When you have two parallel lines being cut by a transversal, you can use the next statements for the angles:
The measurement of the angles in green is the same (are congruents)
The measurement of the angles in blue is the same (are congruents)
An angle in green is a complementary angle with an angle in blue. (The addition of the two angles has to be 180º)
You know that:

As the angle 3 is congruent with angle 2:
Answer:
5 weeks
$175
Step-by-step explanation:
Bill owes his mother $300 and plans to pay her $25 every week.
Therefore, after w weeks he has to give her mother more C = 300 - 25w, amount of money.
Steve owes his mother $550 and plans to pay her $75 every week.
Therefore, after w weeks he has to give her mother more C = 550 - 75w, amount of money.
If after w weeks they both will owe their mother the same amount of money, then
300 - 25w = 550 - 75w
⇒ w = 5 weeks. (Answer)
Now, the amount of money will be $(300 - 25 × 5) = $175. (Answer)
Answer:
Bryson’s age is 14 years
Step-by-step explanation:
Let
x ----> Bryson’s age
we know that
Bryson’s age multiplied by 3 minus 4 must be equal to 38
so
The linear equation that represent this situation is

solve for x
Adds 4 both sides


Divide by 3 both sides

therefore
Bryson’s age is 14 years
Divide 17.5 by 0.07
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<h2>
Explanation:</h2>
The vertex form of the equation of a parabola is given by the following form:

In this exercise, we have the following equation:

From here, we can conclude that:

Since the leading coefficient is less than zero, the parabola open downward. So, the graph is shown below and the vertex has been indicated.
<h2>Learn more:</h2>
Finding leading coefficient: brainly.com/question/1469367
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