Triangle ABC = Triangle ADF, AD = 18, BC = 17, DF= [?]

Triangle ABC = Triangle ADF, AD = 18, BC = 17, DF= [?]

Answers

Answer 1

The value of the length DF is 17

How to determine the length DF?

The statement Triangle ABC = Triangle ADF means that the triangles ABC and ADF are congruent triangles.

So, we have:

AB = AD

AC = A F

BC = DF

Given that BC = 17;

The equation BC = DF becomes

17 = DF

Rewrite as:

DF = 17

Hence, the value of the length DF is 17

Read more about congruent triangles at:

https://brainly.com/question/1675117

#SPJ1


Related Questions

Leslie set up a fruit stand to sell some of her crop of oranges. The first person who came by bought 1/3 of her oranges. The second person bought 4 oranges. The thrid person bought 1/4 of the REMAINING oranges. Leslie took the last 15 oranges home to make orange juice. How many oranges did Leslie have at the beginning?

Answers

Answer:

36

Step-by-step explanation:

Let's say Leslie starts with x oranges.

The first person buys 1/3 of the oranges, leaving behind 2/3 x.

The second person buys 4 oranges, leaving behind 2/3 x − 4.

The third person buys 1/4 of the remaining oranges, leaving behind:

3/4 (2/3 x − 4)

This amount equals 15. Solving for x:

15 = 3/4 (2/3 x − 4)

20 = 2/3 x − 4

24 = 2/3 x

36 = x

What is the volume of the solid

Answers

Answer:

A.264

Step-by-step explanation:

((Area Of triangle*height)=Volume

Area of triangle is the base of the triangle multiplied by height of triangle divided by 2

((8*6)/2)*11=264

In a study of patients arriving at a hospital emergency room, the gender of the patients is considered, together with whether the patients are younger or older than 30 years of age, and whether or not the patients are admitted to the hospital. It is found that 45% of the patients are male, 30% of the patients are younger than 30 years of age, 15% of the patients are females older than 30 years of age who are admitted to the hospital, and 21% of the patients are females younger than 30 years of age. What proportion of the patients are females older than 30 years of age who are not admitted to the hospital?

Answers

The probability of patients are females older than 30 years of age who are not admitted to the hospital is 0.19

How to calculate the probability?

The probability of patients who are females and are admitted will be 0.15. The probability of those younger than 30 years will be 0.21.

The proportion of the patients are females older than 30 years of age who are not admitted to the hospital will be:

= [(1 - 0.45) - 0.21] - 0.15

= 0.19

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

This year a small business has a total revenue of $21,700. If this is 38% less of their total revenue the previous year what was their total revenue the previous year?

Answers

Answer:

29946

Step-by-step explanation


Multiply the value by 1.38.

WHAT ARE THE ANSWERS TO 1,2,3,4 SOMEONE PLEASE HELP ME!!!!

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option for 1,2,3, and 4 are C,B,A, and C, respectively.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

A.) The Set which represents the integers is in the third option.

{.....,-3,-2,-1,0,1,2,3......}

B.) The property that is shown is option B, the cumulative property of multiplication.

C. The expression can be rewritten as,

4(x+5)-3(x+2) = 14

4x + 20 - 3x - 6 = 14

Thus, the correct option is the first option.

D.) The simplification of the expression (x⁵y²z)/(x³y⁶) can be done as,

(x⁵y²z)/(x³y⁶) = (x²z)/(y⁴)

Thus, the correct option is C.

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ1

Which statements can be used to accurately compare the functions? Select two options. [ g(x) has the lowest minimum. f(x) has the greatest maximum. All three functions have a y-intercept. All three functions have an x-intercept. 2 The domain of all three functions is the same.

