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, [tex] a*b = x*y [/tex]
Thus:
[tex] 8*5 = 4*(6m - 2) [/tex]
Solve for m
[tex] 40 = 24m - 8 [/tex]
[tex] 40 + 8 = 24m - 8 + 8 [/tex]
[tex] 48 = 24m [/tex]
[tex] \frac{48}{24} = \frac{24m}{24} [/tex]
[tex] 2 = m [/tex]
The value of m = 2
