Answer:
Lines BC and F represent perpendicular lines
Step-by-step explanation:
we have
<em>Line BC</em>

the slope of the line BC is 
<em>Line F</em>

the slope of the line F is 
we know that
If two lines are perpendicular, then the product of their slopes is equal to -1
so

we have
-----> slope line BC
-----> slope line F
Find the product of their slopes

therefore
Lines BC and F represent perpendicular lines
Answer:

Step-by-step explanation:
Given
See attachment for triangle
Required
Find x
To find y, we make use of the relationship between sides lengths 11 & x and angle 37
The relationship is:

i.e.

Make x the subject



-- approximated
1) 2a = 9b ⇒ 2:9
2) a + b = 3b ⇒ a = 2b ⇒ 1:2
Answers: 2:9 and 1:2