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.
Step-by-step explanation:
(x - 8) (x + 8) = x² - 64
because
x² + 8x - 8x - 64
(a⁵)^-1 = 1/(a⁵)
that is the definition of a negative exponent. it means 1/...
Answer:
is that 14 or 1/4?
Step-by-step explanation:
You do -2 plus 4. Answer is 2.
Then do 2-(-2) which is 0.
The final answer is 2.
Answer:

Step-by-step explanation:
Use the midpoint formula:

We want to find the midpoint of the line
that has endpoints.

We simplify to get;

This finally gives:

The correct answer is A.