Question

In Mahmoud's construction, what is the value of x when given the equations ED = (4/8)x + (10/7) and DF = (5x - 16)/10?

A) x = 4/7
B) x = 1/2
C) x = 5/6
D) x = 2/3

Answer 1

To find the value of x, solve the given equations for ED and DF, and then equate the expressions. Simplify the equation and solve for x, which gives the value of 0.

Step-by-step explanation:

To find the value of x in Mahmoud's construction, we need to solve the given equations for ED and DF.

ED = (4/8)x + (10/7)

DF = (5x - 16)/10

Simplifying the equations, we get:

ED = (1/2)x + (10/7)

DF = (5/10)x - (16/10)

Now, equate the expressions for ED and DF:

(1/2)x + (10/7) = (5/10)x - (16/10)

Combining like terms and solving for x, we get:

(1/2 - 5/10)x = - (16/10) - (10/7)

(1/2 - 1/2)x = - (16/10) - (10/7)

(0)x = - (16/10) - (10/7)

0 = - (16/10) - (10/7)

Thus, the value of x is 0.