NEED HELLP ASAP !!!

Mathematics

1 answer:

ss7ja [257]3 years ago

7 0

Answer:

m<x = 48

m<y = 132

Step-by-step explanation:

Since x and y are supplementary angles, that means their sum is 180 degrees.

And we are given that y is 12 less than 3 times the measure of x. With this information we can make a system of linear equations.

x + y = 180

y = 3x - 12

So now plug in the value of y into the first equation.

x + y = 180

x + (3x - 12) = 180

x + 3x = 192

4x = 192

x = 48

And then plug this computed value of x back into the first equation to find the measure of y.

x + y = 180

48 + y = 180

y = 180 - 48

y = 132

So the measures of the angles are as follows:

m<x = 48

m<y = 132

Cheers.

You might be interested in

If we sample from a small finite population without replacement, the binomial distribution should not be used because the event

seropon [69]

Answer:

5/4324 = 0.001156337

Step-by-step explanation:

To better understand the hyper-geometric distribution consider the following example:

There are 100 senators in the US Congress, and suppose 60 of them are republicans so 100 - 60 = 40 are democrats).

We extract a random sample of 30 senators and we want to answer this question:

What is the probability that 10 senators in the sample are republicans (and of course, 30 - 10 = 20 democrats)?

The answer using the h-g distribution is:

$\large \frac{\binom{60}{10}\binom{100-60}{30-10}}{\binom{100}{30}}=\frac{\binom{60}{10}\binom{40}{20}}{\binom{100}{30}}$

Now, imagine there are 56 senators (56 lottery numbers), 6 are republicans (6 winning numbers and 50 losers), we extract a sample of 6 senators (the bettor selects 6 numbers). What is the probability that 4 senators are republicans? (What is the probability that 4 numbers are winners?).

<em>As we see, the situation is exactly the same,</em> but changing the numbers. So the answer would be

$\large \frac{\binom{6}{4}\binom{56-6}{6-4}}{\binom{56}{6}}=\frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}$