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Leviafan [203]
2 years ago
14

Please help, legit need to study for so many exams and this is the last thing on my mind to do. Appreciate anybody willing to he

lp <33

Mathematics
1 answer:
Ivenika [448]2 years ago
8 0

Answer:

x=13

z=84

Step-by-step explanation:

The intersection of two of these lines actually have relationships. The two angles that have the variable x both add up to 180 degrees since we assume for them to be a straight line, and the angle with '11x-59' is equal to Z since they are vertical from each other.

Knowing this, we can add the two equations together and equal it to 180. This is to give us the variable x.

(11x-59)+(13x-73)=180       (always use parenthesis!)

24x-132=180                     (combine like terms)

24x=312

x=13                                   (isolate x)

We now know that the x stands for 13, but we are not done. By plugging in the variable x in for the equation 11x-59, we can find the value of z since they are vertical angles.

11(13)-59=84

z=84

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Given the equation representing the pathway of sam's dive into the swimming pool, his height after two seconds is -22ft.

<h3>What is a Quadratic Equation?</h3>

Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;

ax² + bx + c = 0

Where x is the unknown

Given the data in the question

  • Equation of the pathway of sams dive into the swimming pool is h = -16t² + 15t + 12.
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Now, to get the height after 2 seconds, we substitute 2 for t in the equation.

h = -16t² + 15t + 12.

If t = 2

h = -16(2)² + 15(2) + 12

h = -16(4) + 30 + 12

h = -64 + 30 + 12

h = -64 + 42

h = -22ft

Therefore, given the equation representing the pathway of sam's dive into the swimming pool, his height after two seconds is -22ft.

Learn more about quadratic equations here: brainly.com/question/1863222

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