The composition of similarity transformations that maps Triangle LMN to TriangleL'M'N is a dilation with a scale factor less than 1 and then a reflection. Opion A. This is further explained below.
Which composition of similarity transformations maps TriangleLMN to TriangleL'M'N'?Generally, In the case of a reflection across the y-axis, the y-coordinate of a point stays the same but the x-coordinate is changed into its inverse.
Triangle LMN has the coordinates (2, 1), (1, 1), and (1, 3).
(-4,-4) (-3,-4) (-3,-2).
In conclusion, Assuming that the coordinates (2, 1), (1, 1), and (1, 3) of Triangle LMN. This is the translation 5 units down (x,y-5): Two units to the right (x+2, y-5) of the coordinates (2,-4), (1,-4), and (1,-2): (4, -4), (3, -4), (3, -2)
It is a reflection along the y-axis, with coordinates of (-4,-4) and (-3,-4) (-3,-2)
Therefore, Triangle L'M'N' is the result of the transformation sequence in Option A.
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Answer: a
Step-by-step explanation:
i got it right on the test
Nora's savings account has a balance of $3979. After 4 years, what will the amount of interest be at 12% compounded semiannually?
Answer:
$7798.84
Step-by-step explanation:
please mark brainliest if correct
What is the solution to the linear equation? 2.8y 6 0.2y = 5y – 14 y = –10 y = –1 y = 1 y = 10
The solution of the linear equation 2.8y+6+0.2y=5y-14 is y=10.
Given linear equation 2.8y+6+0.2y=5y-14 and we have to find the solution of the equation.
An equation is relationship between two or more variables which is expressed in equal to form. It is solved in order to find the values of variables. Equation of two variables look like ax+ by=x.
The given linear equation is 2.8y+6+0.2y=5y-14 which can be solved as under:
2.8y+6+0.2y=5y-14
We have to add the coefficients of same variables. Coefficients are the numbers which are present with the variable.
3y+6=5y-14
We have to take same variables at one side.
3y-5y=-14-6
-2y=-20
y=-20/-2
y=10
Hence the solution of the linear equation 2.8y+6+0.2y=5y-14 is y=10.
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5. a. Three metal rods of lengths 234cm, 270cm and 324cm were cut into shorter pieces, all of the same length to make window grills. Calculate the length of the longest piece that can be cut from each of the rods and hence the number of pieces that can be obtained from the rods.
Answer:
Step-by-step explanation:
you find the L.C.M
18 234 270 324
13 13 15 18
3 1 15 18
5 1 5 6
6 1 1
1 1 1 ans=18×13×3×5×6=21060
y-20 = 0.75(x-4) solve for y
Answer:
y = 0.75x + 17
Step-by-step explanation:
y - 20 = 0.75(x-4)
y - 20 = 0.75(x) + 0.75(-4)
y - 20 = 0.75x -3
y = 0.75x -3 + 20
y = 0.75x + 17
y - 20 = 0.75(x - 4) |add 20 to both sides
y = 0.75(x - 4) + 20we can simplified equation:
use the distributive property: a(b + c) = ab + ac
y = 0.75x - 0.75 · 4 + 20
y = 0.75x - 3 + 20
y = 0.75x + 17An outlier is a data value that is numerically distant from ________ of the other data points in a set of data
In the statement regarding outlier we have to fill "most" to complete the statement.
Given An outlier is a data value that is numerically distant from_________ of the other data points in a set of data.
We have to fill the blank. We can fill " most" in the blank.
If a number in data is more than 1.5 times the length of the box away from either of the upper and lower quartile of the distribution then that number is said to be an outlier.
There are two types of outliers: upper outliers, lower.
If any values in the data set are greater than the upper boundary then those values are the upper outliers.
If any values in the data set are less than the lower boundary then those values are called lower outliers.
Lower quartile =[tex]Q_{1}-1.5*IQR[/tex]
Upper quartile=[tex]Q_{3}+1.5*IQR[/tex]
Hence we have to use most in the sentence to complete it.
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Which fraction has the largest value? Select the correct answer
Answer:
7/8 =0.875
Step-by-step explanation:
7/8 =0.875
4/5 =0.8
3/4 =0.75
Answer:
3/4
Step-by-step explanation:
Because if you had a Fraction Strip. 7/8 is a small Rectangle and 3/4 is a bigger Rectangle than 7/8. Look here: https://toytheater.com/fraction-strips/
Jaylen and ken started jogging from the same place in the opposite directions along a straight path. jaylen's speed was 30 m/min faster than ken's speed. both of them did not change their speeds throughout the jog. at the end of the jog, they were 13.6 km apart. jaylen jogged 2.4 km more than ken. what was ken's average speed?
