Answer:
Look in explanation
Step-by-step explanation:
I will assume that you're trying to solve for "x".
For number 1: 49+(5x+1) is a supplementary angle(180 degrees) so you can subtract 180-49 to get 131.
Now, 131 = 5x+1
-1 -1
130 = 5x
/5 /5
Now, we isolate the x to get x=26.
Number 2: There is a supplementary angle as well so we can put 5x+12+6x+3=180.
Now, combine the like terms to get 11x+15=180 so we now isolate x.
-15 -15
11x=165
/11 /11
x=15
Now, try the rest and set the terms to 180.
5x+1+8+4x=180
2x+1+x-10=180
6+x+5x=180
x+2+153=180(This is similar to #1)
CHECK YOU ANSWERS BELOW AFTER YOU HAVE ATTEMPED THE REST OF THE PROBLEMS.
3. x=19
4. x=63
5. x=29
6. x=25
Answer:

Step-by-step explanation:

Expand brackets.

This is in quadratic form.

Since this is for equal roots:







Plug k as 0 to check.

False.
So that means k must equal 6.
Answer:
France = 15, Italy = 14, Korea = 13
Step-by-step explanation:
We are trying to find 3 consecutive integers whose sum is 42, then the highest integer will be France's gold medal count since they won the most, the second highest will be Italy, and the lowest integer will be Korea.
let n be the first/smallest integer, since they are consecutive, the next two integers are n+1 and n+2. Summing these, we get n + (n+1) + (n+2) = 42. Solve to get n = 13, n + 1 = 14, and n + 2 = 15
Answer:
Step-by-step explanation:
First both the rational numbers should have same denominators. So, find least common denominator
Least common denominator is 10

Now multiply the numerator and denominators of the both the numbers by 10.
