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nignag [31]
2 years ago
7

Which describes the relationship between Angle 1 and Angle 2? Line C intersect angle A B D to form angles 1 and 2. Angle 1 and A

ngle 2 are complementary angles. Angle 1 and Angle 2 are equivalent angles. Angle 1 and Angle 2 are adjacent angles. Angle 1 and Angle 2 are supplementary angles.
Mathematics
2 answers:
s2008m [1.1K]2 years ago
6 0

Answer:

Its C

Step-by-step explanation:

this guy above me must get all the respect and credit ok thanks and stay safe

rodikova [14]2 years ago
4 0

Answer: The correct option is the third one. Angle 1 and Angle 2 are adjacent angles.

Step-by-step explanation: A brief explanation of Supplementary angles, Complementary angles, Equivalent angles and Adjacent angles would be very useful in answering this question.

Adjacent angles are two angles that are formed when a line cuts a vertex, thereby causing both angles newly formed to have the same vertex, and the same side(s). A vertex is the endpoint that is formed when two lines meet and form an angle. Both angles 1 and 2 do not have to two equal halves, but it is sufficient that they both are formed in the same vertex and they share the same side(s).

Supplementary angles are two angles that add up to 180 degrees. This is mostly found on straight lines, when another line cuts through the straight line, both angles formed are supplementary (angles on a straight line equals 180 degrees).

Two angles are called complementary when they both add up to 90 degrees. This is mostly observed in a right angled triangle, where one angle is always equal to 90 degrees then the other two angles must add up to 90 degrees and they are described as complementary (sum of angles in a triangle is equal to 180). The angles do not necessarily have to be next to each other (although sometimes they are next to each other). The question does not tell if the angle ABD is a right angle, so we cannot tell for sure that angle 1 and angle 2 are complementary.

Equivalent angles as the name implies are two angles that have the same measurement. This is more applicable to angles in different plane shapes (for instance angles in two congruent triangles). This does not apply to the description of the angles as stated in the question.

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Find the future value of $2000 invested at annual rate of 2.4% compounded quarterly for 8 years. Round your answer to hundredths
MatroZZZ [7]

Answer: $2421.95

Step-by-step explanation:

A = p(1 + r/n) ^nt

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3 0
3 years ago
The body temperatures of adults are normally distributed with a mean of 98.6degrees° F and a standard deviation of 0.60degrees°
Schach [20]

Answer:

97.72% probability that their mean body temperature is greater than 98.4degrees° F.

Step-by-step explanation:

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

Normal probability distribution:

Problems of normally distributed samples can be 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 random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 98.6, \sigma = 0.6, n = 36, s = \frac{0.6}{\sqrt{36}} = 0.1

If 36 adults are randomly​ selected, find the probability that their mean body temperature is greater than 98.4degrees° F.

This is 1 subtracted by the pvalue of Z when X = 98.4. So

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

By the Central Limit Theorem

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

Z = \frac{98.4 - 98.6}{0.1}

Z = -2

Z = -2 has a pvalue of 0.0228

1 - 0.0228 = 0.9772

97.72% probability that their mean body temperature is greater than 98.4degrees° F.

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You multiply the 1 (in 1/2) by 3, and the 2 (in 1/2) by 3 to get 3/6. You need to have a common denominator, and 6 was the common denominator.
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