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dsp73
2 years ago
9

Which new angle is created by extending one side of a triangle?

Mathematics
2 answers:
Rufina [12.5K]2 years ago
7 0

Answer :-  An exterior angle is created by extending one side of a triangle.


Explanation:-

Let ABC a triangle with interior angles ∠A, ∠B and ∠C and one of its side AB is extended to a point P such that a new angle ∠ACP is formed outside the triangle ABC named as exterior angle of ABC.

⇒∠BCA and ∠ACP are supplementary angles.

Also the measure of exterior angle is equal to sum of the opposite interior angles of a triangle.

Andrej [43]2 years ago
4 0
Choice c. exterior sngle
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Answer:

The two stadiums are approximately 3115.1 meters away from each other

Step-by-step explanation:

Since we can construct two right angle triangles between the blimp and the two stadiums as shown in the attached image, then the distance "x" between the two can be find as the difference between the right triangle legs that extend on the ground.

In order to find the size of such legs, one can use the tangent function of the given depression angles as shown below:

tan(75.2^o)=\frac{1100}{a} \\a=\frac{1100}{tan(75.2^o)}\\a\approx  290.6\,\,meters

and for the other one:

tan(17.9^o)=\frac{1100}{b} \\b=\frac{1100}{tan(17.9^o)}\\b\approx  3405.7\,\,meters

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b - a = 3405.7  - 290.6 meters = 3115.1  meters

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2 years ago
A student bought a truck with a down payment of 4000 and monthly payments of $250 for four years. What was the total cost of the
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4000+250(12)(4)

Down Payment plus the price per month, multiplied by the years. The total cost should be $16000.
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Katie has 4 grape candies and 3 cherry candies. The ratio of the mumber of grape candies to the total number of candies is what?
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Step-by-step explanation:

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1 year ago
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A student spent 2 hours studying, 1 hour doing laundry, and 1 ½ hours watching television. What percentage of time was spent doi
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Answer:

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Step-by-step explanation:

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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.

In this problem, we have that:

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X = 30

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