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3 years ago

Will GIVE BRAINLIEST IF CORRECT The diagram shows a convex polygon. Find the value of a.

Mathematics

1 answer:

katen-ka-za [31]3 years ago

3 0

Answer:

The value of a is 15.

Step-by-step explanation:

First, you have to find the total interior angles of the polygon using the formula, sum = (n-2)×180°, where n represents the number of sides :

sum = (n-2)×180°

sum = (5-2)×180°

sum = 540°

Given that the sum of the interior angle is 540° so in order to find the value of a, you have to add up all the angles in terms of a :

3a + 150 + 8a + 6a + 9a = 540

26a + 150 = 540

26a = 390

a = 390 ÷ 26

a = 15

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lozanna [386]

Answer:

The average speed on this trip was 46.15 mph. The correct option is A.

Step-by-step explanation:

In order to calculate the average speed, we need to apply the following formula:

$v_{avg} = \frac{\text{distance}}{\text{time}}$

We were given the distance between the two cities in miles, therefore we can directly apply it to the expression. Although the time was given in the hh:mm 12 h format and we need a diference in hours, so we will convert that as shown below:

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4 years ago

What is the sum of the arithmetic series of odd numbers below 1+3+5+...+27

AnnZ [28]

Answer:

196

Step-by-step explanation:

1+2+3+4+......+25+26+27 = (1+27) + (3+25) + (5+23)+(7+21) + (9+19) + (11+17) + (13+15)

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It's like area of trapezoid of bases: 1, 27 and height of 14

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3 years ago

Two angles are complementary. The smaller angle is 15° less than the larger angle. Find the measure of each angle.

nika2105 [10]

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3 years ago

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Akimi4 [234]

Answer:

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Step-by-step explanation:

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3 years ago