Question

Points A, B, C, and D are collinear and positioned in that order. Solve for x then find the length of: AB, BC, and CD, if AB=x+5, BC=2x+10, CD=4x, and AD=78

Answer 1

Explanation:

we can solve this by Adding all points so you said that all are collinear points which means all points are in one line so this is solved as

= X+5+2X+10+4X=78

=7X+15=78. ....collecting like terms

=7x=78-15

=7x=63. divide both sides with 7

=x=9

So now All sides are solved

●AB=x+5

AB=9+5=14

●BC=2X+10=2(9)+10

BC=28

●CD=4X

CD=4(9)

CD=36

so AB+BC+CD=AD

14+28+36=78

True!!

Thanks in Advance

Nahom Wondale