Assume abc def. if ab = 12, bc = 15, and ac = 17, what is the length of ef

EF=15

Step-by-step explanation:

The legth of EF is the same as BC because both of these segments come at the end. For these sort of problems, you need to match up the line segments/angles on both sides of the equal side. For example, the line segment AB will be the same as DE because they are both in front of the equation on both sides. Hopefully this makes sense :)

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.

step by step resolutions

1) n+n+1+n+2=51

3n+3=51

3n=48

n=16

the three numbers are 16, 17 and 18.

2) x+15=4x

3x=15

x=5

radha is now 5 years old

3) the two digits are x and y.

y=3x

(10x+y)+(10y+x)=88

y=3x

11x+11y=88

y=3x

x+y=8

x+3x=8

x=2

the original number can be either 28 or 82.

4) n+(n+2)+(n+4)=48

3n+6=48

3n=42

n=14

the numbers are 14, 16 and 18.

5) y=x+3

10y+x+10x+y=143

y=x+3

11x+11y=143

y=x+3

x+y=13

x+x+3=13

2x=10

x=5

the original number can be 57 or 75.

hope this !