Answer:
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
If seven friends eat out and split a bill, we must first figure out how much each person would pay individually. To find this number, we need to divide the total bill by the total number of people. $100. 10/7 = 14.3, so each person payed $14.3 individually. If three friends only brought cash so they pay Henry to pay for their portion on credit card, then Henry would pay for those three friends and himself on a credit card, or just 4 times how much one of them payed. Since each of them payed 14.3, then to find out how much Henry payed on credit card, we need to multiply 14.3 by 4 which gives us our answer of $57. 12
Yea they are cuz they have the same side and angle measurements
