Quadrilateral CDEF is inscribed in circle A. Which statements complete the proof to show that ∠CFE and ∠CDE are supplementary?


Quadrilateral CDEF is inscribed in circle A, so mARC CDE + mARC CFE= 360°. ∠CFE and ∠CDE are inscribed angles, which means that their measures are _________________. So, _________________. Using the substitution property of equality, 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°. Using the division property of equality, divide both sides of the equation by 2, resulting in m∠CFE + m∠CDE = 180°. Therefore, ∠CFE and ∠CDE are supplementary.

Answers

Answer 1

Answer:

The statements that complete the proofs are;

First statement

One half the measure of their intercepted arcs

Second statement

mARC CDE = 2·m∠CFE and mARC CFE = 2·m∠CDE

Step-by-step explanation:

The two column proof that ∠CFE and ∠CDE are supplementary is presented as follows;

Statement  [tex]{}[/tex]                                                            Reason

Quadrilateral CDEF is inscribed is circle A  [tex]{}[/tex]       Given

[tex]m\widehat{CDE}[/tex] + [tex]m\widehat{CFE}[/tex] = 360°  [tex]{}[/tex]                                 Measure of angle round a circle

∠CFE and ∠CDE are inscribed angles   [tex]{}[/tex]             Given

∠CFE  + ∠CDE = 1/2 × ([tex]m\widehat{CDE}[/tex] + [tex]m\widehat{CFE}[/tex])  [tex]{}[/tex]   Inscribed angles are (i) one half the measure of their intercepted arcs

2 × (∠CFE  + ∠CDE) = ([tex]m\widehat{CDE}[/tex] + [tex]m\widehat{CFE}[/tex])

So, (ii) [tex]m\widehat{CDE}[/tex] = 2 × m∠CFE and [tex]m\widehat{CFE}[/tex] = 2 × m∠CDE From the inscribed angle theorem above (See attached drawing)

2·m∠CFE + 2·m∠CDE = 360°  [tex]{}[/tex]    Using substitution property of equality

(2·m∠CFE + 2·m∠CDE)/2 = 360°/2 → m∠CFE + m∠CDE) = 180° [tex]{}[/tex]                Dividing both sides by 2

m∠CFE and m∠CDE) are supplementary  [tex]{}[/tex]  Angles that sum up to 180°

The statements that complete the proofs are;

(i) One half the measure of their intercepted arcs

(ii) mARC CDE = 2·m∠CFE and mARC CFE = 2·m∠CDE

Quadrilateral CDEF Is Inscribed In Circle A. Which Statements Complete The Proof To Show That CFE And
Answer 2

Answer:

1/2 the measure of their intercepted arcs; m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2 ⋅ m∠CDE (or C).

Step-by-step explanation:

I just took the test and got this right :)


Related Questions

the perimeter of a rectangle parking lot is 322 m. if the length of the parking lot is 86 m, what is the width

Answers

Perimeter of rec. = 2 ( l + w )

Given: perimeter of rectangle = 322m, length = 86m

Required: width = ?

Solution: 322 = 2 ( 86 + w )
Divide 322 by 2 ie, 322/2 = 86 + w
Will be equal to 161 = 86 + w
Therefore Width= 161 - 86 = 75

Your living room is carpeted but you have allergies, and need to cover the 9 points floor with hardwood panel flooring. The panel flooring at Lowes cost $3.19 per square foot. (scale: 1m = 3.28 ft) Hint: Each unit contains 32.29 square feet. How much will it cost to purchase the flooring panels? (round to the nearest cent)



HELPPPPPPPP​

Answers

Answer:

$103

Step-by-step explanation:

Your living room is carpeted but you have allergies, and need to cover the 9 points floor with hardwood panel flooring. The panel flooring at Lowes cost $3.19 per square foot. (scale: 1m = 3.28 ft) Hint: Each unit contains 32.29 square feet. How much will it cost to purchase the flooring panels? (round to the nearest cent)

From the above question:

1 square foot = $3.19

32.29 square feet = x

Cross Mulitiply

x = 32.29 × $3.19

x = $103.0051

Approximately to the nearest cent = $103

Therefore, it will cost $103 to purchase the flooring panels

Solve 22 = - 3d + 1. Show your steps.

