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3 years ago

Please help with a math problem. Please explain how you got the answer

Mathematics

1 answer:

Studentka2010 [4]3 years ago

7 0

Answer:

Their sum is 140. The measure of an exterior angle is supplementary to the respective interior angle.

Step-by-step explanation:

Since the angle are on a straight line, m2 and 140 sum to 180.

So m2=40. Because a triangle has 180 degrees, m1 and m3 must sum to 140.

The exterior angle is always on the same incline as the interior angle, so it is always supplementary to the interior angle.

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What is m∠HLK? thanks

Katen [24]

The answer is 80°.

If there is a line segment in a triangle which cuts two sides in half or if there is a line segment between two midpoints of a triangle's sides, that line segment must be parallel to the remaining side.

In this case, point L is the midpoint of FH, and point K is the midpoint of HG. So, LK is parallel to FG.

When a line cuts two parallel lines, there are angle pairs which are equal. In the problem above, the line segment FH cuts KL and GF.

The angles KLH and GFH are what we called "Corresponding Angles" and they are equal.

So if HFG is 80°, HLK must be equal to 80°

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3 years ago

2/5 simplified to its lowest

Dmitry [639]

Answer:

Its already simplified.

Step-by-step explanation:

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2 years ago

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Which of the following best describes the graph below?

Ksju [112]

C.

No value of x has two values of y, thus it is a one-to-one function.

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3 years ago

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There are 7 acts in a talent show.

lara31 [8.8K]

Answer:

Event A: 1/35

Event B: 1/840

Explanation:

Event A

For the event A, the order of the first 4 acts does not matter.

The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.

Thus, the number of ways that the first four acts can be scheduled is:

$C(m,n)=\dfrac{m!}{n!(m-n)!}$

$C(7,4)=\dfrac{7!}{4!(7-4)!}=\dfrac{7!}{4!(3)!}=35$

And the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order, is 1: C(4,4).

Therefore the probability of Event A is:

$P(A)=1/35$

Event B

Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.

The number of ways in which four acts can be scheculed when the order matters is:

$P(m,n)=\dfrac{m!}{(m-n)!}$

$P(m,n)=\dfrac{7!}{(7-4)!}=P(m,n)=\dfrac{7!}{4!}=840$

The number of ways the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth is 1: P(4,4)

Therefore, the probability of Event B is:

$P(B)=1/840$

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3 years ago

36 cups equal how many ounces

Sphinxa [80]

There are 8 ounces per cup, meaning that you would have to multiply to find your answer.
Multiply 36X8.
36X8=288
288 is your answer.

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3 years ago

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