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vivado [14]
3 years ago
6

Figure LMNO maps to L’M’N’O’ by a 125° rotation about point T Which congruency statement is correct?

Mathematics
2 answers:
devlian [24]3 years ago
7 0

We have been given that Figure LMNO maps to L’M’N’O’ by a 125° rotation about point T. We are asked to choose correct congruency statement about our figures.

Since we know that rotations are isometric and they preserve angle measures.

We can see that after rotating figure LMNO about point T, angle L will correspond to angle L' and angle M, N and O will correspond to angles M', N' and O' respectively.

Therefore, figure LMNO will be congruent to L'M'N'O' and first option is the correct choice.

gogolik [260]3 years ago
6 0

Answer:

A.LMNO ≅ L'M'N'O


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In a certain city, there are about one million eligible voters. A simple random sample of size 10,000 was chosen to study the re
Ronch [10]

Answer:

REQUIRED TEST STATICS IS 35.19

Step-by-step explanation:

total size of sample = 10,000

                                     men                            women

voted                           2777                            3466

did not vote                  1444                             2313

By chi square test we can find the relationship between gender and participation in the election

<em>X^2 = \frac{ N(ad-bc)^2}{(a+c)(b+d)+(a+b)(c+d)}</em>

where

a represent  = 2777, b = 3466, c= 1444, d = 2313, N = 10000

Putting values to get chis square statics

<em>X^2 = \frac{ 10000(2777*2313-3466*1444)^2}{(2777+1444)(3466+2313)+(2777+3466)(1444+2313)}</em>

<em>X^2 = = 35.159</em>

HENCE REQUIRED TEST STATICS IS 35.19

3 0
3 years ago
1. A plane is flying at an altitude of 13000 feet. The angle of depression from the plane to a control tower is 20 degrees. The
Mariulka [41]

Answer:

see explanation

Step-by-step explanation:

There is a right triangle formed between the height above the tower to the plane, the horizontal and the line from the tower to the plane.

The height above the tower to the plane = 13000 - 150 = 12850 ft

The angle between the plane and the tower is 20° , angle of depression.

Using the tangent ratio in the right triangle formed, with the adjacent side being the horizontal ( hor ) distance, then

tan20° = \frac{opposite}{adjacent} = \frac{12850}{hor} ( multiply both sides by hor)

hor × tan20° = 12850 ( divide both sides by tan20° )

hor = \frac{12850}{tan20} ≈ 35305 ft ( to the nearest foot )

(2)

Arianna is 60 + 5 = 65 ft above the ground ( to her eye level )

Using the right triangle formed with legs 65 and 37  and angle of depression x, then

tanx° = \frac{opposite}{adjacent} = \frac{37}{65} , thus

x = tan^{-1} (\frac{37}{65} ) ≈ 30° ( to the nearest degree )

4 0
3 years ago
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sattari [20]
It is 9 millimeters wide
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Question
Gnoma [55]

Given parameters:

     y varies directly as w;

   This interpreted implies that as y increases, we increases by a certain factor or amount;

    So,  y ∝  w

           y  = kw

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Now, given that y  = 8 and w = 2

Input in the equation to solve for k;

               8 = k x 2

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Now to the second part,

          if v is directly proportional to w;

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The equation that relates v to w is v = 4w

3 0
3 years ago
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When two fractions are equivalent that means that different fractions have the same number
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