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2 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]2 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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Explain why f(x) = x^2+4x+3/x^2-x-2 is not continuous at x = -1.

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Answer:

The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)

Step-by-step explanation:

We have the following expression

$f(x) = \frac{x^2+4x+3}{x^2-x-2}$

Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.

Now we search that values of x make 0 the denominator factoring the polynomial $x^2-x-2$

We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.

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Then the factors are:

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We do the same with the numerator

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These numbers are 3 and 1

Then the factors are:

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Therefore

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Note that $\frac{(x+1)}{(x+1)}=1$ only if $x \neq -1$

So since $x = -1$ is not included in the domain the function has a discontinuity in $x = -1$

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3 years ago

I really need help please I will mark you as brainlist

Gelneren [198K]

15/2 = $7.5 per hour
7.5 times 5 = $37.50 earned in 5 hours

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