Mathematics Middle School

Given the similar triangles shown in the diagram below :

A) set up an equation and solve for x

B) find the length of side AB
C ) find the side length of side AC

Answers

Answer 1

Answer:

a.) (x-3)(x-3) = 25 + (x-4)(x-4)

x^2 - 6x + 9 = 25 + x^2 - 8x + 16

-6x + 9 = -8x + 41

2x + 9 = 41

2x = 32

x = 16

b.) 16 - 4 = 12

AB = 12

c.) 16 - 3 = 13

AC = 13

[btw I don't know if this is the method your teacher wants as it does not use the similar triangle :/ but it is still correct :) so good luck bro]

Answer 2

B is the correct answer

Related Questions

Which number is greater,
23×10^3
or
11×10^4?

How do you know? Explain your steps.

Answers

the greater number would be 11•10^4

to know this, you have to evaluate each equation and compare your answers.

10^3 = 1,000
23•1,000 = 23,000

10^4 = 10,000
11•10,000 = 110,000

110,000 > 23,000

(hope this helps some)

[tex]11\times 10^4[/tex] is the greater number among the given.

The given numbers are 23×10³ and [tex]11\times 10^4[/tex].

We need to identify which is the greater number among the given.

What is scientific notation?

The scientific notation helps us to represent the numbers that are very huge or very tiny in a form of multiplication of single-digit numbers and 10 raised to the power of the respective exponent. The exponent is positive if the number is very large and it is negative if the number is very small.

Now, 23×10³=23×1000=23000 and [tex]11\times 10^4[/tex]=11×10000=110000

Therefore, [tex]11\times 10^4[/tex] is the greater number among the given.

To learn more about the scientific notation visit:

https://brainly.com/question/18073768.

#SPJ2

Pls help if you can thank you

Answers

Applying Pythagoras Theorem
c² = 6² + 3²
c² = 36 + 9
c ² = 45
c = √45

ya um what they said ^^ they beat me to it lol but i hope you have a great day <33

Plz help me, first is brainliest

Answers

x”=-6 and y= -29
ywwww :)

i need help like really bad.. pls help..

Answers

Answer:

x/50=78/100

Explanation:

since the test has 50 points TOTAL, you know that it will be the denominator. and x would be however many points he got on the test. so out of 50 points, the student got x points is what x/50 means. then the second one would be your percentage. when converting percents do decimals, the number of your percent (in this case 78) would be your numerator, and since percents are out of 100 your denominator would be 100

X is 39 sorry I don’t rlly know hahahahahahaha

A local hamburger shop sold a combined total of 613 hamburgers and cheeseburgers on Wednesday. There were 63 more cheeseburgers sold than hamburgers. How many hamburgers were sold Wednesday

Answers

Answer:

This problem can be solved through the creation of a system of equations relating the number of hamburgers (x) and cheeseburgers (y).

Having a combined total of 603 hamburgers and cheeseburgers can be written as x+y=603 and having 53 more cheeseburgers than hamburgers can be written algebraically as y=x+53.

To solve the system:

x+y=603

y=x+53

Substitute what y equals in the second equation for y in the first equation:

x+(x+53)=603

2x+53=603

-53 -53

2x=550

2 2

x=275 hamburgers

To solve for the number of cheeseburgers, substitute 275 for x in either equation.

y=x+53

y=275+53

y=328 cheeseburgers

To double check your work, make sure that 275+328=603 and that 328=275+53. Since both are true, you have solved for the number of hamburgers (275) and cheeseburgers (328).

Step-by-step explanation:

Answer: 58 cheeseburgers

Step-by-step explanation:

Can someone please answer this?

Answers

Answer:

Step-by-step explanation:

root 97 is your answer

Answer:

D. √97

Step-by-step explanation:

1. use the distance formula: d= ✓(x2-x1)²+(y2-y1)²

2. plug in the coordinates into the formula.

d= ✓(6-2)²+(-5-4)²

3. simplify. d= √(4)²+(-9)²

4. simplify more. d= √16+81

5. add. d= √97

answer is √97

18 is the greatest common factor of two numbers. What are several things you know about the prime factorization of each number?

