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galben [10]
3 years ago
12

How many diagonals does a polygon with 32 sides have?

Mathematics
1 answer:
Aleks04 [339]3 years ago
6 0
494 diagonals in this polygon
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If the sum of -4 and the opposite of a number is multiplied by -3, the result is 6 less than the product of the number and 2. Wh
Igoryamba

-3 (-4 + -x ) = (-4(x) × 2 ) + 6

-3 (-4-x) = (-4x × 2) + 6

-12 + 3x = -8x + 6

3x - 12 = 6 - 8x

add 8x on both sides

11x - 12 = 6

add 12 on both sides

11x = 18

<em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>1</u></em><em><u>1</u></em><em><u>/</u></em><em><u>1</u></em><em><u>8</u></em>

3 0
3 years ago
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An acute triangle has two sides measuring 8 cm and 10 cm. What is the best representation of the possible range of values for th
Lunna [17]

Answer:

Step-by-step explanation:

Method

The smallest the third side can be is something just larger than 2

You get 2 by subtracting10 and 8. The third side is just a bit larger. 8 and 2 will make up the length of 10 so you cannot use 2 itself

The largest value possible is just under 18. You get 18 by adding 8 and 10 together. So to get a triangle, you need just under 18.

Answer

2<s<18

A

6 0
2 years ago
Aiden wants to find the mass of a bowling ball. which unit should he use?
olya-2409 [2.1K]
He should use pounds!
because we know that bowling balls are not light enough to use ounces or grams. And they are not heavy enough to use tons. Usually when you go to bowling alleys they have different bowling balls because they all weigh different pounds :D
i hope this makes sense lol 
have a good one

merry christmas
3 0
3 years ago
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Which value of x makes the equation 8x + 38 = 2(11x + 5) true?
dangina [55]
8x+38=2(11x+5)
divide 2 from both sides
4x+19=11x+5
minus 4x from both sides
19=7x+5
minus 5 from both sides
14=7x
divide by 7
2=x

so x would be 2
3 0
3 years ago
Paco's cell phone carrier charges him $0.20 for each text message he sends or receives, $0.15 per minute for calls, and a $15 mo
Katarina [22]

Given:

Paco's cell phone carrier charges him $0.20 for each text message he sends or receives, $0.15 per minute for calls, and a $15 monthly service fee. Paco is trying to keep his bill for the month below $30.

To Find:

The number of texts 't' Paco can send/receive in a month.

Answer:

0\leq t

best describes the number of texts he can send or receive to keep his bill less than $30 in a month.

Step-by-step explanation:

Paco wants to keep is monthly bill below $30.

We see that he has to pay a foxed monthly service fee of $15. This means he is only left with a limit of $30 - $15 = $15 for his monthly calls and texts.

That is, the amount he has to pay for texting and calling has to be less than $15.

For texts, the cell phone carrier charges $0.20 for sending/receiving texts.

For calls, he is charged $0.15 per minute.

Let the number of text messages Paco can send or receive in a month be denoted by 't'.

Let the number of minutes Paco can call in a month be denoted by 'c'.

Then, the total cost of text messages he can send or receive per month would be 0.20t and the total cost of the minutes he spends on calls would be 0.15c. Together, the sum of these has to be less than $15 if his monthly bill has to be kept less than $30 (accounting for the monthly service fee).

So,

0.20t+0.15c

The number of texts he can send will dpend on the number of minutes he spends on his calls. For Paco to spend maximum number of texts, he has to spend 0 minutes on calls.

So, putting c = 0, the aboce equation can be written as

0.20t+0

That is, Paco has to send and receive less than 75 texts.

So,

0\leq t

best describes the number of texts he can send or receive to keep his bill less than $30 in a month.

3 0
3 years ago
Read 2 more answers
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