So ur going from a smaller shape to a larger shape....means the scale factor is more then 1. The scale factor is the number that u multiply the original shape by to get the other shape.
so lets look at DE...it is 2.....and D'E' is 6
so 2 * x = 6...with ur scale factor being x
2x = 6
x = 6/2
x = 3.....so the scale factor is 3....because multiplying the original shape by 3, gives u the other shape
Answer: RQ= 8.99 ( approx)
Step-by-step explanation:
Let MR= x
Since, In triangle, PRQ, tan 75°= 
⇒ RQ= 
Now, In triangle MRQ,
tan 60°= 
⇒ RQ= 
On equating both values of RQ,

⇒
⇒
⇒
⇒
⇒
≈15.60
Thus RQ=8.99999999999≈8.99
Answer:
US Pints: 2.5, Imperial Pints: ~2.1 (If you live in the US, do 2.5, but if not, then do ~2.1.)
Step-by-step explanation:
To do this, we need to convert fluid ounces to US pints. To do this, you divide the amount of fluid ounces by 16. When we divide 40 by 16, we get 2.5. This means that the soup needs 2.5 pints of water. If you are talking about imperial pints, then we divide the amount of fluid ounces by 19.215. This gets us 2.08, which we can round to 2.1. If you live in the US, do 2.5, but if not, then do ~2.1. I hope this helps!
46: 24a+40
First we are going to take a look at a) 8(3a+5)
a) We then simplify it by multiplying the numbers inside the parenthesis by 8.
a) 24a+40
Now we ask ourselves, is this equivalent to 24a+40? YES!
So your answer for #46 is a) 8(3a+5)