If ab = 10 ft, ac = 14 ft, and bc = 20 ft, what is rs? 10 ft 14 ft 20 ft 24 ft

Answers

Answer 1

The side |rs| is congruent to side |ac| which is 14 ft.

What are congruent triangles?

Congruent triangles are two similar triangles that have corresponding sides and angles and they are of equal measure.

The figures from the textbook illustrate that following rotation, the two triangles are congruent.

This signifies that the angles and sides of the first triangle are equal to the angles and sides of the other triangle.

Therefore:

ab = tr = 10 ftac = rs = 14 ftbd = ts = 20 ft

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Related Questions

If f(x) = 6x³ + 5x, g(x) = 3x² +5, and h(x) = 9x² - 8, What is the degree of f(g(h(x)))?

a)2
b)3
c)7
d) 12

Answers

f(x)=6x³+5xg(x)=3x²+5h(x)=9x²-8

Degree of f(x)=3

Degree of g(x)=2

Degree of h(x)=2

Degree of f(g(h(x)))

3(2)(2)12

Option D

Answer:

d) 12

Step-by-step explanation:

Given functions:

[tex]f(x)=6x^3+5x[/tex]

[tex]g(x)=3x^2+5[/tex]

[tex]h(x)=9x^2-8[/tex]

As we are only interested in the degrees of the function, we can eliminate the coefficients of each variable and the constants:

[tex]f(x)=x^3+x[/tex][tex]g(x)=x^2[/tex][tex]h(x)=x^2[/tex]

Therefore:

[tex]\begin{aligned}g[h(x)]& =(x^2)^2\\& =x^4\end{aligned}[/tex]

[tex]\begin{aligned}f[g[h(x)]] & = (x^4)^3+x^4\\& = x^{12}+x^4\end{aligned}[/tex]

Therefore, the degree of f[g[h(x)]] is 12

find the area of the shaded part.

Answers

Answer:

Step-by-step explanation:

For part a :

The circumference of the circle is given by the formula 2πr. We are given r so we double r and put it next to pi :

C = 2×π×r = 2×π×8 = 16π

For part b :

The area of a circle is given by the formula πr². We are given r so we square r and put it next to pi :

A = π×r² = π×8² = 64π

For part c :

The area of a square is given by the formula a² where a is the side length. This question requires an extra step as we don't have the length of the square. But we know that the diameter of the circle will be equal to the side of the length. The diameter of a circle is given by the formula   2r : so

D = 2r = 2×8 = 16

So the area of the square will equal :

A = 16² = 256

Hope this helped and brainliest and hearts please.

I'm on my road to genius rank

A candy is in the shape of a sphere. The candy has a radius of 1.5 centimeters. Which of the following is closest to the volume of the candy? (Use 3.14 for π.)

Answers

Answer:

The answer would be 14 cm

[tex]V = \frac{4pi(1.5)^3}{3}[/tex]

[tex]4.5pi = 14.3[/tex]

(pi = π)

Your welcome :)

Answer:

14 cm

Step-by-step explanation:

THE SIMPLE ANSWER

WILL GIVE BRAINLISEST AND 60 POINTS !!!!
Question 5(Multiple Choice Worth 4 points)
(04.04)
Which graph represents a linear function?

Answers

Answer:

3rd one

Step-by-step explanation:

it is the only one with a function and a straight line

How many different sequences of 3 playing cards (from a single 52-card deck) exist?
22,100
140,608
132,600
24,804

Answers

There 1,32,600 possibilities to withdrawn 3 different sequence of playing cards from 52 cards.

What is Permutations?

A permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements.

Here, total number of cards = 52

         Number of Withdrawn cards = 3

Possibilities of different sequences of 3 playing cards = 52 X 51 X 50

                                                                                          = 132600

Thus, there 1,32,600 possibilities to withdrawn 3 different sequence of playing cards from 52 cards.

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Answer:

132,600

Step-by-step explanation:

To determine the number of different sequences of 3 playing cards from a 52-card deck, we can use the formula for permutations, which is given by:

P(n, k) = n! / (n-k)!

Where n is the total number of items (in this case, the number of cards in the deck) and k is the number of items chosen (in this case, 3 cards).

Plugging in the values:

n = 52 (total number of cards in the deck)

k = 3 (number of cards chosen)

P(52, 3) = 52! / (52-3)!