Answers

The statement all three functions have a y-intercept and the statement f(x) has the greatest maximum can be used to accurately compare the functions.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

From the graph, we can see all the functions have y-intercept:

At x = 0

f(0) = 1

g(0) = -1/2

h(0) = -5

The f(x) has the greatest maximum, which is 10

Thus, the statement all three functions have a y-intercept and the statement f(x) has the greatest maximum can be used to accurately compare the functions.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

Translate (10,8) down 5

Answers

Answer:

A (10,3)

Step-by-step explanation:

15 (y - 4 ) - 2 ( 9y - 11 ) = 4 (8z - 13)

Answers

Answer to the given equation is 32z + 3y = 14.

Step 1: Given data: The given equation is 15 (y - 4) - 2 (9y - 11 ) = 4 (8z - 13)Step 2: Solving the above equation,

15y - 60 - 18y + 22 = 32z - 52

- 3y - 38 = 32z - 52

- 3y + 52 - 38 = 32z

- 3y + 14 = 32z

32z + 3y = 14

Hence, we get 32z + 3y = 14

Learn more about solving linear equations, refer:

https://brainly.com/question/2159099

2x-3y=7
-3x +7y = - 8

4x-3y = 9
2x + 3y = 9

SOLVE BOTH EQUATIONS??

Answers

Answer:

(5, 1 ) and (3, 1 )

Step-by-step explanation:

2x - 3y = 7 → (1)

- 3x + 7y = - 8 → (2)

multiplying (1) by 3 and (2) by 2 and adding will eliminate x

6x - 9y = 21 → (3)

- 6x + 14y = - 16 → (4)

add (3) and (4) term by term to eliminate x

0 + 5y = 5

5y = 5 ( divide both sides by 5 )

y = 1

substitute y = 1 into either of the 2 equations and solve for x

substituting into (1)

2x - 3(1) = 7

2x - 3 = 7 ( add 3 to both sides )

2x = 10 ( divide both sides by 2 )

x = 5

solution is (5, 1 )

------------------------------------------------------------

4x - 3y = 9 → (1)

2x + 3y = 9 → (2)

adding the 2 equations term by term will eliminate y

6x + 0 = 18

6x = 18 ( divide both sides by 6 )

x = 3

substitute x = 3 into either of the 2 equations and solve for y

substituting into (2)

2(3) + 3y = 9

6 + 3y = 9 ( subtract 6 from both sides )

3y = 3 ( divide both sides by 3 )

y = 1

solution is (3, 1 )

A graph titled Calories in Strawberries. The x-axis shows the number of strawberries, numbered 1 to 9, and the y-axis shows the number of calories, numbered 3 to 27. A straight line with a positive slope begins at point (0, 0) and ends at point (6.8, 27).
The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which statement is true?

Each strawberry contains 4 calories.
Each strawberry contains 3 calories.
Twenty-four strawberries contain 6 calories.
Four strawberries contain 15 calories.

Answers

From the equation y = 4x, each strawberry contains 4 calories.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the number of calories in x strawberries. Hence:

y - 0 = [(27 - 0)/(6.8 - 0)](x - 0)

y = 4x

From the equation y = 4x, each strawberry contains 4 calories.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

a

Step-by-step explanation:

what is the surface area of this? giving out 30 pts

Answers

Hello. The answer would be 35in2.

Luke was asked to find the median of the following numbers:

16, 24, 12, 7, 30, 11, 22

The work below shows the steps he used.

The numbers 7, 11, 24, and 30 are crossed out. StartFraction 16 + 22 Over 2 EndFraction = StartFraction 38 Over 2 EndFraction = 19.
What error did Luke make?
He forgot to put the numbers in order first.
He crossed off the low and high pairs incorrectly.
He left out a number when putting the numbers in order.
He did not make an error.

Answers

The mistake made by Luke is that he forgot to arrange the numbers in order first before finding the median.

How to find the median of a data?

The median is the middle number of a distribution when arrange in ascending or descending order.

7, 11, 12,16, 22, 24, 30

The number has been arrange from the smallest to the largest.

