solve similar triangles (advanced)

Solve Similar Triangles (advanced)

Answers

Answer 1

Answer:

  x = 9/4

Step-by-step explanation:

Locate point G on segment DE so that DG = 1 and GE = 4. CG is parallel to AD, so ΔCGE ~ ΔABC. Corresponding sides are proportional.

  AB/BC = CG/GE

  x/1 = 9/4

  x = 9/4

_____

Additional comment

Using the given triangles, you can write the proportion statement as ...

  (9+x)/x = 5/1

We judge this to take more steps to solve, so we prefer the method shown above.


Related Questions

Which equation represents the vertical line passing through (14,-16)?.

Answers

The vertical line shall have its x-coordinate equal to 14 because the points (14, -16) is on this vertical line.

Given the following data:

Points (x, y) = (14, -16)

To find an equation of the vertical line that passes through the given points (14, -16):

The standard form of an equation of line is given by the formula;

[tex]y=mx+b[/tex]

Where:

x and y are the points.m is the slope.b is the intercept.

For any equation of a straight line, the x-coordinate of a vertical line will always be the same irrespective of the point chosen on the vertical line. because a vertical line is perpendicular to the x-axis.

Deductively, the vertical line shall have its x-coordinate equal to 14 because the points (14, -16) is on this vertical line.

Read more: https://brainly.com/question/2707920

Simplify the expression. Write your answer as a power.
4.5^5/4.5^3
The simplified expression is

Answers

When you have the same base buy different exponents, subtract the exponents:
5-3=2
4.5^2

please answer i'll mark brainliest

Answers

Answer:

X=-10 Y=-3

Step-by-step explanation:

A rectangular poster is 3 times as long as it is wide. A rectangular banner is 5 times as long
the banner and the poster have perimeters 24 inches. What are the lengths and of widths of the poster and the banner?

Answers

Rectangular Poster:

Length = 9

Width = 3

Rectangular Banner:

Length = 10

Width = 2

Hope this is helpful!

Can someone please help?

Answers

Answer:

Well a midpoint makes the cutter segment or Line in exactly in half. So the two lines cutted are equal. In this case t is the midpoint. PT and TQ are equal. So you have two expressions, make then equal to each other since they are congruent.

6x+4=8x-8

12=2x

x=6

Now PT is 6x+4

So we subsitute x for 6 since x=6

6*6+4

40

PT is 40

Jordan invests £16200 into his bank account.
He receives 2.5% per year simple interest.
How much will Jordan have after 5 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

18225

Step-by-step explanation:

16200*0.025*5=2025

2025+16200 = 18225

For f(x) = -1/5x - 14 find x when f (x) = -8

Answers

Hi!

30 = x

f(x) = -1/5x - 14 find x when f (x) = -8

Set the equation equal to -8

-8 = -1/5x - 14

Add 14 to both sides.

6 = -1/5x

Multiply both sides by -5.

30 = x

Hope this helps! :D

What is the domain and range

Answers

Answer:

Step-by-step explanation:

Domain means what x's are on this graph, or what x's can you put into this equation. Range means what y's are in this graph or what y's can you get out if this equation. For y=x you can literally put in any x and get out any y, so the domain and range are both all real numbers. I couldn't see the choices on your drop down and there's several ways to write "all real numbers" as an answer. The absolute value graph y=|x| is a V-shaped graph so again, you can put in any x, but you only get positive numbers out (and 0, if you input 0) so the range us just all the y's that are 0 and bigger. That is y>=0. Again, there are several ways to write that such as {y | y>=0} or [0, infinity symbol)

numbers in order from least to greatest?

