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3 years ago

13

A pentagon has an 80° angle and 100° angle. The remaining three angels have a ratio of 2:3:4. The measure of the largest angle,

in degrees, is:

1 answer:

Genrish500 [490]3 years ago

3 0

Answer:

140,150

Step-by-step explanation:

The sum of the angles in a polygon is

180(n−3)

For a pentagon, this equals 540. Since the first 3 angles add up to 240, the remaining 2 angles must add up to 540−240=300∘

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If a vertical line is dropped from the x-axis to the point (12, –9) in the diagram below, what is the value of sec?

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Answer:

Value of $\sec \theta = \frac{5}{4}$

Step-by-step explanation:

Given: A vertical line is dropped from the x-axis to the point (12, -9) as shown in the diagram below;

To find the value of $\sec \theta$ .

By definition of secants;

$\sec \theta = \frac{1}{\cos \theta}$

Now, first find the cosine of angle $\theta$

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$\cos \theta = \frac{12}{15} = \frac{4}{5}$

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therefore, the value of $\sec \theta$ is, $\frac{5}{4}$

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