3 lines are shown. A line with points M, H, K intersects with a line with points J, H, L at point H. Another line extends from p
oint H to point N in between angle K, H, J. Angle M H L is (3 x + 20) degrees, angle K H N is (x + 25) degrees, and angle J H N is (x + 20) degrees. What is the measure of AngleJHN? 25° 45° 50° 95°
2 answers:
Answer:
Option B.
Step-by-step explanation:
Given information: ∠MHL=(3x+20), ∠KHN=(x+25), and ∠JHN=(x+20).
We need to find the measure of ∠JHN.
(Vertical opposite angles)
Substitute the given values.
The value of x is 25. So, the measure of ∠JHN is
The measure of ∠JHN is 45°.
Therefore, the correct option is B.
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Answer:
Step-by-step explanation:
The Given question is INCOMPLETE as the statements are not provided.
Now, let us try and solve the given expression here:
The given expression is:
Now, the BINOMIAL EXPANSION is the expansion which describes the algebraic expansion of powers of a binomial.
Here,
or, on simplification, the terms of the expansion are:
The above statement holds for each n > 0
Hence, the complete expansion for the given expression is given as above.
Answer:
2/7 or 0.2857
Step-by-step explanation:
The expected time before the first bulb burns out (two bulbs working) is given by the inverse of the probability that a bulb will go out each day:
The expected time before the second bulb burns out (one bulb working), after the first bulb goes out, is given by the inverse of the probability that the second bulb will go out each day:
Therefore, the long-run fraction of time that there is exactly one bulb working is:
There is exactly one bulb working 2/7 or 0.2857 of the time.