Answer:
By comparing the ratios of sides in similar triangles ΔABC and ΔADB,we can say that 
Step-by-step explanation:
Given that ∠ABC=∠ADC, AD=p and DC=q.
Let us take compare Δ ABC and Δ ADB in the attached file , ∠A is common in both triangles
and given ∠ABC=∠ADB=90°
Hence using AA postulate, ΔABC ≈ ΔADB.
Now we will equate respective side ratios in both triangles.

Since we don't know BD , BC let us take first equality and plugin the variables given in respective sides.

Cross multiply

Hence proved.
Answer: L ≈ 2.0 m
Step-by-step explanation:
Lsin40 = h
Lsin55 = h + 0.35
Lsin55 = Lsin40 + 0.35
Lsin55 - Lsin40 = 0.35
L(sin55 - sin40) = 0.35
L = 0.35 / (sin55 - sin40)
L = 1.98452 ≈ 2.0 m
3√(-50) = 3√(-1*50)=3i√(25*2) = 3*5i√2=15i√2
Answer:
11
Step-by-step explanation:
First, find how much a token costs.
4.40 ÷ 8 = .55
Then divide 6.05 by .55 to get 11.
Answer:
45
Step-by-step explanation: