A: One solution- a=11 b=5
B: Has no solution- a=10 b=5
C: Infinite solution- a=10 b=-8
Answer:

Step-by-step explanation:
Given:
KL ║ NM ,
LM = 45
m∠M = 50°
KN ⊥ NM
NL ⊥ LM
Find: KN and KL
1. Consider triangle NLM. This is a right triangle, because NL ⊥ LM. In this triangle,
LM = 45
m∠M = 50°
So,

Also
(angles LNM and M are complementary).
2. Consider triangle NKL. This is a right triangle, because KN ⊥ NM . In this triangle,
(alternate interior angles)
(angles KNL and KLN are complementary).
So,

and

Answer:
Cora's spend will be = $ 16.66
Step-by-step explanation:
Let y be the amount Ben spent
As Ava spent three times Ben will be 3y and half as much Cora(2y)
so the equation becomes
y + 2y + 3y = 50
6y = 50
y = 50/6
y = 8.33
So Cora's spend will be : 2y = 2(8.33) = 16.66 units currency
Note: if currency is in $
Then Cora's spend will be = $ 16.66