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Vesna [10]
3 years ago
15

The five interior angles in a  pentagon are in the ratio 2:3:4:5:6. What is the measure of the pentagon's largest angle?

Mathematics
1 answer:
zmey [24]3 years ago
5 0
Let All angles be x times multiplied to ratio , so we"ll get :-

2x + 3x + 4x + 5x + 6x = 540°

20x = 540

x = 540/20

⇒ x = 27 ,

so angles are :-

⇒ 2x = 2×27 = 54°

⇒ 3x = 3×27 = 81°

⇒ 4x = 4×27 = 108°

⇒ 5x = 5×27 = 135°

⇒ 6x = 6×27 = 162°

Hence 162° is the greatest angle
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Please ..........help me ​
Ad libitum [116K]

Answer:

First statement: 10 road workers take 5 days to complete a work, working 2 hours a day.

Let us calculate how many days 2 workers will need, if they were to work at the same pace (i.e. each working 2 hours a day). The workforce is now decreased to 2 divided by 10 = 1/5 (i.e. one-fifth).

Therefore proportionately, the time will increase to 5 days divided by 1/5, (i.e. 5 / (1/5) = 25 days.

We now know that 2 workers will need 25 days to finish the work, if they work for 2 hors a day.

Now the question is what will happen if the two people work 5 hours per day, instead of 2 hours per day?

The labor they put in has increased to 5 divided by 2 = 2.5 (i.e. 2 and half times).

Consequently, the time needed to finish the work will decrease to 25 divided by 2.5 (i.e. ( 25 / 2.5 ) = 10. days.

The answer : 10 Days.

6 0
3 years ago
What are two partial products you would add to find 21 x 509?​
Mama L [17]
45 and 63.9 I believe
3 0
3 years ago
Which would be a good estimate for the tax on $97.95 if the tax is 9.5%?
Ahat [919]
It would be $10. There is a formula to this "madness". Divide $97.95 by 9.5%. Ignore the rest of the numbers. (I'm pretty sure it has like 7 or 8, but I only went up to 3. Just make sure you have have the whole number, $10). Hope this helps.
7 0
3 years ago
Read 2 more answers
Mrs browns class can earn 5 minutes of extra recess for each marble she puts in a jar. The class has 15 minutes of recess each m
melomori [17]
Mrs. Brown's class will earn 30 minutes of recess.
7 0
3 years ago
Don’t answer if you don’t know !!
DochEvi [55]

Answer:

72 sides

Step-by-step explanation:

The sum of the angles of a polygon with n sides is (n−2) × 180

Since the polygon is regular, we can divide by the number of sides to find the measure of each angle (n−2) × 180 / n

Each angle is equal to 175

(n−2) × 180 / n = 175

Multiply each side by n

(n-2)180 = 175n

Distribute

180n -360 = 175n

Subtract 180n from each side

180n-180n-360 = 175n-180n

-360 = -5n

Divide each side by -5

-360/-5 =-5n/-5

72 = n

There are 72 sides

3 0
3 years ago
Read 2 more answers
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