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Katena32 [7]
3 years ago
7

Triangle ABC

Mathematics
1 answer:
Virty [35]3 years ago
5 0

Answer:

15 cm

Step-by-step explanation:

Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. To solve, we will set up a proportion and solve.

A proportion is two equal ratios set equal to each other. We form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). Out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

\frac{BC}{EF} =\frac{AC}{DF}.

\frac{18}{x}=\frac{12}{10}

To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

\frac{18}{x}=\frac{12}{10}\\ 18*10 = x*12 \\ 180 = 12x \\ 15 = x

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The center of the circle is (3,9) so the answer is A
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3 years ago
Which ordered pair is the solution to the system of linear equations y=5x+8 and -4x-1 ?
Margarita [4]
Hello : 
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y= -4x-1 
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y = 5(-1)+8 = 3 
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8 0
3 years ago
Read 2 more answers
The proportion of students who own a cell phone on college campuses across the country has increased tremendously over the past
galina1969 [7]

Complete Question

The complete question is shown on the uploaded image  

Answer:

1 ) The correct option B

2) The correct option is  C

3)  The correct option is  C

4)  The correct option is  C

Step-by-step explanation:

From the question we are told that

   The proportion that own a cell phone  is  p = 0.90

    The  sample  size is  n =  15

Generally the appropriate distribution for X is mathematically  represented as

      X  \ is  \ B( n , p )

So  

       X  \ is  \ B( 15 , 0.90 )

Generally the number students that  own a cell phone in a simple random sample of 15 students is mathematically represented as

              \mu  =  n  *  p

              \mu  =  15 *  0.90

              \mu  =   13.5

Generally the standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is mathematically represented as

                \sigma  =  \sqrt{ n *  p *  q }

Where  q is mathematically evaluated as

          q =  1- p

           q =  1- 0.90

           q =  0.10

            \sigma  =  \sqrt{ 15 *  0.90 *  0.10 }

            \sigma  = 1.16

Generally the probability that all students in a simple random sample of 15 students own a cell phone is mathematically represented as

   P(X =  15) =  \left 15} \atop {}} \right.C_{15} *  p^{15} *  q^{15 - 15}    

     P(X =  15) =  \left 15} \atop {}} \right.C_{15} *  (0.90)^{15} *  (0.10 )^{15 - 15}

From the combination calculator  is      \left 15} \atop {}} \right.C_{15} =  1

     P(X =  15) = 1 *  0.205891 *  1

      P(X =  15) = 0.206

7 0
3 years ago
Use the confidence interval to find the margin of error and the sample mean (0.118,0.220)
malfutka [58]

Answer:

μ = 0.169

ME = 0.051

Step-by-step explanation:

The confidence interval is:

CI = μ ± ME

So the mean is the middle of the confidence interval, and the margin of error is half the difference.

μ = (0.118 + 0.220) / 2 = 0.169

ME = (0.220 − 0.118) / 2 = 0.051

5 0
3 years ago
Emily and her family are planning to fly to Italy over the summer. If they fly out from LAX, the distance of the trip will be 6,
Iteru [2.4K]

The speed is the ratio between the distance and the time:

s=\frac{d}{t}

Data:

d=6343miles

t=9h

s=\frac{6343\text{miles}}{9h}=704.77\frac{miles}{h}Then, the plane traveled at a speed of 704.77 miles per hour.

8 0
1 year ago
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