Therefore, the median can be calculated as follows:

median = 16

Therefore, Luke forgot to put the numbers in order first.

learn more on median here: https://brainly.com/question/26742240

#SPJ1

Answer: (C)

100% Correct Answer! Pls, give me brainliest. Thank You!

MEAN, MEDIAN AND MODE OF GROUPED DATA

Answers

See the attached files!!!!

Translate the given phrase into an algebraic expression and simplify if possible: the quotient of 12 and the product of 3 and 4.

Note: Enter only the simplified result.

Answers

Answer: 1

Step-by-step explanation:

First, we will translate this into an algebraic expression.

-> Quotient means we will be using divison

-> Product means we will be using multiplciation

     the quotient of 12 and the product of 3 and 4

     [tex]\displaystyle \frac{12}{\text{the product of 3 and 4}}[/tex]

     [tex]\displaystyle \frac{12}{3*4}[/tex]

Now, I will simplify.

     Given:

      [tex]\displaystyle \frac{12}{3*4}[/tex]

     Multiply:

     [tex]\displaystyle \frac{12}{12}[/tex]

     Divide:

     1

Read more about your problem here:

https://brainly.com/question/14709417

Please help I am so confused
Evaluate -6b+8t where b=-9 and t=-9

Answers

Answer:

-18

Step-by-step explanation:

If you plug the number values into the equation, it would be -6(-9)+8(-9) when then turns out to be 54+(-72) which is -18

SOMEONE PLEASE HELP IVE BEEN WAITING FOREVER

Answers

Answer:

Only option A. cannot be simplified; is in its simplest form.

Step-by-step explanation:

In order for A. to have a simplified form, it must have a specified degree or leading term, which it does not have, making it impossible to simplify.

Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle?

82°
92°
102°
112°

Answers

Answer:

102 deg

Step-by-step explanation:

The sum of the interior angles of a  n-gon

   are equal to   ( n-2)*180

     for a pentagon   ( 5-2)(180) = 540

88+118+132+100 + x = 540          x= 102 deg

Answer:

C. 102 is correct

Step-by-step explanation:

just took test

(07.03 MC)

What is the solution to the following equation? (1 point)

4(3x − 11) + 23 = 5x − 14
0
1
10
14

Answers

Answer:

1

Step-by-step explanation:

[tex]~~~~~~4(3x-11) +23 = 5x -14\\\\\implies 12x -44 + 23 -5x +14 = 0\\\\\implies 7x-7=0\\\\\implies 7x = 7\\\\\implies x = \dfrac 77 \\\\\implies x = 1[/tex]

Answer:x=1

Step-by-step explanation: did the test

Enter a positive value for d that makes this statement true: 18 *d less than 18 but greater than 0

Answers

Answer:

d=0.5

Step-by-step explanation:

18 x 0.5=9

9 is less than 18 and greater than 0

Answer:

9

Step-by-step explanation:

I can’t figure this out…going on 4 hours now

Answers

Answer:2: 95/215, 3: 95/580, 4: 210/330 5: 365/580

Step-by-step explanation:probability=outcome in question/the total number in the given category

answer this, will give brainlist​

Answers

Answer:

(-3, -10)

Step-by-step explanation:

We are asked to solve the system of equations simultaneously.

We need to equate the equations.

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

Solving :

⇒ -4 + 2x = 4x + 2

⇒ 4x - 2x = -4 - 2

⇒ 2x = -6

x = -3

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

Finding y :

⇒ y = 4(-3) + 2

⇒ y = -12 + 2

y = -10

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

Hence, the solution :

(-3, -10)

We have to solve them graphically as per question

y=-4+2x

Some points has already been found

y=4x+2

Graph attached

Solution is

(-3,-10)

A group of 5 friends each have x action figures in their collections. Each friend buys 6 more action figures. Now the 5 friends have a total of 150 action figures. How many action figures did each friend start​ with?

Answers

Answer:

29

Step-by-step explanation:

The problem is 5x + 6 = 150

I subtract 6 from each sides except the one with the variable.

6 - 6 = 0 and 150 - 6 = 144.

