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lisabon 2012 [21]
3 years ago
10

These triangles are similar and the sides are proportional. Which proportion correctly describes the situation below?

Mathematics
1 answer:
Veronika [31]3 years ago
8 0

Answer:

Option (3)

Step-by-step explanation:

"If two triangles are similar, their corresponding sides are proportional."

We will check each proportionality ratio given in the options for the given property,

Option (1),

\frac{QB}{DM}=\frac{DF}{QL}=\frac{LB}{MF}

\frac{3.5}{2}=\frac{5}{8.75}=\frac{10.5}{6}

\frac{7}{4}=\frac{4}{7}=\frac{7}{4}

But \frac{7}{4}\neq \frac{4}{7}.

Therefore, this option is not the answer.

Option (2),

\frac{FM}{LB}=\frac{BQ}{MD}=\frac{QL}{DF}

\frac{6}{10.5}=\frac{3.5}{2}=\frac{8.75}{5}

\frac{4}{7}=\frac{7}{4}=\frac{7}{4}

But \frac{4}{7}\neq \frac{7}{4},

Therefore, this option is not the option.

Option (3),

\frac{BQ}{MD}=\frac{QL}{DF}=\frac{BL}{MF}

\frac{3.5}{2}=\frac{8.75}{5}=\frac{10.5}{6}

\frac{7}{4}=\frac{7}{4}=\frac{7}{4}

Therefore, this option is the answer.

Option (4),

\frac{6}{10.5}=\frac{2}{3.5}=\frac{5}{10.5}

\frac{4}{7}=\frac{4}{7}=\frac{10}{21}

But, \frac{4}{7}\neq \frac{10}{21}

Therefore, this is not the correct option.

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Juan hikes up a mountain. He hikes back down at a constant rate. The table shows Juan's elevation at each hour after he begins h
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The linear function that describes Juan's elevation during his descent is:

B. y = -1460x + 7500.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, each hour, the height decays by 1460, hence the slope is of m = -1460, then:

y = -1460x + b.

The y-intercept is found considering that when x = 1, y = 6040, hence:

b = 6040 + 1460 = 7500.

Which means that option B is correct.

More can be learned about linear functions at brainly.com/question/24808124

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8 0
2 years ago
Factor 8x^2-56+48... please help me
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8x^2 - 56 + 48
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3 years ago
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AURORKA [14]

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4 - 3 = 1

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It's the arithmetic sequence.

a_n=a_1+(n-1)d

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substitute

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Bob and Joe start from the same point and walk in opposite directions. Bob walks 2 km/h faster than Joe. After 3 hours, they are
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Bob walked 6km/h after 3 hours = 18 km
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The answer would be the top right graph where none of the lines intersect since it shows that there is no possible real solutions for the system if none of the lines intersect on a certain point.

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