AngleFBC and AngleCBG are supplements, AngleDBG and AngleDBF are supplements, and AngleCBG Is-congruent-to AngleDBF.

4 lines are shown. A horizontal line with points F, B, G intersects a vertical line with points A, B, E at point B and forms a right angle. Another diagonal line with points D, B, C intersects the other 2 lines at point B between angle F B E and angle A B G. A fourth line intersects 3 lines at points A, C, G.
By the congruent supplements theorem, what can you conclude?

AngleCBG Is-congruent-to AngleDBG
AngleFBC Is-congruent-to AngleDBG
AngleCBG is supplementary to AngleDBF.
AngleFBC is supplementary to AngleDBG.

Answers

Answer 1

Answer:

FBC=DBG

Step-by-step explanation:

Edge 2020

Answer 2

Based on the congruent supplements theorem which says that two angles are that are supplements of the same angle are congruent, therefore:  ∠FBC ≅ ∠DBG.

What is the Congruent Supplements Theorem?

The congruent supplements theorem states that when two angles are congruent or supplements of the same angle, therefore, the two angles can be proven to be congruent angles.

Therefore, from the information given, we can conclude based on the congruent supplements theorem that:  ∠FBC ≅ ∠DBG.

Learn more about congruent supplements theorem on:

https://brainly.com/question/21095363


Related Questions

Can anyone please help me with this question?

Answers

Answer:

Step-by-step explanation:

67 is tyen answer i did the quiz im in 9th grade

If the area of a rectangle is 12mn^2 and the width is 3m^2n, what would be the length of the rectangle, given that length is found by dividing area by length?

Answers

Let's see

Area=Length×Breadth

[tex]\\ \rm\rightarrowtail 3m^2n(L)=12mn^2[/tex]

[tex]\\ \rm\rightarrowtail mL=4n[/tex]

[tex]\\ \rm\rightarrowtail L=4n/m[/tex]

Answer:

[tex]\sf length=\dfrac{4n}{m}[/tex]

Step-by-step explanation:

Area of a rectangle = width × length

Given:

[tex]\sf area=12mn^2[/tex][tex]\sf width=3m^2n[/tex]

Substituting the given expressions into the equation:

[tex]\sf \implies 12mn^2=3m^2n \times length[/tex]

[tex]\sf \implies length=\dfrac{12mn^2}{3m^2n}[/tex]

Factor 12 to 3 · 4:

[tex]\sf \implies length=\dfrac{3 \cdot 4mn^2}{3m^2n}[/tex]

Cancel the common factor of 3:

[tex]\sf \implies length=\dfrac{4mn^2}{m^2n}[/tex]

Simplify [tex]\sf \dfrac{n^2}{n}=n[/tex] :

[tex]\sf \implies length=\dfrac{4mn}{m^2}[/tex]

Simplify [tex]\sf \dfrac{m}{m^2}=\dfrac{1}{m}[/tex] :

[tex]\sf \implies length=\dfrac{4n}{m}[/tex]

Graph the line with the equation y=5/4x-2

Answers

If you were to graph the line it would look like this.

Assessment timer and count
Assessment items



Item 3

A lamp is on sale, and its price is reduced from $80 to $50.

What is the percent of decrease?

Answers

Answer:

37.5 percent

Step-by-step explanation:

Finding percent is simple. You want to find percent of the price drop so you subtract 50 from 80 and get 30. Once you get 30 you divide by 80 (your original price). Once you do this you will get 0.375. Multiply this by 100 to get your percent.

100 BRAINLY POINTS!!!
A scatter plot shows a negative linear relationship between the time spent reviewing a writing assignment and
the number of spelling mistakes on it. The following statements describe possible relationships between the
variables.

I. As the review time decreases, the number of spelling mistakes increases.

II. As the review time increases, the number of spelling mistakes increases.

III. As the review time decreases, the number of spelling mistakes decreases.

IV. As the review time increases, the number of spelling mistakes decreases.

Which of these statements are correct?

A. Only IV

B. Only III

C. II And III

D. I And IV

EXPLAIN YOUR ANSWER
SHOW YOUR WORK

PLEASE CUH I NEED HELP

Answers

Time spent in reviewing be xSpelling mistakes is y

Negative slope

Means sample equation in slope intercept form is

y=-mx

So if you spot 2 mistakes on observing 1 min

then slope is 2

y=-2x

Put one by one

(1,-2)(2,-4)

Direct variation

Hence

Option 1 and 4 are correct

Answer:

D)  I and IV

Step-by-step explanation:

The variable along the x-axis is the independent variable.

The variable along the y-axis is the dependent variable.

