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mel-nik [20]
2 years ago
12

2. in the figure, x is an exterior angle to the triangle below. (

Mathematics
1 answer:
Lyrx [107]2 years ago
5 0

Answer:

< x = 120°

Step-by-step explanation

Step 1:

According to angle sum property,

y + 50 + 70 = 180

Step 2:

x and y are linear pairs, forming a supplementary angle.

Therefore,

x + y = 180

Step 3:

Since they are both equal to 180, equate the values

y + 50 + 70 = x + y

x = 70 + 50

x = 120

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Shtirlitz [24]

Answer:

x =8 is the equation of the tangent.

Step-by-step explanation:

Here the equation of the given circle is: (x-3)^{2}  + (y+2)^{2}  = 25

Now, comparing it with the general equation of circle: (x-h)^{2}  + (y -k)^{2}  = r^2

we get the central coordinates (h,k)  = (3,-2)

So, the slope of the line joining center and (8, -2) = \frac{-2 -(-2)}{8-3} = \frac{0}{5} = 0

Since the slope of line = 0, line is parallel to x axis.

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⇒Slope of the tangent = -1/ slope of the line = \frac{-1}{0}

Now, by point slope formula: the equation of the tangent is

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or, (y +2) = \frac{-1}{0} (x -8)

or x =8 is the equation of the tangent.

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3 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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