Answer:
She babysitted for 4 hours.
Step-by-step explanation:
1.50x + 10 = 16
1.50x = 6
x = 4
Hope this helps!
x => Hamburgers
y => Hot dogs
x + y = 26
3.5x + 2y = 70
-2x - 2y = -52
3.5x + 2y = 70
-----------------------
1.5x = 18
x = 18 / 1.5 = 12
y = 26 - 12 = 14
They sold 12 hamburgers and 14 hot dogs
Distance from J to F = b
D from F to K = a
a^2+b^2=JK^2
D from K to G = a
D from G to L = b
a^2+b^2=KL^2
D from L to H = b
D from H to M = a
a^2+b^2=LM^2
D from M to E = a
D from E to J = b
a^2+b^2=MJ^2
For each side, I used the Pythagorean theorem (a^2+b^2=c^2) to find the length. Since every side of the quadrilateral squared (aka to the power of two) equals a^2+b^2, every side squared equals each other. So JK^2=KL^2=LM^2=MJ^2. If you take the square root of each side of the equal signs, you’re left with JK=KL=LM=MJ. In order for a quadrilateral to be a rhombus, each side must be equivalent. Each side in this quadrilateral is equivalent, therefore it is a rhombus.