Answer:
<h3>The number is 500</h3>
Step-by-step explanation:
Let the number be x
The quotient of a number divided by five is written as

the number decreased by 400 is written as
x - 400
Equate the two expressions
We have

Multiply through by 5
That's
x = 5x - 2000
x - 5x = - 2000
- 4x = - 2000
Divide both sides by - 4
x = 500
Hope this helps you
Answer:
Denote O as center of circle, draw OA, OC.
As property of tangent line from outside of circle (angle OAD = angle OCD = 90 deg):
=> AOC + D = 180
Moreover, angle AOC = 2 x angle B = 2 x 65 = 130
=> D = 180 - 130 = 50 deg
Hope this helps!
:)
Inverse proportion is of the form:
y=k/x, in this case the variables are
z=k/x, and we are given the point (6,2) so we can solve for k
2=k/6
12=k, so our equation is:
z=12/x, so when x=13
z=12/13
D. 5/4 * 12/1 equals 60/4 which is 15 then minus 1 to get 14.