Answer:
<h2>X =

</h2><h2>Y = 5y.</h2>
Step-by-step explanation:
We need to find the translation for which, (-3, 1) becomes (1, 5).
-3 will become 1, if it is divided by -3.
Hence, the translation for x axis is X =
.
1 will become 5, when it is multiplied by 5.
Hence, The translation for y axis is Y = 5y.
65Answer:
we can use sin to find the missing length
Step-by-step explanation:
The ratio states that sin of an angle=opposite/hypotenuse
sin(65)=x/6 since we know the angle and the hypotenuse we need to figure out the opposite side
sin(65)=0.906307...
0.906307=x/6
Multiply 6 on both sides to isolate x
The answer is 5.4378...
Rounded to the hundredth is 5.44
Answer:
<h2>
RS = 47</h2>
Step-by-step explanation:
RV=VU and SW=WT ⇒ 
Therefore:

3x + 5 = 4x - 11 {subtract 5 from both sides)
3x = 4x - 16 {subtract 4x from both sides)
-x = -16 {divide both sides by (-1)}
x=16
So:
RS = 2x + 15 = 2×16 + 15 = 32 + 15 = 47
First it is reflected in the x axis (beacuse the x value becomes negative but the y values stays the same)
second its dilated by a factor of a half ( the sides of the figure are reduced by a half)
then its translated 2 units to the left and 2 units upwards