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Ludmilka [50]
3 years ago
13

Each lapel on a suit jacket is in the shape of a triangle two of the three angles of each triangle measures 47 and 68 what is th

e measure of the third angle
Mathematics
1 answer:
vekshin13 years ago
5 0

The measure of the third angle is 65°

Step-by-step explanation:

Each lapel on a suit jacket is in the shape of a triangle

  • Two of the three angles of each triangle measures 47 and 68
  • We need to find the measure of the third angle

In a triangle:

∵ The sum of the measures of the interior angles = 180°

∵ The measure of one angle = 47°

∵ The measure of other angle = 68°

- Substitute the measures of the two angles in the rule above

∴ 47 + 68 + measure 3rd angle = 180°

- Add the like terms

∴ 115 + measure 3rd angle = 180°

- Subtract 115 from both sides

∴ measure 3rd angle = 65°

The measure of the third angle is 65°

Learn more:

You can learn more about the triangles in brainly.com/question/13013931

#LearnwithBrainly

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Part 1: If the roots of a polynomial are a, b, and c, then the factors can be written in the form (x - a), (x - b), and (x - c). In this case, we have (x - 3), (x - [3 + i]), and (x - [3 - i]). The three factors are (x - 3)(x - 3 - i)(x - 3 + i).

Part 2: The two factors with complex terms are (x - 3 - i)(x - 3 + i), and multiplying these terms as a difference of two squares can give:
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(x^2 - 6x + 10)(x - 3)
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A produce store sold 45 red apples. If the ratio of red apples to green apples sold was 5 : 2, what is the combined amount of re
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The ratio of Red Apples to Green Apples is 5:2. The proportion of red apple is 5/7.

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So the combined amount of red and green apples sold = No of red apples sold divided by the proportion of red apples = 45/ (5/7) = 63

The combined amount of red and green apples sold is 63 apples.

6 0
3 years ago
A 42-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece
Karo-lina-s [1.5K]

Answer: 7 inches

Step-by-step explanation:

       If x is the first piece, and the second piece is twice as long, then the second piece is 2x.

        If the third piece is three times as long as the first piece, x, then the third piece is 3x.

       The 42-inch board must be equal to all 3 pieces, so we will set up an equation and solve for x.

42 = x + 2x + 3x

42 = 6x

42 = 6x

7 = x

              The first piece is 7 inches long.

<em>Learn more about </em><em>your question</em><em> here: brainly.com/question/20320071</em>

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