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polet [3.4K]
3 years ago
6

Please help!!!!

Mathematics
1 answer:
tatyana61 [14]3 years ago
3 0

Answer:

Step-by-step explanation:

From the figure attached,

If the figures shown are congruent (Equal in shape and size), length of all the sides must be equal.

Therefore, sides sides CD and GH must be equal in measures.

Distance between the two points (x_1,y_1) and (x_2,y_2) is given by,

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Length of the side CD having ends C(-4, 4) and D(0, 5) will be,

CD = \sqrt{(-4-0)^2+(4-5)^2}

CD = \sqrt{(16+1)}

     = \sqrt{17}

Length of GH having ends G(0, -4) and H(4, -5) will be,

GH = \sqrt{(0-4)^2+(-4+5)^2}

      = \sqrt{16+1}

      = \sqrt{17}

Therefore, m(CD) = m(GH)

Similarly, we can prove all corresponding sides of two figures equal in measure.

This shows ABCD ≅ EFGH.

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The measure of RST can be represented by the expression (6x + 12)°.
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Answer:

The measure of angle RST is 120\°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m -----> equation A

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  (d)  f(x) = (x − 3)^2(x − 2)(x − 1)

Step-by-step explanation:

In this context, a crossing of the axis at x=p means there is a factor of (x-p). A "touch" of the axis at x=q means there is a factor of (x -q)^2.

A crossing at x=1 and x=2, and a touch at x=3 means the factors are ...

  f(x) = (x -1)(x -2)(x -3)^2 . . . . . matches the last choice

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If a toy truck is created in a 2:9 scale, and the wheel of the toy is 14cm wide, how wide is the actual wheel?
lesya [120]

Answer:63 cm

Step-by-step explanation:

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Use the given minimum and maximum data​ entries, and the number of​ classes, to find the class​ width, the lower class​ limits,
Gennadij [26K]

Using proportions and the information given, it is found that:

  • The class width is of 14.375.
  • The lower class limits are: {19, 33.375, 47.750, 62.125, 76.500, 90.875, 105.250, 119.625}.
  • The upper class limits are: {33.375, 47.750, 62.125, 76.500, 90.875, 105.250, 119.625, 134}.

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

  • Minimum value is 19.
  • Maximum value is of 134.
  • There are 8 classes.
  • The classes are all of equal width, thus the width is of:

W = \frac{134 - 19}{8} = 14.375

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

The intervals will be of:

19 - 33.375

33.375 - 47.750

47.750 - 62.125

62.125 - 76.500

76.500 - 90.875

90.875 - 105.250

105.250 - 119.625

119.625 - 134.

  • The lower class limits are: {19, 33.375, 47.750, 62.125, 76.500, 90.875, 105.250, 119.625}.
  • The upper class limits are: {33.375, 47.750, 62.125, 76.500, 90.875, 105.250, 119.625, 134}.

A similar problem is given at brainly.com/question/16631975

6 0
3 years ago
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