Answer:
From the given graph:
the coordinates of triangle RST are;
R= (2, 1),
S= (2,-2),
T= (-1,-2)
Given: Scale factor =
and center of dilation at (2,2)
The mapping rule for the dilation applied to the triangle as shown below:
; where k represents the scale factor i.e,
or we can write it as ;
For R=(2, 1)
The image R' = ![(\frac{5}{3}(2-2)+2 , \frac{5}{3}(1-2)+2 )](https://tex.z-dn.net/?f=%28%5Cfrac%7B5%7D%7B3%7D%282-2%29%2B2%20%2C%20%5Cfrac%7B5%7D%7B3%7D%281-2%29%2B2%20%29)
⇒ R'=
Similarly for S= (2, -2) and T= (-1,-2)
therefore, the image of S'= ![(\frac{5}{3}(2-2)+2 , \frac{5}{3}(-2-2)+2 )](https://tex.z-dn.net/?f=%28%5Cfrac%7B5%7D%7B3%7D%282-2%29%2B2%20%2C%20%5Cfrac%7B5%7D%7B3%7D%28-2-2%29%2B2%20%29)
⇒ S'=
The image of T' =![(\frac{5}{3}(-1-2)+2 , \frac{5}{3}(-2-2)+2 )](https://tex.z-dn.net/?f=%28%5Cfrac%7B5%7D%7B3%7D%28-1-2%29%2B2%20%2C%20%5Cfrac%7B5%7D%7B3%7D%28-2-2%29%2B2%20%29)
⇒T' = ![(-3, \frac{-14}{3})](https://tex.z-dn.net/?f=%28-3%2C%20%5Cfrac%7B-14%7D%7B3%7D%29)
Now, labelling the image of triangle R'S'T' as shown in the figure given below
Answer:
D i think sorry if im wrong
Step-by-step explanation:
-2 - 12=14 becaue if you take negetive number and turn it to a positive number you will add it and then put back negetive sigh again
sorry if i did not explain this right i tried
Answer:
45mph
Step-by-step explanation:
225mi / 5hr = 45mph
Answer: Angle L = 54 degrees
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees. This means that
Angle J + Angle K + Angle L = 180 degrees
Looking at the triangle,
Angle J = 5x degrees
Angle K = 2x degrees
Angle L = 3x degrees
Therefore,
5x + 2x + 3x = 180
10x = 180
Dividing the left hand side of the equation and the right hand side of the equation by 10, it becomes
10x/10 = 180/10
x = 18
Therefore,
Angle L = 3 × 18 = 54 degrees