Question

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

Answer 1

Answer:

m = 2

Step-by-step 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

$40 = 24m - 8$

$40 + 8 = 24m - 8 + 8$

$48 = 24m$

$\frac{48}{24} = \frac{24m}{24}$

$2 = m$

The value of m = 2