Mathematics: Quadrilateral abcd is an isosceles trapezoid with ab parallel to cd. if bc = 4x + 5 and ad = –3x + 26, find ad.

Value of x is 13.47Answer is given below with explanations. Step-by-step explanation:HAVE A NICE DAY!THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION....

Quadrilateral abcd is an isosceles trapezoid - id985079, raquelqueengucci25

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c1100321311

06.04.2023

Mathematics

Value of x is 13.47

Answer is given below with explanations.

Step-by-step explanation:

$in \: first \: triangle \\ sin( \alpha ) = \frac{opposite \: side}{hypotenuse} \\ here \: \alpha = 60 \: degrees \\ hypotenuse = 11 \\ then \: \sin(60) = \frac{opposite \: side}{11} \\ \frac{ \sqrt{3} }{2} = \frac{opposite \: side}{11} \\ opposite \: side = \frac{11 \sqrt{3} }{2} \\ let \: y = \frac{11 \sqrt{3} }{2} \\ in \: second \: triangle \\ \sin( \alpha ) = \frac{opposite \: side}{hypotenuse} \\ here \: \alpha = 45 \: degrees \\ \sin(45) = \frac{y}{x} \\ \frac{1}{ \sqrt{2} } = \frac{y}{x} \\ x = y \sqrt{2} \\ x = ( \frac{11 \sqrt{3} }{2} ) \sqrt{2} \\ x = \frac{11 \sqrt{3} }{ \sqrt{2} } \\ x = 13.472 \\ then \: x \: is \: approximately \: equal \: to \: 13.47$

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Quadrilateral abcd is an isosceles trapezoid with ab parallel to cd. if bc = 4x + 5 and ad = –3x + 26, find ad.

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