(1) One side of a Rhombus measures 13 cm what is its perimeter
1 answer:
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We are asked to find the two integers, given that they are consecutive, and their sum is 65.
- Consecutive integers are right next to each other, like 12 and 13. or 65 and 66.
Let the first integer be x, and let the second integer be x+1.
Their sum is 65. Let's set up our equation:
Combine like terms:
Subtract 1 from both sides of the equal sign:
Divide both sides by 2:
To find the second integer, subtract the first integer from the sum of the two integers:
The integers are: 33 and 32.
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ANSWER
The correct answer is C .
<u>EXPLANATION</u>
We have
and
.
We solve the two equation simultaneously by elimination method. We need to be smart and eliminate y, since we are looking for .
We first multiply equation (2) by 2
.
We add equation (3) and (1).
.
Dividing through by 6 gives
.