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3 years ago

Geometry please help!

Mathematics

1 answer:

ikadub [295]3 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

The sum of the interior angles of a polygon is

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

The polygon here has 8 sides, that is n = 8, thus

sum = 180° × 6 = 1080°

Sum the given angles and equate to 1080, that is

14x + 133 + 167 + 138 + 18x + 115 + 151 + 120 = 1080

32x + 824 = 1080 ( subtract 824 from both sides )

32x = 256 ( divide both sides by 32 )

x = 8

Thus the 2 unknown angles are

14x = 14 × 8 = 112°

18x = 18 × 8 = 144°

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aliina [53]

Answer:

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3 years ago

The coordinates of the turning point of the parabola whose equation is y = x2 — 6x + 8 are A. (3, 35) C. (-3, 35) B. (-3, —1) D.

quester [9]

Answer:

D. (3. —1)

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

$f(x) = ax^{2} + bx + c$

It's vertex is the point $(x_{v}, y_{v})$

In which

$x_{v} = -\frac{b}{2a}$

$y_{v} = -\frac{\Delta}{4a}$

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If a<0, the vertex is a maximum point, that is, the maximum value happens at $x_{v}$ , and it's value is $y_{v}$ .

Turning point of a quadratic function:

The turning point of a quadratic function is the vertex.

y = x2 — 6x + 8

This means that $a = 1, b = -6, c = 8$

Now, we find the vertex.

$x_{v} = -\frac{b}{2a} = -\frac{-6}{2(1)} = 3$

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6 0

3 years ago

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Charra [1.4K]

Answer:

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Step-by-step explanation:

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3 years ago

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4 years ago

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4 years ago