Answer:
79 degrees.
Step-by-step explanation:
It is just a rule of trigonometry that all the angles inside ANY triangle will add up to 180 degrees.
There's only 3 possible angles in a triangle, so if you know what the sum of 2 are, its easy to find the last one.
All you have to do is 180 - 101, which equals 79 degrees.
Hope this helped : )
Y = mx + c
this is the equation of line and here m is the slope
so, 2x-6y =12 can be changed into standard format
y = 2x/6 - 12/6
y=x/3 +(-2)
so, m = 1/3 , so slope will be 1/3
hope it helped :)
Answer:
B
Step-by-step explanation:
The angle at the centre is equal to the arc that subtends it , thus
∠ ABC = arc AB = 75° → B
Answer: 503
Step-by-step explanation:
Penn: n = 2013
a₁ = x
r = rp
Teller n = 2013
a₁ = -x
r = rt
Sum of terms arithmetic sequence: S = (a₁ + aₙ)n/2
Spenn = (x + a₂₀₁₃).2013/2
Steller = (-x + a₂₀₁₃).2013/2
Spenn = Steller
(x + ap₂₀₁₃).2013/2 = (-x + at₂₀₁₃).2013/2
2x = at₂₀₁₃ - ap₂₀₁₃
General term of arithmetic sequence: aₙ = a₁ + (n-1)r
ap₂₀₁₃ = x + (2013-1)rp = x + 2012rp
at₂₀₁₃ = -x + (2013-1)rt = -x + 2012rt
2x = at₂₀₁₃ - ap₂₀₁₃
2x = -x + 2012rt - (x + 2012rp)
2x = -x + 2012rt - x - 2012rp
2x = -2x + 2012rt - 2012rp
4x = 2012rt - 2012rp
4x = 2012(rt-rp)
x = 2012(rt-rp)/4
x = 503(rt-rp)
As rt - rp cannot be 0, and we know that x is positive, the smallest number for (rt-rp) is 1, so the smallest number for x is 503.
