contestada

30 points!! Please help me ASAP!! I don't understand this.


ABCD is a trapezoid with midsegment (EF). If AD=5x-11, EF=3x+7, BC=2x+7, how many units in length is (EF)?

30 points Please help me ASAP I dont understand this ABCD is a trapezoid with midsegment EF If AD5x11 EF3x7 BC2x7 how many units in length is EF class=

Respuesta :

calculista

Answer:

[tex]EF=61\ units[/tex]

Step-by-step explanation:

we know that

In this problem, the length of the mid-segment EF is the sum of the two bases divided by 2

so

[tex]EF=\frac{1}{2}(BC+AD)[/tex]

substitute the given values

[tex]3x+7=\frac{1}{2}(2x+7+5x-11)[/tex]

Solve for x

[tex]6x+14=(7x-4)[/tex]

[tex]7x-6x=14+4[/tex]

[tex]x=18[/tex]

Find the length of EF

[tex]EF=3x+7[/tex]

substitute the value of x

[tex]EF=3(18)+7[/tex]

[tex]EF=61\ units[/tex]

Otras preguntas