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Fynjy0 [20]
3 years ago
7

Find x. Assume that any segment that appears to be tangent is tangent.

Mathematics
1 answer:
Mamont248 [21]3 years ago
6 0
The value of x is 21.

To find this one, we need to know the formula with intersecting lines outside of the circle.

It is that if you subtract the smaller arc from the larger arc and divide by 2, you will have the exterior angle.

Therefore, we can write and solve the following equation:

(5x - 63) / 2 =x
5x - 63 = 2x
3x = 63
x = 21
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Are x+4=5 and 2x+8=10 equivalent equations?
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Answer:

Yes

Step-by-step explanation:

You can find the answer to this question by finding the value of x in both equations.

Let's start off with the first equation: x+4=5

To find the value of x, you're going to have to subtract 4 from both sides. This is because you're looking for the value of only x, not x + 4. To leave x alone, you'd have to subtract 4, leaving that side with just x.

x+4-4=5-4

x=1

The answer to the first equation is x = 1.

Now let's start on the second equation: 2x+8=10

Like before, you're looking for x alone and in this equation, 8 is being added to 2x. Although x itself isn't alone, you'll first start off with 2x since you can simplify it thrughout the process. In this equation, you're going to subtract 8 from both sides to leave the variable x alone.

2x+8-8=10-8

2x=2

Now you're left with 2x = 2. Since you're looking for the value of x alone, you're going to divide both sides by 2. Because x is being multiplied by 2(2 times x = 2x) you're going to divide(opposite of multiply), which will cancel out the 2(in 2x).

\frac{2x}{2} = \frac{2}{2}

x = 1

The answer to the second equation is x = 1.

<em> Since both equations have the same solution, the answer to your question would be </em><em>yes</em><em>.</em>

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