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OleMash [197]
3 years ago
8

What does minimum or maximum value of the function mean

Mathematics
1 answer:
GarryVolchara [31]3 years ago
4 0
Minimum value . . . . . the smallest, or most negative, the fraction can ever get

Maximum value . . . . . the biggest the fraction can ever get
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Points E, F, and D are on circle C, and angle G measures 60°. The measure of arc EF equals the measure of arc FD.
galben [10]

Answer:

∠EFD ≅ ∠EGD ⇒ A

Arc ED ≅ arc FD ⇒ C

m arc FD = 120° ⇒ E

Step-by-step explanation:

Let us revise some facts

  1. Equal chords subtended equal arcs
  2. The measure of an inscribed angle is one-half the measure of the central angle which subtended by the same arc
  3. The measure of a central angle is equal to the measure of its subtended arc
  4. If one angle of an isosceles triangle measure 60° then the triangle is equilateral
  5. The sum of the measures of the interior angles of any quadrilateral is 360°

In the quadrilateral  CDGE

∵ m∠G = 60°

∵ m∠GDC = m∠GEC = 90°

- By using the 5th rule above

∴ m∠G + m∠GDC + m∠DCE + m∠GEC = 360°

∴ 60 + 90 + m∠DCE + 90 = 360

∴ 240 + m∠DCE = 360

- Subtract 240 from both sides

∵ m∠DCE = 120°

In circle C

∵ ∠DCE is a central angle subtended by arc DE

∵ ∠DFE is an inscribed angle subtended by arc DE

- By using the 2nd rule above

∴ m∠DFE = \frac{1}{2} m∠∠DCE

∵ m∠DCE = 120°

∴ m∠DFE = \frac{1}{2} (120)

∴ m∠DFE = 60°

- That means ∠EFD ≅ ∠EGD because their measure is 60°

∴ ∠EFD ≅ ∠EGD

In Δ EFD

∵ EF = FD

∵ m∠DFE = 60°

- By using the 4th rule above

∴ Δ EFD is an equilateral triangle

∴ ED = FD = FE

In circle C

∵ Side ED subtended by arc ED

∵ Side FD subtended by FD

∵ Side ED ≅ side FD ⇒ proved

- By using the 1st rule above

∴ Arc ED ≅ arc FD

∵ m∠ECD = 120°

∵ ∠ECD is a central angle subtended by arc ED

- By using the 3rd rule above

∴ m∠ECD = m arc ED

∴ m of arc ED = 120°

∵ Arc ED ≅ arc FD

∴ m arc ED = m arc FD

∴ m arc FD = 120°

5 0
3 years ago
Read 2 more answers
Find the value of each variables in the parallelogram
Ksju [112]

Answer:

C = 6

D = 10

Step-by-step explanation:

C + 5 = 11

C + 5 -5 = 11 -5

C = 6

D + 4 = 14

D + 4 -4 = 14 -4

D = 10

4 0
3 years ago
Some critters got into the oatmeal. They ate 3 packages of Mike's, 2 of Chads, and 6 of Matt's. Toni lost half as much as the ot
Reptile [31]

I think the critters ate 5 1/2 packages of Toni’s oatmeal.

If he ate half as much as the others you should total up the others and divide it by 2.

3 + 2 + 6 = 11 11 divided by 2 = 5 1/2

I hope you find this helpful.

3 0
3 years ago
Read 2 more answers
What is the greatest common factor of the three terms?<br><br> 36h, 12h6, 48h5
Helen [10]

Answer:

<h2>12h</h2>

Step-by-step explanation:

each term has h^1

each term's coefficient is divisible by 12

12h( 3, h^5, 4h^4)

<h2>So, the GCF is 12h </h2>
4 0
3 years ago
Solve this quadratic inequalitie with detailed full explanation
ANTONII [103]

x^2\leq16\\x\leq 4 \wedge x\geq -4\\x\in\langle-4,4\rangle

different approach:

x^2\leq16\\x^2-16\leq0\\(x-4)(x+4)\leq0

see attachment

x\in\langle-4,4\rangle

7 0
2 years ago
Read 2 more answers
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