Answer:yes you are correct but it’s hard to explain why
Step-by-step explanation:
Same-side interior angles where a transversal crosses parallel lines are supplementary:
The solutions to these equations can probably be done in your head:
- y = 180/(6+4) = 18
- x = (180-90)/5 = 18
The angles at the bottom of the figure, shown as different, are actually the same: 90°.
The angles at the top of the figure, shown as the same, are actually different: 108° on the left, 72° on the right.
Let's take two points so that we can get the equation of the line which goes through those points. P1 (-9, -2), P2 (3, -17):
So, y is the line which goes through the first and last points of the chart.
To proof that the rest of points go through the line as well, we will evalute each point
Since the evaluation of these points don't correspond to the values of the chart we can assure that the relationship is not linear
Answer:
The volume increases by a factor or 64. When the cube is dilated, each side length is increased by 4, so the volume is increased by 64.
Step-by-step explanation:
Let L represents the Length of the cube before it's dilated.
Volume, V1 = Length * Length * Length
Volume, V1 = L * L * L
Volume, V1 = L³
When the cube is dilated by a factor of 4.
The new Length becomes 4L.
The new volume is calculated as thus.
New Volume, V2 = 4L * 4L * 4L
New Volume, V2 = 64L³
Dividing the new volume by the old volume gives the increment factor.
Factor = New Volume ÷ Old Volume
Factor = V2/V1
Factor = 64L³/L³
Factor = 64.
Hence, when the sides of the cube is dilated by 4, the volume increases by a factor of 64.
Filling the gap of the given sentence;
"The volume increases by a factor or 64. When the cube is dilated, each side length is increased by 4, so the volume is increased by 64"
