Triangle cde maps to triangle lmn with the transformation (x,y) —> (x+3,y-2) —> (2/3x, 2/3y)
Of cd =9 what is lm?
Answers
The value of LM = 6.
Let's break down the given transformations for each point:
1. Original point: [tex]\( (x, y) \)[/tex]
2. First transformation: [tex]\( (x+3, y-2) \)[/tex]
3. Second transformation: [tex]\( \left(\frac{2}{3}(x+3)[/tex], [tex]\frac{2}{3}(y-2)\right) \)[/tex]
Now, if CD = 9 in the original triangle, LM can be found using the scale factor of [tex]\( \frac{2}{3} \)[/tex], as the second transformation involves scaling by [tex]\( \frac{2}{3} \)[/tex].
[tex]\[ LM = \frac{2}{3} \times CD \]\\LM = \frac{2}{3} \times 9 \]\\LM = 6 \][/tex]
Therefore, LM = 6.
Related Questions
Emma can sign up for two after-school activities. She can choose soccer, softball, or dancing, and she can choose drama, band, or drawing.
Which table shows all of her possible options?
Answers
The Declaration of Independence was signed on July 4, 1776. The United States celebrated the bicentennial on July 4, 1976. How much time was that
Answers
Please need some help on this
Answers
use distributive property to multiply 5(2a-7b-2) please show work?
Answers
First multiply everything in parenthesis by the number outside of the parenthesis.
[tex]5(2a - 7b - 2) 10a - 14b - 10[/tex]
Since you can't add/subtract numbers with differing variables, 10a - 14b - 10 is your final answer.
Final answer:
To multiply 5 by the expression (2a-7b-2), each term inside the parentheses is multiplied by 5, resulting in the final expression 10a - 35b - 10.
Explanation:
To use the distributive property to multiply 5(2a-7b-2), multiply each term inside the parentheses by 5.
Multiply 5 by 2a which gives 10a.
Multiply 5 by -7b which gives -35b.
Multiply 5 by -2 which gives -10.
Now, combine these results to get the final expression: 10a - 35b - 10.
Find the area of the triangle. (round to the nearest whole number)
Answers
============================================================
Explanation:
Check out the attached image. I've added in points A through D. The points A,B,C are the vertices of the largest triangle. Point D is directly below point A, and point D is on segment BC.
To find the area of the largest triangle ABC, we need the base length BC, which is broken up into segments x and y
x = length from C to D
y = length from D to B
Let's find x first
Triangle ADC is a right triangle, so we can use the pythagorean theorem
a^2 + b^2 = c^2
x^2 + 15^2 = 17^2
x^2 + 225 = 289
x^2 = 289 - 225
x^2 = 64
x = sqrt(64)
x = 8
Follow similar steps to find y
a^2 + b^2 = c^2
y^2 + 15^2 = 25^2
y^2 + 225 = 625
y^2 = 625 - 225
y^2 = 400
y = sqrt(400)
y = 20
Therefore
BC = x+y
BC = 8+20
BC = 28
The base of the triangle ABC is BC = 28 units
b = base
b = 28
The height is AD = 15
h = height
h = 15
We can now find the area of triangle ABC
Area = b*h/2
Area = 28*15/2
Area = 420/2
Area = 210
The area of the triangle is 210 square inches
Please help it is important 8 points
There are two squares, and the ratio of their perimeters is 5:8 If the area of the
first square is 225 , then what is the area of the second one?
Answers
(8/5)²×225 = 576
The second square has area 576.
if a right angle has a hypotenuse of 19 units and a leg with the length of 7 units, find the length of the other leg
Answers
Answer 17.6
which expression represents the area of the triangle drawn below?
The answer choices are in the photo.. PLEASE HELP!
Answers
Which expression represents the area of the triangle drawn below?
Base of the triangle=4x+2
Height of the triangle=2x+1
Area of triangle=[tex] \frac{1}{2} [/tex]*b*h
Area=[tex] \frac{1}{2} [/tex]*(4x+2)(2x+1)
Simplifying 4x+2 we get, 2(2x+1)
So, we have, Area=[tex] \frac{1}{2} [/tex]*2(2x+1)(2x+1)
Area=[tex] \frac{1}{1} [/tex]*1(2x+1)(2x+1)
=(2x+1)(2x+1)
FOILing the two we get, 2x*2x +2x*1 +1*2x+1*1
(2x+1)(2x+1)=4x²+2x+2x+1
Area=4x²+4x+1
So, Area of the triangle=4x²+4x+1
Answer:Option C
Answer:
It is C
Step-by-step explanation:
I just took the same quiz. I saw that this was the answer.
