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GrogVix [38]
3 years ago
13

A central angle of a circle measures 42 degrees. What else can be shown to measure 42 degrees?

Mathematics
1 answer:
Slav-nsk [51]3 years ago
4 0

Answer:

Vertically opposite angles

Step-by-step explanation:

Given

\theta = 42^\circ

Required

What else can measure \theta = 42^\circ

The question has missing options. So, I will give a general explanation.

Using the attached image as a point of reference.

Given that:

\theta = 42^\circ

The value of b is calculated as:

b = \theta

Because b and \theta are vertically opposite angles

<em>This gives:</em>

<em></em>b = 42^\circ<em></em>

<em></em>

<em>So, one possible answer to the question is a vertically opposite angle</em>

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A club is choosing 2 members to serve on a committee. The club has nominated 2 women and 4 men. Based on chance alone, what is t
tekilochka [14]

Answer:

53.33% probability that one woman and one man will be chosen to be on the committee

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the members are chosen is not important, so we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

What is the probability that one woman and one man will be chosen to be on the committee?

Desired outcomes:

One woman, from a set of 2, and one man, from a set of 4. So

D = C_{2,1}*C_{4,1} = \frac{2!}{1!1!}*\frac{4!}{1!3!} = 8

Total outcomes:

Two members from a set of 2 + 4 = 6. So

T = C_{6,2} = \frac{6!}{2!4!} = 15

Probability:

p = \frac{D}{T} = \frac{8}{15} = 0.5333

53.33% probability that one woman and one man will be chosen to be on the committee

5 0
3 years ago
Help !!!!<br> my math teacher wants me to answer this, and I have to give the answer in 10 minutes
mariarad [96]
45 degrees for x.
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7 0
3 years ago
In the trapezoid ABCD ( AB ∥ CD ) point M∈ AD , so that AM:MD=3:5. Line l ∥ AB and going trough point M intersects diagonal AC a
geniusboy [140]

Answer:

BC:BN=8:3

Step-by-step explanation:

ABCD is a trapezoid and there is a point m which belongs to AD such that AM:MD=3:5.Line "l" parallel to AB intersects the diagonal AC at p and BD at N.

Now, we know that the parallel lines divide the transversal into the segments with equal ratio, therefore, BN:NC=AM:MD

But, BC= BN+NC

Therefore, BC:BN=(BN+NC):BN

⇒BC:BN=(3+5):3

⇒BC:BN=8:3


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3 years ago
What is the value of x?
Papessa [141]
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Carmen takes 1 breath every<br> 4 seconds. How many breaths will she take<br> in 1 minute?
aleksklad [387]

Answer:

15

Step-by-step explanation:

60/4 =15

8 0
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