Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Given: rhombus ABCD with diagonals drawn. AE= 2/3x and EC=x-10Find the value of X

Given Rhombus ABCD With Diagonals Drawn AE 23x And ECx10Find The Value Of X class=

Sagot :

In a rhombus (and in any type of parallelogram), the diagonals intersect in their middle point.

That means the segments AE and EC have the same length.

So we have that:

[tex]\begin{gathered} AE=EC \\ \frac{2}{3}x=x-10 \\ x-\frac{2}{3}x=10 \\ \frac{1}{3}x=10 \\ x=10\cdot3 \\ x=30 \end{gathered}[/tex]

So the value of x is 30.

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.