2 years ago

In quadrilateral ABCD AB||CD and m/_2 =31 what is m/_5

Mathematics

1 answer:

Lady_Fox [76]2 years ago

6 0

Answer:

5 is ALSO 31⁰ BECAUSE THE LINES ARE PARALLEL

GIVE BRAINLIEST PLZ

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I can't figure this out :( Help!!!<br><img src="https://tex.z-dn.net/?f=3%20%5Cfrac%7B1%7D%7B2%7D%20w%20%2B%208%20%3D%203%20%5Cf

Naya [18.7K]

let's first off, convert the mixed fractions to improper fractions, and then, let's multiply both sides by the LCD, notice, the LCD will be hmmmm 4, so we'll multiply both sides by 4, to do away with the denominators.

$\bf \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}}~\hfill \stackrel{mixed}{3\frac{1}{4}}\implies \cfrac{3\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{13}{4}}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\cfrac{7}{2}w+8=\cfrac{13}{4}w+10\implies \stackrel{\textit{multiplying by }\stackrel{LCD}{4}}{4\left( \cfrac{7}{2}w+8 \right)=4\left( \cfrac{13}{4}w+10 \right)}
\\\\\\
14w+32=13w+40\implies w=40-32\implies \boxed{w=8}$