So to start you will need to divide by -5 then -5 divided by -5 cancelle
We have similar triangles so
12/x = (12+78)/(x+13)
We can skip some algebra by doing the ratio on the pieces. We'll show it works at the end.
12/x = 78/13
x = 12(13)/78 = 2
We check
12/2 = 6
(12+78)/(2+13) = 90/15 = 6, good
Answer: x=2
Answer:
Step-by-step explanation:
Use the point-slope formula.
y - y_1 = m(x - x_1) .... x_1 = 3 and y_1 = - 1
m is the slope to x - 3y = 9 because (lines are parallel )
calculate : m by equation x - 3y = 9 :
x = 3y +9
divid by : 3 1/3 x = y + 3
y = (1/3) x - 3 so : m = 1/3
an equation parallel to x - 3y = 9 that passes through the point ( 3, -1 ) is :
y +1 = (1/3)(x - 3)
<span>Reorder the terms:
-2.3(-1.2 + x) = -9.66
(-1.2 * -2.3 + x * -2.3) = -9.66
(2.76 + -2.3x) = -9.66
Solving
2.76 + -2.3x = -9.66
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2.76' to each side of the equation.
2.76 + -2.76 + -2.3x = -9.66 + -2.76
Combine like terms: 2.76 + -2.76 = 0.00
0.00 + -2.3x = -9.66 + -2.76
-2.3x = -9.66 + -2.76
Combine like terms: -9.66 + -2.76 = -12.42
-2.3x = -12.42
Divide each side by '-2.3'.
x = 5.4
Simplifying
x = 5.4</span>
24365x = 16820
x = 16820/24365
x(rounded to the nearest tenth) = 0.70
