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kodGreya [7K]
3 years ago
15

Geometry, Triangle in a circle. Find X show work and explain please

Mathematics
1 answer:
nikklg [1K]3 years ago
7 0

Answer: x=7

Step-by-step explanation:

By the Intersecting Secants Theorem, we know that:

(5)(x+5)=(6)(6+4)

Having this, we can find the value of "x" by solving for "x":

Applying Distributive property:

(5)(x+5)=(6)(24)\\5x+25=60

Subtract 25 from both sides of the equation:

5x+25-25=60-25\\5x=35

And finally dviding both sides of the equation by 5, we get:

\frac{5x}{5}=\frac{35}{5}\\x=7

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