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Brilliant_brown [7]
3 years ago
11

one of the Interior angles of a triangle is equal to 30 degrees and one of the exterior angles is equal to 40 degrees find the r

emaining interior angles of this triangle
Mathematics
2 answers:
Sonja [21]3 years ago
6 0
If one of the exterior angles is 40, you can find its adjacent interior angle by subtracting 40 from 180. This is 40, so the triangle has 2 interior angles that are equal to 40. Now we have 2 of 3 interior angles. The sum of the measures of the interior angles of a triangle is 180, so we can set this equation up:

x + 40 + 40 = 180
x + 80 = 180
x = 100

So the triangle's angles have measures of 40,40 and 100 degrees.
Alex17521 [72]3 years ago
5 0

Answer:

Remaining interior angles are 10 degree  and 140 degree

Step-by-step explanation:

One of the exterior angles is equal to 40

Angles in a straight line is 180 degree.

The interior angle adjacent to the exterior angle is 180-40=140

Given: one of the Interior angles of a triangle is equal to 30 degrees

So two interior angles are 30  and 140 degrees

Sum of angles in a triangle is 180 degree

To find the remaining interior angle we subtract the two interior angles from 180 degree

180-30-140 = 10

Remaining interior angles are 10 degree  and 140 degree

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Step-by-step explanation:

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Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found that about 21.4% of five-syllable
notsponge [240]

Complete Question

ymposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found that about 21.4% of five-syllable sequences in Symposium are of the type in which four are short and one is long. Suppose an antiquities store in Athens has a very old manuscript that the owner claims is part of Plato's Dialogues. A random sample of 498 five-syllable sequences from this manuscript showed that 129 were of the type four short and one long. Do the data indicate that the population proportion of this type of five-syllable sequence is higher than that found in Plato's Symposium? Use = 0.01.  

a. What is the value of the sample test statistic? (Round your answer to two decimal places.)  

b. Find the P-value of the test statistic. (Round your answer to four decimal places.)

Answer:

a) Z=2.45

b) P Value=0.0073

Step-by-step explanation:

From the question we are told that:

Probability of Wishart and Leach P=21.4=>0.214

Population Size N=498

Sample size n=12

Therefore

P'=\frac{129}{498}

P'=0.2590

Generally the Null and Alternative Hypothesis is mathematically given by

H_0:P=0.214

H_a:=P>0.214

Test Statistics

Z=\frac{P'-P}{\sqrt{\frac{P(1-P)}{n}}}

Z=\frac{0.2590-0.214}{\sqrt{\frac{0.214(1-0.214)}{498}}}

Z=2.45

Therefore P Value is given as

P Value =P(Z\geq 2.45)

P Value =1-P(Z\leq 2.45)

P Value =1-0.99268525

P Value=0.0073

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The graph of a linear function passes through the points (-
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Answer:

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