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aksik [14]
2 years ago
10

State if the triangles are similar. If so, how do you know they are

Mathematics
2 answers:
Vaselesa [24]2 years ago
4 0
Answer: No

Step-by-Step Explanation:

In Triangle UTS,

UT = 96
TS = 64 + 44 = 108
US = 96
Angle S (common)

In Triangle CDS,

CD = 40
DS = 44
CS = 96 - 57 = 39
Angle S (common)

Now compare the Ratios of the Corresponding Sides.

=> UT/CD = 96/40 = 12/5
=> TS/DS = 108/44 = 27/11
=> US/CS = 96/39 = 32/13

Therefore, their Sides are not in proportional ratios. So, these triangles are not similar.
Mazyrski [523]2 years ago
3 0

Answer:

yes the triangles are similar

Step-by-step explanation:

I know this because the triangle still keeps the same shape for both triangles, one is simply scaled down to size.

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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

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Step-by-step explanation:

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