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LenaWriter [7]
3 years ago
12

Find the measure of the angle indicated

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
7 0

Answer:

60° and 67°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(49)

17x + 8 is an exterior angle of the triangle, thus

17x + 8 = 50 + 10x ( subtract 10x from both sides )

7x + 8 = 50 ( subtract 8 from both sides )

7x = 42 ( divide both sides by 7 )

x = 6

Thus

∠ C = 10x = 10(6) = 60°

(50)

99° is an exterior angle of the triangle, thus

2x + 10 + 6x + 1 = 99 , that is

8x + 11 = 99 ( subtract 11 from both sides )

8x = 88 ( divide both sides by 8 )

x = 11

Thus

∠ T = 6x + 1 = 6(11) + 1 = 66 + 1 = 67°

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Answer:

 2) 1/3

Step-by-step explanation:

The repeating decimal can be converted to a fraction by multiplying it by 10^n and subtracting the original value. n = number of repeating digits. This process cancels all of the repeating digits, so you can find the equivalent fraction.

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Your calculator can help you answer this:

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Step-by-step explanation:

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Step-by-step explanation:

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Given the information below, write the conclusion in context. 1. H0 : The proportion of defective batteries = 0.02 2. HA : The p
Marizza181 [45]

Answer:

z = -1.23

And we can calculate the p value with the following probability taking in count the alternative hypothesis:

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And for this case using a significance level of \alpha=0.05 ,0.1 we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough  evidence to conclude that the true proportion is less than 0.02

Step-by-step explanation:

For this case we want to test the following system of hypothesis:

Null hypothesis: p =0.02

Alternative hypothesis: p < 0.02

The statistic for this case is given by:

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p_v = P(z

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Answer:

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