Answer:
x = 9
Step-by-step explanation:
The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is
= 
, that is
= ( cross- multiply )
12(x - 3) = 8x
12x - 36 = 8x ( subtract 8x from both sides )
4x - 36 = 0 ( add 36 to both sides )
4x = 36 ( divide both sides by 4 )
x = 9
The correct answer for the problem above is -23 .
Explanation
1. collect the like terms
2x + x - 11 + 3 - 7x = 15
2x , x , & -7x are like terms
-11 & 3 are like terms
2x + x -7x = -4x
-11 + 3 = -8
2. Move constant to the right-hand side and change its sign .
-4x = 15 + 8
-4x = 23
3. Make the signs on both sides of the equation
-4x = 23 turning into 4x = -23
answer =
4x = -23
1+3+5+7+9+11+13+15+17+19 is the answer. Hopefully this helped!! :)
2nd subtraction property.
-6(2x - 4) = -6*(2x) -6*(-4) = -12x + 24
-(12x - 6) + 18 = -12x + 6 + 18 = -12x + 24
-3(4x - 3) + 15 = -3*(4x) -3*(-3) + 15 = -12x + 9 + 24 = -12x + 24
-4(3x + 6)
= -4*(3x) -4*(6) = -12x -24
All the expressions gave the same answer as -12x + 24, except for the last expression.
So, -4(3x + 6)
is not equivalent to the others.