Calculating the factorial terms:

52! = 52 x 51 x 50 x ... x 3 x 2 x 1

(52-3)! = 49! = 49 x 48 x ... x 3 x 2 x 1

Simplifying the equation:

P(52, 3) = 52 x 51 x 50

P(52, 3) = 132,600

Therefore, there are 132,600 different sequences of 3 playing cards that can be formed from a single 52-card deck.

Solve for x.
←2x+6
X+9
x = [?]

Answers

Answer:

3

Step-by-step explanation:

A simple way to solve this is by substituting, we start with trying 1 for x, 2+6=8, and 1+9=10. Because the two values are different, that means 1 is the incorrect value. We can try 2, 4+6=10, and 2+9=11, once again inequivalent. We finally try 3, and 6+6=12 and 3+9=12 meaning x must be 3

Tiles with the letters A,B,C,D,E,F,G and H written on them are placed in a bag. Malik draws out on letter at random. Which statements about the situation are true? Check all that apply.

The number of possible outcomes is 8.
The probability is drawing the tile with E written on it is 1/4.
P(vowel)=1/4
P(vowel) + P(consonant) % 1
Choosing one letter at random is a simple event.

Answers

Using the probability concept, it is found that the correct statements are given as follows:

The number of possible outcomes is 8.P(vowel)=1/4P(vowel) + P(consonant) = 1.

What is a probability?

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

In this problem, there are eight letters, two of which are vowels and six of which are consonants.

Hence:

P(vowel) = 2/8 = 1/4.P(consonant) = 6/8 = 3/4.P(vowel) + P(consonant) = 1/4 + 3/4 = 1.

E is one out eight letters, hence the probability is drawing the tile with E written on it is 1/8.

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Answer:

A, C, E

Step-by-step explanation:

The correct answers are A C E

or if you want to be more specific

A: The number of possible outcomes is 8.

C: P(vowel)=1/4

E: Choosing one letter at random is a simple event.

I got it right on Edge22

How many pairs of vertical angles are shown in the drawing?

Answers

Answer:

A.0

Step-by-step explanation:

Vertical angles are angles that are opposite of each other when two lines cross

Hope This Helped

Help asap plss step by step maybe?

Answers

(- 9 + a)/15 > 1 15 * (- 9 + 3)/15 > 15 - 9 + 3 > 15 a > 15 + 9 a > 24

[tex] \frac{ - 9 + a}{15} > 1 \\ \\ - 9 + a > 1 \times 15 \\ - 9 + a > 15 \\ a - 9 + 9 > 15 + 9 \\ a > 24[/tex]

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

[tex]x =\sqrt 2[/tex]

Step-by-step explanation:

Given is a 30° - 60° - 90° triangle.

side x lie opposite to 30° angle

[tex]\implies x = \frac{1}{2}\times \sqrt 8[/tex]

[tex]\implies x = \frac{1}{2}\times 2\sqrt 2[/tex]

[tex]\implies x =\sqrt 2[/tex]

-9y- 10 = x
5x +6y = -11

Answers

Answer: x = -1 , y = -1

Which of these can help you visualize data? Select all that apply.

bank statement
circle graph
spreadsheet
table
bar graph

Answers

Answer:

circle graph and bar graph

Step-by-step explanation:

they visualize because they are not simply just words, they make colorful graphs

Andy wrote the equation of a line that has a slope of Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction. and passes through the point (3, –2) in function notation.

Answers

Andy's equation is incorrect and the correct equation of the line is y + 2= 3/4(x - 3)

How to determine the equation of the line?

The given parameters are:

Slope, m = 3/4

Point, (x,y) = (3,-2)

The equation of the line is calculated using:

y - y1 = m(x - x1)

Substitute the known parameters

y + 2= 3/4(x - 3)

From the question;

Andy's equation is y + 2 = 3/4(x - 9/4)

The above equation is different from the actual equation y + 2= 3/4(x - 3)

Hence, Andy's equation is incorrect and the correct equation of the line is y + 2= 3/4(x - 3)

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The nearest hundred to 83,752,245 is?

Answers

Answer:

83,752,000

Very positive with this answer

Answer:

83,752,200

Step-by-step explanation:

please give me brainlist

Using synthetic division, find (2x4 − 3x3 − 20x − 21) ÷ (x − 3).

A.
2x3 + 3x2 + 9x + 7
B.
2x4 + 3x3 + 9x2 + 7x
C.
2x4 + 3x2 − 11x − 54
D.
2x3 + 3x2 − 11x − 54

Answers

The correct option for the synthetic division is A. 2x³ + 3x² + 9x + 7

How to solve the division?

