Answer:
Yes, They are similar by SSS PMK similar to LMQ.
Step-by-step explanation:
Similar triangles corresponding side lengths are in a proportion.
KM corresponds with MQ
PM corresponds with LM.
Set up this proportion.


Cross multiply

So the triangles ARE Similar.
- PM corresponds with LM
- KM corresponds with MQ
- PK corresponds with LQ
- So PMK is similar to LMQ
Answer:
Sydney is 52 years old, and Tristan is 30.
Step-by-step explanation:
Represent Tristan's age by t and Sydney's by s.
Then s - 8 = 2(t - 8), and t = s - 22
Substituting s - 22 in the first equation, we get:
s - 8 = 2(s - 22 - 8), or
s - 8 = 2s - 60
Solving for s: -2s + s = -60 + 8, or -s = -52.
Sydney is 52 years old, and Tristan is 30.
Answer:
8 and 17
Step-by-step explanation:
Let the number x and y
Sum of numbers, x + y = 25 -----------( 1 )
One number exceeds other by 9,
that is difference between the numbers is 9, x - y = 9
=> x = 9 + y --------- ( 2 )
Substitute ( 2 ) in ( 1 )
( 9 + y ) + y = 25
2y = 25 - 9
2y = 16
y = 8
Substitute y = 8 in ( 2 ) : x = 9 + y
= 9 + 8 = 17
Therefore the 2 numbers are 8 and 17