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maxonik [38]
3 years ago
13

Does all rhombuses have 2 pairs of parallel sides?

Mathematics
1 answer:
attashe74 [19]3 years ago
4 0
Yes, all of the rhombuses have 2 pairs of parallel side.





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Perform the indicated operations. Write the answer in standard form, a+bi.<br> 5-3i / -2-9i
Vsevolod [243]

\huge \boxed{\mathfrak{Answer} \downarrow}

\large \bf\frac { 5 - 3 i } { - 2 - 9 i } \\

Multiply both numerator and denominator of \sf \frac{5-3i}{-2-9i} \\ by the complex conjugate of the denominator, -2+9i.

\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2-9i\right)\left(-2+9i\right)})  \\

Multiplication can be transformed into difference of squares using the rule: \sf\left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2\right)^{2}-9^{2}i^{2}})  \\

By definition, i² is -1. Calculate the denominator.

\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{85})  \\

Multiply complex numbers 5-3i and -2+9i in the same way as you multiply binomials.

\large \bf \: Re(\frac{5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9i^{2}}{85})  \\

Do the multiplications in \sf5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9\left(-1\right).

\large \bf \: Re(\frac{-10+45i+6i+27}{85})  \\

Combine the real and imaginary parts in -10+45i+6i+27.

\large \bf \: Re(\frac{-10+27+\left(45+6\right)i}{85})  \\

Do the additions in \sf-10+27+\left(45+6\right)i.

\large \bf Re(\frac{17+51i}{85})  \\

Divide 17+51i by 85 to get \sf\frac{1}{5}+\frac{3}{5}i \\.

\large \bf \: Re(\frac{1}{5}+\frac{3}{5}i)  \\

The real part of \sf \frac{1}{5}+\frac{3}{5}i \\ is \sf \frac{1}{5} \\.

\large  \boxed{\bf\frac{1}{5} = 0.2} \\

3 0
3 years ago
What is the perimeter of a rectangle whose width is (x - 7) units and whose length is (3x + 10) units?​
FromTheMoon [43]

Answer:

The answer is "(8x + 6) units".

Step-by-step explanation:

Formula of perimeter is:

\to \bold{P=2 \text{(Length +width)} }

       =2((3x+10)+(x-7))\\\\=2(4x+3)\\\\= 8x+6

4 0
3 years ago
Lin says that an octagon has six ideas.chris says that it has eight sides.whose statement is correct?
user100 [1]
Chris is correct.
An octagon has 8 sides.
A hexagon has 6 sides which is what Lin said.
5 0
3 years ago
Which equation describes a parabola that opens left or right and whose vertex is at the point (h, v)?
nalin [4]
Vertex is at the point ( h , v ) 
The equation of a parabola is:
x = a ( y - v )² + h
Answer: B )
4 0
2 years ago
Read 2 more answers
Will mark brainliest! The triangles shown below must be congruent, true or false
olchik [2.2K]
True because they have the same size angles
8 0
3 years ago
Read 2 more answers
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