Answer:
6
Step-by-step explanation:
As you might know, the two lines surrounding the -4 represent the absolute value, which is basically the distance from 0, and the distance is always positive. To clear any confusion, the absolute value of positive number will not be it's opposite because remember, distance is always positive, so absolute value is always positive (because it is basically the distance from zero).
To help, here is an example (that is not related to the problem!):
|-6| = 6
|6| = 6
<em>Now, back to the problem...</em>
Since you now know that the absolute value is always positive, |-4| would equal 4. So now you have:
4 - 8 + 10 = ???
From here, you can just solve and the answer is 6, so:
4 - 8 + 10 = 6
You final answer is 6.
Hope this helped somehow :D
Answer:
-2(57+8) = 14 + 6x
step 1 -2 x 57 and -2 x 8 =
step 2 -114-16 = 14 + 6x
+16 +16
step 3 -114 = 30 + 6x
-30 -30
step 4 -144 = 6x
-144/6 6/6
x = -24
-2(5x + 8) = 14 + 6x
step 1 -2 x 5x and -2 x 8 =
-10x - 16 = 14 + 6x
step 2 -6x -6x
-16x -16 = 14
step 3 +16 +16
-16x = 30
step 4 -16/-16 30/-16
x= -15/8
<span>Linear relations are not functions when they appear graphically as:
Vertical lines
One x not one y</span>
Answer:
The measure of all the angles are;
45°, 135°, 45°, and 135°
Step-by-step explanation:
The given parameters are;
The ratio of two adjacent angles of the parallelogram = 1:3
Let x represent one of the adjacent angles, and let y represent the other adjacent angle
Given that two adjacent angles of a parallelogram are supplementary, we have;
x + y = 180°
x:y = 1:3
Therefore, y = 3 × x = 3·x, which gives;
x + 3·x = 180°
4·x = 180°
x = 180°/4 = 45°
y = 3 × x = 3 × 45° = 135°
Given that opposite interior angles of a parallelogram are equal, we have, the measure of all the angles are;
45°, 135°, 45°, and 135°.
2(3x - 4) = 5x + 20
6x - 8 = 5x + 20
subtract 5x from both sides
x - 8 = 20
add 8 to both sides
x = 28
