Y=1/5x is a linear function
Use the option number 5 and draw a parallel and perpendicular line across to make the slope of the lines collapse
Answer: t = 22
<u>Step-by-step explanation:</u>
Since GI is a midsegment of ΔHJK, then 2GI = JK
Given: GI = t + 11, JK = t + 44
2(t + 11) = t + 44
2t + 22 = t + 44
t + 22 = 44
t = 22
First we'll show this is a right triangle by the Pythagorean Theorem:




Since
we have a right triangle, by the (converse to the) Pythagorean Theorem. We also see it's isosceles, AB=AC.


That's the end of the homework but I'll go on a bit.
Another way to show perpendicularity, essentially the same as the other two, is by a zero as the dot product of the sides as vectors, differences between vertices.
Vector AB = B - A = (3,2)
Vector AC = C - A = (-2, 3)
AB · AC = 3(-2) + 2(3) = 0
A zero dot product means
AB ⊥ AC