It would be fair to determine that the time spent reviewing a writing assignment is dependent upon the number of spelling mistakes, as the more mistakes an assignment has, the longer it should take to review, however we cannot say this for certain, therefore we cannot assign the dependent and independent variables.

If the scatter plot shows a negative linear relationship, then as the x-values increase, the y-values decrease.

Statements I and IV suggest a negative linear relationship only, depending on which variable is dependent and independent.
(FYI Statements II and III describe positive linear relationships)

Statement I

x-axis (independent variable) = number of spelling mistakes

y-axis (dependent variable) = review time

Statement IV

x-axis (independent variable) = review time

y-axis (dependent variable) = number of spelling mistakes

Therefore, as we cannot be sure which is the dependent variable and which is the independent variable, the solution is D.

Sony’s wireless bluetooth speaker originally costs $99. Currently it is on sale for 45% off. What is the discount?

Answers

Answer:

How much it's worth now - 54.45 Dollars

Discount - 44.55 Dollars

1. Which of the following models is an exponential decay model?
a) y = 12 (3.57)^t
b) y = 4 (1.21)^t
c) y = 1 + 6t
d) y = 7 (0.98)^t

2. Which of the following models is an exponential decay model?
A) y = 2,000 (0.07)^t
B) y = 4,000 (3.84)^t
C) y = 26t^2
D) y = 1 + 17t

3. Exponential decay models have a base between ____ and ____.

Answers

Answer:

1. d) [tex]\mathsf{y=7(0.98)^t}[/tex]

2. A) [tex]\mathsf{y=2000(0.07)^t}[/tex]

3. zero and 1

Step-by-step explanation:

General form of an exponential model:  [tex]\mathsf{y=ab^x}[/tex]

If 0 < b < 1 then model decays

1. d) [tex]\mathsf{y=7(0.98)^t}[/tex]

2. A) [tex]\mathsf{y=2000(0.07)^t}[/tex]

3. Exponential decay models have a base between 0 and 1

You poured some 6% alcohol solution and some 8% alcohol solution into a mixing container. Now you have 600 grams of 7.4% alcohol solution. Write and solve a system of equations to find how many grams of 6% solution and how many grams of 8% solution you poured into the mixing container.
You mixed ___ grams of 6% solution with ____grams of 8% solution.

Answers

Answer:

180 grams of 6%420 grams of 8%

Step-by-step explanation:

Let s and e represent the grams of 6% and 8% solution, respectively. The given relations can be described by ...

  s + e = 600 . . . . . you have 600 grams of mixture

  0.06s +0.08e = 0.074(600) . . . . grams of alcohol in the mixture

__

The first equation can give an expression for s that substitutes nicely into the second equation:

  s = 600 -e

  0.06(600 -e) +0.08e = 0.074(600) . . . . substitute for s

  0.02e = 0.014(600) . . . . . . subtract 0.06(600)

  e = 420 . . . . . . . divide by 0.02

  s = 600 -420 = 180

You mixed 180 grams of 6% solution with 420 grams of 8% solution.

Answer: 180 grams of 6% solution with 420 grams of 8% solution.

Step-by-step explanation:

Let x and y be the weight (in grams) of 6% and 8% alcohol solution. Since the total weight is 600 grams, therefore,

[tex]$$\Rightarrow x+y=600 \ldots \text { (1) }[/tex]

Using the statement given, we can write the following equation:

[tex]\Rightarrow 6 x+8 y=(7.4)(600)\\ \Rightarrow 6 x+8 y=4440 \text {... (2) }[/tex]

Substitute the value of y from equation (1) into equation (2), we'll get:

[tex]\begin{gathered}\Rightarrow 6 x+8(600-x)=4440 \\\Rightarrow 6 x+4800-8 x=4440 \\\Rightarrow 2 x=360 \\\Rightarrow x=180\end{gathered}[/tex]

Therefore,

[tex]\Rightarrow y=600-180=420[/tex]

Therefore, you mixed 180 grams of 6% solution with 420 grams of 8% solution.

Can you answer the question on the picture

Answers

Answer:

[tex]\huge\boxed{\sf 6x^2-x+16}[/tex]

Step-by-step explanation:

[tex]= (2x-3)(3x+4)\\\\Expand\\\\= 2x(3x+4)-3(3x+4)\\\\Distribute\\\\= 6x^2+8x-9x+16\\\\= 6x^2-x+16\\\\\rule[225]{225}{2}[/tex]

Answer:

6x²-x-12

Step-by-step explanation:

(2x-3)(3x+4)

2x(3x+4) -3(3x+4)

6x²+8x-9x-12

6x²-x-12

anyone know this? pleaseee

Answers

Answer:

x-4/3

Step-by-step explanation:

the unknown number is the number they think of, you can't read their mind. but you know you have to subtract by 4 and divide by 3.

