Answer:
2/3
Step-by-step explanation:
2/9+4/9
The denominator is the same, so we add
6/9
Divide the top and bottom by 3
2/3
Answer: Factorization of 6x + 120 = 6(x+20)
Factors = 6 and x+20
Step-by-step explanation:
Given: The expression 6x + 120 represents the total amount in the account after 6 months.
We need to factor the expression 6x + 120
We can write this as
6 x + 6 (20)
Common factor = 6 in both terms
So, 6 x + 6 (20) = 6(x+20)
Hence, Factorization of 6x + 120 = 6(x+20)
let's bear in mind that Y is a bisecting point, so it's really cutting XZ into two equal halves.
![\bf \underset{\textit{\Large 18x-6}}{\boxed{X}\stackrel{12x}{\rule[0.35em]{14em}{0.25pt}} Y\stackrel{12x}{\rule[0.35em]{14em}{0.25pt}}\boxed{Z}} \\\\\\ 12x+12x = 18x-6\implies 24x=18x-6 \\\\\\ 6x=-6\implies x=\cfrac{-6}{6}\implies x=-1](https://tex.z-dn.net/?f=%5Cbf%20%5Cunderset%7B%5Ctextit%7B%5CLarge%2018x-6%7D%7D%7B%5Cboxed%7BX%7D%5Cstackrel%7B12x%7D%7B%5Crule%5B0.35em%5D%7B14em%7D%7B0.25pt%7D%7D%20Y%5Cstackrel%7B12x%7D%7B%5Crule%5B0.35em%5D%7B14em%7D%7B0.25pt%7D%7D%5Cboxed%7BZ%7D%7D%20%5C%5C%5C%5C%5C%5C%2012x%2B12x%20%3D%2018x-6%5Cimplies%2024x%3D18x-6%20%5C%5C%5C%5C%5C%5C%206x%3D-6%5Cimplies%20x%3D%5Ccfrac%7B-6%7D%7B6%7D%5Cimplies%20x%3D-1)
Answer:
I got C and D, I'm not sure if there's an option for both. It's most likely C however,
Step-by-step explanation:
<h3>
Answer: x = 7</h3>
Explanation:
Segment addition postulate
CD+DE = CE
this basically is the idea of gluing smaller pieces together to get a larger structure. We can go in reverse to break up a large item into smaller bits. This is assuming there is no leftovers, overlaps, or parts wasted/lost.
CD = 9
DE = 3x+6
CE = 36
----
CD+DE = CE
9+3x+6 = 36
3x+15 = 36
3x = 36-15
3x = 21
x = 21/3
x = 7
-----
If x = 7, then
DE = 3x+6 = 3*7+6 = 21+6 = 27
and
CD+DE = 9+27 = 36 = CE
confirming our answer
