Answer:
Option (B)
Step-by-step explanation:
From the picture attached,
NL and KM are the two lines intersecting at a point P.
Therefore, ∠KPN ≅ LPM [Vertical angles]
In ΔPLM,
m∠LPM + m∠PML + m∠PLM = 180° [Property of a triangle]
m∠LPM + 70° + 60° = 180°
m∠LPM + 130° = 180°
m∠LPM = 180° - 130°
m∠LPM = 50°
Therefore, m∠KPN = 50° [vertical angles]
Option (B) will be the correct option.
Answer:
D has the most amount of people who haven't even read at all
Step-by-step explanation:
One nice thing about this situation is that you’ve been given everything in the same base. To review a little on the laws of exponents, when you have two exponents with the same base being:
– Multiplied: Add their exponents
– Divided: Subtract their exponents
We can see that in both the numerator and denominator we have exponents *multiplied* together, and the product in the numerator is being *divided* by the product in the detonator, so that translates to *summing the exponents on the top and bottom and then finding their difference*. Let’s throw away the twos for a moment and just focus on the exponents. We have
[11/2 + (-7) + (-5)] - [3 + 1/2 + (-10)]
For convenience’s sake, I’m going to turn 11/2 into the mixed number 5 1/2. Summing the terms in the first brackets gives us
5 1/2 + (-7) + (-5) = - 1 1/2 + (-5) = -6 1/2
And summing the terms in the second:
3 + 1/2 + (-10) = 3 1/2 + (-10) = -6 1/2
Putting those both into our first question gives us -6 1/2 - (-6 1/2), which is 0, since any number minus itself gives us 0.
Now we can bring the 2 back into the mix. The 0 we found is the exponent the 2 is being raised to, so our answer is
2^0, which is just 1.
The sum of the terms of a geometric sequence with common ratio lesser than 1 is calculated through the equation,
Sn = (a1) x (1 - r^n) / (1 - r)
Substituting the known values,
S5 = (6) x (1 - (1/3)^5) / (1 - 1/3) = 242/27
Thus, the sum of the first five terms is approximately equal to 8.96.
Answer:
Step-by-step explanation:
So we can just set up a proportion
14.5/2=x/3
we can cross multiply
so that means
2x=43.5
x=21.75
