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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Answer:
6 2/3 minutes
Step-by-step explanation:
Their rates in "jobs per hour" are ...
(60 min/h)/(15 min/job) = 4 jobs/h
and
(60 min/h)/(12 min/job) = 5 jobs/h
So, their combined rate is ...
(4 jobs/h) + (5 jobs/h) = 9 jobs/h
The time required (in minutes) is ...
(60 min/h)/(9 jobs/h) = (60/9) min = 6 2/3 min
Working together, it will take them 6 2/3 minutes.
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Answer:
No; the two systems have parallel lines, so cannot have the same solution
Step-by-step explanation:
One system of equations has the line ...
8x +9y = 48
The other system of equations has the parallel line ...
8x +9y = 45
Those two lines cannot intersect, so cannot share a solution.
I do not agree with Albert that the two systems have the same solution.
Answer:
6 1/4
Step-by-step explanation:
1/2 = 2/4
2/4 + 3/4 = 5/4 which is 1 1/4 simplified.
Then add the whole numbers, 2 + 3 = 5
5 + 1 1/4 = 6 1/4
Tomas rides 6 1/4 miles everyday.
For a * = 2bc
for b * = 5ab