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andrew-mc [135]
3 years ago
13

Solve for x. Assume that lines which appear tangent are tangent.

Mathematics
1 answer:
NeX [460]3 years ago
8 0

Answer:

x=2

Step-by-step explanation:

The angle formed by two tangents intersecting outside of  a circle is half the difference of the intercepted arcs.

This implies that:

55=\frac{1}{2}(116x+3-(180-55))

We need to simplify this ad solve for x to get:

110=(116x+3-125)

Group the similar terms to  get:

110-3+125=116x

232=116x

Divide by 116 to get:

x=2

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myrzilka [38]

For this case we have the following equation:

4 ^ {(x-2)} = 8 ^ 6

We must create equivalent expressions in the equation, so that they have equal bases:

2 ^ {2 * (x-2)} = 2 ^ {3 * 6}

If the bases are the same, then the two expressions are only equal if the exponents are equal:

2 (x-2) = 3 * 6\\2 (x-2) = 18\\2x-4 = 18\\2x = 18 + 4\\2x = 22\\x = \frac {22} {2}\\x = 11

Answer:

x = 11

Option D

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