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Viktor [21]
3 years ago
11

A triangular table has angles with measures in the ratio 7:9:4. What is the measure of the smallest angle?

Mathematics
1 answer:
Paraphin [41]3 years ago
8 0
The angles must add to 180 degrees.
Since the angles are in the ratio 7:9:4, their measures are not 7, 9, and 4 since 7, 9, and 4 do not add to 180.  If you multiply 7, 9, and 4 by the same number, the new numbers will be in the same ratio. Since we do not know what that number is, we can use x for it.

Multiply 7, 9, and 4 by x to get
7x, 9x, and 4x.
Now add them and set equal to 180.
Then solve for x.

7x + 9x + 4x = 180

20x = 180

x = 9

Now that we know x equals 9, substitute x with 9 and evaluate 7x, 9x, and 4x to find the actual angle measures.

7x = 7 * 9 = 63
9x = 9 * 9 = 81
4x = 4 * 9 = 36

The angles measure 63, 81, and 36 degrees.
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So there are 3 clubs:

  • Club A, with 10 students.
  • Club B, with 4 students.
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The possible combinations of 2 students from different clubs are

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The number of combinations for each of these is given by the product between the number of students in the club, so we get:

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  • Club B with club C. 4*5 = 20

For a total of 40 + 50 + 20 = 110 different combinations.

This means that there are 110 different ways in which 2 students from different clubs can be selected.

If you want to learn more about combination and selections, you can read:

brainly.com/question/251701

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