Question

Can someone help me please

Answer 1

E is the middle of [AC]

so AE = 1/2 x AC

then

4x = 1/2 * (6x + 5)

4x = 3x + 5/2

x = 5/2

x = 2,5

Answer 2

`x=\frac52`

Explanation:

In a parallelogram, the diagonals bisect each other. This means that the diagonals are divided into 2 equal parts by the other diagonal.

Therefore,

`\implies AE =\frac12 AC`

`\implies 4x=\frac12(6x+5)`

To solve:

multiply both sides by 2:

`\implies 8x=6x+5`

subtract 6x from both sides:

`\implies 2x=5`

divide both sides by 2:

`\implies x=\frac52`