Give a reason for each step of the proof.
Given: <1 and <2 are complimentary
<1 is congruent to <3,
<2 is congruent to <4
Prove: <3 and <4 are complimentary
Statements: Reasons:
1. <1 and <2 are complimentary 1.Given
2. m<1 + m<2=90* 2.<u>DEFINITION OF COMPLEMENTARY ANGLES</u>
3. <1 is congruent to <3, <2 is congruent to <4 3.__GIVEN______
4. m<1=m<3, m<2=m<4 4.<u>DEFINITION OF CONGRUENT ANGLES_</u>
5. m<3 + m<2=90* 5. <u>SUBSTITUTION PROPERTY (m<1 is replaced by m<3.) </u>
6. m<3 +m<4=90* 6. <u>DEFINITION OF COMPLEMENTARY ANGLES </u>
7. <3 and <4 are complimentary 7.<u> DEFINITION OF COMPLEMENTARY ANGLES</u>
Step-by-step explanation:
1. 16
2. 16
3. 24
4.39
5. 68
6. 51
Answer:
4
Step-by-step explanation:
x^2/ y^4
Let x=8 and y=2
8^2 / 2^4
PEMDAS says powers first
64 / 16
Divide next
4
<h3>
Answer: Choice D. 4^2+5^2 = x^2</h3>
See note at the bottom
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The entire building is 20 feet. Fifteen feet of that is from the ground to the first landing of the stairs or fire escape. So 20-15 = 5 feet represents the height of the second set of stairs (leading to the roof of the building)
The base of the triangle is 4 feet as shown in the diagram. The height is 5 feet as found in the prior paragraph. Use the pythagorean theorem to say
a^2 + b^2 = c^2
4^2 + 5^2 = x^2
Note: If you meant to write 4^2+5^2 = x^2 for choice D, then that would be the answer. Otherwise, there is a typo somewhere.
