Hey there!
To find the opposite of a number, you switch its sign, and to do so, you would multiply by -1. This gives us the equation below.
n=-n+96
To find our number, we need to isolate all of our n's on one side of the equation. Let's try adding n to both sides.
2n=96
We divide both sides by 2.
n=48
As you can see, the opposite of 48 is -48, and 48 is 96 more than -48.
Therefore, our number is 48.
I hope this helps!
0.2 divided by 5 equals 0.04
6 - 1/2z = 2/3
subtract 6 from both sides
- 1/2z = -16/3
divide both sides by -1
1/2z = 16/3
rewrite
1z/2 = 16/3
multiply both sides by 2
1z = 32/3
z = 32/3 or 10 2/3
Hope this helps :)
Answer:
113
Step-by-step explanation:
The given shape has 6 angles so it's a hexagon and the sum of interior angles in a hexagon is = 720
To find the the value of x we need to add all given values up and subtract it from 720:
88 + 142 + 105 + 136 + 136 + x = 720
607 + x = 720 subtract 607 from both sides
x = 113
Answer:
Option A (k < -1).
Step-by-step explanation:
Enlargement is one of the linear transformations which changes the size of the shape formed by a combination of some points in the exact proportion. For enlargement (also called dilation), there are two parameters required: the center of enlargement, according to which the transformation occurs, and the scale factor, the size by which the transformation is done. The scale factor can be of any number k. If k is larger than 1 or -1, then it will cause enlargement. If k is between -1 and 1, it will cause anti-enlargement. The magnitude of k determines the size and the sign of k determines the direction. So in this case, k < -1 will cause the enlargement: even though the scale factor is less than -1, but it will enlarge the shape on the opposite direction. Option B and Option C cause anti-enlargement and Option D cause no enlargement or anti-enlargement. So Option A is the correct answer!!!
