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son4ous [18]
2 years ago
12

Help me please!!! 7. What are the measures of ∠a, ∠b, and ∠c?

Mathematics
2 answers:
Sholpan [36]2 years ago
7 0

Answer:

a = 65°

(what's missing for a half turn)

c = 30°

(bc same angle as upper left)

b = 85°

(bc a+b+c must be 180° in sum, as always in triangles)

please brainliest

guajiro [1.7K]2 years ago
7 0

Answer:

a = 45

b = 105

c = 30 .

Step-by-step explanation:

a +  135 = 180  {Linear pair}

         a = 180 - 135

a = 45

d = 30    {Vertically opposite angles}

WA // YZ

c = d   { Alternative interior anlges}

c = 30

a +  b+ c = 180  {Angle sum property of triangle}

45 + b + 30 = 180

       b + 75 = 180

b = 180 -75

b = 105

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An HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you th
anastassius [24]

Answer:

0.288

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\mu = 17.48, \sigma = 3.25, n = 10, s = \frac{3.25}{\sqrt{10}} = 1.027740

Find the probability that the mean printing speed of the sample is greater than 18.06 ppm.

This is 1 subtracted by the pvalue of Z when X = 18.06. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{18.06 - 17.48}{1.027740}

Z = 0.56

Z = 0.56 has a pvalue of 0.712

1 - 0.712 = 0.288

The answer is 0.288

7 0
2 years ago
Need help pls solve Find the area of the figure.
vampirchik [111]

Answer:

32 ft²

Step-by-step explanation:

Given the right angle and equal sides, we have a square. The diagonal is the hypotenuse of a right triangle, so we can use the Pythagorean Theorem to calculate the side lengths, or realize that the side lengths Squared will be the area of the square.

c² = a²+b² Since a² equals b², the equation becomes c² = 2a²

8² = 2a²

64/2 = a²

32 = a², the area of the square.

The side lengths of the square are √32

about 5.657 feet. If we square that square root, we get the area of the square, 32 square feet.

5 0
2 years ago
Ryan spent $3.25 on lunch every day, Monday through Friday. If he had $20 at the start of the week, how much money did he have l
shusha [124]

Monday through Friday is 5 days.

Multiply the cost of lunch by number of days:

3.25 x 5 = $16.25

Subtract the total he spent on lunch from what he started with for money:

20 - 16.25 = 3.75

He had $3.75 left.

6 0
2 years ago
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KengaRu [80]

95 times 2 is 190.

90 times 2 is 180, and 5 times 2 is 10.

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3 0
3 years ago
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Leni [432]

Answer:

Step-by-step explanation: pi r^2

so 42/2 equals 21 radius

volume=22/7 x 21^2

v=1385

5 0
3 years ago
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