All the info is in the pictures

Mathematics

1 answer:

Hunter-Best [27]3 years ago

6 0

Bearing in mind that an absolute value expression is in effect a piece-wise function with two cases, thus

$\bf |-n|=
\begin{cases}
+(-n)\\
-(-n)
\end{cases}\implies 
\begin{cases}
-n\\
n
\end{cases}
\\\\\\
n|-n|=2n\implies 
\begin{cases}
n-n=2n\implies 0=2n\implies &0=n\\
n+n=2n\implies 2n=2n\impliedby &inconsistent
\end{cases}$

You might be interested in

A Country sales tax is 6 2/3% . what is the percent as A fraction in simplest form

Anna007 [38]

6+2/3% <--- Given
(6+2/3)/100 <--- Definition of percent
(20/3)/100 <--- Putting the top into an improper fraction
20/300 <--- Dividing the fractions
1/15 <--- Simplifying the fraction

Hope this helps!

6 0

3 years ago

Can you do this please

dezoksy [38]

Answer:

x = 24

Step-by-step explanation:

ABCD is a parallelogram.

Angle B and Angle C are adjacent (successive) angles.

Adjacent angles of a parallelogram are supplementary.

Therefore,

$(5x) \degree + (2x + 12) \degree = 180 \degree \\ \\ (5x + 2x + 12) \degree = 180 \degree \\ \\ (7x+ 12) \degree = 180 \degree \\ \\7x+ 12 = 180 \\ \\7x = 180 - 12 \\ \\ 7x = 168 \\ \\ x = \frac{168}{7} \\ \\ x = 24$