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:
-7 4/5 or -7.8
Step-by-step explanation:
Product means multiplication
( - 13/8 )( 24/5)
= (-13 · 24)/(8 · 5) negative · positive = negative
= - 312/40
= -7 32/ 40 = -7 4/5 or 7.8
Answer:
80
Step-by-step explanation:
Hello!
First of all you look at how many X's the line moves by, in this case it is -3
Then you look at how many y's the line moves by, in this case it is -2
Then you add together the number of X's moved and the number of y's moved:
-3x + -2y
( adding a negative number is the same as subtracting that number)
thus the answer is A. -3x-2y
Hope This helps! :)
Answer:
Option D, 
Step-by-step explanation:
<u>Step 1: Subtract 8 from both sides
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Answer: Option D, 