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tatuchka [14]
3 years ago
6

State of the triangles in each pair of similar. If so, State how you know they are similar and complete the similarity statement

.
a. similar, AA similarity. TBC
b. not similar
c. similar, SAS similarity. TBC
d. similar, SSS, similarity, TBC​

Mathematics
1 answer:
Vinil7 [7]3 years ago
6 0

Answer:

  b.  not similar

Step-by-step explanation:

The given sides* have the ratio 30:39 = 10:13 in one triangle and the ratio 20:27 = 10:13.5 in the other triangle. Since these ratios are different, the triangles cannot be similar.

____

* These are the sides bracketing the vertical angles at T. If the triangles were similar, the three sides would have to have the ratios 10 : 13 : 13.5.

However, the geometry shown would require that the angle opposite side 13.5 in one triangle have the same measure as the angle opposite side 13 in the other triangle. That is not possible, so it is not possible for these triangles to be similar.

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y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

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2 years ago
This cuboid is made from cm squares
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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
2 years ago
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