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BARSIC [14]
2 years ago
15

BRAINLIESTFind the value of x in each of the following exercises:

Mathematics
1 answer:
ohaa [14]2 years ago
5 0

The value of x is 120°

Explanation:

It is given that ABC is a straight line.

Also, ∠CBE = 20° and ∠CAF = 40°

We need to determine the value of ∠DBE

Let ∠DBE = x

Since, ∠CAF and ∠ABD are alternate interior angles.

By the alternate interior angles theorem, "if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are equal".

Thus, ∠CAF and ∠ABD are equal.

Hence, ∠CAF = ∠ABD = 40°

Since, we know that, the angles in a straight line add up to 180°, we have,

∠ABD + ∠DBE + ∠CBE = 180°

Substituting the values, we get,

40° + x + 20° = 180°

Adding, we have,

60° + x = 180°

Subtracting both sides by 60, we have,

x = 120°

Thus, the value of x is 120°

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Now we add the x and the 5x which is 6x, all we're doing is adding the x's.

Now we do add the two negative 10 and 7. So what is -10 + - 7 we add them normally but we'll still have the negative in front of them. So it's -17.

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What is the output of the function f(x) = x + 21 if the input is 4? When the input is 4, the output of f(x) = x + 21 is
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3 years ago
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Determine whether the formula describes y as a function of x. y = -3x2 - 7x - 6 Explain your reasoning
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6 0
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REY [17]

The true statement about the graph of the function f(x) = x3 - 2x2 + 4x – 8 is (B) The function has 1 real zero that occurs 1 time.

<h3>How to determine the true statement</h3>

The function of f(x) is represented as:

f(x)=x^3-2x^2+4x-8

Differentiate the function f(x)

f'(x)=3x^2-4x+4

Calculate the minimum value using:

x = -\frac b{2a}

So, we have:

x = -\frac {-4}{2*3}

x = \frac {2}{3}

Substitute 2/3 in f'(x)

f'(2/3)=3*(2/3)^2-4(2/3)+4

f'(2/3)=\frac 83

The value of f'(2/3) is greater than 0.

This means that the function f(x) has 1 real zero, and it occurs once at point (2,0)

Hence, the true statement is (b)

Read more about functions at:

brainly.com/question/13136492

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