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frozen [14]
2 years ago
14

RS bisects ∠QRT. If m∠QRT = 116, what is m∠QRS?

Mathematics
2 answers:
Afina-wow [57]2 years ago
8 0
Bisecting an angle means it divides the angle into two equal parts. If line rs bisects angle qrt which has a measure of 116 degrees, then angle qrs should have an angle of 58 degrees. Hope this answers the question. Have a nice day.
andrezito [222]2 years ago
8 0

Answer:

The measure of ∠QRS is 58° .

Step-by-step explanation:

Definition of the bisect

Bisect means divided anything in two equal parts .

As given

RS bisects ∠QRT.

This RS divided the ∠QRT into two equal parts .

If m∠QRT = 116 .

Thus

\angle QRS = \frac{\angle QRT}{2}

\angle QRS = \frac{116}{2}

∠QRS = 58°

Therefore the measure of ∠QRS is 58° .

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As we are given number is a negative number, we can just say that

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2 years ago
Conscientiousness is a tendency to show self-discipline, act dutifully, and aim for achievement. The trait shows a preference fo
MAVERICK [17]

Answer:

a

The Null hypothesis represented as

     H_0: \mu_1 -  \mu_2  = 0

   

The Alternative hypothesis represented as

     H_a: \mu_1 -  \mu_2  <  0

b

p-value =  P(Z <  -3.37  )  = 0.000376

c

There is insufficient evidence to conclude that graduate students score higher, on average, on the HPI than undergraduate students

Step-by-step explanation:

From the question we are told that

   The population size is  n= 650

    The  sample size for graduates is  n_1 =  300

     The sample  mean for graduates is \= x _1 =  148

      The sample  standard deviation for graduates is \sigma_1  =  16

    The  sample size for under-graduates is n _2 = 350

         The sample  mean for under-graduates is \= x _2 =  153

         The sample  standard deviation for graduates is \sigma_2  =  21

The Null hypothesis represented as

     H_0: \mu_1 -  \mu_2  = 0

   

The Alternative hypothesis represented as

     H_a: \mu_1 -  \mu_2  <  0

Where \mu_1 \ and \  \mu_2 are the population mean

  Now the test statistic is mathematically represented as

          t =  \frac{(\= x_1 - \= x_2 ) }{ \sqrt{ \frac{ (n_1 - 1 )\sigma_1 ^2 + (n_2 - 1)\sigma_2^2}{n_1 +n_2 -2} }  * \sqrt{ \frac{1}{n_1}  + \frac{1}{n_2} } }

substituting values

       t =  \frac{(148 - 153 ) }{ \sqrt{ \frac{ (300- 1 )16 ^2 + (350 - 1) 21^2}{300 +350 -2} }  * \sqrt{ \frac{1}{300}  + \frac{1}{350} } }

      t = -3.37

The p-values is mathematically evaluated as

     p-value =  P(Z <  -3.37  )  = 0.000376

The above answer is gotten using a p-value calculator  at (0.05) level of significance

     Looking the p-value we see that it is less than the level of significance (0.05)  so Null hypothesis is rejected

Hence there is insufficient evidence to conclude that graduate students score higher, on average, on the HPI than undergraduate students

   

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2 years ago
In triangle PQR, PS, QT,and RU are the medians , and PS and QT intersect at the point (4,5)
jekas [21]
We are given with a triangle and three medians. The intersection of the two medians is also given which is (4,5). What is asked is the intersection between another pair of medians. Since the medians of a triangle intersect at the centroid of a triangle, the intersection is also
<span>B. (4, 5)</span>
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stiv31 [10]

<em><u>Complete Question:</u></em>

What is the y intercept of y = -3-7x

<em><u>Answer:</u></em>

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<u>Finding y intercept: </u>

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viktelen [127]
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