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3 years ago

Determine the measure of the interior angle at vertex F

Mathematics

1 answer:

AfilCa [17]3 years ago

3 0

Answer:

Step-by-step explanation:

The interior angles of a 6 sided figure add to (n-2) * 180

where n is the number of sides

(6-2) *180

4*180

720

2x+4x+4x+4x+4x+2x = 720

20x = 720

Divide by 20

20x/20 = 720/20

x =36

We want <F

<F = 2x = 2*36 = 72

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If a fair coin is tossed four times, what is the probability of it landing heads up at least three times

garri49 [273]

The probability of it landing heads up at least three times is 1/4.

According to the statement

We have a given that the coin is tossed 4 times And we have to find the probability of it landing heads up at least three times.

So, we know that the

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.

So, According to the statement

Coin is tossed 4 times and we have to probability of find heads three times it means n = 3.

To get 3 heads, means that one gets only one tail. This tail can be either the 1st coin, the 2nd coin, the 3rd, or the 4th coin.

Thus there are only 4 outcomes which have three heads.

The probability is 4/16 = 1/4.

So, The probability of it landing heads up at least three times is 1/4.

Learn more about the probability here brainly.com/question/24756209

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4 0

2 years ago

Find the equation of a circle that has a diameter with the endpoints given by the points A(-4,9) and B (- 2, - 3) )

Aleksandr-060686 [28]

The equation of the circle is $(x+3)^{2}+(y-3)^{2}=37$

Explanation:

Given that the endpoints of the circle are A(-4,9) and B(-2,-3)

We need to determine the equation of the circle.

Center:

The center of the circle can be determined using the midpoint formula,

$Center=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Substituting the coordinates A(-4,9) and B(-2,-3), we get,

$Center=(\frac{-4-2}{2},\frac{9-3}{2})$

$Center=(\frac{-6}{2},\frac{6}{2})$

$Center=(-3,3)$

Thus, the center of the circle is (-3,3)

Radius:

The radius of the circle can be determined using the distance formula,

$r=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$

Substituting the center (-3,3) and the endpoint (-4,9), we get,

$r=\sqrt{\left(-4+3\right)^{2}+\left(9-3\right)^{2}}$

$r=\sqrt{\left(-1\right)^{2}+\left(6\right)^{2}}$

$r=\sqrt{1+36}$

$r=\sqrt{37}$

Thus, the radius of the circle is $\sqrt{37}$

Equation of the circle:

The standard form of the equation of the circle is given by

$(x-a)^{2}+(y-b)^{2}=r^{2}$

where (a,b) is the center and r is the radius.

Substituting the values, we have,

$(x+3)^{2}+(y-3)^{2}=(\sqrt{37})^{2}$

$(x+3)^{2}+(y-3)^{2}=37$

Thus, the equation of the circle is $(x+3)^{2}+(y-3)^{2}=37$

7 0

3 years ago

Identify the equation for the line of the graph below.

yan [13]

The answer is y=1/2x-3!

3 0

3 years ago

A group of friends will host a party and split the cost of food and supplies evenly. The cost that each person will pay is inver

timofeeve [1]

Answer:

C=60/h

Step-by-step explanation:

Cost is inversely Proportional to the number of friends who decides to host.

If five (5) friends host the party,

And each friend pays $12 for food and supplies

The equation that describes the relationship is

C=k ×1/h

Where,

C= cost that each host pays

K=constant

h=number of host

Therefore,

$12=k×1/5

$12=k/5

Make k the subject of the formula

$12=k*1/5

Multiply both sides by 5

12×5=k*1/5×5

60=k*5/5

60=k*1

60=k

Sub the value of k into

C=k ×1/h

C=60*1/h

C=60/h

4 0

3 years ago

Mrs. Clark is Zooming with a certain number of students and 12 students are in the waiting room, she Zoomed with a total of 37 s

kobusy [5.1K]

Answer:

Step-by-step explanation:

The students on the screen is the difference between the total number of students she zoomed and the students in the waiting area

37 - 12 = 25

6 0

3 years ago