Answer:
Step-by-step explanation:
Yes
Theorem 8.3: If two angles are complementary to the same angle, then these two angles are congruent.
∠A and ∠B are complementary, and ∠C and ∠B are complementary.
Given: ∠A and ∠B are complementary, and ∠C and ∠B are complementary.
Prove: ∠A ~= ∠C.
Statements Reasons
1. ∠A and ∠B are complementary, and ∠C and ∠B are complementary. Given
2. m∠A + m∠B = 90º , m∠C + m∠B = 90º Definition of complementary
3. m∠A = 90 º - m∠B, m∠C = 90º - m∠B Subtraction property of equality
4. m∠A = m∠C Substitution (step 3)
5. ∠A ~= ∠C Definition of ~=
Answer:
2z-6
Step-by-step explanation:
2(z-3)
2(z)-2(3)=2z-6
LCD is 20
3/5 -> 12/20
1/20 -> 1/20
Answer:
w² - 13w + 36
Step-by-step explanation:
Given
(w - 9)(w - 4)
Each term in the second factor is multiplied by each term in the first factor, that is
w(w - 4) - 9(w - 4) ← distribute both parenthesis
= w² - 4w - 9w + 36 ← collect like terms
= w² - 13w + 36
