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zavuch27 [327]
3 years ago
13

Find measures of complementary, supplementary, vertical, and adjacent angles VZ

Mathematics
1 answer:
DaniilM [7]3 years ago
6 0

Answer:

The measure of the angle is 150°, the measure of its supplementary is 30°

Step-by-step explanation:

The given parameters are;

The measure of the given angle = 5 × The measure of its supplementary angle

Let "x" represent the given angle, and let "y" represent its supplementary angle, we have;

x = 5 × y...(1)

x + y = 180°...(2)

By substituting the value of x = 5 × y, from the first equation into the second equation, we have;

x + y = 180°

x + y = 5 × y + y = 5·y +  y = 6·y = 180°

y = 180°/6 = 30°

y = 30°

x = 5 × y = 5 × 30° = 150°

x = 150°

The measure of the angle = x = 150°, the measure of its supplementary = y = 30°.

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A political pollster wants to know what proportion of voters are planning to vote for the incumbent candidate in
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Answer:

90% confidence interval -> {0.4529, 0.5871}

Step-by-step explanation:

<u>Check conditions for a 1-proportion z-interval:</u>

np>10 -> 150(0.52)>10 -> 78>10 √

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