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Andreas93 [3]
1 year ago
9

Help! i will give brainliest!!!

Mathematics
1 answer:
melisa1 [442]1 year ago
8 0
I am assuming the angle is given in degrees.

Answer:

12.71

or in terms of Pi

182π / 45

Steps:
Formula for the arc length:
L = 2πr(θ/360)
We are given r and θ. Let’s solve for L.

L = 2* π * 8 * (92/360)

The answer is 12.71

or in terms of Pi
182π / 45
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42:28
gogolik [260]

Answer:

The statements about arcs and angles that are true in the figure are;

1) ∠EFD ≅ ∠EGD

2) \overline{ED}\cong \overline{FD}

3) mFD = 120°

Step-by-step explanation:

1) ∠ECD + ∠CEG + ∠CDG + ∠GDE = 360° (Sum of interior angle of a quadrilateral)

∠CEG = ∠CDG = 90° (Given)

∠GDE = 60° (Given)

∴ ∠ECD = 360° - (∠CEG + ∠CDG + ∠GDE)

∠ECD = 360° - (90° + 90° + 60°) = 120°

∠ECD = 2 × ∠EFD (Angle subtended is twice the angle subtended at the circumference)

120° = 2 × ∠EFD

∠EFD = 120°/2 = 60°

∠EFD ≅ ∠EGD

∠ECD = 120°

∠EGD = 60°

∴∠EGD ≠ ∠ECD

2) Given that arc mEF ≅ arc mFD

Therefore, ΔECF and ΔDCF are isosceles triangles having two sides (radii EC and CF in ΔECF and radii EF and CD in ΔDCF

∠ECF = mEF = mFD = ∠DCF (Given)

∴ ΔECF ≅ ΔDCF (Side Angle Side, SAS, rule of congruency)

\\ \overline{EF}\cong \overline{FD} (Corresponding Parts of Congruent Triangles are Congruent, CPCTC)

∠FED ≅ ∠FDE (base angles of isosceles triangle)

∠FED + ∠FDE + ∠EFD = 180° (sum of interior angles of a triangle)

∠FED + ∠FDE = 180° - ∠EFD = 180° - 60° = 120°

∠FED + ∠FDE = 120° = ∠FED + ∠FED (substitution)

2 × ∠FED  = 120°

∠FED = 120°/2 = 60° = ∠FDE

∴ ∠FED = ∠FDE = ∠EFD =  60°

ΔEFD  is an equilateral triangle as all interior angles are equal

\\ \overline{EF}\cong \overline{FD}\cong \overline{ED} (definition of equilateral triangle)

\overline{ED}\cong \overline{FD}

3) Having that ∠EFD = 60° and ∠CFE = ∠CFD (CPCTC)

Where, ∠EFD = ∠CFE + ∠CFD (Angle addition)

60° = ∠CFE + ∠CFD = ∠CFE + ∠CFE (substitution)

60° = 2 × ∠CFE

∠CFE =60°/2 = 30° = ∠CFD

\overline{CF}\cong \overline{CD} (radii of the same circle)

ΔFCD is an isosceles triangle (definition)

∠CFD ≅ ∠CDF (base angles of isosceles ΔFCD)

∠CFD + ∠CDF + ∠DCF = 180°

∠DCF = 180° - (∠CFD + ∠CDF) = 180° - (30° + 30°) = 120°

mFD = ∠DCF (definition)

mFD = 120°.

5 0
3 years ago
How many 1/2 cup servings are in<br> 3/4cups of yogurt? (in simplest fraction form)
attashe74 [19]

Answer:

3/2

Step-by-step explanation:

(3/4)/(1/2)=(3/4)(2/1)=6/4=3/2

4 0
3 years ago
Which of the following functions best describes this graph?
Luden [163]

Answer:

C

Step-by-step explanation:

We can use process of elimination

D is incorrect because the roots are 3 and -4 and there are no negative roots visible

B is wrong because the roots -3 and -6 are both negative

You can factor A into (x-2)(x-3) and the roots are 2 and 3 but the roots on the graph look closer to 3 and 6

For C it can be factored as (x-6)(x-3) so the roots are 3 and 6 which look accurate

8 0
2 years ago
Help asap please!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Ronch [10]

gggggg Step-by-step explanation:

rrrrrrrr

5 0
3 years ago
Will ran four miles on his first day of training.The next hint he ran one-third that distance.How far did he run the second day?
zhenek [66]
4 miles = 1 day

4miles divided by 1/3 distance on 2nd day = 1.33 miles ran on second day
4/1 x 1/3=4/3   4 divided by 3= 1.33 miles ran on the second day
If Will ran 1/3 of the distance that he ran on the first day (4 miles) the second day, he ran 1.33 miles
3 0
3 years ago
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