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Sloan [31]
3 years ago
6

Which of the following sets of numbers could be the lengths of the sides of a triangle? A. 81 mm, 7 mm, 6 mm B. 81 mm, 7 mm, 72

mm C. 81 mm, 7 mm, 88 mm D. 81 mm, 7 mm, 77 mm
Mathematics
1 answer:
Lisa [10]3 years ago
3 0
We know that
The triangle inequality<span> states that for any </span>triangle, t<span>he sum of the lengths of any two sides of a </span>triangle<span> is greater than the length of the third side
</span>so
case <span>A. 81 mm, 7 mm, 6 mm 
6+7 is not > 81

case </span><span>B. 81 mm, 7 mm, 72 mm
72+7 is not > 81

case </span><span>C. 81 mm, 7 mm, 88 mm
81+7 is not > 88

case </span><span>D. 81 mm, 7 mm, 77 mm
81+7 is > 77------> ok
77+7 is > 81-----> ok
81+77 is > 7-----> is ok

the answer is the option
</span>D. 81 mm, 7 mm, 77 mm
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Pythagorean theorem help meeeeee!!
agasfer [191]

Answer:

25

Step-by-step explanation:

remember that the pythagorean theorem is a²+b²=c²

so this equation would be:

7²+24²=c²

solve the exponents

49 + 576 = c²

combine like terms

625 = c²

take the radical of each number

√625 = √c²

25 = c

have a lovely day <3

3 0
3 years ago
The sum of a two digit number and the number obtained by interchanging the digits is 132. If the two digits differ by 2, find th
damaskus [11]

Answer:

A two-digit number can be written as:

a*10 + b*1

Where a and b are single-digit numbers, and a ≠ 0.

We know that:

"The sum of a two-digit number and the number obtained by interchanging the digits is 132."

then:

a*10 + b*1 + (b*10 + a*1) = 132

And we also know that the digits differ by 2.

then:

a = b + 2

or

a =  b - 2

So let's solve this:

We start with the equation:

a*10 + b*1 + (b*10 + a*1) = 132

(a*10 + a) + (b*10 + b) = 132

a*11 + b*11 = 132

(a + b)*11 = 132

(a + b) = 132/11 = 12

Then:

a + b = 12

And remember that:

a = b + 2

or

a = b - 2

Then if we select the first one, we get:

a + b = 12

(b + 2) + b = 12

2*b + 2 = 12

2*b = 12 -2 = 10

b = 10/2 = 5

b = 5

then a = b + 2= 5 + 2 = 7

The number is 75.

And if we selected:

a = b - 2, we would get the number 57.

Both are valid solutions because we are changing the order of the digits, so is the same:

75 + 57

than

57 + 75.

6 0
3 years ago
The camp will pay you $48.23 each day for 8 weeks. If you work 5 days each wee , how much money will you make this summer ?
AlekseyPX

Answer:$1,929.20

Step-by-step explanation:First off, I noted that the answers are pretty far apart so I rounded up to $50 to make it simpler (you should only do this if the answers are pretty far apart from one another.)

$50 per day × 5 days per week × 8 weeks = $2,000. Closest answr (because I rounded) is $1,929.20.

3 0
3 years ago
Read 2 more answers
Please heeeeeeeeelp! Ill give brainliest!
Alinara [238K]

Step-by-step explanation:

ok so as u know the angles of a triangle add up to 180.

So we will be using that for help.

S+R+T=180

12x+13x+12x-4+2-3=180

37x-5=180

37x=185

x=5

Now we will plug in the value for x to find each angle

S= 13(5)-4

=61

T=12(5)-3

=57

R=12(5)+2

=62

Hope this helped:)

8 0
3 years ago
Read 2 more answers
Find the sum to infinity​
boyakko [2]

Answer:

-7/27

Step-by-step explanation:

-14/54

Hope this helped :)

6 0
3 years ago
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