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.

Quadrilateral CDEF is inscribed in circle A, so m arc CDE+ m arc CFE= 360°. ∠CFE and ∠CDE are _________________, which means that their measures are one half the measure of their intercepted arcs. So, m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2 ⋅ m∠CDE. Using the _________________, 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.

inscribed angles; substitution property of equality
central angles; substitution property of equality
inscribed angles; addition property of equality
central angles; addition property of equality

Answers

Answer 1

Answer:

Inscribed angles, substitution property of equality

Step-by-step explanation:

We know it cant be Central angles because its a quadrilateral so that's 2 answers out. Then you have to substitute each value to end up with 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°, it doesnt make sense to add to both sides so the answer is Inscribed angles and substitution property of equality.

Plus i took the test and its right.

Answer 2

Angles to be proven as supplementary angles are known as inscribed

angles, and they are used as the substitute to known angles.

Response:

Inscribed angles;  substitution property of equality

Which method can be used to determine the correct option to complete the statement?

The given information are;

Quadrilateral CDEF is inscribed in circle A

The completed statement is presented as follows;

Quadrilateral CDEF is inscribed in circle A, so [tex]m \widehat{CDE}[/tex] + [tex]m \widehat{CFE}[/tex] = 360°, ∠CFE and ∠CDE are inscribed angles, which means that their measures are [tex]\dfrac{1}{2}[/tex] the measures of the intercepted arcs. So  [tex]m \widehat{CDE}[/tex] = 2·m∠CFE and [tex]m \widehat{CFE}[/tex] = 2·m∠CDE. 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

The correct option is therefore;

inscribed angles;  substitution property of equality

Inscribed angles are angles formed by the intersection of two chords of

a circle.

The substitution property of equality states that variables that are

equal can be substituted by each other in any equation with both sides

of the the equation remaining equal.

Learn more about inscribed geometric figures of a circle here:

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Related Questions

Derive x and y values from given equations solve for x and y. 6x-2y=8 -6x+5y=7

Answers

Answer:

6x -2y = 8

-6x+5y = 7

3y = 15

y = 5

6x - 2(5) = 8

6x - 10 = 8

6x = 18

x = 3

(3, 5)

Step-by-step explanation:

The function f(x) and g(x) are graphed below. If g(x)=f(x+k) what is the value of k?

Answers

Answer:

The value of k = -6

Step-by-step explanation:

First lets concentrate at the most obvious point, the top. Top(f) = ( 4, 1) and Top(g) = ( -2, 1).

The translation factor k ( which is called a vector ), which accounts for the trandlation of any point of f(x) --> g(x).

To translate the x coordinate of the top from 4 to -2, you have to subtract 6 of it.

Because 4 -6 = -2

Hence the factor k must be -6.

The value of k = -6

plzWegnerkolmp2741ohelpmethakyou

Answers

Answer:

z=2

Step-by-step explanation:

z^2 - 4z+4 =0

Factor recognizing

a^2 - 2ab - b^2 = (a-b)^2

(z-2)^2 =0

Using  the zero product property

z-2 = 0

z=2

pays $0.72\$0.72 $0.72 dollar sign, 0, point, 72 in sales tax. The sales tax rate is 6%6\% 6% 6, percent . What is the original price of the bracelet, before tax?

Answers

Complete Question

Casey buys a bracelet. She pays for the bracelet and pays $0.72 in sales tax. The sales tax rate is 6%. What is the original price of the bracelet, before tax?

Answer:

$12

Step-by-step explanation:

Let the original price of the bracelet before tax =x

Tax rate =6%

That means:

6% of x =$0.72

0.06x=0.72

Divide both sides by 0.06

x=$12

The original price of the bracelet, before tax is $12.

Sammy has 2 pair of jeans, 3 pair of black pants, and 1 skirt. She also has 2 pink shirts, 4 striped shirts, and 2 hooded sweatshirts. How many different outfits can Sammy make?

Answers

Answer: 72

Step-by-step explanation:

Ok, in her legs the options are:

2 jeans + 3 black pants + 1 skirt = 6 options.

on her torso the options are:

2 pinks shirts + 4 striped shirts = 6 options.

