Assuming your equation is: -2/5n = -30
-2/5n = -30 <- We get rid of the "/5n" by multiplying each side by 5n
-2 = -30 * 5n
-2 = -150n
-1 = -75n
75n = 1
But this doesn't match up with any of your answers, so if you wouldn't mind giving me the equation again, i'll work it out
The diagonals intersect perpendicularly, two consecutive angled are supplementary, and that opposite angles are equal
1 is 4/5=8/10=16/20
2 is 9/2=18/4=3616
3 is 11/12=22/24= 44/48
4 is 6/10=12/20=24/40
5 is 8/6=16/12=32/24
6 is 3/7=6/14=12/142
-8 and 5: -8 x 5 = -40; -8 + 5 = -3
Based on the calculations, the scale factor for this dilation is equal to 1/3.
<h3>How to determine the scale factor for this dilation?</h3>
First of all, we would use the distance formula to find the length of side QR and Q'R' as follows:
Distance = √[(x₂ - x₁)² - (y₂ - y₁)²]
Substituting the given points into the formula, we have;
Distance QR = √[(5 - (-1))² + (0 - 0)²]
Distance QR = √[(5 + 1)² + (0)²]
Distance QR = √[6² + 0]
Distance QR = √36
Distance QR = 6 units.
For side Q'R', we have:
Distance Q'R' = √[(1 - (-1))² + (2 - 2)²]
Distance Q'R' = √[(1 + 1)² + (0)²]
Distance Q'R' = √[2² + 0]
Distance Q'R' = √4
Distance Q'R' = 2 units.
Now, the scale factor for this dilation is given by:
Scale factor = Q'R'/QR
Scale factor = 2/6
Scale factor = 1/3.
Read more on scale factor here: brainly.com/question/17079307
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