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Pepsi [2]
3 years ago
11

Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (–

3 + i) + (18 + 5i)?
Mathematics
1 answer:
madam [21]3 years ago
4 0
The first step of simplifying the expression would be summing up the "i"s. They are separate ("+i" and "+5i") but you can still sum them up though they are apart. This is thanks to the commutative property of addition which allows summing the terms of an expression with several additions in whatever order it is prefered. Commutative means that the terms can be interchangeable. 
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White and black shapes are used in a game Some of the shapes are circles All the other shapes are squares The ratio of white to
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Answer:

The fraction of all shapes which are square in shape is \frac{23}{32}.

Step-by-step explanation:

Given that , in a game , white and black shapes are used. Some of them are circle in shape and remains are square in shape.

The ratio of white to black shapes are 5:11.

Consider 5x= the number of shapes which are white in color.

11x= The number of shapes which are black in color.

There are (5x+11x)= 16x shapes in the game.

The  white circle and white square are in the ratio 3:7.

The number of white square is

=(\textrm{The number of white shape})\times (\frac{7}{3+7})

=(5x)\times (\frac{7}{10})

=\frac{7x}{2}

The black circles and black square are in the ratio 3:8

The number of black square is

=(\textrm{The number of black shape})\times (\frac{8}{3+8})

=(11x)\times (\frac{8}{11})

=8x

Therefore the total number of shape which are square is

=\frac{7x}{2}+8x

=\frac{7x+16x}{2}

=\frac{23x}{2}

The fraction of all shape are square is

=\frac{\textrm{shape in square}}{\textrm{Total number shape}}

=\frac{\frac{23x}{2}}{16x}

=\frac{23}{32}

5 0
3 years ago
Which of the following is the statement of the triangle inequality theorem?
kupik [55]

we know that

<u>The triangle inequality theorem</u> states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

so

Let

a,b,c------> the length sides of a triangle

The theorem states that three conditions must be met

<u>case 1)</u>

a+b > c

<u>case 2)</u>

a+c > b

<u>case3)</u>

c+b > a

therefore

<u>the answer is the option</u>

B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

5 0
3 years ago
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ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

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son=5 yrs old

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4(5+x) = 32+x

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4x-x = 32–20

3x =12

x = 12/3

x = 4 years

------------------------------------

after the 4 years later the farther age will be 36 ( 32+4 = 36)

the son will be 9 ( 5+4= 9 years)

the x presents how the father will be after 4 times the age of the son

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Find the measure of the interior angles.
nexus9112 [7]
Interior angles of a triangle should always add up to 180.
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Graph the soloution x+2y=8
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Answer:

Im 100% sure that it’s (A)

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