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Jobisdone [24]
2 years ago
12

How to find the measure of angle FGC If segments AC and BD are parallel and they are cut by the transversal FE

Mathematics
1 answer:
Kitty [74]2 years ago
6 0
Angles FGC and FHD are equal by the Corresponding Angles Theorem.

Make them equal to each other in an equation.
3x - 9 = 2x + 1
Add 9 to both sides.

3x = 2x + 10
Subtract 2x from both sides.

x = 10

Plug in 10 for x in the expression for angle FGC, 3x - 9.
3(10) - 9
30 - 9 = 21

∠FGC = 21°.
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Simplify (2/5÷3/8)÷(-3/5)
liberstina [14]

Answer:

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Step-by-step explanation:

( \frac{2}{5}  \div  \frac{3}{8} ) \div ( -  \frac{3}{5} ) \\ (\frac{2}{5}  \times  \frac{8}{3} ) \times ( -  \frac{5}{3} ) \\  \frac{16}{15}  \times  -  \frac{5}{3}  \\ -   \frac{80}{45}

As the answer can be more simplified, divide both numerator and denominator by 5.

-  \frac{16}{9}  =   - 1 \frac{7}{9}

3 0
1 year ago
Find the area of the shaded region of the circle. Round to the nearest hundredth.
Vanyuwa [196]

Answer:Area of shaded region is 454.97

Step-by-step explanation:

The formula for determining the area of a circle is expressed as

Area of circle = πr^2

Where

r represents the radius of the circle.

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From the information given,

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Area of the circle = 3.14 × 14^2 = 615.44

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Area of a sector is expressed as

Area = #/360 × πr^2

Where

# = 94 = central angle

Area of sector = 94/360 × 3.14 × 14

= 160.68

Area of shaded region would be

615.44 - 160.68

= 454.97

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Answer:

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