Answer:
A
Step-by-step explanation:
The measurements of the segments fall on similar triangles. This means the lengths of each segment can be found using proportions.
Remember, a proportion is an equation which sets equal ratios equal to each other.
To solve for c, multiply numerators and denominators across the equal sign:
24c = 32(15)
24c = 480
c = 20
Answer:
The scale factor is
Step-by-step explanation:
Line segmentAB has vertices A(−3, 4) and B(1, −2) .
A dilation, centered at the origin, is applied to AB. The image has vertices
A'(-1,4/3) and B′(1/3, −2/3) .
We know the rule for dilation by scale factor of k, is
This means that;
But we know, A' has coordinates (-1,4/3)
This means that
We could also compare:
4k=4/3
Which gives
k=⅓