We know all these angles combined equals 360, so:
3x + 20 + 3x + 20 + x + x = 360
8x + 40 = 360
8x = 320
x = 40
Hope this helps!
A little Algebra, and we're home free!
We are given R = 20 and r2 = 75. We need to find r1.
The formula is 1/R = 1/r1 + 1/r2. Plug-in:
1/20 = 1/r1 + 1/75
1/20 - 1/75 = 1/r1
0.0366 = 1/r1
r1 = 1/0.03666
r1 = 27.272
Our answer is r1 = 27 ohms.
Answer:
Point E
Step-by-step explanation:
Notice that point E is the only point where you can draw a straight line from E to A' to A, E to B' to B, etc. That is, the line doesn't have to turn or bend to reach these three points. This doesn't work with any other point, so you know E is the point of dilation.
You can more firmly determine this by looking at the ratios of the distances. Notice how E is the only point where the ratio from of E to A and E to A' is equal to the ratio from of E to B and E to B', and so on for each vertex of the quadrilateral.
The answer is B! It passes the vertical line test