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Kobotan [32]
3 years ago
11

A circle is shown. Points A, B, C, and D are on the circle. Lines connect each point to form a quadrilateral. Angle B is (3 x mi

nus 4) degrees and angle D is (2 x minus 6) degrees. The measure of ∠B is (3x – 4 )° and the measure of ∠D is (2x – 6)°. What are the measures of angles B and D? m∠B = ° m∠D = °
Mathematics
2 answers:
Misha Larkins [42]3 years ago
7 0

Answer:

  • ∠B = 110°
  • ∠D = 70°

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary, so ...

  ∠B +∠D = 180°

  (3x -4)° +(2x -6°) = 180° . . . . substitute given expressions

  5x = 190 . . . . . . . . . . . . . . . . divide by °, add 10

  x = 38 . . . . . . divide by 5

Then the angle measures are ...

 ∠B = (3·38 -4)° = 110°

  ∠D = (2·38 -6)° = 70°

horsena [70]3 years ago
6 0

Answer:

angle b = 110

angle d = 70

Step-by-step explanation:

just took edg test

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Step-by-step explanation:

Data given and notation

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\sigma=0.4 represent the population deviation for the sample

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\mu_o =3.3 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

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We can replace in formula (1) the info given like this:  

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P value

Since is a one right tailed test the p value would be:  

p_v =P(z>1.768)=0.039  

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