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Sidana [21]
3 years ago
11

Which of the following values is the solution to the equation -35x = -105 ? 3 -3

Mathematics
1 answer:
Nikolay [14]3 years ago
3 0

Answer:

3

Step-by-step explanation:

it will be 3 if you want to find the positive number

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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
2 years ago
Read 2 more answers
Butterfly: wingspan 20 cm silk butterfly: wingspan 4 cm​
MA_775_DIABLO [31]

Answer:

(silk butterfly numerator )(butterfly denominator) 4cm/20cm = 1cm/5cm

6 0
3 years ago
What is the variable and the operation in the algebraic expression math 6/x .
Stella [2.4K]

Answer:

x is the variable

Step-by-step explanation:

6 0
3 years ago
Please help on this one ?
Nastasia [14]

Answer:

C

Step-by-step explanation:

My notes are in the picture.

it is a graph of the function given.

5 0
3 years ago
How to find slope within two sets of points
EastWind [94]

The slope within two sets of points is calculated using the slope equation m = \frac{y_2 -y_1}{x_2 -x_1}

<h3>What is slope?</h3>

The slope of a line or points is the rate of change of the line.

This in other words means that, the vertical change per unit horizontal change

Assume that the points are given as:

(x1, y1) and (x2, y2)

The slope (m) of the points is:

m = \frac{y_2 -y_1}{x_2 -x_1}

Hence, the equation of two sets of points is m = \frac{y_2 -y_1}{x_2 -x_1}

Read more about slopes at:

brainly.com/question/1884491

#SPJ1

3 0
2 years ago
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