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GalinKa [24]
4 years ago
10

Where can the lines containing the altitudes of an obtuse triangle intersect?

Mathematics
1 answer:
yawa3891 [41]4 years ago
4 0
Answer: Choice C) III only

As shown in the attached image, the altitudes are lines that are perpendicular to the sides of the triangle and they go through the opposite vertex. In the example shown, the orthocenter is the result of intersecting the altitudes. The orthocenter is outside the obtuse triangle. It will never be on the triangle or on the inside of the triangle.

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Find the common ratio of the geometric sequence: −320,80,−20,5,…−320,80,−20,5,… A. −14−14 B. 1414 C. -4 D. 4
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I'm assuming the sequence is: -320, 80, -20, 5

Divide each term by the previous term to get the common ratio r

r = (term 2)/(term 1) = 80/(-320) = -1/4
r = (term 3)/(term 2) = -20/80 = -1/4
r = (term 4)/(term 3) = 5/(-20) = -1/4

No matter which term you pick (as long as it's not the first one) dividing it by the previous term leads to -1/4 or -0.25 as the common ratio

Answer: -1/4

It seems like none of the answer choices have -1/4 but it could be choice A was supposed to show "-1/4" instead of "-14"? Perhaps the division sign didn't show up for some reason?

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For every 15 minutes of a show, there are two minutes to commercial. At this rate, if leila has seen 45 minutes of a show, how m
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51 minutes.

Step-by-step explanation:

We have been given that for every 15 minutes of a show, there are two minutes to commercial. At this rate, Leila has seen 45 minutes of a show. We are asked to find the time for which Leila has been watching TV.

We will use proportions to solve our given problem.

\frac{\text{Minutes of TV show + Advertisement}}{\text{Minutes of TV show}}=\frac{15+2}{15}

\frac{\text{Minutes of TV show + Advertisement}}{\text{Minutes of TV show}}=\frac{17}{15}  

Upon substituting our given values, we will get:

\frac{\text{Minutes of TV show + Advertisement}}{45}=\frac{17}{15}

\frac{\text{Minutes of TV show + Advertisement}}{45}\times 45=\frac{17}{15}\times 45

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Therefore, Leila has been watching TV together for 51 minutes.

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