And on top of that she has:

2 hooded sweatshirts = 2 options.

The total number of combinations is equal to the product of options for each type of garmet; this is:

C = 6*6*2 =36*2 = 72

So she has 72 different outfits.

Answer:

It is 70 becouse of how many clothing ther is and u just mulytly

it tell me if im right or wrong

thanks stay safe

byebye

Step-by-step explanation:

Siobhan has two babysitting job offers for the same weekend.The snachez family would like her to babysit from Friday at 6:00 pm through Saturday at 9:30 am.They will pay her $150.The martins would like her to babysit friday night from 5:00 pm to 11:00 pm and will pay her $15 per hour.Wich family is offering to pay her more per hour?Wich is offering to pay her more overall?

Answers

Answer:

The Martin family pays $5.33 more per hour

The Sanchez family pays $60 more in total

Step-by-step explanation:

The Sanchez family want her to babysit for 15.5 hours for a total of $150.

To find out the hourly rate you do $150/15.5 which is $9.67 per hour.

The Martin family wants her to babysit for a total of 6 hours for $15 an hour.

To find out the total you do $15 x 6 which is $90.

Does anybody know how to solve this? (Click for full picture if it doesn’t show up)

Answers

Step-by-step explanation:

angle A = 38

now come with me inside the triangle ABC

use two property of isoceles traingle and sum of angles of triangle

you get x= 71°

Answer:

x = 71°

Step-by-step explanation:

Notice that angle D is the inscribed angle of arc BC. By definition of inscribed angles, the measure of an arc's inscribed angle is half the measure of the arc. Also we see that angle A is the central angle of arc BC. By definition, the central angle measure is equal to the arc measure.

Here, ∠D = 19, which means arc BC = 19 * 2 = 38°. Then, that means ∠A = 38.

Notice that ABC forms a triangle and remember that all the angles of a triangle add up to 180°. Since ΔABC is isosceles, we know that the base angles are congruent, so let's say they're both x. Since ∠A = 38°, ∠B = ∠C = x, we can add them up to get 180:

∠A + ∠B + ∠C = 180

38 + x + x = 180

38 + 2x = 180

2x = 142

x = 142/2 = 71

Thus, x = 71°.

1.The two angles 21 degrees and (2x+29)degrees are SUPPLEMENTARY ANGLES. Solve for x. SHOW YOUR WORK.
And 2.The two angles (x-36)degrees and 73 degrees SUPPLEMENTARY ANGLES. Solve for x. SHOW YOUR WORK.

PLZZ ANSWER RIGHT AWAY. I'M GIVING 15 POINTS PLZZ HURRY.

Answers

Answer:

See below in bold.

Step-by-step explanation:

1.  21 + 2x + 29 = 180         (as supplementary angles sum to 180 degrees).

2x + 50 = 180

2x = 130

x = 65 degrees.

2. x - 36 + 73 = 180

x = 180 + 36 - 73

x = 143 degrees.

70 % of 90 please give all right answers this is the last question of this assignment and i dont want to fail

Answers

70% of 90=

10%= 90 divided by 10= 9

9*7=63

what is the slope of the line below? If necessary, enter your answer as a fraction in lowest terms, using the slash as the fraction bar. Do not enter your answer as a decimal number or an equation. (3, 9) (1, 1)​

Answers

Answer:

The slope of the graph is equal to 4

Step-by-step explanation:

When you do y2-y1 divided by x2-x1 you get the fraction 8/2 however when simplified you get 4, 8/2=4

Answer:

The slope is 4

Step-by-step explanation:

Why? Because the point (3,9) is labeled as x1 and y1 and the point (1,1) is labeled as x2 and y2, which means that the equation is set up as 1-9 / 1-3, which equals -8 / -2 , which turns out to be 4 when it is simplified. :)

Help me with my assignment if u are brilliant

Answers

Answer:

0° and 90°

Step-by-step explanation:

Bearing is simply the angle, clockwise, between the north direction and any other direction;

In the first image (on the left) B is exactly in the north direction as compared to A so the bearing is 0°;

In the other image, B is to the right of A, which is a clockwise rotation of 90° from the north direction.