35%, 3/5, 0.27, 2/7

Answers

Answer:

0.27, 2/7, 35%, 3/5

Step-by-step explanation:

I need these answers in 5 MINUTES PLZ HELP

Answers

Answer: 1.  w=-30%

              2.   c=361

Step-by-step explanation: 1.    15+15=30       2.      a looks the same size as c so c is 361 or same as a

After a power failure, the temperature in a freezer increased at an average rate of 3.5 °F per hour. The total
increase was 10.5 °F. Enter and solve an equation to find the number of hours until the power was
restored. Let x represent the number of hours it takes for the temperature to increase to 10.5 °F.

Answers

x=hours

7.5=2.5x

3=x

x=3

3 hours until the power was restored

A laptop is 30% off the regular price of 920$ If a 6% sales tax is added to the cost what is total cost of the laptop

Answers

Answer

If we had a sale price of 30% off of $1,050then the sale price is 70% of $1,050 or 0.7(1050) Then we add 7% sales tax to that making thefinal price paid 107% of [0.7(1050)] ... 1.07[0.7(1050)] = $786.45

One research study of illegal drug use among​ 12- to​ 17-year-olds reported a decrease in use​ (from 11.4% in​ 1997) to ​9.8% now. Suppose a survey in a large high school reveals​ that, in a random sample of 1046 ​students, report using illegal drugs. Use a 0.05 significance level to test the​ principal's claim that illegal drug use in her school is below the current national average.

Answers

Using the z-distribution, it is found that since the test statistic is more than the critical value for the left-tailed test, it is found that there is not enough evidence to conclude that illegal drug use in her school is below the current national average.

At the null hypothesis, it is tested if drug use in her school is not below the national average, that is:

[tex]H_0: p \geq 0.098[/tex]

At the alternative hypothesis, it is tested if it is below, that is:

[tex]H_1: p < 0.098[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.

93 out of 1046 reported using illegal drugs, hence the parameters are:

[tex]n = 1046, \overline{p} = \frac{93}{1046} = 0.0889, p = 0.098[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.0889 - 0.098}{\sqrt{\frac{0.098(0.902)}{1046}}}[/tex]

[tex]z = -0.99[/tex]

The critical value for a left-tailed test, as we are testing if the proportion is less than a value, is [tex]z^{\ast} = -1.645[/tex]

Since the test statistic is more than the critical value for the left-tailed test, it is found that there is not enough evidence to conclude that illegal drug use in her school is below the current national average.

To learn more about the use of the z-distribution to test an hypothesis, you can take a look at https://brainly.com/question/25584945

Does (2, –2) make the equation y = –2x + –2 true?

Answers

Answer: no it doesn’t because -2 doesn’t equal to -6

Step-by-step explanation:

all you have to do is plug 2 for x value and -2 for y

-2= -2(2)+ -2

so -2= -4+ -2 and -4+ -2 is -6

therefor -2 doesn’t equal to -6

How do I solve this

Answers

D is the correct answer

(a) A straight line L, whose equation is 3y - 2x = -2 meets the x-axis at R Determine the co-ordinates of R.

Answers

Answer:

(1 , -2/3)

Step-by-step explanation:

when y =0

3×0-2x=-2

0-2x=-2

divide both side by -2

x=1

when x=0

3y-2×0=-2

3y-0=-2

divide both side by 3

y=-2/3

Eva took a taxi from her house to the airport. The taxi company charged a pick-up fee of $4.10 plus $0.50 per mile. The total fare was $9.60, not including the tip. Write and solve an equation which can be used to determine mm, the number of miles in the taxi ride.

Answers

Here we must write and solve a linear equation to find the number of miles that Eva traveled in the taxi. We will find that Eva traveled 11 miles.

So we know that the taxi charges a fee of $4.10 and then a plus of $0.50 per mile.

So if you travel for m miles, the cost equation is:

C(m) = $4.10 + $0.50*m

Now, we know that for Eva the total fare (total cost) was $9.60, then we need to solve:

$9.60 = C(m) = $4.10 + $0.50*m

$9.60 = $4.10 + $0.50*m

$9.60 - $4.10 = $0.50*m

$5.50 = $0.50*m

$5.50/$0.50 = m = 11

This means that Eva traveled 11 miles in the taxi.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/19045223

Answer:

11

Step-by-step explanation:

1 1/3 x 5 Multiply and answer with a mixed number in the simplest form.

