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.
Mai made 12 successful free throws.
Step-by-step explanation:
Given,
Free throws made by Mai = 49 free throw
Successful throws = 25%
Number of successful throws = 25% of free throws
Number of successful throws = 
Number of successful throws = 
Rounding off to nearest whole number;
Number of successful throws = 12
Mai made 12 successful free throws.
Keywords: percentage, division
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I think it is 21 and 50. The only common factor they have is 1.
All the others are divisible by 1 & 3.
Answer:
The percentage increased by approximately 5%.
Step-by-step explanation:
52.10 - 49.62 = 2.48
2.48/49.62 x 100 = 4.998%
The percentage increase in the price is approximately 5%. Hope this helps! :)
Let's make an equation. T will be the number.
(T+5)/4=7
Let's multiply both sides by 4 to get T by itself.
T+5=28
Subtract 5 from both sides.
T=23
Your number is 23.