HELPPP!!!<br> find the value of each expression then answer the questions.

AB is diameter. <br><br> ( I need help asap it’s due at 11:59 pm)

Vesna [10]

Answer:

Arc AB= 180 degrees

Arc BC= 15 degrees

Arc CA= 165 degrees

Step-by-step explanation:

In order to find the measure of each arc, start by recognizing that a circle equals 360 degrees, and the measure angle of the diameter of this circle is equal to half of 360 degrees, which is 180 degrees.

Since segment AB is the diameter of the circle, it will equal 180 degrees. Thus, causing arc AB equal to 180 degrees.

Next, arc BC equals 15 degrees because the measure of angle BOC is equal to the measure of arc BC.

Then, to find the measure of arc CA, use the diameter of the circle, which is segment AB. Segment AB is equal to 180 degrees, which makes arc AB equal to 180 degrees. Also known is the measure of arc BC, which is 15 degrees. To find the measure of arc CA, subtract the measure of arc BC from the measure of arc AB, and the answer will be 165 degrees.

This looks like 180 degrees - 15 degrees = 165 degrees.

To check if the arc measures are correct, add all the arc measures together. If they sum up to 360 degrees, then the measure of each arc is correct.

7 0

2 years ago

Three numbers between 80 and 100 are prime numbers. What numbers are they? Eight numbers between 31 and 41 are composite numbers

Flura [38]

83, 89, and 97 are three primes between 80 and 100.

The primes between 30 and 50 are 31, 37, 41, 43, and 47, all of which are odd. All other numbers between 30 and 50 are composite.

To mentally find 2*50*25, you could either first multiply 25 by 2, to get 50*50, which can easily be calculated as 2500, or you could multiply the 50 by 2, for a result of 100*25, which is clearly also 2500.

5 0

3 years ago

To the nearest tenth, find the perimeter of ABC with vertices A (-2,-2) B (0,5) and C (3,1)

Pavlova-9 [17]

the perimeter will then just be the sum of the distances of A, B and C, namely AB + BC + CA.

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\A(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-2})\qquadB(\stackrel{x_2}{0}~,~\stackrel{y_2}{5})\qquad \qquadd = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}\\\\\\AB=\sqrt{[0-(-2)]^2+[5-(-2)]^2}\implies AB=\sqrt{(0+2)^2+(5+2)^2}\\\\\\AB=\sqrt{4+49}\implies \boxed{AB=\sqrt{53}}\\\\[-0.35em]\rule{34em}{0.25pt}\\\\B(\stackrel{x_2}{0}~,~\stackrel{y_2}{5})\qquad C(\stackrel{x_1}{3}~,~\stackrel{y_1}{1})\\\\\\BC=\sqrt{(3-0)^2+(1-5)^2}\implies BC=\sqrt{3^2+(-4)^2}$

$\bf BC=\sqrt{9+16}\implies \boxed{BC=5}\\\\[-0.35em]\rule{34em}{0.25pt}\\\\C(\stackrel{x_2}{3}~,~\stackrel{y_2}{1})\qquad A(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-2})\\\\\\CA=\sqrt{(-2-3)^2+(-2-1)^2}\implies CA=\sqrt{(-5)^2+(-3)^2}\\\\\\CA=\sqrt{25+9}\implies \boxed{CA=\sqrt{34}}\\\\[-0.35em]\rule{34em}{0.25pt}\\\\~\hfill \stackrel{AB+BC+CA}{\approx 18.11}~\hfill$

5 0

3 years ago

Use the formula for the probability of two dependent events P(A and B) to derive the conditional probability formula for P(B | A

gregori [183]

The conditional probability formula for P(B | A) has been derived from two dependent events P(A and B).

<h3>What is said to be dependent events?</h3>

When the outcome from one event influences the outcome of the other, two events are referred to as dependent.

Dependent events in probability are generally real-life events that depend on another event to occur.
Sam, for example, did well on his math test because he prepared; the gym class used to have a football session even though Adam brought a football from home.
When you look at these examples, you will realize that one occurrence is dependent on the other.

Derivation of conditional probability from two dependent events P(A and B) is-

The probability multiplication rule is used to derive the conditional probability formula, P(A and B) = P(A)×P(B|A).

This rule is also known as P(AB). The Union symbol (∪) represents "and," as in event A occurring and event B occurring.

Step 1: Write the multiplication rule down:

P(A and B) = P(A)*P(B|A)

Step 2: P(A) divides both sides of the equation:

P(A and B) / P(A) = P(A)*P(B|A) / / P(A)

Step 3: On the right side of the equation, cancel P(A):

P(A and B) / P(A) = P(B|A)

Step 4: Rewrite the equation as follows:

P(B|A) = P(A and B) / P(A)

Therefore, P(B | A) conditional probability formula is compiled from two dependent events P (A and B).

To know more about the conditional probability, here

brainly.com/question/10739997

#SPJ4

8 0

1 year ago

Find the difference.

PSYCHO15rus [73]

D how much randall occured in january?

8 0

3 years ago

HELPPP!!! find the value of each expression then answer the questions.