Odd integers are 2 apart
they are n, n+2, n+4
the sum is 75
n+n+2+n+4=75
3n+6=75
minus 6 both sides
3n=69
divide both sides by 3
n=23
n+2=25
n+4=27
the integers are 23,25,27
        
             
        
        
        
Step-by-step answer:
Please refer to attached image.
1. Quad PQRS is cyclic (all vertices on the same circle), so opposite angles are supplementary, meaning
   that
   angles QPS and QRS are supplementary =>
   QPS+QRS=180   =>
   QRS = 180 - 74 = 106
2. Triangle RSQ is isosceles with RS=RQ =>
    angles RSQ and RQS are congruent.
3. Angle RSQ = (180 - 106) /2 = 74 / 2  = 37
4. QP is a diameter => angle QSP is a right-angle.
5. From (3) and (4) above, 
   angle RSP = 37+90 = 127
6. Since PQRS is cyclic, angles RQP  and RSP are supplementary =>
    RQP+RSP = 180   =>
    x + 127 = 180   =>
    x = 180 - 127 = 53 degrees.
 
        
             
        
        
        
Answer:
12
Step-by-step explanation:
These are similar triangles, so the ratio of their sides is the same for each side.
AB = 8  and  BD = 10
So, the ratio is 8:10   or   4:5
Because the triangles are similar....
The ratio of AC:CE  is also  4:5
12:15 = 4:5
So, 12 is the answer!
 
        
             
        
        
        
The equation of the line parallel to 5x+2y=12 and passes through the point (-2, 4) is equal to y= -5/2x - 1
        
                    
             
        
        
        
Answer:
2 2/5
Step-by-step explanation:
change -1 3/5 to an improper fraction
-1 3/5 = -(5*1+3)/5 = -8/5
-1 3/5 ÷ -2/3 =
-8/5 ÷-2/3
copy dot flip
-8/5 * -3/2
24/10
divide top and bottom by 2
12/5
change back to a mixed number
5 goes into 12  2 times (5*2=10) with 2 left over
2 2/5