Answer:

Step-by-step explanation:
We want to subtract

from

We set up the subtracttion problem to get:

We expand the parenthesis to get:

Group similar terms:

We simplify to get:

Answer:

Step-by-step explanation:
assuming the recurring digits are 0.272727.... , then
we require 2 equations with the repeating digits placed after the decimal point.
let x = 0.2727.... (1) ← multiply both sides by 100
100x = 27.2727... (2)
subtract (1) from (2) thus eliminating the repeating digits
99x = 27 ( divide both sides by 99 )
x =
=
← in simplest form
9514 1404 393
Answer:
- x +3x = 180
- x = 45 . . . . . . . choice C
- 3x = 135 . . . . . choice F
Step-by-step explanation:
Let x represent the measure of the original angle in degrees. Three times its measure is 3x. That will be the supplement if the sum of the two angles is 180°.
x + 3x = 180 . . . . . . . . . equation for finding the angle
x = 180/4 = 45 . . . . . . divide both sides by 4
3x = 3(45) = 135
The first angle is 45°. The second angle is 135°.
The 3 inside angles of a triangle need to equal 180 degrees. Looking at the larger outside triangle the top angle is 30 and the lower right angle is 60.
30 + 60 = 90
The lower left angle needs to be 180 - 90 = 90 degrees.
That angle is split into two angles with one given as 70.
This means X needs to be 90 - 70 = 20 degrees.
x = 20