Can anybody help me please with question 1 please and thank you .I would really appreciate it so much.

Answers

Answer:

Given

Step-by-step explanation:

At the beginning it says "Given: AB = CB" so they just gave you that information.

The slope of 5,10 and 2,6 ?

Answers

Answer:

4/3

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

    = ( 6-10)/(2-5)

   = -4/-3

   = 4/3

Which is a factor of x2 8x – 48? (x – 6) (x 4) (x – 16) (x 12)

Answers

The answer is (x+12) step-by-step

Answer: D

Step-by-step explanation:

Solve each system of equations 2a+b+c=0 2b+c+a=-4 2c+a+b+4

Answers

Answer:

  (a, b, c) = (0, -4, 4)

Step-by-step explanation:

Any of a variety of calculators, spreadsheets, or web sites can solve these equations for you. A calculator result is attached. It shows the solution to be ...

  (a, b, c) = (0, -4, 4)

__

If you'd like to solve the system by hand, here's one way:

Add the three equations together:

  (2a +b +c) +(2b +c +a) +(2c +a +b) = (0) +(-4) +(4)

  4a +4b +4c = 0 . . . . simplify

  a +b +c = 0 . . . . . divide by 4

Substitute this into each of the other equations:

  a +(a +b +c) = 0   ⇒   a +0 = 0   ⇒   a = 0

  b +(a +b +c) = -4   ⇒   b +0 = -4   ⇒   b = -4

  c +(a +b +c) = 4   ⇒   c +0 = 4   ⇒   c = 4

15. What is the value of x?

(x + 10)°
(3x - 5)°
X =

Answers

Answer:

35

Step-by-step explanation:

x + 10 + 3x - 5 + x = 180

5x + 5 = 180

5x = 175

x = 35

slope-intercept form, write the equation of the line
that passes through the point (4, 2) with a slope of 5.

Answers

Answer:

[tex]y=5x-18[/tex]

Step-by-step explanation:

Given the following question:

Point A = (4, 2) = (x, y)
Slope = 5

To find the answer we are going to have to use the formula for slope intercept, substitute the values, then solve for the variable b to have our answer.

[tex]y=mx+b[/tex]
[tex]y=2[/tex]
[tex]m=5[/tex]
[tex]x=4[/tex]
[tex]2=5(4)+b[/tex]
[tex]5\times4=20[/tex]
[tex]2=20+b[/tex]
[tex]20-20=0[/tex]
[tex]2-20=-18[/tex]
[tex]-18=b[/tex]
[tex]b=-18[/tex]
[tex]y=5x-18[/tex]

Your answer is "y = 5x - 18."

Hope this helps.

True or false: When describing range, you should start with the smallest y-value, au
work your way to the largest.

Answers

Answer:

true

Step-by-step explanation:

hope this helped!

p.s it would be cool if you gave me brainliest.

Answer:

True

Step-by-step explanation:

To find the range first order the data from the least to greatest. Then subtract the smallest value from the largest value in the set.

A box of dried fruit has 52 Calories in 4 servings how many calories are there per serving

Answers

Answer:

13 calories per serving

Step-by-step explanation:

52/4 = 13

Answer:

13

Step-by-step explanation:

52 divide 4 equals to 13

Hope this help :)

add [7x] ^2-8, [2x] ^2+1 and 5-x^2. and ^ means power and if you spam i will report you

Answers

Answer:

52x2−2

Step-by-step explanation:

=49x2+−8+4x2+1+5+−x2

Combine Like Terms:

=49x2+−8+4x2+1+5+−x2

=(49x2+4x2+−x2)+(−8+1+5)

=52x2+−2

Which expression is a trinomial of degree 1?

6 + x – y
3x – y

Answers

Answer:

=> 6 + x – y

Step-by-step explanation:

=> The trinomial of degree 1 = 6 + x – y

Homework Jim Thompson! Part 1

Answers

Problem 1

Answers:

Choice A) CylinderChoice C) Rectangular prismChoice D) Rectangular pyramid

Reason:

Refer the diagram below to see how rectangular cross sections are possible. The cross sections are marked in red.

For the rectangular prism, we could have a vertical or horizontal plane. For the cylinder, only a vertical cross section is possible. On the flip side, a rectangular pyramid can only have horizontal rectangular cross sections (which are similar to the base).

========================================================

Problem 2

Answer: Approximately 73,280.62908 square feet

Explanation:

Calculate the area of the trapezoid. Ignore the small triangle for now.

