Any transformation that is getting smaller is a dilation. Bigger, an enlargment. In this instance, it is a scale factor of 1/2, because scale factor 1 is congruent, greater than one an enlargement, less than one but greater than zero is a dilation.
4x+8y=40
0.8*8=6.4
4x+6.4=40
40-6.4=33.6
4x=33.6
33.6\4=8.4
X=8.4
The simplest form of an interest equation is A = P(1+rt)
where A = the total amount of money at the end, P = the principal (or amount of money you started with), r = the rate in percent, and t = the time in years.
In this case, P = 15000, r = 0.03 (because 3% in decimal form is 0.03), and t = 1:

So, after 1 year he will get $15450 back, making him $450 more.
Answer:
Step-by-step explanation:
In this problem, we will use ratios
60%------->120 guests
30%-------->60guests
10%---------->20guests
Multiply by 10 to both sides to get 200
100%--------> 200 guests
hope this helps!
Answer:
10.1
Step-by-step explanation:
You can find the length of XY by first finding YZ using the Pythagorean theorem. Then subtract the length from 15 for the length of the other triangle. Use the Pythagorean theorem again to find XY.
The Pythagorean theorem is used for all right triangles and is the formula
. Here a = 4, b is unknown and c = 7.
So 
Subtract 5.75 from 15.
15 - 5.75 = 9.25.
Repeat the Pythagorean Theorem again with a = 4, b = 9.25 and c is unknown. Solve for c. This is XY.
