<span>20x + 12y = 1040
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12y' to each side of the equation.
20x + 12y + -12y = 1040 + -12y
Combine like terms: 12y + -12y = 0
20x + 0 = 1040 + -12y
20x = 1040 + -12y
Divide each side by '20'.
x = 52 + -0.6y
thats the first part
then we have
</span>25x + 16y = 1350
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-16y' to each side of the equation.
25x + 16y + -16y = 1350 + -16y
Combine like terms:
16y + -16y = 0
25x + 0 = 1350 + -16y
25x = 1350 + -16y
Divide each side by '25'.
x = 54 + -0.64y
Answer:
x = 36
Step-by-step explanation:
We have the equation (2/9)x + -2 = 6.
First, notice that adding a negative number is the same as subtracting by that number. So:
(2/9)x + -2 = 6
(2/9)x - 2 = 6
Now, we need to isolate the variable. Add 2 to both sides to cancel out the -2 on the left:
(2/9)x -2 + 2 = 6 + 2
(2/9)x = 8
Now multiply both sides by 9/2 to cancel out the 2/9 on the left:
(9/2) * (2/9)x = 8 * (9/2)
x = 72/2 = 36
Thus, x = 36.
<em>~ an aesthetics lover</em>
For this case we will define the following:
A, B: are the values of the triangle angles
a, b: are the values of the lengths of the sides opposite the angles A, B.
We then have to use the law of the sine:

Clearing the angle B we have:

Substituting values we have:
Answer:
the following is true:
A. angle B=38.08 degrees
<h3>
Answer: 35 (choice C)</h3>
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Explanation:
For any triangle, the three interior angles always add to 180.
D+E+F = 180
(7b+1) + (2b+1) + (b+8) = 180
(7b+2b+b) + (1+1+8) = 180
10b+10 = 180
10b = 180-10
10b = 170
b = 170/10
b = 17
Use this value of b to find the three angle measures
- D = 7b+1 = 7*17+1 = 119+1 = 120
- E = 2b+1 = 2*17+1 = 34+1 = 35 degrees
- F = b+8 = 17+8 = 25
As a check,
D+E+F = 120+35+25 = 120+60 = 180
which helps confirm the correct answers.
We can create the equation like this:
(x +2) * (x +0)
x^2 + 2x + 0 = 0