Answer:
Given: It is given that and .
To Prove: ABCD is a parallelogram.
Statements
1. and
Reason: Given
2. are alternate interior angles
Reason: Def of alternate interior angles
3.
Reason: Alternate interior angles are congruent
4.
Reason: Reflexive property
5.
Reason: SAS congruency theorem
6.
Reason: Corresponding Parts of Congruent triangles are Congruent (CPCTC)
7. ABCD is a parallelogram
Reason: Parallelogram Side Theorem
Step-by-step explanation:
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Answer
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Step-by-step explanation:
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Answer:
h = 2
Step-by-step explanation:
I'm assuming your periods are multiplication signs.
(h + h) X (h X h) = 16
When adding two variables like the first set of parentheses, it would become 2h. When multiplying two like variables, you add the exponents. h is the same as writing h¹. So h¹ x h¹ gives you the answer of h².
So now your equation would look like:
2h X h² = 16
As above, when you multiply two like variables you would add the exponents. Also if any number are in front of the variable you would multiply those numbers. So you have 2h¹ x 1h² and that would be 2h³. If it had been
2h¹ x 2h², your answer would have been 4h³.
But so far you have 2h¹ x 1h² = 16
2h³ = 16
Dividing both sides by 2 you get
h³ = 8
To find h you have to take the cubed root of 8. What number multiplied by itself 3 times gives you 8? 2 x 2 x 2 = 8 2 x 2 = 4 and x 2 = 8.
h = 2
If you put this into the original equation you have:
(2 + 2) x ( 2 x 2) = 16
( 4 ) x ( 4 ) = 16
