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Morgarella [4.7K]
4 years ago
7

What us a comparison of two numbers or variables that can be written in fraction form

Mathematics
1 answer:
Zigmanuir [339]4 years ago
4 0
A comparison of two numbers or variables is a proportion
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There are 11 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different su
Lelechka [254]

Answer:

1980

We can choose 2 men from 9 in 36 in ways.

We can choose 2 women from 11 in 55 ways.

For any arrangement of 2 men there are 55 ways of combining them with 2 women => 55 * 36 = 1980 total ways.

If you're wondering how i got the numbers i used the combination formula:

C(n, k) = \frac{n!}{k!(n-k)!}

3 0
3 years ago
Point O is the center of the given circle. What is the measure of yz?
jasenka [17]

Answer:

  • B. 108°

Step-by-step explanation:

<u>XO = YO equal as radius, therefore</u>

  • m∠X = m∠Y = 54°

∠YOZ is exterior angle of the triangle OXY and equal to sum of non-adjacent interior angles

  • m∠YOZ = 54° + 54° = 108°

Arc YZ is 108°

Correct option is B

8 0
3 years ago
In the figure below, mZ1=(x +48) and m2 2=2xº.<br> Find the angle measures.
NARA [144]
Since m < 1 and m < 2 are complementary angles wherein the measure of their angles add up to 90°, we can establish the following equation:

m < 1 + m < 2 = 90°
x° + 48° + 2x° = 90°

Combine like terms:
48° + 3x° = 90°

Subtract 48° from both sides:

48° - 48° + 3x° = 90° - 48°

3x = 42°

Divide both sides by 3 to solve for x:

3x/3 = 42/3

x = 14°

Plug in the value of x into the equation to fins m< 1 and m < 2:

m < 1 + m < 2 = 90°
(14° + 48°) + 2(14)° = 90°
62° + 28° = 90°

90° = 90° (True statement)

Therefore:

m < 1 = 62°
m < 2 = 28°
6 0
3 years ago
Which of the following is equivalent to sec2θ−1sec2θ for all values of θ for which sec2θ−1sec2θ is defined?
galina1969 [7]

Answer:

2 sin^2 \theta

Step-by-step explanation:

According to the scenario, the following information is given:

= \frac{sec^2 \theta - 1 }{sec^2 \theta}

= (\frac{1}{\frac{cos^2\theta}{\frac{1}{cos^2\theta} }} - 1)

= 1 - cos^2\theta\\\\= 1 - (1 - 2 sin^2 \theta)\\\\= 2 sin^2 \theta

Therefore for the given equation, the answer is 2 sin^2 \theta

5 0
3 years ago
A number written in the form of p by Q is called​
Vsevolod [243]

Answer:

Rational number

Step-by-step explanation:

If a number is expressed in the form of p/q then it is a rational number. Here p and q are integers, and q is not equal to 0. A rational number should have a numerator and denominator.

6 0
3 years ago
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