40% of $3,200 is $ 1,280
william payed patio town $1,280 for the materials
Answer:
Choice B) Angle EGH------------------------------------------------
The given angle is DGE. Exactly two of the letters (D, G, and E) will be found in any adjacent angle to this given one. For example, angle FGD is adjacent to DGE because of the shared letters D and G. The two angles share the segment DG.
Similarly, angle DGE is adjacent to EGH for the same reason. Now segment EG is the overlapping shared segment. Note how "E" and "G" can be found in the given angle and the answer.
Edit: see the attached image for visual proof. The given angle is in red. The angle for the answer is in blue.
Answer:
The length of the rectangle is of 9 units.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



Area of a rectangle:
A rectangle has width
and length
. The area is the multiplication of these measures, that is:

The length of a rectangle is the sum of the width and one.
This means that
, or 
The area direct angle 72 units. What’s the length, in units, of the rectangle
We want to find the length. So



Quadratic equation with
. So



Since the length is a positive measure, the length of the rectangle is of 9 units.
This is a mixture problem.
Let the 9 karat gold to be mixed be x. The 18 karat would weight (200 - x). Since the total = 200g.
mass1 * karat1 + mass2*karat = total mass * total carat
Let mass1 be x g. mass 2 would be = (200 -x)
karat 1 = 9 karat 2 = 18
Total mass = 200g.
Total karat = 14.
9*x + 18*(200 -x) = 14*200
9x + 18*200 - 18*x = 14*200
18*200 + 9x - 18x = 14*200
3600 - 9x = 2800
3600 - 2800 = 9x
800 = 9x
9x = 800
x = 800/9
x ≈ 88.89
Therefore 88.89 grams of 9 karat gold must be mixed.