Answer:
465
Step-by-step explanation:
1 + 2 + 3 + ... + n = n(n + 1)/2
1 + 2 + 3 + ... + 30 = 30(31)/2 = 465
Answer:
(4)
Step-by-step explanation:
As the circumference of a circle measures 360 degrees, minor arc AC measures 360-268=92 degrees.
By the inscribed angle theorem, angle ABC measures 46 degrees.
Add 25 to both sides:
Square root both sides.
When you square root a perfect square, you will get a plus/minus result:
The other solution to this answer is x = -5.
We are given the quadratic equation:
6 = x² - 10x
We are asked to get the solution of the equation expressed as simplest radical form
The equation can be solved using completing the square method:
x² - 10x + 25 = 6 + 25
(x - 5)² = 31
The solutions are
x = 5 + √31
and
x = 5 - √31<span />
