Question

Geometry Values of a Kite

Answer 1

Answer:

x=7

y=18

The length of each of the two shorter sides is 14.

The length of each of the two longer sides is 19.

Step-by-step explanation:

2x+5 = x+12 and y-4 = x+5

Solve for x first

2x+5-5 = x+12-5 Subtract 5 from both sides to eliminate it.

2x-x = x-x+7 Subtract x from both sides to eliminate it.

x=7 Now, substitute 7 for x in y-4 = x+5 to solve for y.

y-4 = (7)+5

y-4 = 12

y-4+4 = 12+4 Add 4 to both sides to eliminate it.

y = 18

Finally, we can substitute 7 for x and 18 for y in all equations to see the lengths of each side.

(18)-4=14 The length of each of the two shorter sides is 14.

2(7)+5=19 The length of each of the two longer sides is 19.