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2 years ago

An angle measures 62.4° more than the measure of its supplementary angle. What is the measure of each angle?

Mathematics

1 answer:

Klio2033 [76]2 years ago

5 0

Answer:

Step-by-step explanation:

If an angle measures x degrees, the measure of its supplement is (180-x) degrees.

This means that x-62.4 = 180-x, meaning that x=121.2.

So, the angles are 121.2 and 58.8 degrees.

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A prize was awarded to 24 women and 1130 men. a. What fraction of the prize winners were women? b. What fraction were men?

Brums [2.3K]

a) The fraction of women is $\frac{12}{577}$

b) The fraction of men is $\frac{565}{577}$

Step-by-step explanation:

In this part of the problem, we are asked to find what fraction of the prize winners are women.

We have:

$w=24$ (number of prizes awarded to women)

$m=1130$ (number of prizes awarded to men)

First of all, we calculate the total number of prizes awarded:

$p=w+m=24+1130=1154$

Now we find the fraction of prize winners who were women, which is given by:

$p(w) = \frac{w}{p}=\frac{24}{1154}$

And we can simplify by dividing both numerators and denominators by 2,

$p(w)=\frac{24}{1154}=\frac{12}{577}$

The total number of prizes awarded is

$p=1154$

The number of prizes assigned to men is

$m=1130$

Therefore, the fraction of prize winners who were men is

$p(m)=\frac{m}{p}=\frac{1130}{1154}=\frac{565}{577}$

where we simplified the fraction by dividing both the numerator and the denominator by 2.

Learn more about fractions:

brainly.com/question/605571

brainly.com/question/1312102

#LearnwithBrainly

8 0

3 years ago

Please HELP! A. B. C. D

pickupchik [31]

Answer:

if that line follows y=mx...then answer is A

But it seems not....when we divided valuse like 60/2=30

75/3=25....

ratio is not the same

Its hard to tell....You must know exact cordinations

I can tell you this

I can say this if y=60 and x=2 and....y=120 and x=4...then it is propotional...but it seems not..

3 0

3 years ago

Model and solve linear equations Solve this. 50 + 0.25w = 25 + 0.50w

gavmur [86]

50 = 25 + 0.50w - 0.25w
50 = 25 + 0.25w
50 - 25 = 0.25w
25 = 0.25w
25/0.25 = w
w = 100.

8 0

3 years ago

What expression is equivalent to 3(x-2)+2x

WINSTONCH [101]

Answer:5x - 6

Step-by-step explanation:

4 0

3 years ago

Sofia is driving to Texas. She travels at 70 kilometers per hour for 2 hours, and 63 kilometers per hours for 5 hours. Over 7 ho

Vladimir79 [104]

Answer:

65 kph

Step-by-step explanation:

There were a total of 7 hours. So two hours were at 70 and the other 5 hours at 63: the equation would be: (70+70+63+63+63+63+63)/7=65

4 0

3 years ago