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2 years ago

(SAT prep) Find the value of x in each case of the following exercises:

Mathematics

1 answer:

yKpoI14uk [10]2 years ago

8 0

The value of x from the figure is 70°

<h3>How to determine the value</h3>

It is important to note that alternate angles are equal and angles in a triangle sum up to 180°

We then have that,

x + 50 + 60 = 180 °

x + 110 = 180°

Make 'x' subject

x = 180 - 110

x = 70 °

Thus, the value of x from the figure is 70°

Learn more about alternate angles here:

brainly.com/question/24839702

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You might be interested in

Are these right triangles ?<br> Answer please ASAP

V125BC [204]

Answer: Yes.

Step-by-step explanation: Right triangles are 90° and with a square. This is a right triangle. Just remove the line that makes it a triangle, you'll see.

4 0

3 years ago

each of the 20 balls is tossed independently and at random into one of the 5 bins. let p be the probability that some bin ends u

amm1812

if p is the probability that some bin ends up with 3 balls and q is the probability that every bin ends up with 4 balls. pq is 16.

First, let us label the bins with 1,2,3,4,5.

Applying multinomial distribution with parameters n=20 and p1=p2=p3=p4=p5=15 we find that probability that bin1 ends up with 3, bin2 with 5 and bin3, bin4 and bin5 with 4 balls equals:

5−2020!3!5!4!4!4!

But of course, there are more possibilities for the same division (3,5,4,4,4) and to get the probability that one of the bins contains 3, another 5, et cetera we must multiply with the number of quintuples that has one 3, one 5, and three 4's. This leads to the following:

p=20×5−2020!3!5!4!4!4!

In a similar way we find:

q=1×5−2020!4!4!4!4!4!

So:

pq=20×4!4!4!4!4!3!5!4!4!4!=20×45=16

thus, pq = 16.

To learn more about Probability visit: brainly.com/question/29508225

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7 0

1 year ago

a city has a population of 340,000 people suppose each year the population grows by 7% what will rhe population be after 12 year

NemiM [27]

So this is going to be an exponential equation, which the format is $y=ab^x$ , in which a is the initial value and b is the growth/decay rate.

In this case, a is going to be 340,000 and b is going to be 107%, or 1.07, since the population is going to be increasing by 7% and the equation is now $y=340000(1.07)^x$ .

Now replace x with 12 and solve.

$y=340000(1.07)^{12}$

Solve $1.07^{12}$ , and then if you don't round that answer and multiply it with 340000 you get $y=765745$ .

6 0

3 years ago

Write a function rule that represents the situation.

NemiM [27]

Answer:

6.50+0.70t

Step-by-step explanation:

4 0

3 years ago

Which of the following best explains why

Dima020 [189]

We can see values of angles in degrees first

$\frac{5\pi}{6} = \frac{5 \times 180}{6}= \frac{900}{6}$ = 150°

Similarly

$\frac{5\pi}{3} = \frac{5 \times 180}{3}= \frac{900}{3}$ = 300°

Now reference angle means positive acute angle they will have

As we can see in attachment 150° lies in second quadrant so its reference angle will be 180°-150° = 30° from x axis line as shown.

Where as angle 300° lies in fourth quadrant so its reference angle will be 360° - 300° = 60° from x axis as shown. So clearly both reference angles are different . So 1st choice " angles donot have same reference angle" best explains it

Choice (2) and (3) are incorrect as tan is positive only in first and third quadrants and angle 300° is in fourth quadrant.

since angle 150° is in second quadrant and 300° is in fourth quadrant so both will have same negative sign so choice (4) is not correct.

So final ansewr is choice (1) "the angles donot have same reference angle"

8 0

3 years ago