What is the scale factor of a triangle with a vertex of a(-6,4) that has been dilated with the center of dilation at the origin so the vertex of its image is a’(-24,16)?

The scale factor is 4

Step-by-step explanation:

* Lets talk about dilation

- A dilation is a transformation that changes the size of a figure.

- It can become larger or smaller, but the shape of the

 figure does not change.

- The scale factor, measures how much larger or smaller

  the image will be

- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

* In the problem

- The vertex A of the triangle is (-6 , 4) and its image A' is (-24 , 16)

∵ -24 ÷ -6 = 4

∵ 16 ÷ 4 = 4

∴ The scale factor is 4

∵ 4 > 1

∴ The image of the triangle will be larger

* The scale factor is 4

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.