Answer:
x = 3, x = 15, x = 12, x = 1
Hope this helps :)
Step-by-step explanation:
1.) 4x - 1 = 2x + 5
+1 +1
4x = 2x + 6
-2x -2x
2x = 6
x = 3
2.) 3x - 5 = 2x + 10
+5 +5
3x = 2x + 15
-2x -2x
x = 15
3.) 4x + 2 + 30 = 8 + 6x
4x + 32 = 8 + 6x
-8 -8
4x + 24 = 6x
-4x -4x
24 = 2x
x = 12
4.) 4( x - 1) + 5 = 2x + 3
4x -4 + 5 = 2x + 3
4x + 1 = 2x + 3
-1 -1
4x = 2x + 2
-2x -2x
2x = 2
x = 1
The answer is 1/3 because of rise over run
Answer: 6/5
Step-by-step explanation:
When finding the reciprocal, we essentially just "flip" or take the inverse of the number we are given. For example, the reciprocal of 1/2 would be 2/1 or 2. The given number multiplied by the reciprocal should always equal 1. If it does, then we know we are correct.
In this case, we are finding the reciprocal of 5/6, so we "flip" the numerator and the denominator to get 6/5.
To check our work, we need to multiply our original number and its reciprocal.
5/6 x 6/5 = 30/30 = 1
Now, we know we are correct, that the reciprocal of 5/6 is 6/5.
The interior angle of a regular octagon is 135 degrees.
<h3>What is an octagon?</h3>
An octagon is a polygon that has 8 sides. Therefore, a regular octagon is a octagon with all it sides and angles equal to each other.
Therefore, the sum of angles in an octagon is each interior angle multiply by the number of sides.
Therefore,
n = number of sides = 8
Hence,
interior angle = (n - 2)180 / n
interior angle = (8 - 2)180 / 8
interior angle = 6 × 180 / 8
interior angle = 1080 / 8 = 135°
learn more on octagons here: brainly.com/question/3828395
#SPJ1