 Let's do the second question Let's so let's get rid of all this information except for The stuff that we knew that wasn't related to the problem for the first for the first question, right? So Let's just clear this up Also when you're doing geometry super important that If you when you're starting out do the stuff in pencil because you're gonna end up erasing a lot of things If you did this in pen if you do every single problem in pen When you move on to the second part of a problem you're gonna have to recreate the original and Every time you do a carbon copy of something every time you copy down Something from one place there's more chances of an error So you don't want to continuously rewrite the same thing what you want to do is lay out the problem and Solve for all the different parts of the question on your base Okay, it's just basically making carbon copies if you make copy of a copy of a copy of a copy of a copy you end up losing The details, okay, and that's exactly say what it works with math So let's go to part two if C e is Q and this line by the way up here between the two letters means if Line C e is Q Then solve for a b and a e so let's figure out where a C is a e is a e Q So from here to here, they're telling us this is Q Okay, we want to solve for a b. Here's a b and We want to solve for a e A e so we want to go back here and solve for this guy as well Let's put a question mark there and let's put this an upright question mark so C e is Q now. What was our relationship? This guy was equal to this guy and we knew Unfortunately erased it, but we knew I shouldn't have erased it that this guy was equal to this guy because D Was the midpoint of B and E so if that's The link that's the link is the same link, right? Now take a look at this if that's the same length as that This guy is the same as that so this guy is the same as that so if we put a tick here This guy breaks down into the same piece as this so the length here must be equal to the length there and this is the Main thing that you have to realize to be able to solve the second part of this question This guy was the same length as that guy and if you can break this guy into two pieces Then you break this guy into two equal pieces and this guy would equal that guy which equals that guy So if they're telling us the length from here to here is Q Then what's each one of these guys? Well each one of these guys is going to be Q the whole thing divided by 1 2 3 So each one of these is going to be Q divided by 3 so Q over 3 Q over 3 Q over 3 Now you don't have to write it out three times all you got to know is one of them is Q over 3 When we laid out the problem at the beginning We knew that this guy was equal to that guy so if that's Q over 3 That guy's Q over 3 it has to be So again, we just solve For the first part of the second question. That's Q over 3. Well, what's the length from a to e? Let's take a look at this thing. We have 1 2 3 4 5 Q's over 3 so this becomes 5 times Q over 3 which is 5 Q over 3 So the link from a to e is 5 Q over 3 Again, this becomes super powerful because this is Applies for any number they put put on there for Q. So for example if they had Let's say this was 12 Okay If that was 12 that would have meant Q the length from there to there was 12 and This was broken into three equal segments. So each one of these would have been four, right? Agreed. So if we plugged it into the question here, it would be Q over 3 12 divided by 3 is 4 12 divided by 3 is equal to 4 right and then how many of these that we have we have five of these guys So 5 times 4 is 20 and if we plug it in here 5 times 12 over 3 Well 12 goes into 3 goes into 12 4 times 5 times 4 is And that's the power of solving problems with variables