90 points!
which statement is correct for triangle abc. and triangle a prime b prime c prime.?
triangle abc is similar to triangle a prime b prime c prime., because triangle a prime b prime c prime. is obtained by dilating triangle abc. by a scale factor of 1 over 6. and then rotating it about the origin by 90 degrees
triangle abc is similar to triangle a prime b prime c prime., because triangle a prime b prime c prime. is obtained by dilating triangle abc. by a scale factor of 1 over 3. and then rotating it about the origin by 180 degrees
triangle abc is similar to triangle a prime b prime c prime., because triangle a prime b prime c prime. is obtained by dilating triangle abc. by a scale factor of 1 over 3. and then rotating it about the origin by 90 degrees
triangle abc is similar to triangle a prime b prime c prime. because triangle a prime b prime c prime. is obtained by dilating triangle abc. by a scale factor of 1 over 4. and then rotating it about the origin by 180 degrees

The length of AB is 8 units.

The length is A'B' is 2 units.

This is a 1/4 scale:

2/8 = 1/4

AB is at the top of it's image A'B; is at the bottom of it's image, so they are also a mirror image.

Each quadrant would be a 90 degree rotation. A'b" is two quadrants different so would be a 180 degree rotation.

The answer would be:

Triangle ABC is similar to triangle A prime B prime C prime. because triangle A prime B prime C prime. is obtained by dilating Triangle ABC.by a scale factor of 1 over 4. and then rotating it about the origin by 180 degrees

Step-by-step explanation:

From the graph, we observe that the triangle was rotate 180°. That means the viable answers are the second and last option.

Now, we also notice that the dilation of the triangle is by a fraction, because it shrank. To find the right scale factor, we just have to compare coordinates.

The coordinates of ΔABC are A(4,-4); B(12,-4); C(8,-12).

The coordinates of  ΔA'B'C' are A'(-1,1); B'(-3,1); C'(-2,3).

Notice that if we divide each corresponding coordinates, we have 4 as a scale factor, that is

A.

B.

C.

As you can observe the decreasing scale factor is , because if we divide the coordinates of ΔABC, we obtain the coordinates of ΔA'B'C'. It's important to consider the negative sign, it's part of the transformation.

1gm = 1000mg so 0.1gm = 1000mg

first, convert the weight to kg

160lb * 1kg/2.2lb = 72.7kg

next, the dose

72.7kg * 100mg/kg = 7270mg