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Misha Larkins
2 months ago
12

Circle F is congruent to circle J, and ∠EFD ≅ ∠GJH. Circles F and J are congruent. Line segments F E and F D are radii. A line c

onnects points E and D to form a triangle. Line segments J H and J G are radii. A line connects points H and G to form a triangle. Angles D F E and G J H are congruent. m∠DFE = 80°. What is the measure of arc Arc G H? °

Mathematics
2 answers:
Zina [12.3K]2 months ago
8 0

Answer:

The measure of arc GH is 80 degrees.mGH=80^\circ

Step-by-step explanation:

Circles F and J are congruent.

\angle DFE \cong \angle GJH

Given that: m∠DFE = 80°

Angle DFE serves as the central angle of circle F.

Arc GH's measurement corresponds with the central angle from Circle J.

Since the two circles are congruent

mGH=\angle DFE = 80^\circ

The measure of arc GH, therefore, is 80 degrees.

Zina [12.3K]2 months ago
4 0

Answer:

80

Step-by-step explanation:

Ed2020

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$6.48

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Initially calculate the 10% discount on $1.60, which results in $1.44. Then multiply $1.44 by 4.5 to find the total, yielding $6.48.

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3 months ago
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Which equation is equivalent to log Subscript x Baseline 36 = 2?
PIT_PIT [12445]

Answer:

x = 6

Step-by-step explanation:

The equation we need to solve is:

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We can change it to exponential form to determine the answer. Below we illustrate the formula to convert log to exponential form:

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Next, we convert the log into exponential:

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1 month ago
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A low-strength children’s/adult chewable aspirin tablet contains 81 mg of aspirin per tablet. How many tablets may be prepared f
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Answer:

From 1 kg of aspirin, a total of 12,345 tablets can be produced.

Step-by-step explanation:

This query mentions that low-strength chewable aspirin tablets for children and adults contain 81 mg of aspirin each, asking how many tablets can be made from 1 kg of aspirin.

Considering the weight of a tablet measured in kg, we start by converting 81 mg to kg.

Each kg equals 1,000,000 mg. Hence

1 kg - 1,000,000 mg

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x = \frac{81}{1,000,000}

Therefore, x = 0.000081 kg.

Each tablet essentially contains 0.000081 kg of aspirin. To find out how many tablets this yields from 1 kg of aspirin:

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How many solutions does the equation sin(5x) = 1/2 have on the interval (0, 2PI]
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Answer:

Step-by-step explanation:

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Dividing throughout by 5

θ = n•36 + (-1)ⁿ30/5

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The solution range is

0<θ<2π which means 0<θ<360

First solution

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θ = 36n + (-1)ⁿθ

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θ = 36n + (-1)ⁿ6

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θ = 36n + (-1)ⁿ6

θ = 36×2 + 6

θ = 78°

When n =3

θ = 36n + (-1)ⁿ6

θ = 36×3 - 6

θ = 102°

When n=4

θ = 36n + (-1)ⁿ6

θ = 36×4 + 6

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θ = 222°

When n = 7

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θ = 36×7 - 6

θ = 246°

When n =8

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θ = 36×8 + 6

θ = 294°

When n =9

θ = 36n + (-1)ⁿ6

θ = 36×9 - 6

θ = 318°

When n =10

θ = 36n + (-1)ⁿ6

θ = 36×10 + 6

θ = 366°

When n = 10 surpasses the θ range

Thus, the solutions range from n =0 to n=9

Therefore, there are 10 solutions within the interval 0<θ<2π

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Answer:

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