B is the midpoint of and D is the midpoint of . Solve for x, given BD = 3x + 5 and AE = 4x + 20. https://www.connexus.com/content/media/464267-1132011-72634-PM-1941616734.png

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B is the midpoint of and D is the midpoint of . Solve for x, given BD = 3x + 5 and AE = 4x + 20. https://www.connexus.com/content/media/464267-1132011-72634-PM-1941616734.png

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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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B is the mid point of AC and D is the mid point of CE In triangles CBD and CAE CB/CA=1/2 CD/CE=1/2 angle C is the common angle so these two triangles are similar therefore all angles are equal , and all triangles are in the same ratio hence BD/AE=1/2 BD=3x+5 AE=4x+20 3x+5/(4x+20)=1/2 6x+10=4x+20 2x=10 x=5
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