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SSSSS [86.1K]
3 years ago
8

The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both increased by 2

, the fraction is now equal to 2/3.
If n = the numerator and d = the denominator, which of the following systems of equations could be used to solve the problem?


A) 5n = 3d and 3n + 6 = 2d + 4

B) 5n = 3d and 4n + 4 = 3d + 6

C) 3n = 5d and 3n + 6 = 2d + 4
Mathematics
1 answer:
butalik [34]3 years ago
6 0

Answer:

The correct answer is A) 5n = 3d and 3n + 6 = 2d + 4

Step-by-step explanation:

hope this is right...

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The measure of two opposite interior angles of a triangle are and. The exterior angle of the0x−14x+4triangle measures. Solve for
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Step-by-step explanation:

Restructured question:

The measure of two opposite interior angles of a triangle are x−14 and x+4. The exterior angle of the triangle measures 3x-45 . Solve for the measure of the exterior angle.

First you must know that the sum of interior angle of a triangle is equal to the exterior angle

Interior angles = x−14 and x+4

Sum of interior angles = x-14 + x + 4

Sum of interior angles = 2x - 10

Exterior angle = 3x - 45

Equating both:

2x - 10 = 3x - 45

Collect like terms;

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Get the exterior angle:

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Hence the measure of the exterior angle is 60 degrees

<em>Note that the functions of the interior and exterior angles are assumed. Same calculation can be employed for any function given</em>

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