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Reika [66]
3 years ago
10

ANSWER ASAP PLEASEEE

Mathematics
1 answer:
irga5000 [103]3 years ago
3 0

Answer:

x = 20°

Step-by-step explanation:

Since BD = CD then Δ BCD is isosceles and its base angles are congruent, so

∠ CBD = ∠ BCD = 80° , then

∠ BDC = 180° - (80 + 80)° = 180° - 160° = 20°

∠ ADC = 180° - (80 + 60)° ← sum of angles in triangle

∠ ADC = 180° - 140° = 40° , then

∠ BDC + x = 40°

20° + x = 40° ( subtract 20° from both sides )

x = 20°

           

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Given a quadratic function in vertex form:
Alja [10]

Answer:

See below

Step-by-step explanation:

<u>Part A</u>

A vertical stretch takes place when a\cdot f(x) given that  |a| > 1

<u>Part B</u>

A vertical compression takes place when a\cdot f(x) given that 0 < |a| < 1

<u>Part C</u>

A vertical stretch is different than a horizontal compression:

  • In a vertical stretch, the input stays the same, but the output is multiplied by the scale factor
  • In a horizontal compression, the output stays the same, but the input is multiplied by the scale factor

<u>Part D</u>

A reflection across the x-axis means that the output, our y-variable, is the opposite sign. This means that all values of a must be negative such that a\cdot f(x) as mentioned in parts A and B. Also, in part C, since our scale factor is negative, the output is the only one being multiplied by the scale factor.

7 0
2 years ago
10 point to Help with this ?
DENIUS [597]

All the transformations for which A and B would be congruent are; Translation, Reflection, and Rotation.

<h3>What is congruence transformation?</h3>

A congruence transformation is defined as a movement of shape such that it can produce a shape that is congruent to the original.

There are three types of congruence transformation;

1. Translation

2. Reflection

3. Rotation

Given;

Shape B is made by applying a single transformation to shape A.

Hence, All the transformations for which A and B would be congruent are; Translation, Reflection, and Rotation.

Learn more about transformations ;

brainly.com/question/11352944

#SPJ1

5 0
2 years ago
The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance,
galina1969 [7]

Answer:

Range = 13

Mean = 8.3

Variance = 17.61

Step-by-step explanation:

Given the population dataset :

2, 9, 15, 4, 12, 9, 13, 6, 3, 10

1.) Range : (maximum - minimum)

Maximum = 15 ; minimum = 2

Range = (15 - 2) = 13

2.) population mean (μ) :

μ = ΣX / n

n = sample size

μ = (2 + 9 + 15 + 4 + 12 + 9 + 13 + 6 + 3 + 10) / 10

μ = 83 / 10

μ = 8.3

3.) Population variance (s²)

Σ(x - μ)² / n

=[(2 - 8.3)^2 + (9 - 8.3)^2 + (15 - 8.3)^2 + (4 - 8.3)^2 + (12 - 8.3)^2 + (9 - 8.3)^2 + (13 - 8.3)^2 + (6 - 8.3)^2 + (3 - 8.3)^2 + (10 - 8.3)^2] / 10

s² = 176.1 / 10

s² = 17.61

8 0
3 years ago
The ages of the Oscar-winners for best actor and actress for the years 1970 through 1990 are given below: Women: 34, 34,26,37,42
Artemon [7]

Answer:

See explanation below.

Step-by-step explanation:

Numerical way

We can calculate the mean and the standard deviation from a sample with the following formulas:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

s= \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}

We have the following dataset for women: 34,34,26,37,42,41,35,31,41,33,30,74,33,49,38,61,21,41,26,80,72

And the mean and deviation are:

\bar X_F = 41.857

s_F = 16.399

We can calculate the median ordering the data like this:

21,26,26,30,31,33,33,34,34,35,37,38,41,41,41,42,49,61,72,74,80

And the median would be on the 11 position of the data ordered, for this case is:

median_F = 37

Minimum_F = 21 , Maximum_F = 80

And the range is given by: Range_F = 80-21=59

We can also calculate the coefficient of variation given by:

\hat{CV} =\frac{s}{\bar X} = \frac{16.399}{41.857}=0.392

We have the following dataset for men:

43, 40,48,48,56,38,60,32,40,42,37,76,39,55,45,35,61,33,51,32,42

And the mean and deviation are:

\bar X_M = 45.381

s_M = 11.218

We can calculate the median ordering the data like this:

32, 32,33,35,37,38,39,40,40,42,42,43,45,48,48,51,55,56,60,61,76

And the median would be on the 11 position of the data ordered, for this case is:

median_M = 42

Minimum_M = 32 , Maximum_F = 76

And the range is given by: Range_M = 76-32=44

We can also calculate the coefficient of variation given by:

\hat{CV} =\frac{s}{\bar X} = \frac{11.218}{45.381}=0.247

We se that the mean for the male groups is higher than the mean for female group. The deviation is higher for the female group comapred to the male group. We have more variation for the female group as we can see on the range and the coeffcient of variation.

Graph

We can see the histograms for each group on the figures attached.

As we can see the histogram for males is skewed to the right with the median lower than the mean.

By the other hand the histogram for the female group seems to be skewed to the right also but with missing values on the interval 50-60, for this reason we have more variation compared to the male group.

7 0
3 years ago
What is the surface area of the square pyramid represented by the net? 9 m Enter your answer in the box 6 m 9m 6 m 9 m m 9 m​
Darya [45]

Answer:

144

Step-by-step explanation:

On this shape we are going to splt up the 4 triangles for the square to make it simple.

So, firstly, plug is the h an w of one of the triangles into the formula for the area of a triangle which is hxw/2

H=9

W=6

9x6/2=27

Then multiply the area of the triangle, 27, to get the total area of all 4 triangles (since they all have the same measurements)

27x4=108

108 is the area of all 4 triangles

Next, just put the l and w into the equation for the area of a square which is lxw

L=6

W=6

6x6=36

36 is the area of the square

Lastly, just add the areas of the triangles and the square together

108+36=144

144 is the total area/surface area, of the pyramid

5 0
2 years ago
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