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Anton [14]
3 years ago
8

Please help me solve the first one and show all work

Mathematics
1 answer:
Leto [7]3 years ago
3 0
Acc. to midpoint theorem,

15={(2x+9) + (4x-15)}/2
⇒ 30=2x+9+4x-15
⇒ 30-9+15=6x
⇒ 36/6=x
⇒6=x

WZ= 4x-15
=4*6-15
=24-15=9

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The solids are similar. Find the missing dimension.
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30. Set up a proportion of 6/2 and x/10. cross multiply 6 times 10 and you get 60. divide 60 by 2=30
7 0
3 years ago
5x + 10 &gt; 35<br> How do you work this out?
Alexxx [7]

Answer:

x > 5

Step-by -step explanation:

Solving inequalities is similar to solving equations.

5x + 10 > 35

Subtract 10 from both sides.

5x > 25

Divide by 5 from both sides to isolate the x.

x > 5

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3 years ago
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This cuboid is made from cm squares
11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

Each signal unit cubes are 1 cm to each side

the dimensions of the large cube is 4 by 6 by 3      width height and depth

a) volume of the cube   Vol = area of the base times height  

              area of the base = the width times the depth  

              Volume = Base Depth

                            =  Width x Depth x Height

                            =      4 x 3 x 6

                            =       12 x 6

                Vol      =   72 cm ³

b )  the volume of the smaller cuboid has different dimensions    

             the smaller cube is 2 by 2 by 1      width height and depth

          Volume = Base Depth

                            =  Width x Depth x Heigh

                            =    2 x 2 x 1  

 Vol smaller cuboid    =   4

      How many smaller cubes can be made?

            The obvious answer might be to straight up divide the large cube volume by the smaler cuboid volume. That might work IF all of the cuboid dimensions divide evenly into the cube dimensions.

  Number of cuboid  =   Volume of the cube  /  Volume of the cuboid

                                  =             72 / 4

                                  =        18

Check this answer by dividing the dimension of the cube by the cuboid

         4 by 6 by 3

         2 by 2 by 1

      (4/2) by (6/2) by (3/1)

        2    by    3   by     3       = 2 x 3 x 3     =    18

3 0
3 years ago
Which of the following graphs represents the equation y+2=3(x-1)
Arturiano [62]

For this case we have the following equation, in a linear way:

y + 2 = 3 (x-1)

This expression can be written in the form y = mx + b

Where "m" is the slope and "b" is the cut point with the y axis.

Rewriting the given expression we have:

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Thus, the slope is 3 and the cut point is -5.

To graph, we must find two points through which the line passes, so, we perform the following steps:

Step 1:

We do x = 0

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Thus, the point (x1, y1) = (0, -5)

Step 2:

We doy = 0

0 = 3x-5\\5 = 3x

x =\frac{5}{3}

Thus, the point (x2, y2) = (\frac{5}{3},0)

Answer:

See attached image


7 0
4 years ago
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