Question

I need the answer to this pleasee!! & please explain!! (#7)

Answer 1

Don't know the answer

Answer 2

So, Cafe 103 is the same distance from Metrics School as it's from Angles Lab, meaning, the distance form Metrics School to Cafe 103 is, the same distance from Angles Lab to Cafe 103.

That simply means that Cafe 103 is right in the middle of the road between Metrics School and Angles Lab, and that simply means, Cafe 103 is the Midpoint of both of them.

so if (4,6) is one endpoint and the midpoint is at (7,2), what's the other endpoint?

$\bf \textit{middle point of 2 points }\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 4}}\quad ,&{{ 6}})\quad % (c,d) &({{ x}}\quad ,&{{ y}}) \end{array}\qquad % coordinates of midpoint \left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right) \\\\\\ \left(\cfrac{x+4}{2}~,~\cfrac{y+6}{2} \right)=\stackrel{Cafe~103}{(7,2)}\implies \begin{cases} \cfrac{x+4}{2}=7\\\\ x+4=14\\ \boxed{x=10}\\ ------\\ \cfrac{y+6}{2}=2\\\\ y+6=4\\ \boxed{y=-2} \end{cases}$