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qwelly [4]
3 years ago
6

Hey can anyone help with this question please and thank you

Mathematics
2 answers:
Law Incorporation [45]3 years ago
6 0

Answer:

x = 16

Step-by-step explanation:

7x + 9 = 9x - 23

9 + 23 = 9x - 7x

32 = 7x

32 / 7 = x

16 = x

Viefleur [7K]3 years ago
4 0
Since < (7x + 9) is an interior angle and < (9x - 23) an exterior angle — these angles are on the same side of the transversal, line t. Therefore, they are corresponding angles with the same measure.

Hence, we can establish the following equality statement to solve for x:

< (7x + 9) = < (9x - 23)

Subtract 7x from both sides:

7x - 7x + 9 = 9x - 7x - 23
9 = 2x - 23

Add 23 on both sides:

9 + 23 = 2x - 23 + 23
32 = 2x

Divide both sides by 2 to solve for x:

32/2 = 2x/2
16 = x

Therefore, x = 16.

Substitute x = 16 into the equality statement to verify whether it is the correct value:

< (7x + 9) = < (9x - 23)
7(16) + 9 = 9(16) - 23
112 + 9 = 144 - 23
121 = 121 (True statement. Therefore, x = 16 is the correct answer).


Please mark my answers as the Brainliest if you find my solution helpful :)
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g Suppose a movie starts at 5:00 p.m. and Lindsay, a customer who is always late, arrives at the movie theater at a random time
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Answer:

We get the height of the uniform density curve:

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Step-by-step explanation:

We know that a movie starts at 5:00 p.m. and Lindsay, a customer who is always late, arrives at the movie theater at a random time between 5:10 p.m. and 5:55 p.m.

Therefore, we get a uniform distribution between 10 and 55 min.

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In ∆PQR and ∆TSU

\because\begin{cases}PQ\approx TS \\ QR\approx TU \angle \\ Q\approx \angle T\end{cases}

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