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Kitty [74]
2 years ago
13

Please help i need to finish

Mathematics
1 answer:
elena-s [515]2 years ago
5 0

Answer:

B. \overline A \overline C \cong \overline B \overline D

Step-by-step explanation:

The hypotenuse leg theorem (HL) requires the proof that the hypotenuse and the corresponding leg of the triangles to be equal in length. From the diagram, it can be found that \overline D \overline C is a common (shared) side of both triangles, so the additional fact needed is for the hypotenuses to be the same length.

∴ \overline A \overline C \cong \overline B \overline D is the additional fact needed to prove \triangle ADC \cong \triangle BCD

Hope this helps :)

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How is this equation completed? I cannot find any examples in the book.
djverab [1.8K]

Answer: Option D

t_{max} =19\ s

Step-by-step explanation:

Note that the projectile height as a function of time is given by the quadratic equation

h = -12t ^ 2 + 456t

To find the maximum height of the projectile we must find the maximum value of the quadratic function.

By definition the maximum value of a quadratic equation of the form

at ^ 2 + bt + c is located on the vertex of the parabola:

t_{max}= -\frac{b}{2a}

Where a

In this case the equation is: h = -12t ^ 2 + 456t

Then

a=-12\\b=456\\c=0

So:

t_{max} = -\frac{456}{2*(-12)}

t_{max} =19\ s

7 0
3 years ago
Find the slope of the line through each pair of points (-12,0) (20,0)
AlexFokin [52]

\frac{y2}{x2}  -  \frac{y1}{x1}
That is the formula to find the slope. Hope it will help you.
8 0
3 years ago
1. 7+8-2 .
AnnZ [28]

Answer:

1. 13

2. 11

3. 10

4. 9

5. 12

6. 16

7. 14

8. 40

Step-by-step explanation:


8 0
3 years ago
The following probability distributions of job satisfaction scores for a sample of information systems (IS) senior executives an
Mashcka [7]

Answer:

Step-by-step explanation:

To calculate ;

1) the expected value of the job satisfaction score for senior executives ;

expected value = Summation (Px)

= 1 x 0.05 + 2 x 0.09 + 3 x 0.03 + 4 x 0.42 + 5 x 0.41

= 4.05

2) the expected value of the job satisfaction score for middle managers;

= 1 x 0.04 + 2 x 0.10 + 3 x 0.12 + 4 x 0.46 + 5 x 0.28

= 3.84

c) the variance of job satisfaction scores for executives and middle managers (to 2 decimals).

Executives ; Variance = Summation(PX^2 - Summation(PX)^2

i) For Executive Managers = 1 x 0.05 + 2^2 x 0.09 + 3^2 x 0.03 + 4^2 x 0.42 + 5^2 x 0.41 - 4.05^2 = 1.246 = 1.25

ii) for middle managers ; 1 x 0.04 + 2^2 x 0.10 + 3^2 x 0.12 + 4^2 x 0.46 + 5^2 x 0.28 - 3.84^2 = 1.134 = 1.13

d) the standard deviation of job satisfaction scores for both probability distributions (to 2 decimals). Executives, Middle managers;

For Executives = square root [ 1 x 0.05 + 2^2 x 0.09 + 3^2 x 0.03 + 4^2 x 0.42 + 5^2 x 0.41 - 4.05^2] = 1.12

For Middle Managers ; Square root [1 x 0.04 + 2^2 x 0.10 + 3^2 x 0.12 + 4^2 x 0.46 + 5^2 x 0.28 - 3.84^2 ] = 1.06

e) from the values gotten for the variance of both executive and middle managers, the variance of the former is more than that of the latter as such higher satisfaction with the executive managers.

5 0
3 years ago
A map has a scale of 1 centimeter = 40 kilometer. If the distance between Fort Worth and El Paso is 21.7 cm on a map , how many
ryzh [129]
Aloha!
 1 centimeter= 40 kilometers
The distance between the cities in centimeters is 21.7
 To get the answer into kilometers, you multiply.
So, 21.7 times 40 which is 868 kilometers.  
 To answer your question, the distance between Fort Worth and El Paso is 868 kilometers.
 I hope this helps!
  Adios!:)
5 0
3 years ago
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