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garik1379 [7]
3 years ago
7

Given that angle one is congruent to angle to how do you prove that P is parallel to Q

Mathematics
1 answer:
Sonbull [250]3 years ago
3 0

Answer:

assemble the proof by dragging tiles to the statements and reasons columns.

angles: ~= , <1 , <2 , <3,

lines: | | , p , q ,

statements: <1 and <3 are vertical reasons: given , transitive property , vertical angles theorem , def. of vertical

Step-by-step explanation:

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Why will i be a good role model essay <br>please i need help this is due tomorrow ​
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Relate the points down below to yourself and give examples

Step-by-step explanation:

You show confidence and leadership

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Two workers, a trainer and a trainee, working together can do a job in 3 hours. The trainer is 3 times faster than the trainee t
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4 hours

Step-by-step explanation:

Ratio of working together

Job : number of hours

1 : 3 = 1/3

Trainer

Job : number of hours

1 : x = 1/x

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Job : number of hours

1 : 3x = 1/3x

1/x + 1/3x = 1/3

Multiply through by 3x

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Identify the expression that is equivalent by distributive property of
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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
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Answer:

The rocket will hit the ground after about 8.20 seconds.

Step-by-step explanation:

The height of the rocket <em>y</em>, in feet, <em>x</em> seconds after launch is modeled by the equation:

y=-16x^2+121x+83

We want to find the time at which the rocket will hit the ground.

If it hits the ground, the height of the rocket <em>y</em> will be 0. Thus:

0=-16x^2+121x+83

We can solve for <em>x</em>. Factoring (if possible at all) or completing the square can be tedious, so we can use the quadratic formula:

\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

In this case, <em>a</em> = -16, <em>b</em> = 121, and <em>c </em>= 83. Substitute:

\displaystyle x=\frac{-(121)\pm\sqrt{(121)^2-4(-16)(83)}}{2(-16)}

Simplify:

\displaystyle x=\frac{-121\pm\sqrt{19953}}{-32}

Divide everything by -1 and simplify the square root. The plus/minus will remain unchanged:

\displaystyle x=\frac{121\pm3\sqrt{2217}}{32}

Therefore, our two solutions are:

\displaystyle x=\frac{121+3\sqrt{2217}}{32}\approx 8.20\text{ or } x=\frac{121-3\sqrt{2217}}{32}\approx -0.63

Since time cannot be negative, we can ignore the second solution.

Therefore, the rocket will hit the ground after about 8.20 seconds.

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