Write down the first coefficient without changes and multiply the entry in the left part of the table by the last entry in the result.

Then, add the obtained result to the next coefficient of the dividend, and write the sum. All the coefficients are the coefficients of the quotient, and the last coefficient is the remainder.

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Solve for the exact value of x.

Answers

Answer:

x = 4

Step-by-step explanation:

A local television station sells time slots for programs in 303030-minute intervals. If the station operates 242424 hours per day, every day of the week, what is the total number of 303030-minute time slots the station can sell for Tuesday and Wednesday

Answers

Answer:

96

Step-by-step explanation:

Each day is 24 hours.

2 days = 2 × 24 hours = 48 hours

30-minute slot = 0.5-hour slot

48 hours / 0.5 hours = 96

Answer: 96

Answer:

96

Step-by-step explanation:

please solve the question in the picture​

Answers

Answer with a step-by-step explanation:

Let us write answers to the questions using the given Venn diagram

1) 4 students

2) 3 students

3) 3 students

4) Face book ( 7 students are using Face book while only 6 students are using the other social media platform)

- More explanation is attached to the picture -

Seventy three percent of a town’s population own cars. What is the population of the town, if the number of cars owned is 112,420?

Answers

Fractions are written as a ratio of two integers. The total number of cars owned is 154000 cars

Fractions and percentages

Fractions are written as a ratio of two integers.

Given the following

Total cars = 112,420 cars

If Seventy three percent of a town’s population own cars, then;

73% of x = 112,420

where x is the total population

0.73x = 112,420

x = 112,420/0.73

x = 154000

Hence the total number of cars owned is 154000 cars

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if the observed value is 69.4 and the predicted value is 70.4, what is the residual value? round your answer to the nearest hundredth.

Answers

The residual value will be equal to -1.

What is residual value?

A residual is a difference between the observed y-value of a data point and the predicted y-value on a regression line for the x-coordinate of the data point. A residual is positive when the point is above the line, negative when it is below the line, and zero when the observed y-value equals the predicted y-value.

Take, for instance, we have the following data entry:

Observed value = 69.4

Predicted value = 70.4

The residual (r) would be:

Residual value = 69.4 - 70.4 = -1

Therefore the residual value will be -1

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You wish to take a flight from Nevada to New York. Use the point (-4, 0) to represent Nevada, and the (5, 2) to represent New York. The airline has partitioned the flight so that you have a layover. The flight distance is partitioned in a ratio of 3:1. Determine the ordered pair that represents the location of the layover.

Answers

Using proportions, it is found that the ordered pair that represents the location of the layover is (3.75, 1.5).

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The flight distance is partitioned in a ratio of 3:1, hence, for both the x and y coordinates, we have that:

L - Nv = 3/4(Ny - Nv)

For the x-coordinate, we have that:

[tex]x + 4 = \frac{3}{4}(5 + 4)[/tex]

[tex]x = \frac{27}{4} - \frac{16}{4}[/tex]

[tex]x = \frac{11}{4}[/tex]

x = 3.75

For the y-coordinate, we have that:

[tex]y = \frac{3}{4}(2)[/tex]

[tex]y = \frac{6}{4}[/tex]

y = 1.5.

The ordered pair that represents the location of the layover is (3.75, 1.5).

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Fred's teacher gave the class the
quadratic function f(x) = 4x² + 16x+9
State two different methods Fred could use to solve the equation f(x) = 0.

Using one of the methods stated in part a, solve f(x) = 0 for x, to the nearest
tenth.

Answers

Two methods Fred could use to solve the equation are

The completing the square method The formula method

The solution for the function is x ≅ -0.7 OR x ≅ - 3.3

Solving quadratic equations

From the question, we are to solve the given quadratic equation

Two methods Fred could use to solve the equation are

The completing the square method The formula method

The given quadratic function is

f(x) = 4x² + 16x+9

Now, we are to solve f(x) = 0 for x

That is,

4x² + 16x+9 = 0

Using the formula method to solve the equation

[tex]x =\frac{-b \pm \sqrt{b^{2}-4ac } }{2a}[/tex]

In the equation,

a = 4, b = 16, and c = 9

∴ [tex]x =\frac{-16 \pm \sqrt{16^{2}-4(4)(9) } }{2(4)}[/tex]

[tex]x =\frac{-16 \pm \sqrt{256-144 } }{8}[/tex]

