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Fudgin [204]
3 years ago
12

The diagram illustrates a decorative lamp that is suspended from a ceiling by two strings. The first string is 43 centimeters lo

ng and makes a 50° angle with the horizontal. The second string is 35 centimeters long and makes a 70° angle with the horizontal. What is the distance between the points of suspension of the strings on the ceiling?
a:25.0 centimeters
b:38.3 centimeters
c:39.6 centimeters
d:42.4 centimeters
Mathematics
1 answer:
Leviafan [203]3 years ago
5 0
D because it is the only possible solution ever .......................................

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The sum of four and a number multiplied by two

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Solve the equation. 10.35+2.3h=-9.2
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Answer:

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10.35+2.3h=-9.2

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When the question says that triangle ABC ~ triangle DEF, that means the triangles are similar. This means that their proportions are the same.
In triangle ABC, side length AB is the equivalent of side length DE in triangle DEF.

Since the proportions must be the same, we can take the known side from triangle ABC, find the equivalent of it on triangle DEF, and find the proportions.
We already found that side length AB ~ side length DE.
Now we can divide the lengths to find the proportions.
28 / 8 = 3.5
This means that each side on triangle ABC will be 3.5 times greater than the equivalent side on triangle DEF.

The length of AC in triangle ABC is 3.5 times the length of DF in triangle DEF.
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So the length of AC is 35 units.

Answer:
Side length AC in triangle ABC is 35 units.

Hope this helps!
7 0
3 years ago
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