Answer:
No solutions: 7−5+3x−1= 3x + 7
One solution: 7−5+3x−1= 2x + 4
Infinitely Many Solutions 7−5+3x−1= 3x + 1
Step-by-step explanation:
No solutions means it results in no x and a false statement like 3 = 0.
One solution means it results in x = a number.
Infinite solutions means its results in no x and in a true statement like 3=3.
- So to get No solutions: 7−5+3x−1= 3x + 7
This will eliminate the x and result in 1 = 7 which is false.
- One solution: 7−5+3x−1= 2x + 4
This will result in x= 3
- Infinitely Many Solutions 7−5+3x−1= 3x + 1
This will eliminate the x and result in 1 = 1 which is true.
Given:
adults = x
male = 7x + 1
female = (7x + 1)/2
total number of people = 82
x + (7x + 1) + [(7x +1)/2] = 82
2x/2 + (14x + 2)/2 + (7x + 1)/2 = 82
2x + 14x + 2 + 7x + 1 = 82 * 2
23x + 3 = 164
23x = 164 - 3
23x = 161
x = 161/23
x = 7
adults = x = 7
males = 7x + 1 = 7(7) + 1 = 49 + 1 = 50
females = (7x+1)/2 = 50/2 = 25
7 + 50 + 25 = 82
The Pythagorean Theorem states that a^2+b^2=c^2
We already have:
A^2+6^2=117
All we need to do is find the missing A by subtract b from c.
117-36=81
Now the square root of 81, 9.
So, x is 9 cm.
Answer:
Two Angles are Supplementary when they add up to 180 degrees.
Step-by-step explanation: