Answer:
144°
Step-by-step explanation:
step 1
Find the measure of the central angle of the regular pentagon
Divide 360 degrees by 5 (the number of sides)
Let
c----> the center of the pentagon
we know that
m∠ECA=72°
m∠ACB=72°
therefore
m∠ECB=m∠ECA+m∠ACB
substitute the values
m∠ECB=72°+72°=144°
The measure of angle ECB is equal to the degrees that the pentagon rotate
Answer:
C. -1
Step-by-step explanation:
f(x) = 2/ (-x-1)
As we can see, f(x) is a fraction with two components: numerator (2) and denominator (-x-1).
According to the theorem, the fraction only exists when its denominator is different from 0.
So that in this situation, (-x-1) has to be different from 0
- x - 1 ≠0
=> - x≠ 1
=> x ≠ -1
So that if x = -1, (-x-1) = 0, making the fraction not exist.
So the input is not allowed is x = -1
Answer:
11. 3^2 • 3^5 < 3^8
12. 3^3 • 3^3 > 3^5
13. Option C.
Step-by-step explanation:
11. Which of the following expressions is true?
A. 4^3• 4^4 = 412
4^3• 4^4 = 4^7 = 16384 ❌
B. 5^2 • 5^3 > 5^5
5^2 • 5^3 = 5^5 ❌
C. 3^2 • 3^5 < 3^8
3^2 • 35 = 315 ✔️
D. 5^2 • 54 = 58
5^2 • 54 = 1350 ❌
12. Which of the following expressions is true?
A. 8^3 • 8^2 < 8^4
8^3 • 8^2 = 8^5 ❌
B. 4^4 • 4^4 = 4^16
4^4 • 4^4 = 4^8 ❌
C. 2^2 • 2^6 < 2^8
2^2 • 2^6 = 2^8 ❌
D. 3^3 • 3^3 > 3^5
3^3 • 3^3 = 3^6 ✔️
13. Write the value of the expression: 3^4/3^4
3^4/3^4 = 1
The correct answer is C. 1 ✔️
