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

Given The Similar Triangles Shown In The Diagram Below : A) Set Up An Equation And Solve For X B) Find

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

what does this equal and how do you solve it 10(x+4)

Answers

Answer:

10x+40

Step-by-step explanation:

Answer:

10 (x + 4) = 10x +40, I'm pretty sure that's the answer. Try that out :)

Step-by-step explanation:

I did distributed this equation, I did 10 times X, which x mean 1 and you would do 10 times 1, which is 10, but adding the variable in there so the variable would be X. And then I did the same thing except you do 10 times 4 and notice that there was a plus sign and not a minus sign. If there would be a minus sign it would be a negative answer, but with a plus sign it would be a positive answer, which is 40! :)

Hope that helps and hope that kinds make sense! :)

ANSWER: 10x + 40

WHOEVER GETS THIS RIGHT GETS 95 POINTS
Determine which integer will make the inequality x − 4 < 16 true.

A) S:{16}
B) S:{20}
C) S:{21}
D) S:{32}

Answers

Answer:

c

Step-by-step explanation:

The answer is C) s:{21}

how can you convert among fractions, decimals, and percents

Answers

Answer:

Step-by-step explanation:

Changing Percents to Decimals

The word percent means "per 100."  20% means 20 out of 100, or 20/100.   67% means 67 out of 100, or 67/100.  So to change a percent to a decimal, you simply divide the percentage number by 100.  When you divide by 100, the decimal just moves over 2 places to the left.

Changing Percents to Fractions

Remember, the word percent means "per 100."  This means you can change a percent to a fraction by dividing by 100.  Don't stop here though, make sure to simplify the fraction if possible.  Look to see if the numerator and denominator can be divided by the same number.

Changing Decimals to Fractions

First, figure out the place value of the last digit on the right.  Is it in the tenths place? Hundredths? Thousandths?  Use the place value to write the decimal as a fraction over 10, 100, 1000, etc. Then simplify the fraction if possible.

Remember, the first place to the right of the decimal is the tenths place.  The second place is the hundredths, then thousandths, ten thousandths, and so on.  

A fraction to decimal: devised the denominator ( the bottom part) into the numerator ( the top part): 1/= decision 4.00=0.25
A fraction to a percent multiply the fraction by 100 and reduce it

A decimal to fraction
A decimal to percent
A percent to a decimal
A percent to a fraction

I'm kinda stuck. Can anyone help?

I'm kinda stuck. Can anyone help?

Answers

Answer:

C) 147 ft²

Step-by-step explanation:

Bottom rectangle:

A = bh

A = 14(7)

A = 98

Top rectangle:

A = bh

A = 7(7)

A = 49

Combined:

98 + 49

147

Need helpp fastt plss will give brainliest to who is correct plss helpp
PLSSS HELPP I NEED THE ANSWER CORRECT
Pls explain in your answer

Need helpp fastt plss will give brainliest to who is correct plss helppPLSSS HELPP I NEED THE ANSWER

Answers

The answer is 221 I did the work

Help!!
Use the diagram of the equilateral triangle shown below to answer the following questions. Show the work that leads to your answers. a. What is the perimeter of the triangle? b. What is the height, ℎ mm, of the equilateral triangle? Write an exact answer using a square root and an approximate answer rounded to the tenths place.

Help!!Use the diagram of the equilateral triangle shown below to answer the following questions. Show

Answers

Answer:

Perimeter is 12mm, height is \(2\sqrt3\)mm in simplest radical form, and 3.5mm in approximate decimal form.

Step-by-step explanation:

The perimeter is easy; since it's an equilateral triangle, all sides are the same length of 4, so you can just do 3*4 (3 sides, 4mm each) to get a perimeter of 12.

For the height, you can see that it forms two right triangles, each with a given base of 2 and a hypotenuse of 4. We can apply the pythagorean theorem (\(a^2+b^2=c^2\)) here to find the missing leg length of the smaller right triangles, which is equal to the big triangle's height.

I've enclosed an attachment for that.

Hope this helps!

Help!!Use the diagram of the equilateral triangle shown below to answer the following questions. Show

The track pictured consists of a rectangular area and two semi-circular areas. The area of a rectangular part of the track is 32,000 square yards. The length of the shorter side of track is 160 yards.
*One answer only*

a. 80
b. 160
c. 800
d. 900
e. 1,300
f. 37,024

Answers

The answer is c. 800
C 800 is the answer

i need step by step explanation for this!

i need step by step explanation for this!

Answers

Answer:

61

Step-by-step explanation:

13 - 1 = 1212 ÷ 2 = 6Put 6 and 1 together: 61

Therefore, the number is 61

Let's check:

6 × 2 = 1212 + 1 = 13

The sum of the two digits is 13, and we got that, so we are correct. The number is 61.

