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xeze [42]
3 years ago
12

Two right triangles are similar. The legs of one of the triangles are 5 and 12. The second right triangle has a hypotenuse with

a length of 39. What is the scale factor between the two triangles?
a. 4:3
b. 1:3
c. 2:6
d. 1:2
Mathematics
1 answer:
prohojiy [21]3 years ago
7 0

Answer:

b. 1:3

Step-by-step explanation:

To find the hypotenuse of the first triangle, use a^2 + b^2 = c^2

c = sqrt (5^2 + 12^2)

c = 13

From here, since they are similar, you can set up a proportion

13:39

1:3

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Step-by-step explanation:

1. As shown by the sample space and the tree diagram, there are 8 total possibilities.

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3. There are 4 outcomes that allow the middle child to be a girl, and 4/8 = 1/2.  There will only be a girl middle child with BGB, GGG, BGG, and GGB.

4. We can think of at least as meaning no less than two boys, which includes two to three boys.  The only outcomes that have either two or three boys is BBB, BBG, BGB, GBB.  4/8 = 1/2.

5. We can think of at most as meaning no more than one girl.  The only outcomes that have only one girl are BBG, BGB, and GBB, which is 3/8.

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