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Georgia [21]
3 years ago
6

Find the measure of G

Mathematics
1 answer:
Savatey [412]3 years ago
5 0

Step-by-step explanation:

  • We know that exterior angle of a triangle is equal to the sum of two opposite interior angle .So

<H + <G = <GFD

30° + 10x + 12° = 15x + 7 °

42° + 10x = 15x + 7°

42° - 7° = 15x -10x

5x = 35°

Therefore x = 7°

Now

<G = 10x + 12° = 10 * 7° + 12° = 70° + 12° = 82°

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F(x + 1) = 3x - 7<br> f(x) = ?<br> Cevabi kitabda=3x-10<br> Nasil yapmiş kitabda
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Answer:

<h2>f(x) = 3x + 4</h2>

Step-by-step explanation:

f(x + 1) = 3x - 7

f(x) = f(x + 1 - 1) = 3(x - 1) + 7 = 3x - 3 + 7 = 3x + 4

Check

f(x) = 3x + 4

f(x + 1) = 3(x + 1) + 4 = 3x + 3 + 4 = 3x + 7 CORRECT

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Can someone please help? A ferris wheel is drawn on a coordinate plane so that the first car is located at the point ​(0​,10​).
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Answer:

(10,0)

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A rectangle is placed around a semicircle as shown below. The length of the rectangle is 14mm. Find the area of the shaded regio
Damm [24]

Image is missing, so i have attached it

Answer:

21.07 mm²

Step-by-step explanation:

We will use the Formulas:

Area of semicircle = πr²/2

Area_rectangle = Length x width = Lw

We are given:

Length of rectangle = 14 mm

From the attached image, the diameter of the semicircle is equal to the length of the rectangle.

Thus;

diameter of semicircle = length of rectangle

Therefore,

diameter of semicircle = 14 mm

Also, from the attached image, the radius of the semicircle is equal to the width of the rectangle.

Thus;

diameter of semicircle/2 = radius of semicircle

Hence;

radius of semicircle = 14/2 = 7mm = width of rectangle

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Area of rectangle = L*w = 14 × 7 = 98 mm²

Area of semicircle = πr²/2 = π×7²/2 = 76.93 mm²

To get the area of the shaded region, we will subtract area of the semi-circle from the area of the rectangle.

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