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What is the answer to this problem

What is the answer to this problem-example-1
User Niryo
by
7.9k points

1 Answer

3 votes

Step One

Solve for CE as a numerical value

CE = 1/2 * CD = 1/2 66 = 33

CE = 33

Step Two

Solve for x

CD also equals x^2 - 3 which is given.

x^2 - 3 = 33 Add 3 to both sides

x^2 = 33 + 3

x^2 = 36 Take the square root of both sides

sqrt(x^2) = sqrt(36)

x = 6

Step 3

Find the length of AE

AE is given as 6x - 10

x = 6

AE = 6*6 - 10

AE = 36 - 10

AE = 26

Step 4

Find AB

AE = 1/2 AB Definition of bisect

26 = 1/2 AB Multiply by 2

2*26 = AB

AB = 52 <<<<<<<<Answer

User Berislav Lopac
by
8.3k points