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Orlov [11]
3 years ago
8

The sum of the reciprocal of a number and 5/6 is 13/12. Find the number.

Mathematics
2 answers:
ddd [48]3 years ago
4 0

\frac1x+\frac56=\frac{13}{12}\ \ \ \ |\cdot12\\ 12\cdot\frac1x+12\cdot\frac56=12\cdot\frac{13}{12}\\ \frac{12}x+\frac{60}6=13\\ \frac{12}x+10=13\ \to \ \frac{12}x=3\ \to \ \boxed{x=4}

Sladkaya [172]3 years ago
4 0
I would have to go with x=4
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Step-by-step explanation:

Given two segments AD and BC intersect at point E to form two triangles ABE and DCE. Side AB is parallel to side DC. A E is labeled 2x+10. ED is labeled x+3. AB is 10 units long and DC is 4 units long.

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In ΔABE and ΔDCE

∠EAB=∠EDC      (∵Alternate angles)

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8 0
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