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

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:

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

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Step-by-step explanation:

Answer:

(∛125)^5

=  3125.

Step-by-step explanation:

125 ^ (5/3)

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

= (∛125)^5

= 5^5

=

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

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

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.

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

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.

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].

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

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.

Answer:

The equation represents exponential growth

Step-by-step explanation:

Since the equation is a positive exponential equation

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

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.

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.

Answer:

why don't you copy and paste it

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].

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. :)

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)  :)

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

Answer:

idk i have the same question

Step-by-step explanation:

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

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

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

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.

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°.