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:

Step-by-step explanation:
First let's find the value of 'p-q':

To find |p-q| (module of 'p-q'), we can use the formula:

Where 'a' is the coefficient of 'i' and 'b' is the coefficient of 'j'
So we have:

Now, we need to find the module of p and the module of q:

Then, evaluating |p-q|-{|p|-|q|}, we have:

Answer:
21, 24, 27, 30, 33, 36, 39.
Step-by-step explanation:
your answer would be (2,3)
5 equals 5/1. Simple as that.