Answers

22 - 1 = -3d
21= -3d
21/-3= d
-7 = d

Bring the 1 to the other side by doing the opposite sign, so subtract 1. Solve the left side.

Bring the 3 to the other side by doing the opposite sign, so divide 21 by -3.

End with D equaling -7

Answer and Step-by-step explanation:

Solve for D.

Subtract 1 from both sides of the equation.

22 - 1 = -3d + 1 - 1

21 = -3d

Divide both sides by -3.

21 ÷ -3 = -3d ÷ -3

-7 = d

d is equal to -7.

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42÷(13×6×7)=
I need help

Answers

Answer:

The answer is 1/13

Step-by-step explanation:

42÷(13×6×7)

= 42÷546

= 1/13

Answer: 7.7
Or 7.7 -2 x10 in other terms.

In the diagram below, what is the measure of angle 1?

Answers

Answer: 82 degrees

Step-by-step explanation:

15 degrees is the answer to this question

"The product of four and a
number is more than ten."

Answers

Answer:

x>5/2

Step-by-step explanation:

4x>10

x>10/4

x>5/2

Help please?!?!??!?!!!?!?!?!?!?!?!?!!?!?!?

Answers

Answer:

16.7%

Step-by-step explanation:

Probability is defined by the formula: the number of desirable outcomes over the total outcomes. The total number of outcomes is the sum of all shoes that he could possibly pick:

5 + 7 + 1 + 4 + 6 + 8 + 2 + 3 = 36

And the desirable outcomes are those where he picks brown boots, which is 6 outcomes.

Using the formula for probability, we get the expression: 6/36 to represent the probability. It simplifies to 1/6 which is about 16.7%

Angles equation for geometry.

Answers

Answer:

40 degrees

Step-by-step explanation:

Since we have the diameter included in the triangle, the angle at B is 90

This is because angle at center is two times the angle at the circumference

Since we have the diameter, the angle at the center will be 180 degrees so the angle A at the circumference will be 90 degrees

Now, let us use the measure of the arc given

The angle at C is half of 100 which makes it 50

This is according to an angle arc relationship

Lastly, the sum of angles in a triangle is 180 degrees

We already have two angles and we need the last

so we have to add what we have already and subtract from 180 to get the angle we are looking for

So we have the angle as 180-(90 + 50) = 180 -140 = 40

There are 8 blue marbles, 3 red marbles, and 4 yellow marbles in a bag. What is the probability of selecting a purple marble on the first draw?

Answers

Answer:

0

Step-by-step explanation:

there is only blue marbles, yellow marbles, and red marbles. there are no purple marbles so you’d be unable to pull out a purple one no matter how many times you tried. so the probability would be 0

The probability of drawing A purple marble would be 0

The reason for the is because there are only blue, red and yellow marbles in the bag. There are no purple marbles.

what is the value of x

Answers

Answer:

8

Step-by-step explanation:

Lines have angles that are equal to 180. Therefore, because we already have 140 of the 180 necessary, we can subtract 140 from 180 to get 40. 40 divided by 5 is 8.

Hope that this helps!

Answer:

I. x=8

Step-by-step explanation:

lines form 180° angles so

140 +5x= 180 ; subtract 140 from both sides

5x= 180-140; divide both sides by 5

x= 40/5 = 8

A spherical boulder is 12 ft in diameter and weighs almost 8 tons. Find the volume. Use 3.14 for pi.

