Respuesta :

calculista

Answer:

The value of x is 4

Step-by-step explanation:

we know that

in this problem

[tex]\frac{1}{2}(2x+(3x+10))=15[/tex]

solve for x

[tex]\frac{1}{2}(5x+10)=15[/tex]

[tex](5x+10)=30[/tex]

[tex]5x=30-10[/tex]

[tex]x=20/5=4[/tex]

Answer:

The value of [tex]x[/tex] is 4.

Step-by-step explanation:

Figure [tex]ABCD[/tex] is a trapezoid, in which [tex]AD[/tex] and [tex]BC[/tex] are parallel sides.

Given that, [tex]AD= 3x+10[/tex] and [tex]BC=2x[/tex]

Now, the length of the median  [tex]= \frac{1}{2}(AD+BC)[/tex] , which is given as  [tex]15.[/tex]

So, the equation will be......

[tex]\frac{1}{2}[(3x+10)+2x]=15\\ \\ \frac{1}{2}(5x+10)=15\\ \\ 5x+10=2(15)\\ \\ 5x+10=30\\ \\ 5x=30-10\\ \\ 5x=20\\ \\ x=\frac{20}{5}=4[/tex]

So, the value of [tex]x[/tex] is 4.

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