(4+x)+x=22
= 4+2x=22
= 2x = 18
= x = 9.
Gabriel is 9 years old, and Dan is 4 + 9 or 13 years old.
Answer:
to find midpoint add both"X" coordinates and divide by 2
also add "Y" coordinates and divide by 2
then for line of segment use distance formula which is D=√[(x2-x1)²+(y2-y1)²]
The slope is 4. That eliminates the first two answers
Y-y1=m(x-x1)
Y-2=4(x-1)
Y-2=4x-4
Add 2 to both sides
Y=4x-2
Perimeter is the sum of all three sides so in this case x+(3x+2)+(3x+2).
They also gave us the perimeter which is 39 so
39= x+(3x+2)+(3x+2)
Simplify so 39=7x+4. [x+3x+3x=7x and 2+2=4]
Then get x by itself so subtract 4 from both sides.
35=7x
Then divide both sides by 7 to get x by itself.
Which leaves us with
X=5
