Question

In the diagram, △NPQ ∼ △NLM and PL = 8.

Answer 1

Answer:

x = 14

NP = 3.66

NL = 8.01

Step-by-step explanation:

since △NPQ ∼ △NLM

<L = <P

3x + 18 = 60

3x = 60 - 18

3x = 42

x = 42/3

x = 14

Similarly;

PN/PL = QN/QM

y/8 = 3.2/7

Cross multiply

7y = 3.2* 8

7y = 25.6

y = 25.6/7

y = 3.66

Hence NP = 3.66

Also

NP/NQ = NL/NM

3.66/3.2 = NL/7

3.2NL = 7 * 3.66

3.2NL =  25.62

NL = 25.62/3.2

NL = 8.01