Hope this helps!
List all of the ways that a square can be correctly classified (or named) and Explain why each of the different names is also correct. one point will be given for each classification and explanation
Answers
A square is a parallelogram because it is a quadrilateral whose opposite sides are congruent (and parallel).
A square is a rhombus because it is a quadrilateral that has four congruent sides.
A square is a quadrilateral because it has four sides.
A square is a convex polygon because it is a closed figure with all interior angle measures less than 180.
what is the difference between the least number of minutes jumpes and the greatest minutes jumped?
Answers
Volume of a square based pyramid is 588 cubic inches the height of the pyramid is 9 inches what is the area of the base of this pyramid
Answers
volume of the pyramid=(1/3)*area of the base*height
volume=588 in³
height=9 in
area of the base=3*volume/height-----> 3*588/9---->196 in²
the answer is
196 in²
A cylindrical grain bin has a radius of 5 feet and a height of 29 feet. What is the surface area of the bin?
A. 1,067.6 ft2
B. 157 ft2
C. 910.6 ft2
D. 612.3 ft2
Hurry! pppplllleeeeeaaaasssseeeee!
Answers
To solve this you use the equation to find the surface area of a cylinder
[tex]SA = 2 \pi rh + 2 \pi r^{2} [/tex]
SA is surface area
r is radius
h is height
Put in the values you know and 3.14 for pi
SA = 2 * 3.14 * 5 * 29 + 2 * 3.14 * 5^2
SA = 1067.6
The answer is A)1,067.6ft squared
Hope this helps!
colin has a square garden with an area of 97 square feet feet. what is the length of each side of the garden
Answers
The length of one side of Colin's square garden, which has an area of 97 square feet, is approximately 9.85 feet.
Explanation:Colin has a square garden with an area of 97 square feet. The area of a square is calculated by squaring the length of one side (Side length * Side length = Area). Therefore, to find the length of one side of the square when you know the area, you would take the square root of the area.
In Colin's case, the area of the garden is 97 square feet, so the length of one side would be the square root of 97, which is approximately 9.85 feet.
Learn more about Square Roots here:https://brainly.com/question/1540542
#SPJ3
I need help with number 3 plzzz helpppppppppppppp
Answers
11.49 ÷ 10 = 1.149 (rounded to 1.50)
2 - pack of pencils for 2.78 is cheaper because 1 pack costs $1.39.
My good friends,for the second time in our history,a British prime minister has returned from Germany bringing peace with honor.i believe It is peace for our time... Go home and get a nice quiet sleep This statement reflects to the British belief that which of the following policies would prevent another war? A) containment B) imperialism C) appeasement
Answers
Bethanie recently used her cell phone to deposit a check. This is considered to be what type of electronic banking service?
Answers
the answer is transactional service
Answer:
Transactional service - APEX
Step-by-step explanation:
Help please........................
Answers
AC / DF = BC / EF
3 / 5 = 8 / 2x Cross multiply
3 * 2x = 5 * 8 Multiply
6x = 40 Divide by 6
x = 40 / 6
x = 6 4/6
x = 6 2/3
6 2/3 answer <<<<<<<
mr. martinez has 3 ice chests. he is placing 14 lunches in each ice chest. each lunch contains a sandwich, a bag of chips, and a drink. about 55% of these lunches contain a ham sandwich. which of the following is closest to the number of lunches that contain a ham sandwich?
Answers
42× the percent of the lunches which is 55% gives you 23.1
there are approximately 23 lunches that contain a ham sandwich √
The required number of lunch that contains 55% of ham sandwich is given as 23.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The total number of lunches is given as,
= 3 × 14
= 42 lunch in the 3 ice chests,
Now, 55% of the lunch consists the ham sandwich,
The number of lunch that contains the ham sandwich is given as,
= 0.55 × 42
= 23.1
≈ 23
Thus, the required number of the lunch that contains 55% of the ham sandwich is given as 23.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ5
given the formula E=IR what is the formula for R?
Answers
to isolate r we divide both sides by i
r=i/e (i over e)
A line passes through the point (2, 3) and has a slope of -2. Which is the equation of the line in point-slope form?
Answers
The correct answer is option B: [tex]\( y = -2x + 7 \).[/tex] To write the equation of a line passing through the point (2, 3) with a slope of -2, we can use the point-slope form of a linear equation.
The point-slope form is given as:
[tex]\[ y - y_1 = m(x - x_1) \][/tex]
Where [tex]\( (x_1, y_1) \)[/tex] is a point on the line and [tex]\( m \)[/tex] is the slope.
