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OleMash [197]
2 years ago
10

Divide and write in simplest form.

Mathematics
1 answer:
iren2701 [21]2 years ago
4 0

Answer:

1. \frac{3}{17} (3/17)

2. \frac{3}{7} (3/7)

3.  \frac{45}{184} (45/184)

Step-by-step explanation:

1. \frac{\frac{3}{5} }{3\frac{2}{5}} = \frac{\frac{3}{5} }{\frac{17}{5}} = \frac{\frac{3}{1} }{\frac{17}{1}}= \frac{3}{17}

2. \frac{2}{4\frac{2}{3}} = \frac{\frac{2}{1} }{\frac{14}{3}}= \frac{2}{1} /\frac{14}{3} = \frac{2}{1} *\frac{3}{14} = \frac{6}{14} = \frac{3}{7}

3. \frac{\frac{5}{4} }{5\frac{1}{9} } = \frac{\frac{5}{4} }{\frac{46}{9}} = \frac{5}{4}/\frac{46}{9} = \frac{5}{2}/\frac{23}{9} = \frac{5}{2}*\frac{9}{23} = \frac{45}{184}

Hope this helps!

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Answer:

11. x=8, y=30

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13. x=18, y=15

Step-by-step explanation:

You have been studying the angles related to transversals and parallel lines, so you know alternate (interior or exterior) angles are congruent (equal) and same-side (interior or exterior) angles are supplementary. You also know that linear angles sum to 180°, the measure of an angle formed by a straight line.

The red arrows in these diagrams signify that the lines so marked are parallel, so the above relationships apply.

11. The diagonal line is a transversal of the top and bottom parallel lines, so the angle marked 5x° is equal to the angle marked 40°. Writing that relationship as an equation, you have ...

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... x = 40/5 = 8 . . . . divide the equation by 5° to find x

The angle marked 3y° and the angle marked with a right-angle symbol are same-side interior angles formed by the vertical transversal with the top and bottom horizontal lines. Hence those angles are supplementary.

... 3y° +90° = 180°

... 3y° = 90° . . . . . . . subtract 90°

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12. These problems make use of the sum of angles that form a line (180°) and the sum of angles in a triangle (180°).

Together 117° and w form a line, so ...

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The angles of a triangle add to give 180°, so ...

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... 63° +31° + x = 180° . . . . . put in the known value for w

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Together, x and 56° and y form a line, so the sum of their measures is 180°.

... x + 56° + y = 180°

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The sum of angles y, 117°, and z is 180°.

... 38° + 117° + z = 180° . . . . use the known value for y

... z = 180° -38° -117° . . . . . . subtract the constants on the left

... z = 25°

13. The relationships used in problem 11 also can be used here.

... 5x° + 90° = 180°

... x = (180° -90°)/5°

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The angles involving y are same-side interior angles, so are supplementary.

... 5(y +11)° + (4y -10)° = 180°

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<span>For problem 8:

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