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sukhopar [10]
3 years ago
11

Find the value of x for the given value of y. y=9−7x; y=37

Mathematics
1 answer:
MrMuchimi3 years ago
6 0

Answer:

For y=37, x= -4

Step-by-step explanation:

We have to find the value of x, when y=37 is the given value for the given equation

y=9-7x

Putting the value of y=37 in the equation to find the 'x'

y=9-7x

          37=9-7x\\7x=9-37\\7x=-28\\x=-4

So, for the value of y=37, the value of x=-4

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Given: m∠EYL=72°<br> Find: mEHL , mLVE
White raven [17]

Answer:

Part 1) The measure of arc EHL is 108\°

Part 2) The measure of angle LVE is 54\°

Step-by-step explanation:

step 1

Let

x-----> the measure of arc EHL

y----> the measure of arc EVL

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

so

m

we have

m

substitute

72\°=\frac{1}{2}(y-x)

144\°=(y-x)

y=144\°+x ------> equation A

Remember that

x+y=360\° -----> equation B ( complete circle)

substitute equation A in equation B and solve for x

x+(144\°+x)=360\°

2x=360\°-144\°

x=216\°/2=108\°

Find the value of y

y=144\°+x

y=144\°+108\°=252\°

therefore

The measure of arc EHL is 108\°

The measure of arc EVL is 252\°

step 2

Find the measure of angle LVE

we know that

The inscribed angle measures half that of the arc comprising

Let

x-----> the measure of arc EHL

m

we have

x=108\°

substitute

m

3 0
3 years ago
There are 100 men and 100 seats, and each person has a pre-assigned seat. However, the first person is randomly assigned (either
olganol [36]

Answer:

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Step-by-step explanation:

- First observe that the fate of the last person is determined the moment either the first or the last seat is selected! This is because the last person will either get the first seat or the last seat. Any other seat will necessarily be taken by the time the last guy gets to 'choose'.

- Since at each choice step, the first or last is equally probable to be taken, the last person will get either the first or last with equal probability: 1/2

- Armed with the key observation, we see that the event that the last person's correct seat is free, is exactly the same as the event that the first person's seat was taken before the last person's seat.

- Well, each person had to make a random choice, was equally likely to choose the first person's seat or the last person's seat - the random chooser exhibits absolutely no preference towards a particular seat. This means that the probability that one seat is taken before the other must be 1/2

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andriy [413]
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