Respuesta :

Answer:

x=5

Step-by-step explanation:

The sides have to be equal length

3x+4 = 5x-6

Subtract 3x from each side

3x+4-3x = 5x-6-3x

4 = 2x-6

Add 6 to each side

4+6 = 2x-6+6

10 = 2x

Divide by 2

10/2 =2x/2

5 =x

Two parallel sides is 3x + 4 = 5x - 6

[tex]\bf \large \longrightarrow \: \: 3x \: + \: 4 \: = \: 5 x \: - \: 6[/tex]

[tex]\bf \large \longrightarrow \: \:6 \: + \: 4 \: = \: 5x \: - \: 3x[/tex]

[tex]\bf \large \longrightarrow \: \:10 \: = \: 2x[/tex]

[tex]\bf \large \longrightarrow \: \: \frac{10}{2} \: = \: x \\ [/tex]

[tex]\bf \large \longrightarrow \: \: \cancel\frac{10}{2} \: \large \: ^{5} \: = \: x \\ [/tex]

[tex]\bf \large \longrightarrow \: \:x \: = \: 5[/tex]

Option ( B ) is the correct answer.

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