Question

If a=8 and b=5 and x=4 and y=6m -2 what is the value of m ?

Answer 1

m = 2

Explanation:

Given:

x = 4

y = 6m - 2

a = 8

b = 5

Required:

Value of m

SOLUTION:

x and y are segments of a chord divided when it intersects another chord that also has segments a and b.

According to the Intersecting chords theorem,
`a*b = x*y`

Thus:

`8*5 = 4*(6m - 2)`

Solve for m

`40 = 24m - 8`

`40 + 8 = 24m - 8 + 8`

`48 = 24m`

`(48)/(24) = (24m)/(24)`

`2 = m`

The value of m = 2