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

Question

asked Oct 9, 2020 199k views

2 Answers

Leondra · Answer 1 · 2020-10-14T04:30:49+0000

Answer:

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:

$(5x)/(5)=(35)/(5)\\x=7$