If your solving for x, x=2
X= (k+c):(m- ny/b)=(k+c): (mb-ny)/b= (k+c)*b/(mb-ny)
x= (bc+bk)/bm-ny
D is correct
Answer:
Step-by-step explanation:
8-(x-2)=2x+(10-3x)
We move all terms to the left:
8-(x-2)-(2x+(10-3x))=0
We add all the numbers together, and all the variables
-(x-2)-(2x+(-3x+10))+8=0
We get rid of parentheses
-x-(2x+(-3x+10))+2+8=0
We calculate terms in parentheses: -(2x+(-3x+10)), so:
2x+(-3x+10)
We get rid of parentheses
2x-3x+10
We add all the numbers together, and all the variables
-1x+10
Back to the equation:
-(-1x+10)
We add all the numbers together, and all the variables
-1x-(-1x+10)+10=0
We get rid of parentheses
-1x+1x-10+10=0
We add all the numbers together, and all the variables
=0
x=0/1
x=0
You don't say whether this is a right triangle or not.
Assuming it is a right triangle, then we use the Pythagorean Theorem to determine the length of the hypotenuse:
(hypo) = (length of third side) = √(12^2 + 4^2) = √(144+16) = √160 = 4√10.
This is approx. 12.65 inches. Since this does not match any of the possible answer choices, we'll have to take a different approach to answering this question.
Given that 2 sides of the given triangle are 12 and 4 inches, respectively, we see that the 3rd side has to be longer than 8 inches; otherwise we'd have three line segments on the same line, not forming a triangle.
By this reasoning, 9 inches is the only possible answer that could be correct. With sides 12, 9 and 4 inches, the triangle would be obtuse and appear quite flat, but not be part of a straight line as with a third side of 8.