Then I bring 5x down.

Then I divided 5x with 5 and 144 with 5.

I got 28.8 for x, which means the friends had 28.8 action figures each.

And I don't think it would be possible for them to have 28.8 action figures, so you round to a whole number which would give you the answer 29.

I think I that makes sense.

Are 100 10 and 5 1 equivalent rates ? Pls answer quick

Answers

Answer:

No

Step-by-step explanation:

I don't think so

Reliable food sources and the ability to settle in one place contributed to what?
A. The Architectural Revolution.
B. Equal distribution of resources to all.
C. The beginning of hunter-gatherer societies.
D. Growth of the world's population.

Answers

Answer: A: sorry if I'm wrong but that's what I was told

Step-by-step explanation:

8 is added to the quotient of 36 divided by 4

Answers

Answer: (36/4)+8

Step-by-step explanation: brainliest?

Answer:

36/4 +8 = 17

Step-by-step explanation:

thanks and brainliest

Please help I will mark Brainly

Answers

The first number is always x. The second number is always y. Therefore X = 1

PLEASE HELLPPPP Ms. Rudolph randomly selects one student from a group of students.
are wearing a black shirt, 6 students are wearing a red shirt, and 9 students are
wearing a blue shirt.
Show your work to determine the PROBABILITY that the selected student is
wearing a BLACK shirt?
You may write your answer as a FRACTION or DECIMAL.

Answers

Using it's concept, it is found that the probability that the selected student is wearing a black shirt is given by:

[tex]p = \frac{n}{n + 15}[/tex]

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that out of n + 6 + 9 = n + 15 students, n are wearing black shirts, hence the probability is given by:

[tex]p = \frac{n}{n + 15}[/tex]

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

k dived by 11 is 7
solve for k

Answers

Answer:

k = 77

Step-by-step explanation:

[tex]\frac{k}{11} =7\\\\\rightarrow 11 * 7 = 77\\\rightarrow 77 \div 11 = 7[/tex]

Answer:

k = 77

Step-by-step explanation:

The question in equation form is :

[tex]\frac{k}{11} =7[/tex]

Now we multiply both sides by 11 to solve for k :

k = 7×11

k = 77

Hope this helped and brainliest please

Amanda's math certificate is 7 inches tall and
11 inches wide. Amanda wants to put the
certificate in a fancy frame that costs $3.00
per inch. How much will it cost to frame
Amanda's math certificate?

Answers

Answer:

ten inches

Step-by-step explanation:

because the frame will focus on it wider the tall will not fall in so you will divide the wide inches and you will mutiple it by the tall inches

Consider the function represented by the table.



For which x is f(x)=–3?

–7
–4
4
5

Answers

Step-by-step explanation:

-7 because i now this by myself aND blah blah blah blah blah blah blah blah blah blah blah blah blah blah step by step nice

nice nice

Answer:

A: -7

Step-by-step explanation:

Taking the test rn and just happened to see this :)

