Bis the midpoint of ac and d is the midpoint of ce solve for x given bd equals 3x +5 and ae equals 4x +20?

X = 5

Step-by-step explanation:

Given : In ΔACE

            B is the midpoint of AC i.e. AB=AC

            D is the midpoint of CE i.e. ED=DC

            BD = 3x +5

            AE = 4x +20

Proof : To find value of x we will use mid segment theorem i.e. The line connected by  the midpoints of two sides of a triangle is  parallel to the third side and is also half of the third side .

⇒

⇒

⇒

⇒

⇒

⇒

⇒

⇒

So, the value of x is 5

hjgh

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.