[tex]x =\frac{-16 \pm \sqrt{112 } }{8}[/tex]

[tex]x =\frac{-16 \pm 10.58 }{8}[/tex]

[tex]x =\frac{-16+ 10.58 }{8}[/tex] OR [tex]x =\frac{-16- 10.58 }{8}[/tex]

[tex]x =\frac{-5.42 }{8}[/tex] OR [tex]x =\frac{-26.58 }{8}[/tex]

x = -0.6771 OR x = - 3.3229

x ≅ -0.7 OR x ≅ - 3.3

Hence, the solution for the function is x ≅ -0.7 OR x ≅ - 3.3

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find the value of x and y from the following​

Answers

Step-by-step explanation:

due to the principle of identical angles on parallel lines when intersected by an inclined line, x is equal to the angle at B on the other side of AB.

in other words it is the supplementary angle to 150° at B.

that means together they are 180°. that is because the sum of all angles around a single point on one side of a line is 180° (because that line can be seen as the diameter of a circle, the point as the center of that circle, and one side of the diameter is a half-circle, which represents 180°).

so,

x = 180 - 150 = 30°

now, for the same principle,

x + y = 70

y = 70 - x = 70 - 30 = 40°

Please show work! Factor sin^2Θ + sin^2Θ cos^2Θ

Answers

Factorization of sin²θ + sin²θ cos²θ gives us; 2sin²θ - sin⁴θ

How to simplify Trigonometric Functions?

We want to simplify;

sin²θ + sin²θ cos²θ

Let us factorize out sin²θ to get;

sin²θ(1 + cos²θ)

Now, we know that cos²θ = 1 - sin²θ

Thus;

sin²θ(1 + cos²θ) = sin²θ(1 + 1 - sin²θ)

⇒ sin²θ(2 - sin²θ)

⇒ 2sin²θ - sin⁴θ

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URGENT

Find the area of the triangle. Round your answer to the nearest tenth.

A triangle A B C with side A C labeled 15 units and side B C as 7 units. The measure of angle A C B is 96 degrees.

The area of the triangle is about (blank) square units.

Answers

Answer:

hope you can understand

How do you write y=mx+b for this equation 21-y-mx=34

Answers

Answer:

y = -mx - 13.

Step-by-step explanation:

21-y-mx=34

Add y to both sides

21 - mx = 34 + y

Subtract 34 from both sides

-13 - mx = y

Rearrange:

y = -mx - 13.

Please help!! Need help asap.​

Answers

B. i believe i think ive had this b4 and it was b

Help lolllllllllllll

Answers

Answer:

-5 or 5

Step-by-step explanation:

the absolute value of -5 is 5. The absolute value of 5 is also 5.

Hope this helps :)

13. What is the surface area of the rectangular solid below using its net?
90 square units
108 square units
72 square units
84 square units

Answers

Answer:

108 square units

Step-by-step explanation:

3 x 4 = 12

3 x 4 = 12

6 x 3 = 18

6 x 3 = 18

6 x 4 = 24

6 x 4 = 24

24(2) + 18(2) + 12(2) = 108 square units

Therefore, the surface area of the rectangular solid below using its net is 108 square units

guys help just with part b for number 2!

Answers

Answer:

22 8th graders

Step-by-step explanation:

if 25% of the 88 kids are 8th graders then do this.

88x.25=22

88x.75=66

there are 22 eighth graders

and 66 seventh graders.

