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ASAP NEED HELP!!! What would PM be and how do I find it??

ASAP NEED HELP What Would PM Be And How Do I Find It class=

Sagot :

Hrishiiidn

Answer:

PM = 14.4

Step-by-step explanation:

In triangle MLK, PN || LK

Therefore, by Basic Proportionality Theorem:

[tex] \frac {PM}{PL} =\frac{15}{10}[/tex]

[tex] \frac {PL}{PM} =\frac{10}{15}[/tex]

(By invertendo)

[tex] \frac {PL+ PM}{PM} =\frac{10+15}{15}[/tex]

(By componendo)

[tex] \frac {LM}{PM} =\frac{25}{15}[/tex]

[tex] \frac {24}{PM} =\frac{5}{3}[/tex]

[tex]PM= \frac {24\times 3}{5} [/tex]

[tex]PM= \frac {72}{5} [/tex]

[tex]PM= 14.4 [/tex]

Clarch19idn

Answer:

PM = 14.4 units

Step-by-step explanation:

ΔKLM ≈ ΔNPM so we can write a proportion relating corresponding sides

LM / KM = PM / NM

24 / 25 = PM / 15

cross-multiply:

25·PM = 24(15)

25PM = 360

PM = 360 / 25

PM = 14.4

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