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 ~=
2/3 < 3/4. Hope that helps
Answer:
2 to the power of 2 times three to the power of 2
3 to the power of 2 times 5 to the power of 2
6 to the power of 2 times 7 to the power of 3
7 to the power of 2 times 5 to the power of 3
3 to the power of 2 times 5 to the power 2 times 7 to the power of 2
Step-by-step explanation:
Given: A= 14 ft² and l= 2w-3
formula for area of a rectangle is A=lw
substitute for what you know and simplify:
14=(2w-3)w -> w= either -2 or 7/2 but because a width value can not be negative you can eliminate the -2 value. w=7/2
subsitute width into equation for length and solve
l=2w-3= 2(7/2)-3= 4
width: 3.5 ft
length: 4 ft
