Answer: SF = -3
Step-by-step explanation:
Looking at the figure and its image, three things are immediately obvious.....
The image is bigger
The image is inverted.
The figure and the image have a common point.
The common point is the center of dilation. (-4, -4)
The fact that it lies BETWEEN the image and the figure means that the SF is a negative number.
This accounts for the fact that the image is inverted.
To find the Scale Factor divide
Looking at the horizontal lines we see..
= -
= -3
Hi there!
Let there be two angles, ∠A and ∠B, that are supplementary to each other. Therefore:
∠A + ∠B = 180°
We can assign ∠B to be the greater angle. Assume ∠A has a measure of x°.
∠A = x°
∠B = x° + 30°
The sum is equal to 180°, so:
x° + (x° + 30°) = 180°
Solve for x°.
2x° + 30° = 180°
2x° = 150°
x° = 75°
Thus, ∠A = 75°.
Since ∠B is 30°, greater:
∠B = 75° + 30° = 105°.