F is number of frogs sold
p is number of Popsicles sold
6f+1.5p=94.50
f+p=36
Rearrange
p=36-f
Substitute
6f+1.5(36-f)=94.5
Reduce
6f+54-1.5f=94.5
4.5f=40.5
F=9
Substitute
9+p=36
P=27
George sold 27 Popsicles and 9 Frogs
Explanation: The given triangles are similar by Angle-Angle postulate, because all three pairs of corresponding angles are congruent.
This line crosses the point (4,5)so we can make an equation to find the slope:
hope this helps
2 (n+1) + n² + 4 (n-3)
= 2n + 2 + n² + 4n - 12 ...expand by using distributive property
= n² + 6n - 10 ...combine like terms
hope it helps