Answers

Answer:

904.32 ft^3

Step-by-step explanation:

Volume of a sphere = 4/3 x pi x r^3

r = 12/2 = 6

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

4/3 x 3.14 x 6^3 = 904.32 ft^3

Why to solve this question ​

Answers

Answer:

35°, 70°, 75°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

x + 2x + 75 = 180

3x + 75 = 180 ( subtract 75 from both sides )

3x = 105 ( divide both sides by 3 )

x = 35

2x = 2 × 35 = 70°

The angles in the Δ are 35°, 70°, 75°

The three angles of the triangle are 75°, 70° and 35°.

Step-by-step explanation:

We know that,

Sum of angles of a triangle = 180°

⇢ 75° + 2 x + x = 180°

⇢ 3x = 180° - 75°

⇢ 3x = 105°

⇢ x = [tex] \frac{105}{3} [/tex]

⇢ x = 35°

[tex]{\boxed{\mathcal{\red{Brainly\:Star.}}}}[/tex]

4+4x+x^2 = y Given x = 2

Answers

Answer:

16

Step-by-step explanation:

4 + (4 * 2) + [tex]2^{2}[/tex] = y

16 = y

Answer:

x=2,y=16

Step-by-step explanation:

4+4(2)+2^2=y      Put the x value where it belongs

4+8+2^2=y             Now do 2*2 (two to the power of two)

4+8+4=16

16=16

Decide if the following statement is valid or
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If you live in Miami, then you live in Florida.
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Valid
Invalid

Answers

Answer:

Invalid

Step-by-step explanation:

Answer:

Invalid

Step-by-step explanation:

You can live in Florida outside of Miami.

pls help me with this

Answers

Answer:

D at 8.8

im not sure brainliest please ok

Answer:

The answer is C at 8.1.

Step-by-step explanation:

To find [tex]\sqrt{66}[/tex], start by finding the two consecutive perfect squares that 66 lies between them. The two perfect squares are 64 ([tex]8^{2}[/tex]) and 81 ([tex]9^{2}[/tex]). So, the whole number part of the square root of 66 will be 8.

Now, for the decimal part, use the following formula:

(Given number - Smaller perfect square) / (Greater perfect square - Smaller perfect square)

Then, put in the known information, which will look like:

(66 - 64)/(81 - 64) = 2/17 = 0.117

Finally, [tex]\sqrt{66}[/tex] is 8.117, so the answer is C at 8.1.

Carly buys 3 more band concert tickets than choir concert tickets. Band concert tickets cost $3.50 per ticket. What is the cost for the choir concert and band concert tickets?

Answers

Answer:

I'm not to sure, but I'll say 10.5

If you multiply 3.50 x 3 you'll get 10.5

If you add you'll get 13.5.

If it's an addition I'll recommend to go with 13.5

If it's a multiplication  I'll recommend to go with 10.5

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Answers

Answer:

4 in 5 days

Step-by-step explanation:

An explicit formula to represent the geometric sequence with a first term of 10 and a common ratio of 3.

Answers

Answer:

an = 10(3^n-1)

Step-by-step explanation:

The explicit formula of a geometric sequence is written as:

an = ar^n - 1

Where

an = nth term

a = First term

r = common ratio

n = number of terms

Hence, an explicit formula to represent the geometric sequence with a first term of 10 and a common ratio of 3 is written as:

an = 10 × 3^n-1

an = 10(3^n-1)

156 divided by 3 with remaining

Answers

Answer: 52

Step-by-step explanation:

Divide 156 by 3, you get 52 with a remainder of 0.

In long division, you would write it as:

To perform the division, start by dividing 3 into the first digit of 156, which is 1.

  3 ) 156 ( 52

     - 15

   _______

          6

         -6

     _______

           0

3 cannot go into 1, so you move to the next digit, 15. 3 can go into 15 five times (3 * 5 = 15). After subtracting 15 from 15, you have 0.

Now, you bring down the last digit, 6, to form 6. Since 3 can go into 6 two times (3 * 2 = 6), the final quotient is 52, and the remainder is 0.

In summary, 156 divided by 3 is equal to 52, with no remaining or fractional parts.

