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Westkost [7]
3 years ago
8

The proof that ΔRST ≅ ΔVST is shown. Given: ST is the perpendicular bisector of RV. Prove: ΔRST ≅ ΔVST Triangle R S V is cut by

perpendicular bisector S T. Point T is the midpoint of line segment R V. What is the missing reason in the proof? Statements Reasons 1. ST is the perpendicular bisector of RV. 1. given 2. ∠STR and ∠STV are right angles. 2. def. of perpendicular bisector 3. RS ≅ VS 3. ? 4. ST ≅ ST 4. reflexive property 5. ΔRST ≅ ΔVST 5. HL theorem perpendicular bisector theorem converse of the perpendicular bisector theorem Pythagorean theorem SSS congruence theorem
Mathematics
2 answers:
Alekssandra [29.7K]3 years ago
4 0

Answer:

perpendicular bisector theorem

Step-by-step explanation:

uwu.

Anton [14]3 years ago
3 0

Answer:

B

Step-by-step explanation:

Edg

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4 0
3 years ago
The manufacturer of an electronic device claims that the probability of the device failing during the warranty period is 0.005.
Zielflug [23.3K]

Answer:

The  value is  P(X \ge  15) =  0.5

Step-by-step explanation:

From the question we are told that

    The probability of the device failing during the warranty period is p =  0.005

    The  sample size is  n = 3000

     The random variable  considered is  x  =  15

Generally this is distribution is binomial given the fact that there is only two out comes hence

      X  which is a variable representing a randomly selected selected electronic follows a binomial distribution i.e

     X  \~ \  B(n , p)

Now the mean is mathematically evaluated as

      \mu  =  n *  p

=>   \mu  = 3000 *  0.005

=>    \mu  =15

The standard deviation is mathematically represented as

      \sigma  =  \sqrt{np(1 -p )}

=>  \sigma  =  \sqrt{3000 *  0.005 * (1 - 0.005 )}

=>   \sigma  =  3.86

Now given that n is very large, then it mean that we can successfully apply normal approximation on this  binomial distribution

So

    P(X \ge  15) =  P( \frac{X - \mu}{\sigma }  \ge \frac{x - \mu}{\sigma } )

Now  applying  Continuity Correction we have

   P(X \ge  (15-0.5)) =  P( \frac{X - \mu}{\sigma }  > \frac{(15 -0.5) - 15}{3.86 } )

Generally  \frac{X - \mu}{\sigma }   =  Z (The \ standardized \ value  \ of  \ X)

    P(X \ge  (15-0.5)) =  P(Z >-0.130 )

From the z-table  

       P(Z >-0.130 )  =0.5

Thus  

    P(X \ge  15) =  0.5

 

   

7 0
4 years ago
A number cube is rolled. What is the probability that the result is a number greater than 4?​
JulijaS [17]

Answer:

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Step-by-step explanation:

Number cube has 6 sides so a number greater than 4 is 5 and 6. Which is 2 times so 2/6 which can simplify to 1/3

5 0
3 years ago
Find X<br><br> Options:<br><br> 6<br> 4 square root 6<br> 6<br> square root 146
elena-14-01-66 [18.8K]

For this case we can apply the Pythagorean theorem to find "x". Taking the rectangle triangle of base 5 we have:

x = \sqrt {11 ^ 2-5 ^ 2}\\x = \sqrt {121-25}\\x = \sqrt {96}\\\x = \sqrt {4 ^ 2 * 6}

By definition of power properties we have:

\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}

So:

x = 4 \sqrt {6}

Answer:

x = 4 \sqrt {6}

8 0
3 years ago
Read 2 more answers
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