Answers

Answer:

Step-by-step explanation:

because 9 is half of 18

Using the drawing tool, graph the two inequalities on the number line. Take a screenshot of each number line and submit it in the response area below. For this scenario, how does the origin, zero, affect the graphing of the inequalities? What does zero represent? Type your answers in the response area.

Answers

The attached number lines represent the inequalities x ≥ 22 and x > -22

The inequalities

To answer these questions, we make use of the following inequalities

x ≥ 22 and x > -22

The ≥ inequality sign uses a closed circle, while the > inequality sign uses an open circle.

See attachment for the number line

The impact of the origin

The origin of a number line is the point zero on the number line.

It affects the graphing of the inequality because it differentiates between the positive sign and the negative sign.

Also, it is always the midpoint of the number line

What zero represent?

The point zero represents the origin of the inequality number line

Answers

Answer:

What is the image of the point (6, -4) when rotated 180 degrees anticlockwise about the origin?

(-6, -4)

(-6, 4)

(4, 6)

(-4, -6)

the answer is (-6, 4).

If the coordinate is rotated 180 degrees anticlockwise about the origin, the resulting coordinate will be (-6, -(-4)) = (-6, 4)

Given the coordinate point (x, y). If this coordinate is rotated 180 degrees anticlockwise about the origin, the resulting coordinate will be at (-x, -y)

We can see that the given coordinates were negated to get the resulting coordinate.

For the image of the point (6, -4), if the coordinate is rotated 180 degrees anticlockwise about the origin, the resulting coordinate will be (-6, -(-4)) = (-6, 4)

Learn more here: https://brainly.com/question/21804811

A store plans to sell two different game consoles, the Wii and the xbox. The store’s wholesale price for the Wii is $250, and the store can sell one for $295. The xbox wholesale price is $400, and the store can sell it for $450. The stores marketing research indicates that the total monthly demand for game consoles will not exceed 250 units sold. The store’s financial manager doe not want to invest more than $70,000 in inventory costs for game consoles. Write the constraints and the objective formula.

Answers

Answer:

17,645,is the answer to this mon$y prblm

Step-by-step explanation:

Add - 2/3n + 7/3.

A. -2+7n/3n
B. 1 2/3
C. 5n/3n
D. 5/3n

Answers

The answer is -2+7n/3n

Hope this helped!

WILL GIVE BRIANLY!!!
On a recent math test, Jill scored 3 points for each of the 18 multiple choice questions she answered correctly and 5 points for each of the 6 short response questions she answered correctly. What was her total score on the test?

Answers

Answer:

Step-by-step explanation:

DID THE MATH BOI !

Answer:

Step-by-step explanation:

A quarterback in the National Football League throws 54 touchdown passes in 18 games. What is the average number of touchdown passes that the quarterback throws per game?

Answers

Answer:3

Step-by-step explanation:54/18=3

Pls help me thanks :)

Answers

Answer:

c = [tex]\sqrt{45}[/tex]

Step-by-step explanation:

According to the Pythagoras' Theorem, the square of the hypotenuse of a right triangle is equal to the sum of the squares of the two other sides.

Since the other two sides are 6 and 3, [tex]c^{2}[/tex] = 6 squared + 3 squared.

So, c = the square root of 6 squared + 3 squared

the answer to this is c= √45

please halpe me pleaseee.

Answers

Answer:

n/85 - 34/170

Step-by-step explanation:

Just plug in the numbers to the boxes

Answer:

n/85=34/170

n=17 winners

find the slope of the line

Answers

Answer:

B (-3)

Step-by-step explanation:

Answer:

Im pretty sure that the answer is C.

Lindsay is playing a video game. She begins with an initial score of 400 points, but loses 180 points throughout the game. She represents her score using the expression below:

400 - 180

Which expression also represents Lindsay's video game score?

A. 180 - 400

B. 180 + 400

C. 400 - (-180)

D. 400 + (-180)

Answers

Answer:

Step-by-step explanation:

400-180=220

400+(-180)=220

:) i checked this many times

Answer:

Step-by-step explanation:

Given the graph below, which of the following represents the domain of the function?
A)Domain: –6 < x < 8
B)Domain: x ∈ ℜ
C)Domain: –3 < x ≤ 6
D)Domain: –6 ≤ x < 8

Answers

E is the correct answer

Explain in detail what happens to particles before, during, and after vaporization.