Answers

Answer:

The answer is 55/3

Step-by-step explanation:

11 should be divided by 3 and 5 should be multiplied later..

Write an equation for the perimeter of the rectangle

Answers

Answer:

Area = 2(5x - 4) + 2(5x)

Step-by-step explanation:

Perimeter is the sum of twice the width and twice the length of the rectangle. And since the question is asking us for an equation, we need to write, Area = 2(5x - 4) + 2(5x). When you are required to find the value of x with a given area, just plug that area into the equation, distribute, and simplify to get x.

2(5x)+ 2x(4+5)

You can say that!! What grade level is this

It is a Saturday morning, and Jeremy has discovered he has a leak coming from the water heater in his attic. Since plumbers charge extra to come out on weekends, Jeremy is planning to use buckets to catch the dripping water. He places a bucket under the drip and steps outside to walk the dog. In 20 min, the bucket is 1/8 of the way full. What is the rate at which the water is leaking per hour? and what is the longest time he can be away from the house before the bucket will overflow?

Answers

Step-by-step explanation:

You start by asking yourself or as I call it crossmultiply

if 20 min the bucket is 1/8 full what about 8/8 or a whole

20×8/8×1/8

=160 min or 2.6 hrs

Answer:

[tex]2\frac{1}{2} hours[/tex]

Step-by-step explanation:

What is the rate at which the water is leaking per hour?

rate: [tex]\frac{1}{5} buckets = \frac{1}{5}/ \frac{1}{2} buckets/ hr\\ ----\\\frac{1}{2} hour = \frac{2}{5} buckets/ hr[/tex]

Write an equation that represents the relationship between the number of buckets filled, , in hours.

[tex]y=\frac{2}{5}x[/tex]

What is the longest that Jeremy can be away from the house before the bucket will overflow?

[tex]\frac{5}{2}[/tex] or  [tex]2\frac{1}{2} hours[/tex]

please help due any minute

Answers

Answer:

A the system has no solution

Step-by-step explanation:

Simplifying 2x + -5y = -8

Solving 2x + -5y = -8

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5y' to each side of the equation. 2x + -5y + 5y = -8 + 5y

Combine like terms: -5y + 5y = 0 2x + 0 = -8 + 5y 2x = -8 + 5y

Divide each side by '2'. x = -4 + 2.5y Simplifying x = -4 + 2.5y

Solution for 2x-5=12 equation:

2x - 5 = 12

2x = 12 + 5

2x = 17 (divide both sides by 2 to get x)

2x/2 = 17/2

x = 8.5

the output is two more than the input

Answers

By definition, the inputs in a function have only one output. The input 1 has two outputs: 0 and 5. The relation is not a function.

A car is traveling at a steady speed. It travels 2 1/2 miles in 3 1/3 minutes. How far will it travel in ​21 minute? In ​1 hour?

Answers

15 3/4 miles in 21 minutes
45 miles in an hour
hope this is helpful!

11. A bank teller has a total of 124 bills in five-dollar bills and ten-dollar bills. The total value of the
money is $840. How many ten-dollar bills does she have?

Answers

From my understanding, there are 124 5 dollar bills which would equal $620.

The total money of the value is $840 then you would subtract. $840-$620=$220.

Divide that by ten so, $220/10= 22.

She has 22 ten dollar bills.

The scatter plot shows the number of minutes since several celebrities have posted a photo compared to the number of likes the photo has received. If a celebrity posted a photo 6.5 minutes ago, which is the best prediction of the number of likes it has received?

Answers

Answer:

is there a photo of a scatter plot?

Step-by-step explanation:

A swim team with 41 members decided to buy T-shirts that cost $15.75 each. 3. ___
What was the cost of the 41 T-shirts?

