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dem82 [27]
2 years ago
9

Theorem: A line parallel to one side of a triangle divides the other two proportionately.

Mathematics
1 answer:
Kisachek [45]2 years ago
8 0

Answer:

Segment BF = 16

Step-by-step explanation:

The given theorem states that a line parallel to one side of a triangle divides the other two sides proportionately

The given theorem is the Triangle Proportionality Theorem

According to the theorem, given that segment DE is parallel to segment BC, we have;

\dfrac{AD}{BD} = \dfrac{AE}{EC}

Therefore;

BD = \dfrac{AD}{\left(\dfrac{AE}{EC} \right) }  = AD \times \dfrac{EC}{AE}

Which gives;

BD = 6 \times \dfrac{18}{12}= 9

Similarly, given that EF is parallel to AB, we get;

\dfrac{AE}{EC} = \dfrac{BF}{FC}

Therefore;

BF = FC \times \dfrac{AE}{EC}

Which gives;

BF = 24 \times \dfrac{12}{18} = 16

Therefore, the statement that can be proved using the given theorem is segment BF = 16.

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<span>replace Y = 5x - 13
into
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4x + 3 (5x - 13) = 18
4x + 15 - 39 = 18
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4x = 42
x = 42/4
x = 10.5

Y = 5(10.5) - 13
=  52.5 - 13
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answer: x = 10.5 and y = 39.5
3 0
3 years ago
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2 years ago
There are 60 minutes in an hour. The total number of minutes is a function of the number of hours, as shown in the table. Does t
Alexxx [7]

Answer:

Step-by-step explanation:

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Step-by-step explanation:

Since, if the rate of change for y ( output value ) with respect to x ( input value ) remains constant for a function then it is called linear function.

Here, number of hours represents input value and minutes represents the output value,

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3 0
2 years ago
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Answer:

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Step-by-step explanation:

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We know that,

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Credit to handgunmaine: https://brainly.in/question/13030745

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