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alexira [117]
4 years ago
14

Which statements prove that a quadrilateral is a parallelogram?

Mathematics
2 answers:
yawa3891 [41]4 years ago
7 0

The answers are Quadrilateral DEFG has diagonals that bisect each other.  And Quadrilateral DEFG has opposite angles that are congruent.  

vesna_86 [32]4 years ago
3 0
The answers are A, B and D.
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Factor the following quadratic function (put the lesser value first).<br> x2 + 5x + 6
Anestetic [448]

Answer: Evaluate

5x+x_{2} +6

3 0
2 years ago
Emily decided to take up Weightlifting she thought it would be
melisa1 [442]

Answer:

Common Ratio = 2

Step-by-step explanation:

Emily started with 12 lb at start.

She will double each day

So,

2nd day she will take up weight = 12 * 2 = 24

3rd day she will take up weight = 24 * 2 = 48

and so on

This is a geometric sequence, which is a sequence where each term is found by multiplying the previous term by a constant which is known as the common ratio.

Here, we are multiplying by "2" to get the next term, so we an say the common ratio is "2".

<u>Answer: Common Ratio = 2</u>

8 0
3 years ago
In how many ways can 6 competitors finish a race assuming there are no ties?In how many ways can we sit n people on r &lt; n cha
VLD [36.1K]

Answer:  a) 720, b) ^nC_r=\dfrac{n!}{(n-r)!r!} c) 336, d) 30240 e) 120.

Step-by-step explanation:

Since we have given that

a) Number of competitors  = 6

We need to find the number of ways that 6 competitors can finish a race and there are no ties.

So, Number of ways would be

6!=720

b) number of people = n

Number of chairs = r (r<n)

so, the number of ways we can sit n people on r<n chairs is given by

^nC_r=\dfrac{n!}{(n-r)!r!}

c) If there are three awards :

Gold, silver, bronze.

We need to find the number of ways that these medals can be awarded.

Number of ways is given by

^8P_3\\\\=336

d) Number of 5-digit zip codes are possible is given by

^{10}P_5=30240

e) Number of poeple = 10

Number of people required in committee = 3

Number of different 3 person committee that are selected from 10 people is given by

^{10}C_3=120

Hence, a) 720, b) ^nC_r=\dfrac{n!}{(n-r)!r!} c) 336, d) 30240 e) 120.

6 0
3 years ago
Harry rode 2 1/2 miles on his bike yesterday. He rode 1 3/4 miles on his bike today. If he plans to ride 6 miles this week on hi
aksik [14]

Answer:

1 3/4 miles

Step-by-step explanation:

2 1/2+ 1 3/4= 4 1/4

6-4 1/4= 1 3/4

3 0
3 years ago
Read 2 more answers
Factor the polynomial expression 16y^4 - 625x^4
Helga [31]

Answer:

(25x2 + 4y2) (5x + 2y) (−5x + 2y)

Step-by-step explanation:

Factor 16y4−625x4

−625x4 + 16y4

=(25x2 + 4y2) (5x + 2y) (−5x + 2y)

6 0
4 years ago
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