Mickey is playing a fantasy video game. He wants to buy two broadswords and four axes for his character, for a total of 26 gold coins. Mickey
accidentally enters the purchase as four broadswords and two axes, for
which he is charged 28 gold coins. How many gold coins would Mickey be
charged for a purchase of one broadsword and one axe?

XY = 2 units

Step-by-step explanation:

Given that :

ΔEFG ≅ ΔXYZ

Then, segments :

EF = XY, FG = YZ and EG = XZ

GIVEN THAT :

E (0, 0), F (0, 2), and G (3, 0)

We can find the distance between coordinates E (0, 0), F (0, 2) to get the measure of XY since they are both congruent.

EF = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

x1 = 0, y1= 0, x2 = 0, y2 = 2

EF = sqrt[(0 - 0)^2 + (2 - 0)^2]

EF = sqrt[ 0 + 4]

EF = 2

SINCE EF = XY

XY = 2 units