Other Questions
PLease help me solve this What do you think the Author's purpose is for writing this speech?Who do you think the audience is? Why are they the audience?How does the Author's Purpose and the intended audience affect this work as a reliable source?How does the author feel America is being threatened? chandra is constructing a weighted bookend for her shelf. it is a hollow rectangular prism, as shown, and she will fill it with sand to weigh it down Which structure is present in bacteria but not in a virus? O nucleic acid O capsid O cell membrane O envelope Roses are red, violets are blue..... you finish in your own funny/creative way Which is the correct label of the parallel lines? Parallel lines a and b are shown. Points A and B lie on line a while points C and D lie on line b. The letters a and b are separated by two vertical lines. There is a horizontal line with arrows on either end over the letters A A. There is another horizontal line with arrows on either end over the letters C B. A vertical line with a horizontal line intersecting it at the bottom separates the two pairs. There is a horizontal line over the letter A with one arrow on the right end. There is a horizontal line over the letter B with one arrow on the right end. The letters are separated by two vertical lines. There is a horizontal line with arrows on either end over the letters A A. There is another horizontal line with arrows on either end over the letters C B. A vertical line with a horizontal line intersecting it at the bottom separates the two pairs. Question 5(Multiple Choice Worth 1 points) (01.01 LC) Anna draws an angle in her notebook. In how many points do the rays intersect? 2 0 1 3 Question 6(Multiple Choice Worth 1 points) (01.01 MC) Is the image an example of perpendicular lines? line AB intersects with another line at 90 degrees Yes; the lines intersect. Yes; the lines intersect at a right angle. No; the lines never touch. No; the lines are one-dimensional. Question 7(Multiple Choice Worth 1 points) (01.01 LC) Which term best describes the geometric figure? A location is labeled A. Line Point Ray Segment Question 8(Multiple Choice Worth 1 points) (01.01 LC) Which undefined term is needed to define a circle? Point Radius Line Ray Question 9(Multiple Choice Worth 1 points) (01.01 LC) Which of the following is a flat surface that extends infinitely, has length and width, but does not have depth? Angle Circle Plane Segment Question 10(Multiple Choice Worth 1 points) (01.01 MC) James defines an angle as "a figure consisting of two rays." His statement is not precise enough because he should specify that the rays must be viastery4. What did the colonies of Mexico, Venezuela, and Argentina have in common?O They were controlled by England.They did not trade for slaves.O They were governed by Spain.O They had no goods to trade. Two corresponding sides of two similar triangles are 3 cm and 5 cm. The area of the first triangle is 12 cm. What is the area of the second triangle? In a class of students, the following data table summarizes the gender of the students and whether they have an A in the class. What is the probability that a student is afemale given that they have an A? In what areas was the United States a leader after the war? PLSS HELPP!!!! How might Laura Collins Lyster- Mensh respond to Brutus statements on natural rights? Answer in a minimum of three complete sentences using supporting evidence from the lesson. Did the mets win today? If yes or no what was score for today? Question 11 of 24Which sentence best describes a symbol in a story?O A. When the character loses her hat, she loses her courage.B. Each character must face loss in his or her own way.OC. Never give up is the key message of the story.D. By describing the battlefield, the author sets the mood. Find the exact length of side a. Escoge la mejor respuesta de acuerdo al contexto dado. Una fiesta puede llamarse una mina dale pachanga carita What is opportunity cost? ( selext the best answer) Please answer its iready press the image below.30 points btw Dissociative disorders share several symptoms including, but not limited to, __________.A.memory loss and assumption of a new identityB.a feeling of detachment and signs of depression and/or anxietyC.a blurred sense of reality and hallucinationsD.wandering from home and signs of depression and/or anxiety Chad created a table that shows the ratio of his sports game cards.Chads CardsCard TypeOutfieldInfieldCatcherPitchersQuantity3412Next, Chad created the graph below showing possible ratios for Pitchers cards to Infield cards in his deck. Which of the following statements are true?On a coordinate plane, a graph titled Chad's Cards has Damage on the x-axis and Defense on the y-axis. Points (1, 2), (2, 4), (3, 6), and (4, 8) are plotted.Chad should not have included the values (1, 2) and (3, 6) because that would mean he only had half a Catcher card.Chad should not have included the values (1, 2) and (3, 6) because the ratio would be different for these points.Chad should have changed the axes for the Infield and Pitchers cards so it was the same order as the table.Chad needs to switch the order of each (x, y) value to show the decreasing values of the Pitchers cards. 13. in batesian mimicry, a palatable species gains protection by mimicking an unpalatable one. imagine that individuals of a palatable, brightly colored fly species are blown to three remote islands. the first island has no predators of that species; the second has predators but no similarly colored, unpalatable species; and the third has both predators and a similarly colored, unpalatable species. in a short essay (100-150 words), predict what might happen to the coloration of the palatable species on each island through evolutionry time if coloration is a genetically controlled trait. explain your predictions.