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3 years ago

Find the measure of KM¯¯¯¯¯¯¯¯¯¯.

Mathematics

2 answers:

Aloiza [94]3 years ago

8 0

Answer:

$\huge\boxed{KM = 11}$

Step-by-step explanation:

According to secant - secant theorem:

(MK)(ML) = (MR)(MN)

Where

MK = 7 + x+ 2 = x + 9

ML = 7

MR = 8 + 6 = 14

MN = 6

=> (x+9)(7)= (14)(6)

=> 7x + 63 = 84

Subtracting both sides by 63

=> 7x = 84 - 63

=> 7x = 21

Dividing both sides by 7

=> x = 3

Now,

KM = x + 9

KM = 3 + 9

KM = 11

PilotLPTM [1.2K]3 years ago

6 0

Answer:

Step-by-step explanation:

(whole secant) x (external part) = (whole secant) x (external part)

( 7+x+2) * 7 = ( 6+8) * 6

Combine like terms

(9+x) *7 = 14*6

Distribute

63 +7x = 84

Subtract 63

63 +7x -63 = 84-63

7x =21

Divide by 7

7x/7 = 21/7

x = 3

KM = x+2+7

= 3+2+7

=12

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