read the text to answer the question.
A triangle is 10 inches on the left and 15 on the right and 18 inches on the bottom
Another triangle is 36 inches on the left 20 inches on the right and 30 inches on the bottom
Randee draws these two triangles with lengths given in centimeters. What scale factor does she use to create the copy on the right from the original on the left?
the options:
A) 1 and 1 over 3
B) 1 and 2 over 3
C) 2
D) 1 over 1
To find the scale factor used by Randee, we can compare the corresponding sides of the two triangles.
For the first triangle, the ratio of the right side to the left side is 15/10, or 1.5.
For the second triangle, the ratio of the right side to the left side is 20/36, which simplifies to 5/9.
Since we want to find the scale factor to create the copy on the right from the original on the left, we need to find the ratio of the right side to the left side. Therefore, the scale factor is 1.5 divided by 5/9.
To divide by a fraction, we can multiply by its reciprocal. In this case, we multiply by 9/5.
So the scale factor is 1.5 * 9/5, which simplifies to 13.5/5, or 2.7.
Therefore, the scale factor used by Randee is 2.7.
The correct option is not provided among the given options.
Use the image to answer the question.
Image:
There is a 6 columns and a row of 2 boxes
Scale: 1 box = 4 centimeters
Reproduce the scale drawing so that it has a scale of 1 box = 2 centimeters. Which shows the correct new scale drawing?
Since each box represents 4 centimeters in the original scale drawing, and we want to create a new scale where 1 box represents 2 centimeters, we need to reduce the scale by half.
Therefore, the correct new scale drawing would be the one where each box represents 2 centimeters.
However, without the options provided, I am unable to specifically identify the correct new scale drawing.