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3 years ago

Which of the following is defined by a line parallel to one side of a triangle

Mathematics

1 answer:

Katarina [22]3 years ago

3 0

Answer:

Triangle Proportionality Theorem is defined by a line parallel to one side of a triangle divides the other two sides proportionally.

Step-by-step explanation:

Triangular Proportionality Theorem states that:

If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally.

Let us consider the triangle ΔABC as shown in attached figure.

$DE$ ║ $AC$

then

$\frac{BD}{DA} = \frac{BE}{EC}$

Therefore, Triangle Proportionality Theorem is defined by a line parallel to one side of a triangle divides the other two sides proportionally.

Keywords: Triangle Proportionality Theorem, triangle, line segment

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The graph below represents which of the following functions?

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago

Linda and Imani are each traveling in a car to the beach. Linda’s travel is modeled by a table. Imanis travel it modeled by grap

tino4ka555 [31]

Answer:

Imani traveled faster because her distance surpassed Linda's distance after the fourth hour.

Step-by-step explanation:

1. Understand the slope:

Ok, so the slope basically tells us how fast Imani and Linda traveled, so if we solve for the slope we know how fast Imani and Linda traveled.

2. Find Linda's slope:

- Take any two points: (0,10) and (1, 65).

Slope = (y1 - y2)/(x1 - x2)

= (65-10)/(1-0)

= 55

Since the slope is 55, we know her speed is 55 miles per hour.

2. Find Imani's slope:

- Take any two points: (0,0) and (1, 60).

Slope = (y1 - y2)/(x1 - x2)

= (60-0)/(1-0)

= 60

Since the slope is 60, we know her speed is 60 miles per hour.

3. Compare: Since 60>55, we know Imani traveled faster. If we look at options, we can see there's only one answer which shows that Imani traveled faster, so that must be the answer.

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3 years ago