Answer:

49

Step-by-step explanation:

let unit digit=x

ten's digit=y

then x+y=13

x=13-y

also x=2y+1

13-y=2y+1

13-1=2y+y

3y=12

y=12/3=4

x=13-4=9

so number =10×4+9=49

you order two tacos and a salad. the salad costs $2.50. you pay 6% sales tax and leave a $3 tip. you pay a total of $13.60. how much does one taco cost?

please also show the steps you used to solve it!!

Answers

Answer: $5.14 Should be the answer if not then The cost of one taco would be $3.75.

Ok, so 6% of 13.60 .81 cent. Subtract that from 13.60 that's 12.79. Now take subtract 2.50 that's 10.29. Now subtract 3 from that leaves you with 7.29 now divide that by 2. Each taco should be 3.64.

Mr. Davies spent $240 on lunch for his class. Sandwiches x cost $6 and drink y cost $2. This can be represented by the equation 6x+2y=240 Use the x- and y-intercepts to graph the equation.

What do the x- and y-intercepts represent?

Mr. Davies spent $240 on lunch for his class. Sandwiches x cost $6 and drink y cost $2. This can be represented

Answers

X- intercept is (40, 0)
Y- intercept is (0, 120)

The spinner is divided into 8 congruent sections.

After 96 spins, how many times would Tiffany expect the spinner to land on a color section beginning with the letter "B"?

The spinner is divided into 8 congruent sections.After 96 spins, how many times would Tiffany expect

Answers

Ummmm four over ninty-six

Answer:

48

Step-by-step explanation:

96/8=12*4=48

PLZ HELP ASAP HE MEEE PLZ ASAP PLZ PLZ HELP ME

PLZ HELP ASAP HE MEEE PLZ ASAP PLZ PLZ HELP ME

Answers

the answer is -3x+10=5x-8; x=2.25

The table represents the position of a ball thrown straight up in the air over 5 secs Decide whether the table represents a linear function or a nonlinear function. Use pencil and paper. Explain why you cannot find the position of the ball after 6 seconds. Create a new table of values for the same situation. Does your table of values represent a linear function or a nonlinear​ function?

The table represents the position of a ball thrown straight up in the air over 5 secs Decide whether

Answers

Answer: This a non-linear function

Step-by-step explanation: It curves.

The function explained is a non-linear function

Help! Please...
Mary is knitting scarves for soldiers. She can knit 6 inches in 113 hours. Scarves need to be 45 inches long.

Complete the statement below regarding Mary's hourly knitting rate and how long it takes her to complete a scarf.

Mary knits ( ) inch(es) per hour(s)
It will take her ( ) hours to finish a scarf.

Answers

Answer:

5085

Step-by-step explanation:

113x45= 5085

Pls help, it’s not 6

Pls help, its not 6

Answers

Answer:

then its probaly 5

Step-by-step explanation:

The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):

A graph with two linear functions; f of x passes through 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10.

Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)

Part B: Solve for k in each type of transformation. (4 points)

Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)

Answer:

honestly i dont know give me a minute ill re edit this  

Step-by-step explanation:

HELP ANSWER THIS I WILL GIVE TEN POINTS AND THANKS!

REMEMBER TO EXPLAIN STEP-BY STEP! AND GET THE CORRECT ANSWER!

The units and tens digits of one-two digit integer are the tens and units digits of another two- digit integer, respectively. If the product of the two integers is 4930, what is their sum?

Answers

Answer:

(10t + u)(10u + t) = 4,930

100tu + 10t^2 + 10u^2 + tu = 4,930

101tu + 10t^2 + 10u^2 = 4,930

10t^2 + (101u)t + (10u^2 - 4,930) = 0

(101u)^2 - 4(10)(10u^2 - 4,930)

= 10,201u^2 - 400u^2 + 197,200

= 9,801u^2 + 197,200

We see that u = 5 gives 442,225.

√442,225 = 665

(10t + 5)(50 + t) = 4,930

500t + 10t^2 + 250 + 5t = 4,930

10t^2 + 505t - 4,680 = 0

2t^2 + 101t - 936 = 0

t = (-101 + √(101^2 - 4(2)(-936)))/(2×2)

= (-101 + √17,689)/4

= (-101 + 133)/4 = 32/4 = 8

So the numbers are 58 and 85.

58 + 85 = 143

What is the completely factored form of the expression 16x^4 -y^4 Describe the method(s) of factoring you used.

