Use any geometry skill you have learned to identify any pairs of angles in these figures that are complementary or supplementary. Use the image, please help!

Use any geometry skill you have learned to identify any pairs of angles in these figures that are c

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2019johnfranken

08.09.2020

Mathematics

Options:

(A)x = StartFraction 6 over 4 EndFraction

(B)x = Negative StartFraction 6 over 4 EndFraction

(C)x minus one-fourth = negative StartFraction 5 over 4 EndFraction

(D)x = negative three-halves

(E)x = negative three-fourths

(B)x = Negative StartFraction 6 over 4 EndFraction

$-\dfrac{6}{4}$

(D)x = negative three-halves

$-\dfrac{3}{2}$

Step-by-step explanation:

We want to determine which fraction is equivalent to

$\dfrac{1}{4}+x=-\dfrac{5}{4}\\$First, we collect like terms$\\x=-\dfrac{5}{4}-\dfrac{1}{4} \\\\=\dfrac{-5-1}{4}\\=-\dfrac{6}{4}\\x=-\dfrac{6}{4}$

This value of x is the result in Option B.

Reducing $-\dfrac{6}{4}$ to its lowest form:

$-\dfrac{6}{4}=-\dfrac{3}{2}$ which is Option D.

Therefore, the correct options are: B and D

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Use any geometry skill you have learned to identify any pairs of angles in these figures that are complementary or supplementary. Use the image, please help!​