Tell whether the angles are complementary or supplementary. Then find the value of x.

Mathematics

2 answers:

gladu [14]3 years ago

8 0

Answer:

7) x = 5
8) x = 20

Step-by-step explanation:

Complementary angles form a right angle and supplementary angles form a straight angle.

Complementary:

65 + 5x = 90
5x = 25
x = 5

Supplementary:

2x + 6x + 20 = 180
8x = 160
x = 20

Tomtit [17]3 years ago

6 0

Step-by-step explanation:

Since we know that sum of two complementary angles are 90⁰

=> 65 + 5x = 90

=> 5x = 90 - 65

=> 5x = 35

=> x = 35/5

=> x = 7⁰

Since we know that sum of two supplementary angle are 180

=> 2x + 6x + 20 = 180

=> 8x = 180 - 20

=> 8x = 160

=> x = 160/8

=> x = 20

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f(x) = x(x + 2) + 2(x + 2) - 25
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f(x) = x² + 2x + 2x + 4 - 25
f(x) = x² + 4x + 4 - 25
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x = -(4) +/- √((4)² - 4(1)(-21))
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x = -4 +/- √(16 + 84)
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x = -4 +/- √(100)
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x = -4 +/- 10
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x = -2 + 5
x = -2 + 5 x = -2 - 5
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or
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Vertex
X - Intercept
-b/2a = -(4)/2(1) = -4/2 = -2

Y - Intercept
y = x² + 4x - 21
y = (-2)² + 4(-2) - 21
y = 4 - 8 - 21
y = -4 - 21
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(x, y) = (-2, -25)

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postnew [5]

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Step-by-step explanation:

For this exercuse you need to analize the information provided. You know that:

1) The height of the replica of the Empire State Building with its antenna spire in Las Vegas is 485 feet.

2) The height of the real Empire State building is 1,454 feet.

Finally, in order to find the ratio of height of the replica to the height of the real Empire State building, its necessary to divide the height of the replica of the Empire State Building by the height of the real Empire State building.

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