Given that the point is [tex]\( (2, 3) \)[/tex] and the slope is [tex]\( -2 \)[/tex], we can substitute these values into the point-slope form:
[tex]\[ y - 3 = -2(x - 2) \][/tex]
Now, we can simplify and rewrite the equation in various forms to match the options provided:
Option A: [tex]\( 2x + y = 7 \)[/tex]
To match this option, let's rearrange the equation:
[tex]\[ y - 3 = -2(x - 2) \][/tex]
[tex]\[ y - 3 = -2x + 4 \][/tex]
[tex]\[ 2x + y = 7 \][/tex]
So, option A is equivalent to the given equation.
Option B: [tex]\( y = -2x + 7 \)[/tex]
Let's solve the equation for [tex]\( y \):[/tex]
[tex]\[ y - 3 = -2(x - 2) \][/tex]
[tex]\[ y - 3 = -2x + 4 \][/tex]
[tex]\[ y = -2x + 7 \][/tex]
This matches option B.
Option C: [tex]\( y - 3 = -2(x - 2) \)[/tex]
This is already in point-slope form and matches the given equation.
Option D: [tex]\( y = -\frac{1}{2} x + 5 \)[/tex]
Let's solve the equation for [tex]\( y \):[/tex]
[tex]\[ y - 3 = -2(x - 2) \][/tex]
[tex]\[ y - 3 = -2x + 4 \][/tex]
[tex]\[ y = -2x + 7 \][/tex]
This does not match option D.
Therefore, the correct answer is option B: [tex]\( y = -2x + 7 \).[/tex]
The complete question is:
A line passes through the point (2, 3) and has a slope of -2. Which is the equation of the line in point-slope form?
A) 2x + y = 7
B) y = -2x + 7
C) y - 3 = -2(x - 2)
D) y = - 1 2 x + 5.
Determine the sum: (14abc2 + 12a2b + 16b2c) + (−3abc2 + 2b2c).
11abc2 + 12a2b + 18b2c
11a2b2c4 + 12a2b + 18b4c2
41a4b7c6
42a3b4c3 − ab3c3
Answers
14abc^2-3abc^2 is 11abc^2
12a^2b + 0 = 12a^2b
16b^2c +2b^2c = 18b^c
1.Bill and Lisa are surveying their classmates about their summer reading. Their questions are given below:
Bill: How many books were recommended by the book reading club for summer?
Lisa: Which was your favorite book from the book reading club's recommendation?
Who wrote a statistical question and why?
Bill, because there will be variability in the responses collected
Lisa, because there can be only one answer to the question
Bill, because every student will give the same answer
Lisa, because there can be many answers to the question
2.Tammy did a survey to answer the following question:
What is the average reading score of grade 6 students?
The mean reading score was 4.5 points. If all the students scored the same, what would be the reading score of each student?
4.5 points
Less than 4.5 points
Greater than 4.5 points
Cannot be determined
WILL GIVE BRAINLIEST
Answers
2) 4.5 points.
1. The student that wrote a statistical question is Lisa. This is because there can be many answers to the question
2. The score of each student is: 4.5 points.
What is a Statistical Question?A statistical question is a question whose answer can be gotten by collecting data that has variability. That is, the answers to the question may be many.
1. The question that is more statistical in nature is Lisa's. This is because there can be many answers to the question
2. The average of a data is the mean, which is the sum of all data points divided by the number of data points.
Therefore, if all students had the same score and the mean score was 4.5, it means the score of each student is: 4.5 points.
Learn more about statistical question on:
https://brainly.com/question/12150562
#SPJ2
The difference between eight times a number and three is equal to negative nineteen. What is the number?
A.2
B.-2
C.-3
D.3
Answers
Eight times a number
8 * -2 = -16
The difference between eight times -2 and 3
- 16 - 3 = -19
What are the solutions of the equation x^2 - 7x -8= 0? Complete the square.
Answers
x = 8 , − 1
the solutions to the equation [tex]\( x^2 - 7x - 8 = 0 \)[/tex] are ( x = 8 ) and ( x = -1 ).
