The triangles below are similar. What is the value of x ?

The Triangles Below Are Similar. What Is The Value Of X ?

Answers

Answer 1

Answer:

Step-by-step explanation:

Since triangle ADE and triangle ABC are similar, that means their sides are proportional, thus we get the equation

[tex]\frac{AD}{AB} =\frac{DE}{BC}[/tex]

[tex]\frac{2}{6} = \frac{x}{12}[/tex]

[tex]6x = 24\\x=4[/tex]

Thus the value of x is 4


Related Questions

15 POINTS!
Heath performed an experiment in which he randomly pulled one marble out of a bag at a time, recorded its color, placed it back in the bag, and repeated. His results are shown in the following table. What is the experimental probability of pulling a green marble?

Enter your answer as a decimal rounded to the nearest hundredth, like this: 42.53

Answers

Answer: 21/36

Step-by-step explanation:

I added both of the numbers together (15+21) and I got 36 so I just put 21 over 36. So the percentage of it is either 58% or 58.3% !

Hope it helped ;>

Answer:

0.58

Step-by-step explanation:

15 + 21 = 36

21 / 36 = 0.58

0.58

NOW SOMETIMES SOME SCHOOLWORK WILL WANT IT HAS A HIGHER DECIMAL IT DEPENDS ON UR SCHOOL SO IF 0.58 DOES END UP BEING WRONG (which is unlikely because most schools would want it this way) THEN I WOULD DO 58.33

ok have a wonderful rest of ur day :)

Janet just mulched her yard and had 2 1/4 bags of mulch left. She divided it evenly and gave 3/8 of a bag to each of the people on her block. How many people live on Janet's block?

Answers

Answer:

6 people

Step-by-step explanation:

2 1/4 = 9/4 = 18/8

She gave 3/8 of a bag to each of the people => she gave 18/8 : 3/8 = 6 people

So, there are 6 people that live on Janet's block (maybe 7 if count Janet herself)

Answer:

6

Step-by-step explanation:

2.25 divided by 3/8 (0.375)

To double check multiply 3/8 by 6 and you'll get 2.25 (2 1/4).

Keith opened a credit card and spent $55. Which of the following represents the situation?
5 points
A. Keith has +55 dollars
B. Keith has -55 dollars
C. Keith earned 55 dollars
D. Keith has a zero balance

Answers

Keith don’t have 55 dollars no more

Answer:

B

Step-by-step explanation:

I think B because he opened credit card and not yet deposit and then he spent $55.

A company is using the first two years of its profits to predict what will happen in the future. The profit, p(x), in millions, can be modeled by
the function p(x) =x^2 + 4x + 5, where x, represents the number of years after 2020



- In what year did the company have the largest profit and what was the amount?

Answers

Answer:

2022

9 million

Step-by-step explanation:

[tex]p(x) =-x^2 + 4x + 5[/tex]

To find the value of x when the maximum profit occurs, differentiate the function:

[tex]\implies p'(x)=-2x+4[/tex]

set it to zero and solve for x:

[tex]\implies p'(x)=0[/tex]

[tex]\implies -2x+4=0[/tex]

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

Therefore, the year in which the company had its largest profit was

2020 + 2 = 2022

Input found value of x into the function:

[tex]p(2) =-(2)^2 + 4(2) + 5=9[/tex]

Therefore, the amount was 9 million

TRANSFORMATIONS !!

The vertices of a trapezoid are shown below.

(0,6), (6,12), (6,9), (0,12)

Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2?

A . (2,8) B. (3,3) C. (3,6) D. (12,24)

Answers

Answer: C

Step-by-step explanation:

The parabola with equation y = a(x – 2)^2 + q passes through the points (-2,5) and (4, -1) Determine the coordinates of the vertex of the parabola.

please help! ​

Answers

Step-by-step explanation:

the standard form for a quadratic function is

y = ax² + bx + c

our parabola had the equation

y = a(x - 2)² + q

let's do the "math" :

y = a(x² - 4x + 4) + q = ax² - 4ax + 4a + q

so, we know (when comparing with the standard form)

b = -4a

c = 4a + q

for the vertex we need to find the axis of symmetry first by using the standard formula

x = -b/2a

which is in our case

x = -(-4a)/2a = 4a/2a = 2

to get y for this x we need to find a and q first.

we are using the given points for that :

5 = a(-2)² - 4a×(-2) + 4a + q

-1 = a(4)² - 4a×4 + 4a + q

the first equation then forms into

5 = 4a + 8a + 4a + q = 16a + q

the second equation forms into

-1 = 16a - 16a + 4a + q = 4a + q

let's subtract the second from the first equation

5 = 16a + q

- -1 = 4a + q

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

6 = 12a + 0

12a = 6

a = 1/2

-1 = 4a + q = 4×1/2 + q = 2 + q

q = -3

so, the original equation for our parabola is

y = 1/2 × (x - 2)² - 3

so y for the vertex (remember, x = 2) is

y = 1/2 × (2 - 2)² - 3 = 1/2 × 0 - 3 = -3

so the vertex is (2, -3)


Gabriella has 3 bottles of water.
Each bottle contains 500 ml of water.
Work out the total quantity of water.
Give your answer in litres.

