In an isosceles triangle, the base angles are congruent. The third angle is called the vertex angle.
Here, the vertex angle is <A.
Therefore, m<C = m<B.
m<A = 3m<B + 20
m<A + m<B + m<C = 180
3m<B + 20 + m<B + m<B = 180
5m<B + 20 = 180
5m<B = 160
m<B = 32
m<C = m<B = 32
Answer: m<C = 32 deg
Since the order of selection does not matter, we will use combinations to solve this problem.
We are to form the combination of 30 objects taken 6 at a time. This can be expressed as 30C6.

This means the six teachers can be selected in 593775 ways.
So the correct answer is option A
Answer:
5 * 3 * 2
Step-by-step explanation:
30
15 * 2
5 * 3 * 2

d - distance
v - speed
t - time
Car A:

Car B:
15 mph faster than car A

Both cars traveled equal distances:

Car B traveled at the speed of 60 mph.
In this question, we given a piece-wise function, that has different definitions depending on the domain.
Evaluate the function at x = 0.
The exercise asks for us to evaluate the function at 
We have to look at the definition, and see which definition includes
. The equal sign at
is on the second definition, that is:

Thus, at
, the value of the function is 1, and the correct answer is given by option A.
For another example of evaluation of a piece-wise function, you can check brainly.com/question/17966003