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Given: AE = 3, CE = 5 and ED is 4 less than EB find EB. Please give a step-by-step explanation. The best answer will receive brainliest (50 pts)

Given AE 3 CE 5 and ED is 4 less than EB find EB Please give a stepbystep explanation The best answer will receive brainliest 50 pts class=

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aklee18oo

Answer:

EB = 10

Step-by-step explanation:

For this problem, you can use the power of a point, in the situation where two secants intersect in the interior of a circle. The formula is as follows:

CE * ED = AE * EB

(This is applied specifically to this problem)

We can substitute the values given,

5 * (x - 4) = 3 * x

simplify,

5x - 20 = 3x

and solve.

2x - 20 = 0

2x = 20

x = 10

Since the value of EB is x, EB = 10.

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