Answer:
d = 90°
e = 41°
f = 139°
Step-by-step explanation:
d + 90° = 180° (Angles in linear pair)
-> d = 180° - 90°
-> d = 90°
e = 41° (vertical angles)
f + 41° = 180° (Angles in linear pair)
-> f = 180° - 41°
-> f = 139°
 
        
             
        
        
        
Answer:
42
Step-by-step explanation:
33+9=42
42-9=33
 
        
             
        
        
        
Answer:
x = 1.5
Step-by-step explanation:
Given


Required
Find the value of x.
First, the inequalities need to be rewritten and merged;
if  , then
, then

Multiply both sides by 2


Similarly;

Multiply both sides by 2


Merging these results together; to give

This means that the range of values of x is from 1.5 to 4.9999....
From the question, x is the smallest rational number; from the range above ( ), the minimum value of x is 1.5 and 1.5 is a rational number;
), the minimum value of x is 1.5 and 1.5 is a rational number;
Hence, x  = 1.5
 
        
             
        
        
        
Answer:
x = 4, y = 9.
Step-by-step explanation:
3x -2y = -6 and y = x+5
Substitute y = x + 5 in the first equation:
3x - 2(x + 5) = -6
3x - 2x - 10 = -6
x = -6 + 10
x = 4
So y = 4 + 5 = 9.