Answers

Answer:

1.5 Liters

Step-by-step explanation:

500ml=0.5L

(0.5L)x3= 1.5L

Which is the range of the discrete function G(x)?
G(x) = {(1,2), (3, 2), (4, 5), (5,9), (7,2)}
O A. {1,2,3,4,5,7,9}
B. {1,3,4,7)
O C. {2,5,9}
D. {1,9}

Answers

The range of the discrete function is C- 2,5,9


On Monday Tom takes 15 minutes to walk one mile to school. On Tuesday
he takes 20 minutes to walk the same distance. Calculate his speed in mph
for each day's walk.

Answers

Answer:

Tom's speed (in mph) on Monday [tex]=4mph[/tex]

Tom's speed (in mph) on Tuesday [tex]=3mph[/tex]

Step-by-step explanation:

Using Speed distance time formula.

Tom's speed (in mph) on Monday

[tex]=Distance/time.[/tex]

[tex]=1/(15/60).[/tex] [By question statements, [tex]1hr=60min].[/tex]

[tex]=4mph[/tex]

Tom's speed (in mph) on Tuesday

[tex]=Distance/time.\\ =1/(20/60).[/tex][By question statements, [tex]1hr=60min].[/tex]

[tex]=3mph.[/tex]

Hence

Tom's speed (in mph) on Monday[tex]=4mph.[/tex]

Tom's speed (in mph) on Tuesday[tex]=3mph.[/tex]

I hope this helps you

:)

On Monday, The speed of Tom will be 4 mph.

On Tuesday, The speed of Tom will be 3 mph.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

On Monday Tom takes 15 minutes to walk one mile to school.

On Tuesday he takes 20 minutes to walk the same distance.

Now,

For Monday;

Tom takes 15 minutes to walk one mile to school.

Hence, Distance = 1 mile

Time = 15 minutes = 15/60 hour

Thus, Speed = Distance / Time

                    = 1 / (15/60)

                    = 60/15

                    = 4 mph

For Tuesday;

Tom takes 20 minutes to walk one mile to school.

Hence, Distance = 1 mile

Time = 20 minutes = 20/60 hour

Thus, Speed = Distance / Time

                    = 1 / (20/60)

                    = 60/20

                    = 3 mph

Thus, On Monday, The speed of Tom will be 4 mph.

On Tuesday, The speed of Tom will be 3 mph.

Learn more about the speed visit:

https://brainly.com/question/13943409

#SPJ2

Paul bought 4 DVDs for $9.95 each. What was his total cost?

Answers

Answer:

He bought 4 DVDs for $9.95 each, so $9.95*4=  $39.8 is his total cost.

Step-by-step explanation:

Answer:
39.8$
Step-by-step explanation:
Multiply 9.95$ with 4 and you will get your answer
9.95X4 equals to 39.8 dollars

Which type of data would be best displayed in a dot plot?

Answers

Answer:

the top one

Step-by-step explanation:

it has the least number

Answer:

A

Step-by-step explanation: i got it right

ln(r^2s^10 4√r^2s^10) is equal to Alnr+Blns Where A equals and B equals

Answers

[tex]\textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \ln\left( r^2s^{10}\sqrt[4]{r^2s^{10}} \right)\qquad \qquad \stackrel{\textit{let's for a second make}}{z = r^2s^{10}} \\\\\\ \ln\left(z\cdot \sqrt[4]{z} \right)\implies \ln\left(z\cdot z^{\frac{1}{4}} \right)\implies \ln\left(z^{1+\frac{1}{4}} \right)\implies \ln\left(z^{\frac{5}{4}} \right)[/tex]

[tex]\stackrel{\textit{and substituting back}}{\ln\left( \left[ r^2s^{10} \right]^{\frac{5}{4}} \right)}\implies \ln\left( r^{2\cdot \frac{5}{4}} ~~ s^{10\cdot \frac{5}{4}} \right)\implies \ln\left( r^{\frac{5}{2}}~~s^{\frac{25}{2}} \right) \\\\\\ \ln\left( r^{\frac{5}{2}} \right)~~ + ~~\ln\left( s^{\frac{25}{2}} \right)\implies \stackrel{A}{\cfrac{5}{2}}\ln(r)~~ + ~~\stackrel{B}{\cfrac{25}{2}}\ln(s)[/tex]

MAX POINTS
The 19% APR is the annual interest rate, but it is compounded monthly. What is the
monthly interest rate?

Other loan info (I don't know what all you need to calculate this)

The debt owed is 910$ and the minimum payments is 2.5% or ten dollars whatever is larger. Assume Zach is going to pay only the minimum. If he only pays minimum it would take him 154 months.

Answers

Answer:

Monthly rate: 19%/12 ≈ 1.5833%72 months to pay off the loan

Step-by-step explanation:

The monthly interest rate is the annual rate (APR) divided by 12.

  19%/12 ≈ 1.5833%

The loan will be paid in fewer than 91 months, because Zach will be paying at least $10 per month on his current balance of $910. The attached spreadsheet shows it will take 73 payments to pay off the loan.

Write the equation for the following relationships
x: 1/2, 0, 2
y: 4, 0, 16

please write in the y=mx+b formula

Answers

to get the equation of any straight line we simply need two points off of it, from the table [tex]\begin{array}{|cccc|ll} \cline{1-4} x&\frac{1}{2}&0&2\\ \cline{1-4} y&4&0&16\\ \cline{1-4} \end{array}[/tex] let's use the points of (0 , 0) and (2 , 16)

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{16}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{16}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{0}}}\implies \cfrac{16}{2}\implies 8 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{8}(x-\stackrel{x_1}{0})\implies y=8x[/tex]

Fernando had to pay $1.40 in sales tax when he purchased a shirt. If the sales tax rate is 7%, how much did his shirt cost? please show step by step

Answers

1.4 divided by 7 %

1.4 140
—— = ——
0.07 7

=20


i need help please thanks​

Answers

Answer:

127 degrees

Step-by-step explanation:

133 degrees it’s over 130 and count each line

how do i graph y=1/2+4

Answers

y=1/2+4

y=2+4

y=6

or

y=1/2+4

y=1/6

y=6

Those homeworks are so easy lmaøoo

Answer:

To graph the equation of a line written in slope-intercept (y=mx+b) form, start by plotting the y-intercept, which is the b value. The y-intercept is where the line will cross the y-axis, so count up or down on the y-axis the number of units indicated by the b value. From the y-intercept point, use the slope to find a second point. The numerator of the slope tells you how many units to move up or down from the intercept, and the denominator of the slope tells you how many units to move left or right in order to plot the second point. Connect the two points and draw arrows at either end to indicate that the line extends infinitely.

Step-by-step explanation:

Since the equation is in y=mx+B form, M is the value of we can use B as the Y_Intercept and M as the slope.

#LearningIsFun


HELP PLEASE-
NEED QUICK

Answers

Answer:

20 is A 3.7

21 is D 18.7

22 is C 8.8

23 is A 3.6

24 is D 11.6

25 is A 2.7

I hope this helps!!

Solve using log
Help would be much appreciated

Answers

Answer:

5.2812

Step-by-step explanation:

[tex]10^{x-3.6}-7=41[/tex]

Add 7 to both sides:

[tex]\implies 10^{x-3.6}=48[/tex]

Taking logs of base 10:

[tex]\implies \log_{10}10^{x-3.6}=\log_{10}48[/tex]

Apply log rule  [tex]\log a^b=b \log a[/tex]:

[tex]\implies (x-3.6)\log_{10}10=\log_{10}48[/tex]

Apply log rule [tex]\log_aa=1[/tex]:

[tex]\implies (x-3.6)\times 1 =\log_{10}48[/tex]

Simplify and solve:

[tex]\implies x-3.6=\log_{10}48[/tex]

[tex]\implies x=\log_{10}48+3.6[/tex]

[tex]\implies x = 5.281241237...[/tex]

[tex]10^{x-3.6}-7=41[/tex]

Use the rules of exponents and logarithms to solve the equation.

[tex]10^{x-3.6}-7=41[/tex]

Add 7 to both sides of the equation.

[tex]10^{x-3.6}=48[/tex]

Take the logarithm of both sides of the equation.

[tex]log(10^{x-3.6})=log(48)[/tex]

The logarithm of a number raised to a power is the power times the logarithm of the number.

[tex](x-3.6)log(10)=log(48)[/tex]

Add 3.6 to both sides of the equation.

[tex]x=log(48)-(-3.6)[/tex]

Solve by first finding [tex]log(48)[/tex] then subtract [tex](-3.6)[/tex] from the answer:

1. [tex]log(48)=1.6812412373755872181499834821531[/tex]

Now just solve the equation:

[tex]1.6812412373755872181499834821531 - (-3.6)=5.2812412373755872181499834821531[/tex]

Your answer is C. [tex]5.2812412373755872181499834821531[/tex] or [tex]5.2812[/tex]

Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 59(0.59)

Answers

This equation represents exponential decay. Whenever the base is less than 1, the function represents decay. When the base is greater than 1, the function represents growth. In this case, the base is .59 which is less than 1, representing decay.

Please help! 20 points thanks :)

Answers

Answer:

D) There is not enough info to tell (sike maybe not the asnwer)
B) b (bbbbbbbbbbb)

Step-by-step explanation:

SiiiKE, not D) I think but My first thought is D but I know it is not D unless it is another answer BUT I think it is B My final answer is B) b

Answer:
I think it’s B :)

which option does the following expression simplify to?
please help :)

Answers

♪Answer : (5b)^0= 5^0*b^0= 1*1= 1

»Option (A.)

Let find

5b^{0}

= 1

hope its helps

Okay

What is an equation of the line that passes through the points (6,2) and
(7, 1)?
(Giving brainliest )

Answers

[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{6}}}\implies \cfrac{-1}{1}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{-1}(x-\stackrel{x_1}{6}) \\\\\\ y-2=-x+6\implies y=-x+8[/tex]

Carson runs a farm stand that sells strawberries and bananas. Each pound of strawberries sells for $3 and each pound of bananas sells for $1.50. Carson sold 4 times as many pounds of strawberries as pounds of bananas and he made $135 altogether. Graphically solve a system of equations in order to determine the number of pounds of strawberries sold, x, and the number of pounds of bananas sold, y.

Answers

Answer:

3.33

Step-by-step explanation:

please help me with this question

Answers

Answer:

$37.50

Step-by-step explanation:

A rectangular room has a 10ft by 8ft rug in the center such that the distance from the edge of the rug to the wall is the same on all four sides. If the area of the room is 288 square feet, find the distance the rug is from the wall.

The answer I got was 13ft away, can someone check me on that?

Answers

Answer:

You are correct if rounding to the nearest whole number.

I got 12.69 so if you round up, you will get 13 (see below)

Step-by-step explanation:

X*Y = 288

(X-a)*(Y-a) = 10 * 8 = 80

X-a = 10

Y-a = 8

a = Y-8 = X-10

(X-10) * X = 288

X^2 - 10X = 288

X^2-10X-288= 0

quadratic equation

[tex]X = \frac{10 +/- \sqrt{100 - (4)(-288)} }{2}[/tex]

X =              (10 + 35.38)/2 =22.69 (technically it would have 2 answers, but we only want to evaluate the positive answer)

a = X- 10 = 22.69- 10 = 12.69 which would round up to 13 if you are rounding to the nearest whole number.

HOPE THIS HELPS!!!

A jet boat is used to take canoers 200 miles upriver to their starting point. As the driver of the jet boat,
Jeremy knows that it will take him 5 hours to get the canoers upstream, but only 4 hours to get the boat
back downstream after dropping the canoers off, as long as he keeps the boat moving at a constant speed.
How fast would the boat be moving in still water?
A
B
C
D
5 mph
40 mph
45 mph
50 mph

Answers

Answer:

The answer is D because if you go at a constant speed of 50 MPH for 4 hours you will have reached 200-mile mark at 4 hours

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

50mph

HELP AGAINN

5(2x+6) using x=4

Answers

Answer:

70

Step-by-step explanation:

Answer:

Step-by-step explanation:

Plugin x = 4 in the expression

5*(2x + 6 ) = 5*(2*4 + 6)

                 = 5* (8 + 6)

                 = 5 * 14

                  = 70

PLS HELP ILL GIVE BRAINLIEST!!!!!!!!

Answers

Answer:

It says it right there.

the answer that you need is 300

Step-by-step explanation:

Brainiest

Answer:

The height of the square pyramid is 150 inches

Step-by-step explanation:

[tex]volume \ of \ square \ pyramid = a^2 \frac{h}{3}[/tex]

[tex]450 = 3^2 \frac{h}{3}[/tex]

[tex]450 = 9( \frac{h}{3} )[/tex]

[tex]450 = 3( {h}{)[/tex]

[tex]450 = 3h[/tex]

[tex]h = 150[/tex]

Triangle 2 is a scale drawing of Triangle 1. Based on information in the diagram, what is the length of side b?
Urgent help pls.

Answers

Answer:

36.0

Step-by-step explanation:

45 / 10 = 4.5

8 * 4.5 = 36

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