ANSWERS
a. Yes, congruent. By SSS postulate
b. Yes, congruent. By AAA postulate
c. Yes, conguent. By SAS postulate
EXPLANATION
a. Sides MQ and MN are congruent as shown in the diagram. So are sides PN and PQ. Side PM is shared by both triangles so it must be congruent to both.
b. It is shown in the diagram which angles are congruent:
c. Angles DEC and AEB are <em>vertical angles</em> and they are therefore congruent. The two sides that form those angles are shown congruent in the diagram, so we have a side, the next angle and the next side: SAS postulate.
Answer:
If you lost something that you can't afford to lose, then it would greatly affect you. If you lost something that you can get again, then it wouldn't be as bad but it still would affect you. Say you invested your money into buying 30 stocks, each stock costed 12 dollars, and the next day it went down to 11.5. You only lost 15 dollars total. But if you spent your money on more stocks, you would have lost more money.
The graph of the function y = sin 0.5x is option A. This can be obtained by using period of the graph function.
<h3>Which is the required graph?</h3>
Periodic function is a function that repeats at uniform intervals; the time interval between two waves is called the period.
- A function f will be periodic with period n,
f (a + n) = f (a), ∀ n > 0.
After first n the function is same that is f(a), after second function is the same, the function is repeated with an interval of n.
- For example: the period of sin a is 2π for the reason that the smallest number satisfying sin (a + 2π) = sin a is 2π, for all a.
Therefore the formula for period of a function is 2π/|B| when the function is y = A sin(Bx + C) and y = A cos(Bx + C).
For a function y = sin bx, period is given by,
P = 2π/b
Here function is y = sin 0.5x, therefore b = 0.5
P = 2π/0.5
=20π/5
= 4π
Period is 4π. The first graph has period 4π.
Hence the graph of the function y = sin 0.5x is option A.
Learn more about period of graph:
brainly.com/question/19500808
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Disclaimer: The question was given incomplete on the portal. Here is the complete question.
Question: Which could be the graph of the function y = sin 0.5x?
Answer:
Option D. is the correct choice.
Step-by-step explanation:
f(x) - g(x) = x^1/2 - x - 2x^3 + x^1/2 + x
= - 2x^3 + 2x^1/2
Best Regards!
I know its is 3,000 cause its said unit period