What is the completely factored form of the expression 16x^4 -y^4 Describe the method(s) of factoring

Answers

Answer:

Step-by-step explanation:

\(16x^4 - y^4\)

\((4y^2)^2 - (y^2)^2\\\)

\(= ((2y)^2)^2 - ((y)^2)^2\)

Answer:

\((2x -y)(2x+y)(4x^2+y^2)\) via difference of squares

Step-by-step explanation:

\(16x^{4} - y^{4}\)

• Rewrite \(16x^{4} - y^{4}\) as \((4x^{2} )^{2} - (y^2 )^2\).

The difference of squares can be factored using the rule:\(a^2 - b^2=(a - b)(a+b).\)

\((4x^2 - y^2 )(4x^2+y^2 )\)

• Consider \(4x^2 - y^2\). Rewrite \(4x^2 - y^2\)  as \((2x)^2 - y^2\).

The difference of squares can be factored using the rule: \(a^2 - b^2=(a - b)(a+b).\)

\((2x -y)(2x+y)\)

• Rewrite the complete factored expression.

\((2x - y)(2x+y)(4x^2+y^2 )\)

Pls, help me with this question!!!

Pls, help me with this question!!!

Answers

Answer: the answer is 6

Step-by-step explanation:

work out the circumference of this circle. Take pi as 3.142. diameter is 14cm

Answers

Answer:

The circumference is solved with this equation: c=

So 43.988 cm would be the circumference!
work out the circumference of this circle. Take pi as 3.142. diameter is 14cm

Solve -2x + 6 = -20.

(A) -13
(B) 13
(C) -7
(D) 7

Answers

answer: x=13

explanation:
-2x+6=-20
subtract 6 from both sides
-2x=-26
divide -2 by both sides
two negatives equals a positive
x=13
The answer is B (13)

pls help me
plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

pls help me plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

x ≤ 2

Step-by-step explanation:

the answer is y < 2

explanation:

20 points to whoever gets this right <3 ( need a equation )

Nabhitha buys cookies and onions at the store.
She pays a total of $60.39.
She pays a total of $4.79 for the cookies.
She buys 8 bags of onions that each cost the same amount.

Write and solve an equation which can be used to determine xx, how much each bag of onions costs.

Answers

Answer:

8x+4.79=60.39

Step-by-step explanation:

If you want this solved,

60.39-4.79 = 55.6

55.6/8 =6.95

One bag of onions = $6.95

(just for extra because I'm tired)

The answer is 8x + 4.79 = 60.39
Explanation

Question in picture



Answer choices

A) Zhen spends 6 1/2 hours working for every hour of the completed audiobook.
B) Zhen completes 6 1/2 audiobooks in an hour
C) Zhen spends 6 1/2 hours working per audiobook

Question in pictureAnswer choices A) Zhen spends 6 1/2 hours working for every hour of the completed

Answers

Answer A. is correct I’m pretty sure

4 liters of 2% milk contains 8% cholesterol. A container of skim milk contains 2% cholesterol. How many liters of skim milk need to be added to the 4 liters of 2% milk to create a mixture with 4% cholesterol?

Answers

To solve this problem, we can set up an equation based on the amount of cholesterol in the mixture.

Let's assume that x liters of skim milk need to be added to the 4 liters of 2% milk.

The amount of cholesterol in the 4 liters of 2% milk is 8% of 4 liters, which can be calculated as (8/100) * 4 = 0.32 liters of cholesterol.

The amount of cholesterol in the x liters of skim milk is 2% of x liters, which can be calculated as (2/100) * x = 0.02x liters of cholesterol.

The total amount of cholesterol in the mixture is the sum of the cholesterol in the 2% milk and the skim milk, which should be equal to 4% of the total volume of the mixture. So, we have:

0.32 + 0.02x = (4/100) * (4 + x)

Simplifying the equation:

0.32 + 0.02x = 0.04(4 + x)

0.32 + 0.02x = 0.16 + 0.04x

0.02x - 0.04x = 0.16 - 0.32

-0.02x = -0.16

Dividing both sides by -0.02:

x = (-0.16) / (-0.02)

x = 8

Therefore, 8 liters of skim milk need to be added to the 4 liters of 2% milk to create a mixture with 4% cholesterol.

To solve this problem, we can use the following equation:

4+x4×8+x×2​=4

This equation represents the ratio of the total cholesterol to the total volume of the mixture. The numerator is the sum of the cholesterol from the 2% milk and the skim milk, and the denominator is the sum of the volumes of the 2% milk and the skim milk. The equation is equal to 4 because we want the mixture to have 4% cholesterol.

To find x, we can simplify and solve for x:

4+x32+2x​=4

32+2x=16+4x

16=2x

x=8

Therefore, we need to add 8 liters of skim milk to the 4 liters of 2% milk to create a mixture with 4% cholesterol.

