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:
(4,-2.5)
Step-by-step explanation:
first one is x cordination...it is under the 4
second one is Y cordination..its between -2 and -3
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Answer:
Dont count me if I'm wrong but if you divide 225 by 30 you get 7.5
So your answer should be 7.5
We apply our knowledge in variation.
The solution can be seen in the photo
Answer:
1. a/2b 2. 5/6 3. x-1/2 4. y-5/y+5 5. x+5/x-1
Step-by-step explanation: