Answer:
shoe store $7.80/hour
telemarketer: $6.90/hour
Step-by-step explanation:
Let s = hourly salary at the shoe store.
Let t = hourly salary as a telemarketer.
14s + 19t = 240.3
19s + 22t = 300
Multiply both sides of the first equation by 19. Multiply both sides of the second equation by -14. Then add them.
266s + 361t = 4565.7
(+) -266s - 308t = -4200
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53t = 365.7
t = 6.9
Substitute 6.9 for t in the first equation and solve for s.
14s + 19(6.9) = 240.3
14s + 131.1 = 240.3
14s = 109.2
s = 7.8
Answer:
shoe store $7.80/hour
telemarketer: $6.90/hour
Answer: 20 feet by 20 feet.
Step-by-step explanation:
1. You know that
is the original measure of one side. Since it is a square, all its sides are equal.
2. Therefore, to solve the problem you only need to solve for
, as you can see below:
- You have that:

- Then, you obtain the following quadratic equation:

- Apply the Quadratic formula to solve it:

- Then, you obtain:

3. The dimensions cannot be negative, therefore, the answer is: 20 feet by 20 feet.
The two labeled angles are alternate interior angles, and as such, they are the same.
From this result you can build the equation

and solve it for x: subtract 13x from both sides to get

and add 2 to both sides to get

Check: if we plug the value we found we have

So the angles are actually the same, as requested.
Here ya go. Hope this helps. Have a great day