Answer:
The shadow cast by the tree is 80 meters long.
Step-by-step explanation:
Flagpole:
object/shadow
25/50 = 1/2
Tree:
object/shadow
40/x
Solve for x:
1/2 = 40/x
x = 80
Answer:
The answer is the fourth choice.
Step-by-step explanation:
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Step-by-step explanation:
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Area of the pentagon: 342 cm2
Step-by-step explanation:
The figure of the pentagon is missing: find it in attachment.
The area of the pentagon can be seen as the area of 5 equal triangles, each of them having a base equal to the length of the side of the pentagon,
L = 14.1 cm
and the height of each triangle can be found by using Pythagorean's theorem:

The area of each of the 5 triangles is

Therefore, the area of the pentagon is 5 times this area:
Learn more about area of regular figures:
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Answer:
Step-by-step explanation:
Let the number = x
3x + 9 = 2x - 6 Looks like you are going to get something negative here.
Subtract 2x from both sides.
3x - 2x + 9 = 2x - 2x - 6
x + 9 = -6
Subtract 9 from both sides.
x + 9 - 9 = - 6 - 9
Combine
x = - 15