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Yuliya22 [10]
4 years ago
11

Select the locations on the number line to plot the points 4 1/ 3 and −1 1/3 .

Mathematics
2 answers:
Andrew [12]4 years ago
4 0

Answer:

The locations of given number are shown on the below number line.

Step-by-step explanation:

The given numbers are

4\dfrac{1}{3} and -1\dfrac{1}{3}

We need to plot these points on the given number line.

In the given number write the integers -4,-3,-2,-1,0,1,2,3,4 on points indicated and two sub point between two consecutive points divides the line in three equal parts.

4\dfrac{1}{3}=4+\dfrac{1}{3}

It means 4\dfrac{1}{3} lies next to 4 on right side.

-1\dfrac{1}{3}=-(1+\dfrac{1}{3})=-1-\dfrac{1}{3}

It means -1\dfrac{1}{3} lies next to -1 on left side.

Therefore, the locations of given number are shown on the below number line.

Olin [163]4 years ago
3 0
We have that
<span>4 1/ 3
−1 1/3 </span>
the answer in the attached figure

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Quadrilateral ABCD is a parallelogram. DE = 6.1 cm and m∠DAB = 120°. What is BC? cm What is m∠BCD? ° What is AB? cm What is EB?
Ainat [17]
We know that

There are six important properties of parallelograms to know:

<span>1) Opposite sides are congruent (AB = DC and AD=BC).
2) Opposite angles are congruent (D = B and A=C)
3) Consecutive angles are supplementary (A + D = 180° and D+C= 180</span>°<span>).
4) If one angle is right, then all angles are right.
5) The diagonals of a parallelogram bisect each other.
<span>6) Each diagonal of a parallelogram separates it into two congruent triangles.

Part 1) </span></span><span>What is BC?
BC=AD-----------> BC=10 cm--------> by </span>Opposite sides are congruent

the answer Part 1) is 
BC=10 cm

Part 2) <span>What is m∠BCD?
</span>m∠BCD=m∠DAB-----> m∠BCD=120°----> by Opposite angles are congruent

the answer part 2) is 
m∠BCD=120°

part 3) <span>What is AB? 
</span>AB=CD------> AB=5 cm----> by Opposite sides are congruent

the answer Part 3) is
AB=5 cm

Part 4) <span>What is EB?
EB=DE-----> EB=6.1 cm----> by </span>The diagonals of a parallelogram bisect each other.

the answer Part 4) is
EB=6.1 cm
6 0
3 years ago
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Img1
dusya [7]

The equation

w=112+8t

means that you choose a value for the input variable t, and you compute the correspondent value for the output variable w.

So, if the input is t = 176, the output will be

w=112+8\cdot 176 = 112+1408 = 1520

Similarly, the ordered pair (4, 144) means that if you choose 4 as input, you get 144 as output, in fact you have

w=112+8\cdot 4= 112+32= 144

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4 years ago
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vekshin1

Answer:

x = 19

Step-by-step explanation:

These are vertical angles, which means that the angle measurements are going to be the same. Set the two angle measurements equal to each other:

3x - 3 = 6(x - 10)

Simplify. First, distribute 6 to all terms within the parenthesis:

3x - 3 = 6(x - 10)

3x - 3 = 6(x) - 6(10)

3x - 3 = 6x - 60

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Add 3 and subtract 6x from both sides:

3x (-6x) - 3 (+3) = 6x (-6x) - 60 (+3)

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Step-by-step explanation:

Find the two coordinates first.

In this case, they are (-4, 1) and (-2, -1).

Use the following formula to calculate slope:

\frac{y2-y1}{x2-x1}

Substitute in the coordinates:

\frac{1-(-1)}{-4-(-2)} = \frac{2}{-2} = -1

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