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Drupady [299]
2 years ago
9

Determine whether each piece of given information alone is sufficient to prove quadrilateral ABCD is parallelogram. Justify your

answer. Yes/No? Reason... opposite side congruent, opposite angles congruent, opposite sides parallel, consecutive angles are supplementary, diagonals bisect each other, one pair of parallel and congruent sides, not enough information? (look at the image)

Mathematics
1 answer:
denis-greek [22]2 years ago
6 0

Answer:

Yes it is parallelogram because diagonals bisect each other.

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Driving 65 mph, it takes Alicia 3 hours to reach the airport to go on a vacation. It then takes her 4 hours to get to her destin
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Answer: i am the first one to answer please mark brainliest

65x3 + 450x4=

Step-by-step explanation:

195+1800=1995

3 0
2 years ago
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Find the missing number?
Rus_ich [418]

Answer:

65 solve theprob

Step-by-step explanation:

sinolove ko po yan paki brainly

4 0
2 years ago
A toy store wants to give away free goody bags to their customers. They have 60 lollipops and 72 stickers to give away. They wan
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60 because each bag has to be the same

5 0
2 years ago
A student committee is to consist of 2 freshmen, 5 sophomores, 4 juniors, and 3 seniors. If 6 freshmen, 13 sophomores, 8 juniors
mezya [45]
<h3>Answer:  491,891,400</h3>

Delete the commas if necessary.

============================================================

Explanation:

There are 6 freshmen total and we want to pick 2 of them, where order doesn't matter. The reason it doesn't matter is because each seat on the committee is the same. No member outranks any other. If the positions were labeled "president", "vice president", "secretary", etc, then the order would matter.

Plug n = 6 and r = 2 into the nCr combination formula below

n C r = \frac{n!}{r!(n-r)!}\\\\6 C 2 = \frac{6!}{2!*(6-2)!}\\\\6 C 2 = \frac{6!}{2!*4!}\\\\6 C 2 = \frac{6*5*4!}{2!*4!}\\\\ 6 C 2 = \frac{6*5}{2!}\\\\ 6 C 2 = \frac{6*5}{2*1}\\\\ 6 C 2 = \frac{30}{2}\\\\ 6 C 2 = 15\\\\

This tells us there are 15 ways to pick the 2 freshmen from a pool of 6 total.

Repeat those steps for the other grade levels.

n = 13 sophomores, r = 5 selections leads to nCr = 13C5 = 1287. This is the number of ways to pick the sophomores.

You would follow the same type of steps shown above to get 1287. Let me know if you need to see these steps.

Similarly, 8C4 = 70 is the number of ways to pick the juniors.

Lastly, 14C3 = 364 is the number of ways to pick the seniors.

-----------------------------

To recap, we have...

  • 15 ways to pick the freshmen
  • 1287 ways to pick the sophomores
  • 70 ways to pick the juniors
  • 364 ways to pick the seniors

Multiply out those values to get to the final answer.

15*1287*70*364 = 491,891,400

This massive number is a little under 492 million.

7 0
2 years ago
Jaina and Tomas compare their compound interest accounts to see how much they will have in the accounts after three years. They
stellarik [79]

Formula for compound interest is

Interest = Amount - Principal

Interest = P(1+r)^{t} - P

Where r = rate in percent

t = time in years

For Jaina,

P = $300

r= 7%

t = 3 yrs

So, Interest = 300(1+0.07)^{3} - 300

For Tomas

P = $400

r= 4%

t = 3 yrs

So, Interest = 400(1+0.04)^{3} - 400

So pair of equations for Jaina and Tomas are

Interest = 300(1+0.07)^{3} - 300

Interest = 400(1+0.04)^{3} - 400

5 0
3 years ago
Read 2 more answers
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