Before:
During:
After:

Answers

Answer:

before: clentched together and slowly moving

during: begin to move faster and spread apart

after: moving very fast because there is more room and its in gas form

Step-by-step explanation:

hope this helps <3

Śÿôqá
Hope thats helps

Find the missing number so that the equation has infinitely many solutions.
4x + ? – 6x = – 2x – 9

Missing Number = ?

Answers

The number would be 9

Find each product.
negative 7 ninths times 3 fifths
A. start fraction negative 27 over 45 end fraction
B. start fraction negative 7 over 15 end fraction
C. start fraction seven over fifteen end fraction
D. start fraction 27 over 45 end fraction

Answers

Answer:

[tex]B. \: start \: fraction \: negative \: 7 \: over \: 15 \: end \: fraction[/tex]

Determine the coordinates of the reflected image. A triangle with vertices A(1,3), B(4,8), and C(5,2) is reflected over the y-axis.

Answers

Answer:

Step-by-step explanation:

Help please I don't understand this I've read over it a couple times and still don't get it

Answers

Answer: 45 C

Step-by-step explanation:

7x5=45

Hope this helps!

Answer:

The answer is -21 degrees celcius. Because ground level is 14 degrees c and every time the level goes up 1 kilometer the tempurture goes down by 7 degrees c. Hope this makes sense now :)

What do you have to multiply 95 by to get 950?

Answers

Answer:

Step-by-step explanation:

950 / 95 = 10

Answer:

Step-by-step explanation:

950 divided by 95 = 10

will give brainliest and five stars if correct

Month Amount Deposited

(dollars)

January 1,200.32

February 985.43

March 1,200.65

April 1,987.34

May 1,000.98

The total amount of money that Kurt had deposited into his account at the end of May is ( )

. The total amount of money that he had deposited into his account at the end of March is ( )

.

Answers

Answer:

1) $6,374.72

2) $3,386.40

Step-by-step explanation:

1,200.32 +985.43 +1,200.65 +1,987.34 +1,000.98= 6,374.72

1,200.32 +985.43 +1,200.65 = 3,386.4

Answer:

Q.1 is 6374.72 Q.2 is 3386.4

Step-by-step explanation:

just add them up

Solve the equation from the previous problem: "The boardwalk has two bike rental shops. Ray’s Rentals charges a rate of $14.00 plus $9.00 an hour to rent a bike. Bentley’s Bikes charges a rate of $18 plus $7 an hour to rent a bike. For what number of hours would the companies charge the same?

Answers

Answer: The second hour!

Step-by-step explanation:

14+9= 23+9=32+9=41+9=50+=59

18+7=25+7=32

Answer:

2nd

Step-by-step explanation:

do the math

please 11/6÷5
(ignore this)

Answers

0.36666667 is the answer to this question

Answer:

11/30

Step-by-step explanation:

11/6×5

Complete the Table!!!

Answers

Answer: 41.78

I believe that's the answer for Sales Tax.

41.78 is the tax rate I think

Quadrilateral PQRS is plotted in the coordinate plane. It is transformed and the new ordered pairs for Q’ is (3,-2). Which set of transformations took place to Quadrilateral PQRS to get the ordered pair for Q’?

A) Translated right six units and down seven units
B) Translated down two units
C) Translated left seven units and down six units
D) Translated down seven units

Answers

The answer is A because it is the only option that has the output of (3,-2).

a1 + (n-1)d formula for the nth term . a1 = 1 , d = 9
show how u got ur answers and the formulla and ty

Answers

Answer:

a=1 and d=9

Step-by-step explanation:

Answer:

Step-by-step explanation:

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Given the similar triangles shown in the diagram below : A) set up an equation and solve for x B) find the length of side AB C ) find the side length of side AC

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Given the similar triangles shown in the diagram below :

A) set up an equation and solve for x

B) find the length of side AB
C ) find the side length of side AC