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klasskru [66]
3 years ago
11

The equation x+(75.3−x)=75.3 represents the sum of two angles. How many possible combinations of angle measures satisfy these co

nditions? Please Help!!
Mathematics
1 answer:
VARVARA [1.3K]3 years ago
3 0

Answer:

smaller angle = x

larger angle = 3x + 8

x + 3x + 8 = 180

4x + 8 = 180

4x = 172

x = 43

The smaller angle measures 43 degrees.

The larger angle measures 137 degrees.

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Kryger [21]

Answer:

41\text{ [units squared]}

Step-by-step explanation:

The octagon is irregular, meaning not all sides have equal length. However, we can break it up into other shapes to find the area.

The octagon shown in the figure is a composite figure as it's composed of other shapes. In the octagon, let's break it up into:

  • 4 triangles (corners)
  • 3 rectangles (one in the middle, two on top after you remove triangles)

<u>Formulas</u>:

  • Area of rectangle with length l and width w: A=lw
  • Area of triangle with base b and height h: A=\frac{1}{2}bh

<u>Area of triangles</u>:

All four triangles we broke the octagon into are congruent. Each has a base of 2 and a height of 2.

Thus, the total area of one is A=\frac{1}{2}\cdot 2\cdot 2=2\text{ square units}

The area of all four is then 2\cdot 4=8 units squared.

<u>Area of rectangles</u>:

The two smaller rectangles are also congruent. Each has a length of 3 and a width of 2. Therefore, each of them have an area of 3\cdot 2=6 units squared, and the both of them have a total area of 6\cdot 2=12 units squared.

The last rectangle has a width of 7 and a height of 3 for a total area of 7\cdot 3=21 units squared.

Therefore, the area of the entire octagon is 8+12+21=\boxed{41\text{ [units squared]}}

4 0
3 years ago
Finding Derivatives Implicity In Exercise, find dy/dx implicity.<br> ln xy + 5x = 30
Sphinxa [80]

Answer:

dy/dx = -5y - y/x

Step-by-step explanation:

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Differentiating xy implicitly

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Differentiating In u = 1/u = 1/xy

Differentiating 5x = 5 and differentiating a constant (30) = 0

1/xy(y + xdy/dx) + 5 = 0

(y + xdy/dx)/xy = -5

(y + xdy/dx) = -5xy

xdy/dx = -5xy - y

dy/dx = = (-5xy - y)/x

dy/dx = -5y - y/x

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Step-by-step explanation:

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2 years ago
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Scilla [17]

Answer:

First step

Step-by-step explanation:

Subtract the 4 to the other side making the equation

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Step-by-step explanation:

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