Identify a sequence of transformation that maps triangle abc onto triangle a"b"c" in the image below.
a clockwise 90 rotation; enlargement
b counterclockwise 90 rotation; reduction
c counterclockwise 90 rotation; enlargement
d clockwise 90 rotation; reduction

C counterclockwise 90 rotation; enlargement

Step-by-step explanation:

From the photo, we can see that triangle A"B"C" is the product of triangle ABC  after the transformation.

Please have a look at point C on line y-axis and after that it lies on x-axis. So we have possible reasons:

1. rotated either counterclockwise 90°

2. rotated clockwise 270°.

The rule is:

The corresponding sides of image A"B"C" are bigger than the preimage ABC.  

Because k >0, the transformation shows the enlargement

So we choose option C counterclockwise 90 rotation; enlargement

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!