc = 
arc ~ 10.02
Answer:

Step-by-step explanation:
The given expression is

First, we need to factor each denominator

So, the least common factor (LCF) is
, because they are the factors that repeats.
Now, we diviide the LCF by each denominator, to then multiply it by each numerator.

Then, we factor the numerator, to do so, we need to find two numbers which product is 10 and which sum is 7.

Therefore, the expression is equivalent to

The value of m is -30 because once you get m on the one side the equation is 3m=-90 and once you divide -90 by 3 you get m=-30.