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FBISD bought 12 new chairs for $28.99 each, and 8 tables for $45.50 each. What is the total price, including 8.25% sales tax.

A)$772.39
B)$711.88
C)$347.88
D)$60.51
Please hurryyyyy please

Answers

Answer:

d

Step-by-step explanation:

The low temperatures in a town for eight consecutive days, in degrees Fahrenheit, are
-2, -5, 10, 6, -3, 5, 3, -2. Find the median.

Answers

Answer:

The Median is 0.5

Step-by-step explanation:

Fill in the table using this function rule. y=6x + 5​

Answers

Answer:

11, 17, 29, 65

Step-by-step explanation:

Rrplace x with values on the x colon

Answer:

Column 1 (When x = 1): y = 11

Colum 2(When x = 2): y = 17

Column 3(When x = 4): y = 29

Colum 4(When x= 10): y = 65

Step-by-step explanation:

When x = 1; y = 6(1) + 5

              => y = 6 + 5

             => y = 11

When x = 2; y = 6(2) + 5

               => y = 12 + 5

              => y = 17

When x = 4;  y =  6(4) + 5

                => y = 24 + 5

                => y = 29

When x = 10; y = 6(10) + 5

                => y = 60 + 5

                => y = 65

Hope this helps!

PLS HELP!! GIVING BRAINLIEST!! :((

Ian Uses The Rule Add 1/2 Then Multiply By 2 Starting From 0

Answers

Answer:

1 3 7 15 31

Step-by-step explanation:

i used a calculator.       Calculator Soup® is a good website for calculating stuff

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Answers

--4 cot (--45)

cos (390)

sin (330)

Question 7 of 10
These box plots show daily low temperatures for a sample of days in two
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Degrees (F)
Which statement is the most appropriate comparison of the spreads?

Answers

Answer:

A

Step-by-step explanation:

In a box plot, interquartile range (IQR) can be used to describe the spread of any given data.

IQR = Q3 - Q1

✔️IQR for Town A:

Q3 = 40

Q1 = 20

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✔️IQR for Town B:

Q3 = 30

Q1 = 20

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We can conclude that the IQR for town A, 20°, is greater than the IQR for town B, 10°.

Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 24
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for Mother's Day?

Answers

Answer:

120

Step-by-step explanation:

20 * 5 = 100 so we multiply 24 by 5 and that equals 120

1000 + 874 + 53528 - 1026 =

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Answer:

54376

is the answer .......

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Answers

Answer:

3rd one

Step-by-step explanation:

The correct graph which shows the line that best fits the data points given is shown in Option 3.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

To find correct graph which shows the line that best fits the data points.

Now, We know that;

The correct graph of line for the data points is contain almost every points.

Hence, We get;

The correct graph which shows the line that best fits the data points given is shown in Option 3.

Thus, The correct graph which shows the line that best fits the data points given is shown in Option 3.

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f(x) = x2
g(x) = 3x2
Which option could show the graphs of f and g?

Answers

Answer:

2 Transformations

Step-by-step explanation:

A reflection in the x axis accounts for the minus sign and because there's a 3 there, it is a stretch in the y direction scale factor 3. hope this helps :)

A jar contains 2 orange, 4 green, 2 white and 2 black balls. What is the probability of drawing an orange ball without putting it back, then drawing a black ball? (write your answer as a simplified fraction)

Answers

Answer:

2/45

Step-by-step explanation:

We are told that:

A jar contains 2 orange, 4 green, 2 white and 2 black balls.

The total number of balls in the jar is calculated as:

2 orange balls + 4 green balls + 2 white balls + 2 black balls = 10 balls

The probability of drawing an orange ball = P(Orange) = 2/10

The probability of drawing a black ball = P(Black) = 2/10

Therefore, the probability of drawing an orange ball without putting it back, then drawing a black ball is calculated as:

2/10 × 2/9 = 4/90

= 2/45

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