There is a 20% chance of rain on Tuesday and a 30% chance of rain on Friday. What percent chance will it rain both Tuesday and Friday?

Answers

Answer:

There is a 40% chance that it will rain Tuesday and Friday.

Step-by-step explanation:

This is a good way to check you've done it correctly. Rains on Tuesday + doesn't rain on Friday: 40%⋅50%=20%

Answer:

60 percent chance

Step-by-step explanation:

First you multiply the two together. Then move the decimal to get a percent! HOpe this helps

Which can be used to describe an equivalent expression for (s Superscript 6 Baseline) Superscript negative 3? Adding the exponents will create an equivalent expression. Dividing the exponents will create an equivalent expression. There are three factors of StartFraction 1 Over s Superscript 6 Baseline EndFraction. There are three factors of StartFraction 1 Over s Superscript 3 Baseline EndFraction.

Answers

Answer:

D

Step-by-step explanation:

i took the test

The equivalent expressions of [tex](x^{6} )^{-3}[/tex] will be [tex](x )^{-18}[/tex].

What are equivalent expressions?

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive the equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

The given expression is;

[tex](x^{6} )^{-3}[/tex]

Required to Determine the equivalent expression.

First, we need to evaluate the expression in the bracket:

Apply the following law of indices:

[tex](x^a)^b = x ^{ab}[/tex]

So:

[tex](x^{6} )^{-3}[/tex]

becomes

[tex](x )^{6 \times -3}\\\\[/tex]

[tex](x )^{-18}[/tex]

Hence: the equivalent expressions of [tex](x^{6} )^{-3}[/tex] will be [tex](x )^{-18}[/tex].

Learn more about expression here;

https://brainly.com/question/14083225

#SPJ5

Multiply the polynomials: (2x^3−4x)(3x^2+2)

6x^5−16x^3+8x

x^5+18x^3−6x

5x^6+11x^3+8x

6x^5−8x^3−8x

Answers

the correct answer would be 6x^5-8x^3-8x

One telephone company charges $16.95 per month and $0.05 per minute for local calls. Another company charges $22.95 per month and $0.02 per minute for local calls. For what number of minutes of local calls per month is the cost of the plans the same?

Answers

Answer:.03x=6

Step-by-step explanation x=200 minutes

Answer:

200 minutes

Step-by-step explanation:

To find this, you should first set up an equation. Since you are trying to find the point where both plans cost the same, set them equal to each other. Let x be the cost for both. Write the equation:

[tex]16.95+0.05x=22.95+0.02x[/tex]

We place the x with the cost per minute because this is what you are trying to find. We add the cost per month.

Solve for x. Subtract 16.95 from both sides and simplify:

[tex]16.95-16.95+0.05x=22.95-16.95+0.02x\\0.05x=6+0.02x[/tex]

Subtract 0.02x from both sides:

[tex]0.05x-0.02x=6+0.02x-0.02x\\0.03x=6[/tex]

Divide both sides by 0.03:

[tex]\frac{0.03x}{0.03}=\frac{6}{0.03}\\ x=200[/tex]

At 200 minutes, the cost for both plans would be the same.

find the volume of the cylinder.
either enter an exact answer in terms of pi or the use of 3.14
radius 3
height 6

Answers

Answer:

Volume, [tex]V=169.56\ \text{units}^3[/tex]

Step-by-step explanation:

We have,

Radius of cylinder is 3 units

Height of the cylinder is 6 units

It is assumed to find the volume of the cylinder. The formula of the volume of cylinder is given by :

[tex]V=\pi r^2 h \\\\V=3.14\times 3^2 \times 6\\\\V=169.56\ \text{units}^3[/tex]

So, the volume of the cylinder is [tex]169.56\ \text{units}^3[/tex].

out of 17,21,14,17,12,15,16 what is the mean?

Answers

Answer:

mean  is 16

Step-by-step explanation:

to find the mean of the data set u add up all the numbers and then u see how many number there are in total and u divided the solution of the sum and divided it by the total number of numbers.

17+21+14+17+12+15+16 = 112

then u see how many number there are and there are 7

112/7= 16

Hich statement about a quadrilateral is true? A rectangle is a trapezoid. All rhombuses have four right angles. A trapezoid is a rhombus. A square is a rhombus.

