Answer:
A dilation with a scale factor of One-fourth and then a translation
Step-by-step explanation:
Plot points A, B, C, D, A', B, C' and D' on the coordinate plane and draw quadrilaterals ABCD and A'B'C'D'.
These quadrilaterals are similar and quadrilateral a'B'C'D' has sides 4 times smaller than quadrilateral ABCD.
This means that the dilation with a scale factor of one-fourth was performed.
The figures were not rotated (they have the same positions), so the second transformation was translation.
Hence, correct option is B: a dilation with a scale factor of One-fourth and then a translation
Answer:
7
Step-by-step explanation:
3x8-3x3+2
24-3x3+2
24-9+2
15+2
=17
Answer:
Exterior angles are the ones on the outside and same side means they sit on the same side of the bisector so your answer is 1 and 8
Step-by-step explanation:
Answer: Upper right corner
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How I got that answer:
The line y = x goes through (0,0) and (1,1). You would normally extend this line out as far as you can in both directions. However, the inequality x < -1 says you can only graph this if x is less than -1. We will not graph any part of the graph that is beyond x = -1 to the right. So we only have a small piece of it. The left piece of y = x. There is an open hole at the endpoint.
Similarly, y = -x is only graphed if x >= -1. We have a closed endpoint here. This graph goes through (0,0) and (1,-1). We erase the portion that is to the left of x = -1.
Doing all this leads to the upper right corner choice as our answer. The bottom right corner is close to the answer, but the open and closed endpoints are in the wrong spots.
To find the area, we need the height of the triangle first. We already have the base.
Let's find the height (BA)
tan = opposite / adjacent
tan 35 = BA / 12
BA = 12 * tan35
BA = 12 * 0.7002079283708176
BA = 8.402
Area of the triangle = 12*BA/2 = 6*BA = 50.412 square units