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mars1129 [50]
3 years ago
13

Megan bikes west to get from her apartment to school after school she bikes 8 miles north to her friends house how far is megans

apartment from her friends house, measured in a straight line

Mathematics
1 answer:
snow_tiger [21]3 years ago
4 0
The complete question: <span>Megan bikes 6 miles west to get from her apartment to school. After school, she bikes 8 miles north to her friend's house. How far is Megan's apartment from her friend's house, measured in a straight line?

So,Megan's apartment, the school, and Megan's friend's house form a right triangle with legs 6 miles and 8 miles as you can see in the attached picture; the hypotenuse of the right triangle is the straight distance is from Megan's apartment to her friend's house. To find that distance we are going to use the Pythagorean theorem:
</span>h= \sqrt{(6mi)^2+(8mi)^2}
h= \sqrt{36mi^2+64mi^2}
h= \sqrt{100mi^2}
h=10mi
<span>
We can conclude that distance between Megan's apartment and her friend's house is 10 miles.</span>

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If rectangle ABCD is rotated counter clock wise 90º about the origin, what will be the coordinates of the vertex D'?
7nadin3 [17]
So, the best way to do this is translate it to clockwise. 90 degrees counterclockwise is equal to 270 degrees clockwise. So, basically, to rotate, you would follow the following format for each point-
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Hope this helped!
4 0
3 years ago
Pls help my with one and two asap
Dafna11 [192]

Answer:

Step-by-step explanation:

for nr. 1

sum of angles in  a triangle=180

x=180-(81+84)=15

acute triangle

for nr.2

x=180-(24+36)=120

obtuse triangle

4 0
3 years ago
A flagpole is 12 feet tall. Its shadow is 14 ft long. How far is it from the top of the
Kisachek [45]

Answer:

Step-by-step explanation:

AC = length of flagpole = 12 ft

AB = length of shadow = 14 ft

BC = length from the top of the flagpole to the end of the shadow = x ft

Use Pythagorean theorem to find the length of x,

x² = AC² + BC²

   = 12² + 14²

  = 144 + 196

  = 340

x = √340

x = 18.4 ft

3 0
2 years ago
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