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Art [367]
3 years ago
3

Johnny is wanting to prove that parallelogram ABCD is a rectangle. He shows that opposite sides are congruent and opposite paral

lel. Can he conclude ABCD is a rectangle ? Why or why not. Explain your reasoning in complete sentences.
Mathematics
1 answer:
GalinKa [24]3 years ago
4 0

Answer:

No, because the statement explains a parallelogram also.

Step-by-step explanation:

A rectangle is a quadrilateral that has four sides which has a set of equal opposite sides that are parallel to each other. The sum of all angles in a rectangle = 360^{0}

No, he can not conclude that ABCD is a rectangle with the statement because the statement is applicable to a parallelogram also. He could add that opposite sides are straight and parallel. So that:

<ABC = CDA = 90^{0} (right angle property)

<DAB = <BCD = 90^{0} (right angle property)

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How many times would a member and a non member have to rent a boat in order to pay the same amount
Yakvenalex [24]
X = number of times they rent a boat. 

Members 
Cost = 105 + 9.50x
Non-members because members don't have to pay the 105 so we gotta leave it out. 
Cost = 14.75x 

Now to determine whether the cost would be equal, we need to set the two equations equal to each other.

105 + 9.50x = 14.75x 

Now solve for x

105 = 5.25x
 
20 = x 

<span>That's your answer.</span><span> They would have to rent 20 times to equal each other. </span>
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3 years ago
A drum has a diameter of<br> 14 inches and a height of<br> 5.5 inches.
Serggg [28]
What is the question?
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4 years ago
How do you expand using the foiling method?
34kurt
First ("first" terms of each binomial are multiplied together)
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3 years ago
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Pls help. i really need help on this!!
lina2011 [118]

Answer:

a.) $10.50

b.) $45.00

c.) about 66.67%

Step-by-step explanation:

a.) regular price = 15.00

    discount = 30% or 0.3

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    15.00 - 4.50 ---------> by subtracting from original price, you have sale price

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b.) bought price = 25.00

    marked up = 80% or 0.8

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    24 / 36 -----> divide bought price by original to find what percentage it is

    = .66666 which is rewritten as 66.667%

    you can check this by multiplying that percentage by the original price

hopefully this helps a little bit

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3 years ago
Keith had 8 1/2 cups of flour. he used 5 2/3 cups to make bread. how many cups of flour does Keith have left
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8 1/2  -  5 2/3  =

<span>= 17/2 − 17/3

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= 17/6

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<span />Hope this helps. :)

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3 years ago
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