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r-ruslan [8.4K]
3 years ago
13

I can’t figure out how to solve this for a. I’ve tried multiple ways but still have not come up with an answer.

Mathematics
2 answers:
abruzzese [7]3 years ago
8 0

Answer:

a = 33

Step-by-step explanation:

IN a parallelogram consecutive angles are supplementary, thus

5a - 52 + 5a - 98 = 180, that is

10a - 150 = 180 ( add 150 to both sides )

10a = 330 ( divide both sides by 10 )

a = 33

zaharov [31]3 years ago
5 0

It's a parallelogram so the each side is a transverse across two opposite parallel sides, so make the usual congruent and supplementary angles.

Here we have T and U must be supplementary angles because they're consecutive interior, if I remember the term.

T + U = 180°

5a - 98° + 5a - 52° = 180°

10a = 180° +  98° + 52° = 330°

a = 33°

Answer: 33°

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8 0
3 years ago
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Wittaler [7]

Answer:

y = - 5/2x - 23/2

Step-by-step explanation:

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b = -4 - (-5/2)(-3)

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3 0
2 years ago
Why might Razis method not be a good way to estimate the probability? My team won 18 of their last 20 matches, so the probabilit
FrozenT [24]

Answer:

It is a really idealistic way to estimate probability.

It usually works well for random events where there is no restriction like:

"There are N elements in a set, the probability of randomly selecting any element is the same (so there is no restriction) meaning that for every single element, the probability is 1/N.

Now suppose that there are K elements (K < N) with a given characteristic, then the probability of randomly selecting one of the K elements out of the sett with N elements is equal to K times the probability of each element, this is:

P = K*(1/N) = K/N"

Then if a dice has 6 possible outputs, and we want to find the probability of getting a 3 or a 5, we need to find the quotient between the outcomes where we get a 3 or a 5 (2) and the total number of outcomes (6)

P = 2/6

Now let's go to the case in the problem:

We know that out of the last 20 games, your team won 18.

Then yes, your team won (18/20)*100% = 90% of their played games.

Does this mean tath the probability of winning the next game is 90%?

Well no, because this is not a random selection, there are a lot of other things needed to analyze, as the win rate of the other team (suppose that the other team won 14 of their last 20 games, then their win rate is (16/20)*100% = 70%

Does this mean that the probability where our team wins is 90%, and the probability of the enemy team winning is 70%?

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5 0
3 years ago
Find the 100th term of the following arithmetic sequence <br> 5.5, 6, 6.5, 7, ...
AysviL [449]

Answer:

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Step-by-step explanation:

The n-th term of an arithmetic sequence is given by the formula ...

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The 100th term of the sequence is 55.

8 0
3 years ago
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