4. Square ABCD is shown. What is the length of diagonal AC? Round to the nearest tenth, if necessary.
1 answer:
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Answer:
43 and 5
Step-by-step explanation:
Let's let the two unknown numbers be a and b.
Their sum is 48, therefore:
And their difference is 38. In other words:
We now have a system of equations. To solve, we can use substitution. First, add b to both sides in the second equation:
Substitute this into the first equation:
Combine like terms:
Subtract 38 from both sides:
Divide both sides by 2:
So, one of the numbers is 5.
The sum of them is 48. Therefore, the other number is 48-5 or 43.
So, our two numbers are 43 and 5.
And we're done!