Answers

Answer:

A square is a rhombus.

Step-by-step explanation:

A square is a geometrical figure which has four sides that are congruent. A rhombus is also a geometrical figure in which the four sides are congruent. Hence, it is true that a square is a rhombus. The difference between the two is that all the angles of a square are a right angle, while in rhombus the opposite angles are congruent.

Does the following equation represent growth or decay y=4^x

Answers

Answer:

The equation represents exponential growth

Step-by-step explanation:

Since the equation is a positive exponential equation

evaluate the expression -3 times 0.4 to the power of 2 + -1.1 to the power of 3?

Answers

Answer:

idk i have the same question

Step-by-step explanation:

a trapezoid has bases that measure 9cm and 5 cm. the height of the figure is 4cm. what is the area of the trapezoid

Answers

Answer:

28cm^2

Step-by-step explanation:

The area of a trapezoid is the bases added divided by two times the height.

(9+5)/2*4=7*4=28

28cm^2

laura goes shopping she spends one fourth of her money on a pair of shorts and one third of her remaining money on a belt if laura has $42 dollars left after these two purchases how much money did she have when she started shopping?

Answers

Answer:

84 dollars

Step-by-step explanation:

use x to represent the amount of money Laura had when she started shopping.

use y to represent the amount of money she had left after buying a pair of shorts.

You can create these two equations:

3/4x=y

2/3x=42

now, subsitute the value of y into the second equation.

2/3(3/4x)=42

1/2x=42

x=84

The height of a parallelogram is one-third its base. If the area of the parallelogram is 363 square inches, find its base and height. (Draw a diagram.)

Answers

Answer:

Height = 11 inches

Base = 33 inches

Step-by-step explanation:

In this question, we are asked to find the height and base of a parallelogram given the area of the parallelogram.

From the question, we are told that height is 1/3 of base. This means that base is 3 times the height

So if we represent the height with variable h, then the base is 3h

Mathematically the area of a parallelogram can be calculated by the formula

A = bh

Thus ,

363 = h * 3h

3h^2 = 363

divide through by 3

h^2 = 121

h = √121

h = 11 inches

since b = 3h , then b = 3 * 11 = 33 inches

Your basketball team plays 5 games, your team scores 10 points in the first game, 3 points im the second game, 2 points in the third game. 5 points in the fourth game, and 0 points in the fifth game. what was the mean number of points your team scores for all 5 games


When you’re gathering the points you’re finding the mean, so what is the mean number ?

3 points , 4 points 5 points, or 10 points?

Answers

I believe the answer is 4 points. Hope this helps!

Please help!!!! AWARDING BRAINLIEST!!

Answers

It’s a right triangle

Translate the expression with rational exponents into a radical expression. Simplify if necessary.

Answers

Answer:

(∛125)^5

=  3125.

Step-by-step explanation:

125 ^ (5/3)

= (cube root of 125) to the 5th power

= (∛125)^5

= 5^5

=

Help does any one know how to type out the variable that looks like a cursive E??

Answers

Answer:

why don't you copy and paste it

Which has a positive value in Quadrant IV?

Answers

Cosine is positive in Quadrant IV.

PLS HELP WITH THIS QUESTION, ASAP!!

BRAINLIEST AND POINTS

Answers

It is 3.15 x 10^-7. You find what 1.05 x 10^-10 is in scientific notation (0.00000000105), times that by 3000, and you end up with 0.000000315 (3.15 x 10^-7 is the answer)  :)

How to convert a decimal to a fraction

Answers

Step-by-step explanation:

Step 1: Write down the decimal divided by 1, like this: decimal 1.

Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

Step 3: Simplify (or reduce) the fraction

hope it helps

if the decimal last digit is in tenths then you would put it over 10, if it’s in the hundredths you would put a 100, and if it’s in the thousandths you would put in in 1000

Ex: .35 the last digit is in the hundredths place so you would put 35/100 and reduce it as much as you can. Both 35 and 100 can be divided by 5 and so that leaves you with 7/20 and you can’t reduce it anymore so that’s your final answer.
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