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jolli1 [7]
3 years ago
5

Given that lines a and b are parallel and that m∠8 = 108°, find m∠3.

Mathematics
1 answer:
bagirrra123 [75]3 years ago
6 0

Answer:

just took the test and the answer is 72, hope it helps

Step-by-step explanation:

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Two Cars Start at the Same Point and travel in the Same Direction at the average speeds of 70 miles per hour, and 40 miles per h
cestrela7 [59]

Answer:

You can check it by solving it in your head.  They are separating at the rate of 55-40 or 15 miles per hour.  So in 1 hour or 60 minutes they'll be 15 miles apart, so in 20 minutes they'll be 5 miles apart, so in 40 minutes they'll be 10 miles apart.  So it has to be 40 minutes.

Step-by-step explanation:

55t-40t=10

15t=10

15t/15=10/15

2/3

40 Minutes

3 0
3 years ago
Explain why congruent figures have the same surface area?
Hatshy [7]
Congruent means exactly the same, so congruent figures have the same surface areas because they have the exact same size in each side.
5 0
4 years ago
Find each percent increase round to the nearest percent from $5 to $8
IRISSAK [1]
There are at least a few ways to do it, one of them being:

$8 - $5 = $3, so we may want to find out how much percent of 5 is 3.

3 = x% of 5
3 = x/100 * 5
3 = x/20 * 1
3 = x/20                    / * 20 (both sides)
x = 60 [percent]

So now we know that 3 is 60% of 5. It also means that the increase from $5 to $8 was by <u>60%</u><u />.
6 0
4 years ago
If you have the average production function: APL=3L2 - 0.05L3, the function of marginal product of labour, MPL is
Sveta_85 [38]

Answer:

<h2>The marginal product of labor function or MPL=9L^{2}-0.2L^{3}.</h2>

Step-by-step explanation:

  • The Average Production Function or APL is given as APL=3L^{2}-0.05L^{3} where "L" represents the overall amount labor in the production process.
  • Therefore, the Total Production Function or TPL,in this case, would be TPL=(3L^{2}-0.05L^{3})\times L=TPL=3L^{3}-0.05L^{4}
  • Hence,the Marginal Product of Labor, which is abbreviated as MPL will be=\frac{dL}{dTPL}=(3\times 3L^{2})-(4\times 0.05L^{3})=9L^{2}-0.2L^{3}
  • Therefore,the marginal product of labor function or MPL=9L^{2}-0.2L^{3}

3 0
3 years ago
eight cards are drawn from a standard deck of 52 cards. how many hands off with cards contain exactly three queens and three jac
d1i1m1o1n [39]

Answer:

15,136 hands off with cards contain exactly three queens and three jacks.

Step-by-step explanation:

The order in which the cards are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Standard deck:

4 queens and 4 jacks.

The other 52 - 8 = 44 cards are neither queens nor jacks.

Wow many hands off with cards contain exactly three queens and three jacks?

3 queens from a set of 4.

3 jacks from a set of 4.

2 other cards(not queens neither jacks) from the other 44. So

C_{4,3}C_{4,3}C_{44,2} = \frac{4!}{1!3!} \times \frac{4!}{1!3!} \frac{44!}{2!42!} = 4*4*22*43 = 15136

15,136 hands off with cards contain exactly three queens and three jacks.

4 0
3 years ago
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