Answer:
x = 42
Step-by-step explanation:
The marked angles are supplementary, so their sum is 180°.
(2x +8) +(2x +4) = 180
4x +12 = 180 . . . . . . . . . simplify
x +3 = 45 . . . . . . . divide by 4 (because we can)
x = 42 . . . . . . subtract 3
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<em>Additional comment</em>
A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.
Answer: About 3.06
Step-by-step explanation:
We can use trigonometry functions to solve for AC. Let the ?, representing AC, be "x" in our mathematical work.
Since we have the hypotenuse and x is adjacent to the angle given, I am going to use cosine.
cos(θ) = 
cos(40) = 
0.766 ≈
3.06 ≈ x
x ≈ 3.06
With $17.50 she can get 11 2/3 gallons. 11 (she just got) + 8 (that she had) = 19 gallons. 19 x 27 MPG = 513 Miles.
27 divided by 3 = 9 (9 is a third of the MPG) 9 x 2 (since it was 2 thirds that were left) = 18
In total she can drive 531 miles.
If you mean in word form, then it should be as follows;
Three million one hundred and fifty-two thousand three hundred and eight.
If you don't mean word form, you will have to be a little more specific.
