Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

In the accompanying diagram of circle o, chords AB and CD
intersect at E. If AE = 3, EB = 4, CE = x, and ED = x +1,
find CE

Sagot :

fichoh

Answer:

x = 3

Step-by-step explanation:

Given :

AE = 3, EB = 4, CE = x, and ED = x +1,

Equating chord AB and CD

AE*EB = CE*ED

3*4 = x*(x+1)

12 = x² + x

x² + x - 12 = 0

x² +4x - 3x - 12 = 0

x(x + 4) - 3(x + 4)

(x + 4) = 0 or (x - 3) = 0

x = - 4 or x = 3

Distance can't be negative :

x = 3

View image fichoh
We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.