Question

What is the length of DC if DC = 5n + 12, CE = 4n + 15,
and DE = 36?

D__________C____________E

Answer 1

To find the length of DC, we can set up an equation using the given values.

DC = DE - CE

Since DC = 5n + 12, CE = 4n + 15, and DE = 36:

5n + 12 = 36 - (4n + 15)
5n + 12 = 36 - 4n - 15
5n + 12 = 21 - 4n
9n = 9
n = 1

Now that we have found the value of n, we can substitute it back into the equation for DC to find the length of DC.

DC = 5(1) + 12
DC = 5 + 12
DC = 17

Therefore, the length of DC is 17 units.