Answers

Answer:

The total cost would be $645.75

Explanation:

Multiply $15.75 by 3
41

..............................

Answers

Answer:

A rational number is a number that doesn't terminate or repeat

a non rational number is a number that terminates or repeats

so she basicelly got mixed up

Hope This Helps!!!

If -11 + N = -11, then N is the
a. additive identity
b. additive inverse
c. multiplicative inverse
d. multiplicative identity

Answers

Answer:

Step-by-step explanation:

eeuduehuheuhd  hbu h

one more time what 4 + 4 × 4 + 4 ÷ 4=

Answers

Answer:

I think probably 21

Step-by-step explanation:

4+16+1 = 21

60 points!!! Please answer immediately and the entire page please I will also give you five stars

Answers

Answer:

Step-by-step explanation:

9.  Correct, D

-3Y + 9X <= 12

3Y - 9X => -12

3Y => -12 + 9X  

Y => -4 + 3X  

10.  D

11.  D

12.  Correct, B

13.  Correct, E

14.  A

15.  B

Other Questions
2- What is the kinetic energy in (N.m) and Joules of a 4Kg bowling ball rolling down abowling lane at 10 m/s? compare this energy with that of a 250g baseball traveling 50m/s. which object would hurt more if it hit you (i.e., which object has the greater kineticenergy)? the largest part of the brain. this part receives sensory messages. it acts as the center of emotions, consciousness, learning and voluntary movement. which standard, on-the-job practice states that the blood and certain bodily fluids of all patients are considered potentially infectious for hiv, hepatitis b, and other blood-borne pathogens? Write the following equations. A wave has a frequency of 2700 Hz and of 6m. Calculate the speed of the wave.pls help help i cant do this i need this ASAP Both Moctezuma II and The End of the Aztec Empire show Moctezuma being taken prisoner by Corts. Write an informational essay about how Moctezuma was captured. Can you answer these 3 questions? I just really need help, i am doing a major test and need help!!!! How did Paul Revere and others alert the Massachusetts militia about the approaching British soldiers?How do the photo and caption above help you understand the events described in the text? Is Paul Revere an important figure in American history? Why or why not? cloning an individual usually produces organisms that How does this passage reflect the British reaction at the end of World War I? It claims that Germany has been treated unfairly. It calls for a harsher punishment for Germany. It demands recognition for the British role in the war. It explains that the treaty will effectively prevent future wars. Astatine-218 has a half-life of 1.6 seconds. If you begin with a 1.7 g sample of astatine-218, how much of the sample remains after 3.2 seconds? Complete the equation of the line through (-1,6)(1,6)left parenthesis, minus, 1, comma, 6, right parenthesis and (7,-2)(7,2)left parenthesis, 7, comma, minus, 2, right parenthesis. What is the equation of the line that passes through the point (-6, -6) and has aslope of -1/3? OD A lizard is an ancestor of a frog.3. Trilobite fossils have been found in rock that is 521 million years old. They have also beenfound in rocks that are more than 252 million years old. Trilobite fossils have not been found inyounger or older rocks. What does this tell you!(Mark the one best answer.)Trilobites became extinct 252 million years ago.BTrilobites became extinct 521 million years ago.C Trilobites lived on Earth for 252 million years.O D Trilobites lived on Earth more than 521 million years ago Given 7 is one of the roots of the quadratic equation(x + k)2 = 16, where k is a constant, find the values of k. Joe and Zoya are lawyers. They have agreed upon starting a law firm, where they intend to share the profits and losses in the ratio of 3:2. What is this business ownership known as?a. partnershipb. sole proprietorshipc. corporationd. limited company what is10 + 9 i really dont know can someone help me suppose you want to change your school and join another one which is very expensive.make a list of the possible risks while joining another school. The table shows a function. Is the function linear or nonlinear? Do family psychologists help couples?