In my opinion I think it's the third one
6(2x-11)+15=3x+12 Given
12x-66+15=3x+12 Distribution
12x-51=3x+12 Combine like terms
12x=3x+63 addition
9x=63 subtraction
x=7 division
the value of x that makes the equation true is 7.
Answer:
1 15/16 ft
Step-by-step explanation:
40 5/8 + 8 1/8 = 48 6/8
There are 12 inches in a foot.
48/12 = 4
6/8 inch divided by 12 is 1/16 ft
Answer:
x = -45, y = -40
Step-by-step explanation:
Based on the first clue, we find out that
x + 5 = y
5x = 6y + 15
We can re-write the first equation to x = y - 5.
Therefore, the second equation can also be written as 5(y - 5) = 6y + 15
This can be simplified to 5y - 25 = 6y + 15
We can subtract 6y from each side, and add 25 to each side;
5y - 6y = 15 + 25
Therefore, -y = 40
Therefore y = -40.
Now let's plug this back into the original equation, to get : x + 5 = -40
x=-45
From angle bisector theorem, we know that:

Moreover:

so:

and