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2 years ago

Solve for the indicated missing segment length.

Mathematics

1 answer:

shusha [124]2 years ago

8 0

Applying the triangle proportionality theorem, the missing segment length is: 3.

<h3>What is the Triangle Proportionality Theorem?</h3>

The triangle proportionality theorem states that if a line that is parallel to a third side intersects the other two sides of a triangle, it divides them proportionally.

Let x represent the given segment length. Using the triangle proportionality theorem, we would have:

(12 - 2)/2 = 15/x

10/2 = 15/x

5 = 15/x

5x = 15

x = 15/5

x = 3

The missing segment length is: 3.

Learn more about the triangle proportionality theorem on:

brainly.com/question/25855270

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Step-by-step explanation: hope this helps :)

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3 years ago

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3 years ago

A bag contains blue and yellow counters.

ale4655 [162]

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2 years ago

In the xy coordinate plane the slope of line p is 1 2 and its x-intercept is -3. Find the equation of a line that is perpendicul

Novosadov [1.4K]

Answer:

Option C) y = -2x - 6

Step-by-step explanation:

<u><em>The correct question is</em></u>

In the xy coordinate plane the slope of line p is 1/2 and its x-intercept is -3. Find the equation of a line that is perpendicular to p and intersects p at is x-intercept.

step 1

Find the slope of a line that is perpendicular to p

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)

$m_1*m_2=-1$

we have

$m_1=\frac{1}{2}$ ----> slope of line p

substitute

$(\frac{1}{2})*m_2=-1$

$m_2=-2$ ----> slope of the line perpendicular to p

step 2

Find the equation of the line that is perpendicular to p and intersects p at is x-intercept

we have

$m=-2$

$point\ (-3,0)$

Find the equation of the line in point slope form

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4 years ago

A university has 29,670 students. In a random sample of 255 students, 17 speak three or more languages. Predict the number of st

nikdorinn [45]

I am sorry but it is just an example !

Question ) A university has 30,330 students. In a random sample of 270 students, 18 speak three or more languages. Predict the number of students at the university who speak three or more languages.

Answer ) 2,022 students will speak three or more languages

Here's why:
Using proportions.
18. x
--- =. ----
270. 30,330

Cross multiply
18 x 30,330 = 545,940
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545,940 divided by 270 = 2,022
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4 0

3 years ago

Read 2 more answers