In a polygon with n sides, the sum of the measures of the interior angles, S, is

In a regular polygon with n sides, the measure of each interior angle, a, is the sum of the measures of the interior angles divided by the number of sides, or

In this case, we know the measure of one angle, a = 157.5°, so we plug it into the second formula and solve for n.






Answer: The polygon has 16 sides.
Answer:
x= 35
Step-by-step explanation:
Cos x = Sin( 20+x)
Sin ( 90 – x) = Sin(20+x)
90 – x = 20+x
2x = 70
x = 35
Definitions:
1. A real number can be represented on a number line.
2. A rational number can be represented as a fraction, with both the numerator and denominator as integers. The denominator cannot be zero.
3. An irrational number has decimals that go on indefinitely.
4. An integer is a real number that is countable.
5. A repeating decimal has a group of numbers that repeat indefinitely as decimals.
6. A complex number involves the use of the quantity i, defined as i² = -1.
Answers:
a. 7/8
Real, Rational.
b. √36
Real, Rational because its value is +6 or -6.
c. √24
Real, Irrational.
d. 0.75
Real, rational because 0.75 = 3/4.
e. 0
Real, rational
f. √(-100)
Complex, because √(-1) * √100 = +/- i√100
g.

Irrational, Repeating decimal because

h -18/6
Real, Integer, Rational because -18/6 = -3.
Answer:
4, 6, 27, 18, 1/8, 4 1/3, 12.72, 9.61
Step-by-step explanation:
Absolute value is the same numbers just turn them positive
Answer:
x < 1 or x > 6
Step-by-step explanation: