Answer:
d = 9
Step-by-step explanation:
Calculate the slope of ab then equate to 3.
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (4, 6) and (x₂, y₂ ) = (d, 21)
m = 
= 
= 3 ( multiply both sides by d - 4 )
3(d - 4) = 15 ( divide both sides by 3 )
d - 4 = 5 ( add 4 to both sides )
d = 9
To flip any of the points to map up correctly to the other points, you would have to do a reflection over the y-axis. The reasoning for this is because you cannot dilate your shape because it won't map over correctly. A translation will not work, mainly because the shape still needs to flip. A rotation will also not work because when you rotate it, the shape will still not map over your new one.
-So your answer to this question would be that only a Reflection over the y-axis will allow the two shapes to map over each other correctly.
.2 or 2/10 If you do 3/4 of the 4/5, you get .6 or 6/10. With that, you can do 1/3 of .6 or 6/10 which equals .2 or 2/10
Answer:
the measure of the inscribed angle is equal to the measure of its intercepted arc.
Parallel line means they have the same slope
y = mx + b
where m = slope
y = -3 + 4
here the slope is negative 3
y = -3x + b
plug in (4, 8)
8 = -3(4) + b
b = 8 + 12
b = 20
The answer is y = -3x + 20
