Answer:
The length of MN is 58 cm.
Step-by-step explanation:
In the given figure we can see that AM = MB
So, M is the mid point of AB.
Also, BN = NC ( Consider the given figure )
So, N is the mid point of BC.
Since M and N are the midpoints of AB and BC .
So, by mid segment theorem which sates that the segment joining the midpoints of any two sides of a triangle will be parallel to the third side of the triangle and half its length.
⇒ MN is parallel to AC
and
Thus , the length of MN is 58 cm.
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!