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Nikitich [7]
3 years ago
8

The exterior angles of a triangle measure x + 3, 2x + 1, and 3x - 4. Find the measure of each exterior angle. A) 18°, 31°, and 4

1° B) 23°, 41°, and 56° C) 33°, 61°, and 86° D) 63°, 121°, and 176°
Mathematics
1 answer:
Pachacha [2.7K]3 years ago
5 0
<span>We know that, the sum of the exterior angles of a polygon is 360 i.e., (x+3) + (2x+1) +(3x-1) = 360 i.e., x+2x+3x+3+1-4 = 360 i.e., 6x = 360 Therefore, x = 60 Now, x+3 = 60+3 =63 2x+1 = 2*60 +1 =120 + 1 = 121 3x-4 = 3*60 - 4 = 180 - 4 = 176 The exterior angles are 63, 121 and 176</span>
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Step-by-step explanation:

Given the expression that modeled the relationship between these quantities (calories from grams of carbohydrate and the rest of the ingredients) as

4c+5 = 27

From the equation, the constant value of 5 represents the calories in grams of  the rest of the ingredients present in the bite.

Let us calculate the value of c from the equation

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4c + 5- 5 = 27-5

4c = 22

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c = 5.5

This means that the total calories of carbohydrate the granola bite contains is 4(5.5) i.e 21 calories of carbohydrate

<em>Note that 8 cannot be the solution to the equation because for us to eliminate 5 from both sides of the equation, we need to subtract it from both sides not add. If 5 was added to both sides, the value of c would have been (32/4 i.e 8) which would have been wrong.</em>

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3 0
2 years ago
Find the value of Z for the triangles
kolbaska11 [484]

Answer:

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