Answer soon ! question and answers are in the photograph attached.

Δ MLP  ~  Δ HKG

By S-A-S similarity Postulate.

Step-by-step explanation:

Given:

In Δ MLP

MP = 20 ,

LP = 15

∠ P = 42°

In Δ HKG

HG = 16 ,

KG = 12

∠G = 42°

To Prove:

Δ MLP ~Δ HKG

Proof:

In Δ MLP and Δ HKG

..........( 1 )

 ..............( 2 )

∴ ...From 1 and 2

       ∠P ≅ ∠ G = 42°          ...............Given

∴ Δ MLP ~Δ HKG ......{ By S-A-S similarity test}............Proved

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x