Which is the image of ABC for a 90° counterclockwise rotation about P?
2 answers:
Answer:
The triangle DEF
Step-by-step explanation:
If we see triangle ABC then by observing then we can say BC is base, AC is perpendicular and AB is hypotenuse .
When we rotate triangle ABC counter-clock wise rotation about P then
Then base BC becomes perpendicular of triangle, AC becomes base of triangle and hypotenuse AB remains same .
We can see this process through diagram.
Hence, the final triangle we obtain after 90° rotation is look similar as triangle DEF
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Step-by-step explanation:
We need to say that is equivalent to what.
We know that, (3)² = 9
So,
We can write
And
So,
So, is equivalent to
.
Hence, this is the required solution.
Answer:
nth term =
Step-by-step explanation:
Let us assume that the given sequence is a G.P.
Now, if the first term of the G.P. is a and the common ratio is r, then
Third term = .......... (1) and
20th term = ........... (2)
Now, dividing equation (2) with equation (1) we get
⇒
⇒ r = 1.2.
Hence, from equation (1) we get
a(1.2)² = 11
⇒ a = 7.639 (Approx.)
Therefore, the general term of the sequence i.e. nth term = (Answer)