As you bring all the non-variable numbers over to the right side, it becomes 384 which you then will divide the 32 in x which gives us 12. so x=12
Answer:
Lines AB and A'B' are similar, line A'B' being three times the size of line AB. They would not be congruent since a dilation isn't a rigid transformation but they would be similar. Their lengths would also be expressed in the form of a ratio which would be 1:3 if you do AB to A'B' and 3:1 if you do A'B' to AB. Hope this helped! :)
Step-by-step explanation:
The relationship between two lines AB and A’B’ is A'B'=3AB.
It is given that in the given figure larger figure was dilated using a scale factor of 3. It means the smaller and larger figures are similar and there corresponding sides are in the ratio 1:3.
The line AB connecting the two points of the smaller figure and line A'B' connecting the two points of the larger figure.
Since A'B' is corresponding line segment of AB in larger figure, therefore the ratio of AB to A'B' is 1:3.
By cross multiplication we get
The length of segment A'B' is 3 times of AB.
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This is a parabola, meaning the equation is a quadratic, so it has 2 roots or x-intercepts, keeping in mind that vertex will lie half-way between those intercepts.
so what's the x-value halfway between -3 and 7? yeap, you guessed it, 2.
so the axis of symmetry for this vertical parabola will be at x = 2.
Answer:
1.36
1. Find the mean of all values. (3)
2. Find the distance of each value from that mean (subtract the mean from each value, ignore minus signs)
3. Find the mean of those distances.
The probability of choosing...
M - 1/11
I - 4/11
S - 4/11
P - 2/11