A = h*(b1+b2)/2

A = 354*(266+158)/2

A = 75,048

Now calculate the area of the triangle we ignored earlier

Before we do this, we'll need to use the pythagorean theorem to find the missing horizontal piece

a^2 + b^2 = c^2

b = sqrt(c^2 - a^2)

b = sqrt(97^2 - 40^2)

b = 88.368546 which is approximate.

Now we can find the area of the small triangle

Area = base*height/2 = 88.368546*40/2 = 1,767.37092

This is to be subtracted from the area of the trapezoid we found earlier.

75,048 - 1,767.37092 = 73,280.62908

Round the result however you need to.

please help!! a circular garden has a diameter of 16 yards. what is the area of the garden. use 3.14 for pi.
A. 50.24 yd2
B. 100.48 yd2
C. 200.96 yd2
D. 803.84 yd2

Answers

Answer:

C. 200.96 yd²

Step-by-step explanation:

diameter = 16 yd

radius = diameter/2 = 16 yd / 2 = 8 yd

area = πr²

area = 3.14 × (8 yd)²

area = 200.96 yd²

Solve for x.

z = 6 π x y

Image Below

Answers

Answer:

third option

Step-by-step explanation:

Given

z = 6πxy ( isolate x by dividing both sides by 6πy )

[tex]\frac{z}{6\pi y}[/tex] = x

7. a. dilate point c using center d and scale factor 3/4

b. dilate segment ab using center d and scale factor 1/2.

Answers

The dilations will give the relations:

C'D = (3/4)CD and A'B' = (1/2)AB

And a sketch of the graph can be seen at the end.

How to dilate C?

First, we want to dilate point C using D as the center of dilation with a scale factor = 3/4.

This only means that we will have the new point C', such that:

C'D = (3/4)*CD

Where CD is the distance between points C and D

b) Similarly, we will dilate the whole segment AB into the segment A'B', such that:

A'B' = (1/2)AB.

It is hard to give the exact graph when we don't know the coordinates of the points, but the graph should look something like the one you can see below.

If you want to learn more about dilations, you can read:

https://brainly.com/question/3457976

Can anyone help me with this?

Answers

Answer:

is there an area tho

Step-by-step explanation:

A group of friends was eating in a restaurant the bill is $415.28 and they paid 18% tip, what was the total?

Answers

Answer:

$490.03

Step-by-step explanation:

($415.28)(0.18) = $74.75

$415.28 + $74.75 = $490.03

Byron earns $11.00 per hour. How many hours will Byron have to work to earn $143.00?
7.7 hours
13.0 hours
14.3 hours
15.7 hours

Answers

Answer:

13.0 hours

Step-by-step explanation:

$143 ÷ $11 (how he gets payed per hour) = 13 hours

Byron has to work 13 hours to earn $143 dollars

Answer:

[tex]Byron \: will \: have \: to \: work \: for \\ \: 13\: hrs \: to \: earn \: 143[/tex]

[tex]let \: the \: number \: of \: hrs \: = x \\ then \\ for \: the \: salary \: of \: \: 143 \: \\ the \: earning \: \times \: the \: time \: (x) = 143 \\ so \: 11x \: = 143 \\ x = \frac{143}{11} = 13.[/tex]

Solve for the given variable
ax-bx=3;x

I need help :

Answers

Answer:

x = [tex]\frac{3}{a-b}[/tex]

Step-by-step explanation:

Given

ax - bx = 3 ← factor out x from each term on the left side

x(a - b) = 3 ← divide both sides by (a - b)

x = [tex]\frac{3}{a-b}[/tex]

someone help please

Answers

Answer:

Step-by-step explanation:

Semicircle:

diameter = 6 yd

r = 6/2 = 3 yd

[tex]Area \ of \ semicircle = \dfrac{1}{2}\pi r^{2}\\\\[/tex]

                                [tex]=\dfrac{1}{2}*3.14*3*3\\\\= 14.13 \ yd^{2}[/tex]

Triangle:

base = b =6 yd

height = h = 4 yd

[tex]Area \ of \ triangle = \dfrac{1}{2}bh\\\\[/tex]

                            [tex]=\dfrac{1}{2}*6*4\\\\\\= 3*4\\\\= 12 \ yd^{2}[/tex]

Area of composite figure =area of semicircle + area of triangle

                                         = 14.13 +12

                                         = 26.13 yd²

Please help :)
It would be really helpful if your formatted your answer like 8b. (Answer)
It’s fine if you can’t answer them all juts say which ones your can :) tysm!

Answers

Answer:

36

Step-by-step explanation:

one calculator price =30/5=6

cost price of 6 calculator=6*6=36

The answer is all that I know is all that
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