Question

Find the value of x in the figure below.

Answer 1

Hey there!!

The line which is arising from the center point cuts the chord into exact halves.

Remember, the diameter always cuts the chords into equal halves.

Hence, this would result as:

... 5x-7=3x+5

Subtracting 3x on both sides:

... 2x-7=5

Adding 7 on both sides:

...2x=12

Dividing by 2 on both sides:

... x=12/2

... x=6

Hence, the value of 'x' is 6.

Hope this helps!

Answer 2

Answer:

6

Step-by-step explanation:

The figure inside the circle is symmetric.  Therefore, 3x + 5 = 5x - 7.  Solving for x, we subtract 3x from both sides and then add 7 to both sides.  This comes out to 2x = 12, meaning that x must be 6.