2 years ago

What is the measure of x?

Mathematics

1 answer:

UkoKoshka [18]2 years ago

7 0

Answer:

x=4

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x+5) *x = 6^2

x^2 +5x = 36

Subtract 36 from each side

x^2 +5x - 36 = 0

Factor

( x-4) (x+9) = 0

Using the zero product property

x-4 = 0 x+9 =0

x = 4 x=-9

Cannot be negative since that is negative length

x=4

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3 years ago

Read 2 more answers

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motikmotik

Answer:

Step-by-step explanation:

${5}^{2} + {x}^{2} = {7}^{2} \\ 25 + {x}^{2} = 49 \\ {x}^{2} = 49 - 25 \\ {x}^{2} = 24 \\ x = \sqrt{24}$