Problem 215
Check out the attached image. Line up the letters ABC and CDE so the first set of letters are over the second set of letters. Order is important here. Note how A corresponds to C (second C), B corresponds to D, and (the first) C corresponds to E.
We have this mapping:
A <--> C
B <--> D
C <--> E
This means...
Angle BAC corresponds to Angle DCE (red angles)
Angle ABC corresponds to Angle CDE (blue angles)
Angle BCA corresponds to Angle DEC (green angles)
It also means...
Side BC corresponds to Side DE (red sides)
Side AC corresponds to Side CE (blue sides)
Side AB corresponds to Side CD (green sides)
Check out the attached image which I hope clears up any confusion you may have. Often I think it helps to represent stuff like this in a visual way.
============================================
Problem 216
Answer: True
Since triangle ABC is congruent to triangle DEF, this means that side AB is congruent to side ED. These are corresponding sides. Since AB = 6, this means ED = 6 as well.
Answer:
x = 18√3
Step-by-step explanation:
From the picture attached,
In a right triangle,
Measure of one angle = 30°
Measure of adjacent side of the angle = 9 units
We have to find the measure of Hypotenuse from the given properties.
By cosine rule,
cos(30°) = 


Therefore, measure of Hypotenuse is 18√3 units.
Answer:
1/34
Step-by-step explanation:
9-3= 6
(4+2x12+6)=34
6/34= 3/17 which is .1764......
3/17 divide by (2x3)= 1/34
1, 3, 5
The reasonable domain has a minimum value.
The reasonable range has a minimum value of 30,000.
The reasonable range has an implied, but unknown, maximum value.
Step-by-step explanation:
1. Years cannot be anything below 0.
2. The domain includes 0 because the answer can be the initial value.
3. 30,000 is the initial value and is the minimum solution.
4. The range has a minimal of 30,000.
5. Logically, we know city populations cant be numbers like a billion but we prove that mathematically.
Answer:
C. $63.00
Step-by-step explanation:

He has C. $63.00.