What is the Meaning of P
P - 6 = -5

Answers

Answer:

1 is the answer your looking for considering 1 - 6 = -5

Answer:

P = 1

Step-by-step explanation

You have to add 6 on -6 and -5 to make P alone

P - 6 = -5

   +6   +6

P = 1

There is the meaning of P

The triangle is rotated 90° clockwise around the point (0,0).

Answers

Answer:

The answer is: still (0,0) the answer does not change if it is still both zeroes.

Step-by-step explanation:

90 degrees clockwise rotation

Mapping rule: (x, y) ⇒ (y, -x) Switch the coordinate numbers and turn the y coordinate into negative.

EXAMPLE: (4, 1) ⇒ (1, -4)

Since the points are (0,0), and it is a 90° triangle, it stays on point (0,0), because you are just changing it on the x and y axis

Please consider brainliest

HELPPP I'LL GIVE BRAINLIESTTT!!

HELPPP I'LL GIVE BRAINLIESTTT!!

Answers

Answer:

c,d Hope this helped

Step-by-step explanation:

Exsample

There are 40 dishes of salad and 7 people prefer bread instead.

what is the ratio of how many people want the salad to bread?

Answer: 40/7

40:7

40 to 7

find expressions equivalent to -8(3x-2)

Answers

Answer:24 x + 16

Explanation:

We use the distributive rule to handle this situation, which says:

a (b + c) = a b + a c and so we have 8(3x+2)= 24x + 16

-8(3x-2)
-8*3x+(-8)*-2
-24x+16

This is the answer

A class collects data on the number of movie tickets purchased and the total cost of those tickets. The class plots the data on a scatter plot. Which statement BEST interprets their results?


A. There is likely to be neither correlation nor causation between the number of movie tickets purchased and the total cost of those tickets.


B. There is likely to be correlation between the number of movie tickets purchased and the total cost of those tickets but not causation.


C. There is likely to be both correlation and causation between the number of movie tickets purchased and the total cost of those tickets.


D. There is likely to be causation between the number of movie tickets purchased and the total cost of those tickets but not correlation.

Answers

Answer: I think it is C . But I don't know if it's correct.

Step-by-step explanation:

Their results will likely show: C. both correlation and causation between the number of movie tickets purchased and the total cost of those tickets.

What is Correlation and Causation?

When two variables are correlated, it means one quantity changes as the other also changes. The correlation can be a causation when one variable is said to be the factor responsible for the other variable to change, and they are not just merely associated.

The number of tickets directly affects the total cost of tickets purchased. Therefore, their results will likely show: C. both correlation and causation between the number of movie tickets purchased and the total cost of those tickets.

Learn more about correlation and causation on:

https://brainly.com/question/964703

#SPJ2

help pls and make sure you actually answer I need this


There are 10 red, 10 blue, 10 green, and 10 yellow marbles in bag. A student pulled a marble, recorded the color, and placed the marble back in the bag. The table below lists the frequency of each color pulled during the experiment after 40 trials.


Outcome Frequency
red 8
blue 12
green 9
yellow 11


Compare the theoretical probability and experimental probability of pulling a red marble from the bag.
The theoretical probability, P(red), is 20%, and the experimental probability is 25%.
The theoretical probability, P(red), is 25%, and the experimental probability is 20%.
The theoretical probability, P(red), is 50%, and the experimental probability is 20%.
The theoretical probability, P(red), is 25%, and the experimental probability is 8%

Answers

Step-by-step explanation:

The theoretical probability of pulling a red marble from the bag can be calculated by dividing the number of red marbles by the total number of marbles:

P(red) = 10/40 = 1/4 = 0.25 = 25%

The experimental probability of pulling a red marble is the frequency of red marbles pulled divided by the total number of trials:

Experimental probability of pulling a red marble = 8/40 = 0.2 = 20%

Therefore, the theoretical probability of pulling a red marble is 25%, and the experimental probability is 20%.

So the answer is: The theoretical probability, P(red), is 25%, and the experimental probability is 20%.

Please Mark As Brainliest

The theoretical probability of pulling a red marble from the bag can be calculated by dividing the number of red marbles by the total number of marbles:
P(red) = 10/40 = 1/4 = 0.25 = 25%
The experimental probability of pulling a red marble is the frequency of red marbles pulled divided by the total number of trials:
Experimental probability of pulling a red marble =
8/40 = 0.2 = 20%
Therefore, the theoretical probability of pulling a red marble is 25%, and the experimental probability is 20%.
So the answer is: The theoretical probability, P(red), is 25%, and the experimental probability
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