To solve the quadratic equation[tex]\( x^2 - 7x - 8 = 0 \)[/tex]by completing the square, we follow these steps:
1. Move the constant term to the other side of the equation:
[tex]\[ x^2 - 7x = 8 \][/tex]
2. To complete the square, take half of the coefficient of ( x ) (which is -7), square it, and add it to both sides of the equation:
[tex]\[ x^2 - 7x + \left( \frac{-7}{2} \right)^2 = 8 + \left( \frac{-7}{2} \right)^2 \]\[ x^2 - 7x + \frac{49}{4} = 8 + \frac{49}{4} \][/tex]
3. Simplify the right side of the equation:
[tex]\[ x^2 - 7x + \frac{49}{4} = \frac{32}{4} + \frac{49}{4} \]\[ x^2 - 7x + \frac{49}{4} = \frac{81}{4} \][/tex]
4. Write the left side of the equation as a perfect square:
[tex]\[ \left( x - \frac{7}{2} \right)^2 = \frac{81}{4} \][/tex]
5. Take the square root of both sides to solve for ( x ):
[tex]\[ x - \frac{7}{2} = \pm \sqrt{\frac{81}{4}} \]\[ x - \frac{7}{2} = \pm \frac{9}{2} \][/tex]
6. Solve for ( x ) by adding [tex]\( \frac{7}{2} \)[/tex]to both sides:
[tex]\[ x = \frac{7}{2} \pm \frac{9}{2} \][/tex]
This gives us two solutions:
[tex]\[ x = \frac{7}{2} + \frac{9}{2} = \frac{16}{2} = 8 \]\[ x = \frac{7}{2} - \frac{9}{2} = \frac{-2}{2} = -1 \][/tex]
So, the solutions to the equation [tex]\( x^2 - 7x - 8 = 0 \)[/tex] are ( x = 8 ) and ( x = -1 ).
Shelley purchased a home in Maryland Heights, MO, for $204,000. Her down payment was 20% of the cash price, and she obtained a mortgage for 20 years at 7%. What's Shelley's monthly payment?
Answers
where
[tex]P[/tex] is the payment
[tex]PV[/tex] is the present debt
[tex]r[/tex] is the interest rate in decimal form
[tex]n[/tex] is the number of payments per year
[tex]t[/tex] is the time in years
Since she paid 20% of the value of the home, [tex]PV=204000-(240000)20[/tex]%=163200
Now, to convert the interest rate to decimal form, we are going to divide the rate by 100% [tex]r= \frac{7}{100} =0.07[/tex]. Since we are finding Shelly's monthly payment and a year has twelve months, [tex]n=12[/tex]. We also know that [tex]t=20[/tex], so lets replace those values in our formula:
[tex]P= \frac{ \frac{r}{n}(PV)}{1-(1+ \frac{r}{n})^{-nt} } [/tex]
[tex]P= \frac{ \frac{0.07}{12}(163200)}{1-(1+ \frac{0.07}{12})^{-(12)(20)} } [/tex]
[tex]P=1265.29[/tex]
We can conclude that Shelly's monthly payment is $1265.29
What is the exact volume of a cylinder with a base height of 30, and a radius of 13
Answers
V = [tex] \pi [/tex][tex] r^{2} [/tex]h.
V = [tex] \pi [/tex][tex] (13)^{2} [/tex]x30
V = [tex] \pi [/tex] x 169 x 30 = [tex] \pi [/tex] 5070
Hope this helps!
(btw if it asks for "exact" anything, leave the pi. Pi is the ratio of the circumference to its diameter, so not every circle will have a pi of 3.14.)
Is 3(2+4)=(3x2)+(3x4) associative,distributive,or communitive property
Answers
ASSOCIATIVE PROPERTY!
~Hope That Helped!~
~Izzy!~
Evaluate the numerical expression.
3.8 − 4.8 ÷ 0.4 − 2.4
Answers
1)4.8:0.4=48:4=12
2)3.8-12= - 8.2
3)-8.2-2.4= - 10.6
3.8 - (4.8 / 0.4) - 2.4 =
We can use PEMDAS to find our answer, which means we have to divide first.
3.8 - 12 - 2.4 =
Our next step is to subtract, from left to right.
-8.2 - 2.4 =
Subtract again.
- 10.6
Now we've found our answer.
~ Hope this helps you!
Piecewise function help!
Answers
Graph top right is for x>2
The slated graph is -3
There are four red bicycle helmets in a bin. If a helmet is selected without looking, what is the probability that the helmet is red?
A 1/4
B 1/3
C 4/4
D 3/4
Answers
Given that all helmets in the bin are red, the probability of randomly selecting a red helmet is 1, which corresponds to answer C.
Explanation:The question is asking for the probability that a randomly selected helmet from a bin of four is red. Since all the helmets in the bin are red, no matter which one you pick, it will be red. In probability, this is represented as the total number of favorable outcomes divided by the total number of outcomes. In this scenario, both favorable outcomes (red helmets) and total outcomes (helmets in the bin) are four. Mathematically, 4/4 results in 1. So, the correct answer is C which symbolize the probability to be 1.
Learn more about Probability here:https://brainly.com/question/32117953
#SPJ12