11] (8•10^-3)(2•10^10
1 answer:
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Answer: $26.98
Step-by-step explanation:
1. You have the following information given in the problem above:
- Lou filled the tank with gas that cost $3.80 per gallon.
- Lou's car had 5.9 gallons in the 13-gallon tank.
2. Therefore, if he filled the tank, you can calculate the total amount of money Lou spent, by subtracting 13 gallons and 5.9 gallons and multiplying the result by $3.80.
3. Then, the result is:
Answer:
Step-by-step explanation:
Let's start by identifying relevant angle theorems for two parallel lines cut by a transversal.
Alternate Interior Angles Theorem
Two angles that are on different sides of the transversal and inside of the two parallel lines are congruent (=).
Alternate Exterior Angles Theorem
Two angles that are on different sides of the transversal and outside of the two parallel lines are congruent (=).
Same-side Interior Angles Theorem
Two angles that are on the same side of the transversal and inside of the two parallel lines are supplementary (= 180).
Same-side Exterior Angles Theorem
Two angles that are on the same side of the transversal and outside of the two parallel lines are supplementary (=180).
Corresponding Angles Theorem
Two angles on a figure that correspond are congruent (=).
_
Now, let's look at the figure and apply these theorems.
and
are same-side exterior angles, meaning they're supplementary:
Subtract from both sides of the equation:
Now that we know our value, let's recognize that
(
)corresponds to
, meaning they're congruent:
Subtract from both sides of the equation:
Let's find the value of the angle:
Add:
Since the corresponding angles are of the same value, they're congruent, proving our &
values correct.
_
Since and the angle represented by the expression
(
°) are alternate-interior angles, they are congruent: