Find the value of x and the length of both chords if BW=2x+10, WD=4, CW=7x+5, and WE=2. Please show your work
The value of x is 5 and the length of the chord BW is 20 and CW is 40.
Explanation:
Given:
BW = 2x + 10
WD = 4
CW = 7x + 5
WE = 2
x = ?
CW X WE = DW X WB
(7x + 5) 2 = 4 (2x + 10)
14x + 10 = 8x + 40
6x = 30
x = 5
Length of BW = 2x + 10
= 2 (5) + 10
= 20
Length of CW = 7x + 5
= 7(5) + 5
= 40
Therefore, the value of x is 5 and the length of the chord BW is 20 and CW is 40.