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:
Nestor can pot 6 plants in 1 hour.
Step-by-step explanation:
first lets convert 2 1/2 hours in mixed fraction form for better calculation
2 1/2 hours = (2*2 + 1)/2 = 5/2 hours
no of plants pot in 5/2 hours = 15
to find no. of plants pot in 1 hours lets
divide both side by 5/2
no of plants pot in 5/2/(5/2) hours = 15/(5/2) = 15*2/5 = 6
no. of plants pot in 1 hour = 6
Thus, Nestor can pot 6 plants in 1 hour.
10^2 since 10(10) = 100 and 10 is multiplied by itself twice.
Answer:
(-3,-12)
Step-by-step explanation:
Multiply the first equation by three to match the second equations y-term
The y-terms cancel out
Add the x-terms with each other and the terms after the equal sign as well
Divide -57 by 19
Input your x-term (-3) into one of the two first equations and multiply
Either:
Simplify your terms
Divide
The answer is: [C]: "Astrologers do not use the scientific method."
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Note: Choice [A] is incorrect. Astrologers do use tools.
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Choice [B] is incorrect. Some astrologers do observe the universe.
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Choice [D] is incorrect. Astrologers may or may not go to college; and whether or not they do or do not is irrelevant as regard to whether to they are considered "scientists".
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