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What states recognize juneteenth as a paid holiday. If b=7 , what is the value of the expression 2(10-b)? A.4 B.6 C.24 D. 12 Read the passage.A Flag with 50 StarsThe first American flag to have red and white stripes and white stars on a blue field was flown in 1776, shortly after the United States declared its independence from Great Britain. Legend has it that a Philadelphia seamstress named Betsy Ross was hired by George Washington himself to create this flag. There is no evidence that this legend is true, and no one knows for certain who made the first flag, which had 13 stars and 13 stripes. However, we know for a fact that the first flag to have 50 starsthe one we have todaywas designed by a high school student.In 1958, Bob Heft was a 17-year-old student at Lancaster High School in Ohio. At that time, the United States had only 48 states but was on the verge of accepting two more: Alaska and Hawaii. The U.S. flag at the time had six neat rows of eight stars each. What would be the best way to add two more stars while keeping the arrangement neat and orderly? This was the question that Bobs history teacher posed to the class. The teacher gave the students an assignment: design a flag with 50 stars. Bob spent hours in the attic of his house, cutting up a 48-star flag and rearranging the stars until they fit just right. He was pleased with his solution to the problem, but his teacher found it less than perfect and gave him a B minus. Outraged, Bob told his teacher that he was going to send his design to his member of Congress, Walter Moeller. His teacher replied that if Bobs design was accepted as the new flag, he would be more than happy to change his grade to an A.A year later, Bob had graduated and was working as a draftsman when he received a call at work. He never would have imagined a call from President Eisenhowerbut that's who it was! Now that Alaska and Hawaii had been admitted as states, Congressman Moeller had succeeded in having Bob's design chosen as the new U.S. flag. Bob Heft was invited to Washington, D.C., for a ceremony during which his design was officially adopted as the new flag of the United States.Question 1Part AWhat inference about the flag can be made based on a A Flag with 50 Stars?The placement of stars on the flag has been a design challenge throughout history. Its past history is more well known by Americans than its more modern history.The decision to change the design of the flag has always cause controversy. Few people understand the significance of the number of stars and stripes on the flag. Question 2Part B - Points depend on a correct response in Part A.Which evidence from the text best supports the answer in Part A?The U.S. flag at the time had six neat rows of eight stars each. What would be the best way to add two more stars while keeping the arrangement neat and orderly?There is no evidence that this legend is true, and no one knows for certain who made the first flag, which had 13 stars and 13 stripes.Now that Alaska and Hawaii had been admitted as states, Congressman Moeller had succeeded in having Bob's design chosen as the new U.S. flag.Legend has it that a Philadelphia seamstress named Betsy Ross was hired by George Washington himself to create this flag. what the middle of the story in a circle H with m angle GKJ=27 find the m angle GHJ The radius of the base of a cylinder is 28 cm and its height is 48 cm. Find the surfacearea of the cylinder in terms of .OA.4,208 cmB.4,228 cmC.4,232 cmD.4,256pie cm2 Solve the equation by factoring. 8x^2+10x-7=0What is the solution set? I WILL GIVE BRAINLEST PLSSSS HELP!!! What type of multimedia presentation can be planned using an outline? 1. an animation. created digitally using a program like Flash.2. a presentation that lets users link our from a "home" page or slide.3. a slide show that starts on slide one and goes slide by slide to the end high tariffs led to: Select all that apply. The Great Schism was between the: Greek Orthodox Church Greek Christian Church Roman Protestant Church Roman Catholic Church NEXT QUESTIONREAD NEXT SECTION Explain how social science perspectives could be used to process information The word guilt is a word for a feeling.O TrueO False What is the component form of the vector whose tail is the point (-3,2) and whose head is the point (1, -6)? Which option below demonstrates the correct interval notation for acontinuous set of all numbers between 5 and 6, including 5, but not including6?OA. (5,6]OB. (5,6)O C. [5, 6)OD. (5, 6} can someone help me here NONSENSE=REPORT Read the excerpt from "A Genetics of Justice by Julia Alvarez.Perhaps because she had innocently revered him, my mother was now doubly revolted by this cold-blooded monster. He became something of an obsession with herliving as she was by then in exile with my father, isolated from her family who were still living on the Island. As my sisters and I were growing up, Trujillo and his excesses figured in many of my mothers cautionary tales.Which details does the author include to support the central idea about how her mother felt about the dictator? Select three options.doubly revoltedobsessionin exileisolatedcautionary tales it takes 1 hour to travel from new york to Washington dc by air and 4 hours by train The airfare is 200 and the train fare is 85If a traveler wishes to minimize the total cost of making this trip, which mode of transportation should be selected if the travelers opportunity cost of time spent in transit is $15 per hour? Which interpretation makes the most sense for Eudoo strengthen her argument, Eudora must explain how drawing on the traditional roles that inspired the characters of Ellie and Kari affect their purpose in the plot.Misha, who is extremely shy, moves to a new school mid-year. The girls at the new school ignore Misha. Misha even suspects that Ellie and Kari are making jokes behind her back. She feels so frustrated by her situation that she decides to join several clubs, try out for cheerleader, and run for class president. She finds friends everywhere she looks as a result of putting in such a big effort.Which interpretation makes the most sense for Eudora to include in her essay? A. The characters Ellie and Kari suggest that Misha is not the only shy character. B. The characters Ellie and Kari cause Misha to doubt herself and feel frustrated. C. The characters Ellie and Kari show just how misguided some young people can be. D. 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