Answer:
6 parts yellow 
Step-by-step explanation:
 
        
             
        
        
        
First find the area of the parallelogram
Area of parallelogram = b x h 
= 12 x 7 
= 84 
Then find area of kite 
Area of kite = (xy)/2 
= (7 x 12)/2 
= 84/2 
= 42 
Now we are gonna subtract the area of the kite from the area of the parallelogram. 
84 - 42 = 42 
Therefore the area of the shaded region is 42.
        
             
        
        
        
Answer: 17/7
Step-by-step explanation: Step 1: Simplify both sides of the equation. y+4/15 + 2y−5/5 = 2/5 1/15 y+ 4/15 + 2/5 y+−1= 2/5 (Distribute) ( 1/15 y+ 2/5 y)+( 4/15 +−1)= 2/5 (Combine Like Terms) 7/15 y+ −11/15 = 2/5 7/15 y+ −11/15 = 2/5 Step 2: Add 11/15 to both sides. 7/15 y+ −11/15 + 11/15 = 2/5 + 11/15 7 15 y= 17/15
 
        
             
        
        
        
Answer:
Step-by-step explanation:
From the picture attached,
a). Triangle in the figure is ΔBCF
b). Since,  and
 and  are the parallel lines and m is a transversal line,
 are the parallel lines and m is a transversal line,
    m∠FBC = m∠BFG [Alternate interior angles] 
    Since,   and
 and  are the parallel lines and n is a transversal line,
 are the parallel lines and n is a transversal line,
    m∠BCF = m∠CFE [Alternate interior angles]
    By triangle sum theorem in ΔBCF
    m∠FBC + m∠BCF + m∠BFC = 180°
    From the properties given above,
    m∠BFG + m∠CFE + m∠BFC = 180°
    m∠GFE = 180°
Therefore, angle GFE is the straight angle that will be useful in proving that the sum of the measures of the interior angles of the triangle is 180°.