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barxatty [35]
3 years ago
13

Katherine wants to prove that the measures of the interior angles of a triangle have a sum of 180. She draws a triangle and exte

nds one of the sides through a vertex. She then draws a line through this vertex that is parallel to the opposite side
Mathematics
1 answer:
Oliga [24]3 years ago
8 0

Answer:

As we know, if we add up the interior and exterior angles of one corner of a triangle, we always get 180. the exterior angle in question is equal to the sum of the other two angles in the triangle

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When a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a constant amount each year f
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Answer:

Option D is the correct answer.

Step-by-step explanation:

Initial height = 4 feet

Given that the height of the tree increased by a constant amount each year for the next 6 years. At the end of the 6th year, the tree was 1/5th taller than it was at the end of the 4th year.

Let the rate of growing each year be g.

After 6 years height of tree = 4 + 6g

After 4 years height of tree = 4 + 4g

At the end of the 6th year, the tree was 1/5th taller than it was at the end of the 4th year.

That is

                4+6g=4+4g+\frac{4+4g}{5}\\\\4+6g=\frac{20+20g+4+4g}{5}\\\\20+30g=24+24g\\\\6g=4\\\\g=\frac{2}{3}ft/year

Option D is the correct answer.    

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There are 4 students on a team for a relay race. How many teams can be made from 27 students?
Lina20 [59]
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The radius of a circle with an area of 60 square centimeters is represented by the expression √60/π centimeters. What is another
monitta

Answer:

r= 2 √(15/π)

Step-by-step explanation:

Given that :

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Area=\pi r^2\\60=\pi r^2\\\\\sqrt{\frac{60}{\pi}}=r\\\\\sqrt{\frac{15\times 4}{\pi}}=r\\2\sqrt{\frac{15}{\pi}}=r

Hence the radius can be written as 2 √(15/π)

3 0
3 years ago
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