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kompoz [17]
2 years ago
13

What are the measures of angles a,b, and c? Show your work and explain your answers.

Mathematics
2 answers:
Virty [35]2 years ago
8 0

Answer:

c is 110 degrees

b is 70 degrees

a is 20 degrees

Step-by-step explanation:

for c, 180-70=110

for b, 180- angle c=180-110=70

for a, 180-90-angle b=180-90-70=20

lesantik [10]2 years ago
6 0

Answer:

a = 35°

b = 55°

c = 110°

Step-by-step explanation:

Vertically opposite angles are equal.

a = 35° [Vertically opposite angles]

Sum of all angles of a triangle is 180°.

a + b + 90° = 180° [Angles of a triangle]

=> 35° + b + 90° = 180°

=> 35° + b = 180° - 90°

=> 35° + b = 90°

=> b = 90° - 35°

=> b = 55°

Linear pair of angles are supplementary.

c + 70° = 180° [Linear pair of angles]

=> c = 180° - 70°

=> c = 110°

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Dovator [93]
Heya!!!


Answer to your question:

Let Adam's points be x.

Nick has points =7200=20%of x+x

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x/5 +x=7200

6x/5=7200

x= 7200*5/6

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5 0
3 years ago
It is generally claimed that the average body temperature for healthy human adults is 98.6°F. To test this claim a simple random
Rzqust [24]

Answer:

Explained below.

Step-by-step explanation:

The information provided is as follows:

\mu=98.6^{o}F\\\bar x=98.1^{o}F\\s=0.9^{o}F\\n=9

(1)

A single mean test is to be performed in this case.

As the population standard deviation is not provided, a one-sample <em>t</em>-test will be used.

The correct option is b.

(2)

The null hypothesis is:

<em>H</em>₀: The average temperature in the population is 98.6°F, i.e. <em>μ </em>= 98.6°F.

The correct option is b.

(3)

The alternative hypothesis is:

<em>Hₐ</em>: The average temperature in the population is less than 98.6°F, i.e. <em>μ </em>< 98.6°F.

The correct option is c.

(4)

The standard deviation of the sample mean is as follows:

SD_{\bar x}=\frac{s}{\sqrt{n}}=\frac{0.9}{\sqrt{9}}=0.3^{o}F

Thus, the value of SD is 0.3°F.

(5)

Compute the value of test statistic as follows:

t=\frac{\bar x-\mu}{SD_{\bar x}}

  =\frac{98.1-98.6}{0.3}\\\\=-1.666666667\\\\\approx -1.67

Thus, the value of test statistic is -1.67.

(6)

The degrees of freedom of the test are:

df = n - 1

   = 9 - 1

   = 8

Thus, the degrees of freedom of the test is 8.

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3 years ago
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3 years ago
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