X=10 because 76-26=50 and 50/5=10, z=104 because 180-76=104
Simplifying
5C + -4 + -2C + 1 = 8C + 2
Reorder the terms:
-4 + 1 + 5C + -2C = 8C + 2
Combine like terms: -4 + 1 = -3
-3 + 5C + -2C = 8C + 2
Combine like terms: 5C + -2C = 3C
-3 + 3C = 8C + 2
Reorder the terms:
-3 + 3C = 2 + 8C
Solving
-3 + 3C = 2 + 8C
Solving for variable 'C'.
Move all terms containing C to the left, all other terms to the right.
Add '-8C' to each side of the equation.
-3 + 3C + -8C = 2 + 8C + -8C Combine like terms: 3C + -8C = -5C<span>-3 + -5C = 2 + 8C + -8C
Combine like terms: 8C + -8C = 0
-3 + -5C = 2 + 0
-3 + -5C = 2
Add '3' to each side of the equation.
-3 + 3 + -5C = 2 + 3
Combine like terms: -3 + 3 = 0
0 + -5C = 2 + 3
-5C = 2 + 3
Combine like terms: 2 + 3 = 5
-5C = 5
Divide each side by '-5'.
C = -1
Simplifying
C = -1</span>
The bisector of the angle at A (call it AQ) divides the segment BC into segments BQ:QC having the ratio AB:AC. Use this fact to find x.
.. 9:15 = (2x -1):3x
.. 15(2x -1) = 9*3x . . . . . the product of the means equals the product of extremes
.. 30x -15 = 27x
.. 3x = 15
.. x = 5
___
According to the value of x, the bisector AQ divides the triangle into two isosceles triangles: ABQ, ACQ.
<span>Simplify
0.6n = 84
Solve
By:
Move all terms containing n to the left, all other terms to the right.
Divide each side by '0.6'.
n = 140
</span><span>
So,
</span><span>84 is 60% of 140</span>
