Answer:
135 degrees
Step-by-step explanation:
3x+15 = 5x - 5 because of the alternate interior angles theorem.
20 = 2x
x = 10
3(10) + 15 = 30+15 = 45
Remember that a line has a measure of 180 degrees. So we can just subtract the angle we found from 180 degrees to get BFG.
180-45 = 135.
Answer:
55 +48i
Step-by-step explanation:
Complex numbers can be treated as though they were binomials with a variable "i". At the end, any instance of i² can be replaced by -1.
(8 +3i)² = 8² + 2(8)(3i) +(3i)² = 64 +48i -9
= 55 +48i
Answer:
$78,000
Step-by-step explanation:
75,000 * 4% is 3000
3000+ 75000
78000
Verified Answer!
Hello from MrBillDoesMath!
Answer:
5
Discussion:
Consider the expansion of e^x:
e^x = 1 + x + x^2/2 + x^3/6 +...... => replace x by 5t
e^(5t) = 1 + (5t) + (5t)^2/2 + .... => subtract 1 from both sides
e^(5t) - 1 = (5t) + (5t)^2/2+.... => divide both sides by t
(e^(5t) -1)/ t = 5 + (25/2) t +....
so as t ends to 0 the quotient tends to
5 + (25/2)0 + (other terms) *0 -> 5
Thank you,
MrB
