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Ivenika [448]
2 years ago
7

Solve for x. x = ___°

Mathematics
1 answer:
irina [24]2 years ago
6 0

x = 109

this is pentagon

the sum of the interior angles of a polygon is

sum = 180°( n - 2) where n is the number of sides.

sum = 180° × 3 = 540° thus

x + 121+ 108 + 102 + 100 = 540

x + 431 = 540

subtract 431 from both sides

x = 540 - 431 = 109



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Shifts:

Shifted three units right and two units up to match the blue parabola

Stretches:

It doesn't have any stretches

Symmetry:

x=3

x and y intercepts:

x intercpets: It has no x-intercepts

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<h2>Explanation:</h2>

The pattern of the quadratic function is:

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So here we need to identify some characteristics of:

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Whose graph is shown below as the blue parabola.

As you can see, the blue parabola is a transformation of the red parabola. The rule is as follows:

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This is so because, for any function:

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We have the following transformations:

y=h(x)=f(x+c)+k \\ \\ \\ \bullet \ c>0 \ Shift \ f(x) \ c \ units \ to \ the \ left \\ \\ \bullet \ c0 \ Shift \ f(x) \ k \ units \ up \\ \\ \bullet \ k

On the other hand, the blue graph has neither stretches nor x intercepts. Finally, its axes of symmetry is x=3. The y-intercept is (0, 11) is indicated in the figure.

<h2>Learn more:</h2>

Shifting graphs: brainly.com/question/10010217

#LearnWithBrainly

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