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erastovalidia [21]
3 years ago
13

The answer is not A or B

Mathematics
2 answers:
omeli [17]3 years ago
7 0

Answer:

Choice C) 4

Step-by-step explanation:

You can do this in multiple different ways but I will do it in the way I believe will be the fastest.

So since we already know everything on one side of the line, we can use that to find x. The line is 180° and since the angles are on the line we know that they will all add up to 180.

For this we will need an equation:

2+17x+54+56=180

Now we add the like terms:

112+17x=180

Subtract the 112 on both sides:

17x=68

Divide the 17 on both sides:

x=4

Nat2105 [25]3 years ago
4 0

Answer:

C) 4

Step-by-step explanation:

Arcs on one side of the diameter adds upto 180°.

Therefore,

(2 + 17x) \degree + 54 \degree + 56 \degree = 180 \degree \\  \\ (2 + 17x) \degree + 110 \degree  = 180 \degree \\  \\ (2+ 17x) \degree = 180 \degree  - 110 \degree\\  \\  (2 + 17x) \degree = 70 \degree  \\  \\ 2 + 17x = 70 \\ 17x = 70 - 2 \\  \\ x =  \frac{68}{17}  \\  \\ x = 4

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