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zhenek [66]
4 years ago
10

Number 3 I don’t understand it

Mathematics
1 answer:
yuradex [85]4 years ago
5 0
The measures of complementary angles add up to 90 degrees. Angles A and B therefore add up to 90 degrees.

To find the value of x, set the sum of (the measures of) A and B to 90 (degrees), and solve algebraically.

m∠A + m∠B = 90°
(3x + 5)° + (2x - 15)° = 90°

5x - 10 = 90
5x = 100

x = 20

Then, plug the value of x back into each expression to find the measures of angles A and B.

m∠A = (3x + 5)°
m∠A = (3(20) + 5)°
m∠A = (60 + 5)°

m∠A = 65°

m∠B = (2x - 15)°
m∠B = (2(20) - 15)°
m∠B = (40 - 15)°

m∠B = 25°

You can check to make sure that the angles are complementary by adding them together. Their measures should equal to 90°.

65° + 25° = 90°
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The paint used to make lines on roads must reflect enough light to be clearly visible at night. Let µ denote the true average re
musickatia [10]

Answer:

(a) P-value = 0.001

Conclusion: The average reflectometer reading for the new type of paint under consideration is greater than 20.

(b) P-value = 0.036

Conclusion: The average reflectometer reading for the new paint under consideration is 20

Step-by-step explanation:

The test is a one-tailed test because the alternate hypothesis is expressed using greater than.

(a) n = 16, t = 3.3, a = 0.05

Cumulative area of the test statistic t is 0.9995

P-value = 1 - 0.9995 = 0.0005 = 0.001 (to 3 decimal place)

Conclusion:

Reject H0 because the P-value 0.001 is less than the significance level 0.05.

(b) n = 8, t = 1.8, a = 0.01

Cumulative area of the test statistic t is 0.9641

P-value = 1 - 0.9641 = 0.0359 = 0.036 (to 3 decimal places)

Conclusion:

Fail to reject H0 because the P-value 0.036 is greater than the significance level 0.01

5 0
3 years ago
Prism A and prism B are similar with a ratio of similarity of 2:3. If the volume of prism A is 36 cubic units, what is the volum
kozerog [31]
Ratio of their
 x = 27*36 / 8 volumes = 2^3 : 3^3  or 8:27

so 8/27 = 36/x

x = 27*36 / 8 =  121.8 cubic units
5 0
4 years ago
2,5,15,18,54,57.....<br> পরের সংখ্যা কত
Tomtit [17]

Answer:

171 (assuming that you want to know the next term)

Step-by-step explanation:

We get from 2 to 5 by adding 3. We then get from 5 to 15 by multiplying by 3.

This pattern repeats so to get from 54 to 57 we have added 3 again so to get the next term we multiply 57 by 3 to give 171.

6 0
3 years ago
What is the equation of a line that is parallel to
mariarad [96]

Answer:

23+5y=23x +5

5y=23x-18

y=23/5x - 18/5

<u>y--7=</u>23/5

x-6

5y+35=23x-138

5y=23x-203

y=23/5x -203/5

Step-by-step explanation:

7 0
3 years ago
How do I solve x for midsegments
satela [25.4K]
You basically just divide what ever number by 2
7 0
4 years ago
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