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Lapatulllka [165]
3 years ago
10

The lengths of the sides of a triangle are consecutive odd integers. If the perimeter is 1 less than 4 times the shortest side,

find the length of each side
Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
4 0
Let the shortest side be x.  Then the other two sides will be x+1 and x+2.

Perimeter = P = sum of the lengths of all three sides = x  +  (x+1) + (x+2) 

This perimeter = 4x -1 (1 less than 4 times the shortest side).

Then x + x + 1 + x + 2 = 4x - 1
      or:        3x + 3         = 4x -1                 Subtr. 3x from both sides:
                                                                  3 = x - 1

x=4, x+1=5, and x+2=6

The 3 sides have lengths 4, 5 and 6.
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This is the example my teacher used. However, I still don't understand what makes the integers even or odd. I was hoping someone
kow [346]

Answer:

<h2>Here's what makes an integer odd:</h2>
  • It is NOT a multiple of 2.
  • When divided by 2, the quotient would be a decimal or have a remainder or fraction.

<h2>Here's what makes an integer even:</h2>
  • It is a multiple of 2.
  • When divided by 2, the quotient has a whole number.

<em>The odd numbers from one to 10 are: 1, 3, 5, 7, 9.</em>

<em>The even numbers from one to 10 are: 2, 4, 6, 8, 10. </em>

  • With big numbers, if it ends with any of the odd numbers from one to ten, listed above, it would be odd. This goes for the same with even.
<h2>With the x + 2, x + 4, etc:</h2>
  • An odd number and even number has a pattern....

[odd, even, odd, even, odd...] [1, 2, 3, 4, 5]

  • So, if x was an odd number, adding it by 2, 4, 6, etc. will result in another odd number.

Here's an example:

x= 17\\x + 2 = ?\\(17) + 2 = 19

<em>See how x is an odd number and the sum of the number and two makes another odd number? </em>

The same can go with an even number:

x=2\\x + 6 = ?\\(2) + 6= 8

<em>See how x is an even number and the sum of the number and six makes another even number? </em>

I hope my answer helps you understand even and odd numbers.

6 0
3 years ago
The larger of two numbers is 12 more than the smaller their sum is 84 find the numbers
dedylja [7]
EXPLANATION:
Let the smaller no. be x.
Therefore, The bigger no. = x+12

x + 12 + x = 84
=> 2x = 84-12
=> x = 72/2
=> x = 36

ANSWER: The two numbers are (36+12) 48 & 36

Hope it helps u!
4 0
2 years ago
Read 2 more answers
Can someone please help with this asap its worth a lot of points. (: !!!
ladessa [460]

Answer:

8...the value of d variable =45 degree

corresponding angles are equal(reason)

9.

8 0
3 years ago
Read 2 more answers
the price of an antibiotic in one drugstore is $19.50 and $16.25 in another write the ratio of the prices
damaskus [11]
Remember that ratios are essentially fractions without fraction bars...

If they asked to find the ration of 19.50 to 16.25 you would set them up like so....

19.50 : 16.25      -----> since fractions can be simplified so can ratios in the same manner

the ratio you would end up with is <u>6 : 5</u><u />   

Ratios can be easily remembered and solved if you understand the link between them and fractions. 

I hope this helps! :D

<u>Please vote me for Brainliest if there is a second answer! </u>
8 0
3 years ago
ABF = EDG. GCF are equilateral. AG = 21 and CG 1/4 Find the total distance from A to B to C to D to E.
hjlf

The information given in the triangle shows that the total distance from A to B to C to D to E will be C. 84.

<h3>How to calculate the triangle?</h3>

From the information given, ABF = EDG, GCF are equilateral and AG = 21 while CG = 1/4.

The total distance from A to B to C to D to E will be:

= 21/CG

= 21 / 1/4

= 21/0.25

= 84

In conclusion, the correct option is 84.

Learn more about triangles on:

brainly.com/question/17335144

3 0
3 years ago
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