9514 1404 393
Answer:
x = 6
Step-by-step explanation:
The sum of segments is used:
EF +FG = EG
3x +(5x +16) = 11x -2 . . . . substitute given expressions
8x +18 = 11x . . . . . . . . add 2
18 = 3x . . . . . . . . subtract 8x
6 = x . . . . . . divide by 3
The value of the variable is 6.
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<em>Check</em>
The segment lengths are ...
EF = 3x = 3·6 = 18
FG = 5x+16 = 5·6 +16 = 46
EG = 11x -2 = 11·6 -2 = 64 = 18+46 . . . answer is correct
Answer:
Step-by-step explanation:
4x+2=5x-6
4x-5x=-6-2
-x=-8
therefore, x=8
<span>12(5y+4)
= 12(5y) + 12(4)
= 60y + 48
hope it helps</span>
Answer:
6
Step-by-step explanation:
A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation
.
If a line has the slope of -0.5, then m=-0.5 and the equation of the line is

This line passes throughthe point (10,1), then the coordinates of this point satisfy the equation of the line:

and the equation of the line is

Since b=6, the y-intercept of the line is 6.