Answer:
Step-by-step explanation:
Statements Reasons
1. MN is an angle bisector of ∠JMK 1. Given
2. ∠JMN ≅ ∠NMK 2. Definition of an angle bisector
3. m∠JMN ≅ m∠NMK 3. Definition of congruent angles
4. m∠JMN + m∠NMK = m∠JMK 4. Angle addition postulate
5. m∠JMN + m∠JMN = m∠JMK 5. Substitution property
6. 2(m∠JMN) = m∠JMK 6. Addition property of equality
7. m∠JMN = 7. Division property of equality
Answer:
The function g(x) is odd.
Step-by-step explanation:
Even and odd functions:
If for every value of x, f(x) = f(-x), the function is even.
If for every value of x, f(x) = -f(x), the function is odd.
If those statements are false, the function is neither even nor odd.
In this question:
Since g(x) = -g(-x), the function g(x) is odd.
Answer:
144, 36, 9, 2
Step-by-step explanation:
The recursive formula allows us to find a term in a sequence from the previous term.
Given
=
Given the fourth term we require to work back to the third term , second and so on. Rearrange the formula to give
Multiply both sides by 4, then
= 4
Given a₄ = 2 , then
a₃ = 4 × a₄ = 4 × 2 = 9
a₂ = 4 × a₃ = 4 × 9 = 36
a₁ = 4 × a₂ = 4 × 36 = 144