The average speed of Ken is 70 m/min. Using the relation between the speed and distance, the required speed for Ken is calculated.
What is the relation between speed and distance?The relationship between speed S and distance D with a period T is formed as
S = D/T
Units: m/sec (basic unit)
Calculation:Given that,
Jaylen and Ken started jogging from the same place in opposite directions along a straight path.
This means, that the sum of distances traveled by both of them in opposite directions = 13.6 km (since it is given that at the end of their jogging, they are 13.6 km apart)
Consider,
The distance traveled by Jaylen = x km
Then the distance traveled by Ken = x - 2.4 km (since Jaylen jogged 2.4 km more than Ken)
Step 1: Finding the distance traveled by them:
x + x - 2.4 = 13.6
⇒ 2x = 13.6 + 2.4
⇒ 2x = 16
⇒ x = 8 km
So, the distance travelled by Jaylen = 8 km and by Ken = 8 - 2.4 = 5.6 km
Step 2: Finding the average speed traveled by Ken:
Since it is given that,
Jaylen's speed was 30 m/min faster than Ken's speed.
So,
For 30 m, the time = 1 min
then for 2.4 km i.e., 2400 m, the time = 80 min.
Therefore,
the average speed of Ken S = D/t
⇒ S = 5600 m / 80 min
∴ S = 70 m/min.
So, the average speed of Jaylen will be 70 m/min + 30 m/min = 100 m/min.
Thus, the average speed of Ken is 70 m/min.
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What is the expression of g(x) when we perform the following sequence of transformations onto the parent function fx=x2:
a) Shift right 1 unit;
b) Compress horizontally by a factor of 2
The expression of function g(x) is [tex](\frac x2 - 1)^2[/tex]
How to determine the expression?The function is given as:
[tex]f(x) = x^2[/tex]
When the function is shifted right by 1 unit, the rule is:
f'(x) = f(x - 1)
So, we have:
[tex]f(x) = (x - 1)^2[/tex]
When the function is compressed horizontally by a factor of 2, the rule is:
f'(x) = f(x/2)
So, we have:
[tex]g(x) = (\frac x2 - 1)^2[/tex]
Hence, the expression of function g(x) is [tex](\frac x2 - 1)^2[/tex]
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What is the measure of angle CED?
There are two triangles labeled ABC and DCE with a common vertex C. In triangle ABC, angle BAC is labeled as p, and angle ABC is labeled as 70 degrees. In triangle DCE, angle CDE is labeled as 70 degrees.
please help!!!
Answer Choices- p over 2, because Triangle ABC is congruent to triangle DCE
p + 70 degrees, because Triangle ABC is similar to triangle DCE
110 degrees − p, because Triangle ABC is congruent to triangle DCE
p, because Triangle ABC is similar to triangle EDC
Answer:
p, because Triangle ABC is similar to triangle EDC
Step-by-step explanation:
Angles DCA and DCE are vertical, so they are congruent.
Angles ABC and CDE measure 70°, so they are congruent.
Triangles BCA and DCE are similar by AA Similarity.
By corresponding angle of similar triangles, angles CED and BAC are congruent.
m<BAC = p
m<CED = m<BAC = p
m<CED = p
D=
Help me please thank you:)
Step-by-step explanation:
since DE is parallel to the diameter RS, D and E are just a transformation of R and S, where R and S slid up the same distance on the circle arc.
therefore, RD = SE.
and therefore d is half of the supplementary angle to the angle DE (that means together the angle DE and the supplementary angle are 180°).
so,
d = (180 - 50)/2 = 130/2 = 65°
Jin has $0.20 worth of pennies and nickels. He has a total of 12 pennies and nickels altogether. By following the steps below, determine the number of pennies, x, and the number of nickels, y that Jin has.
The number of pennies, x, and the number of nickels, y that Jin has is 10 and 2 respectively.
Pennies and nickelsA penny = $0.01A nickel = $0.05number of pennies = xNumber of nickels = yThe equation:
x + y = 12
0.01x + 0.05y = 0.20
from (1)
x = 12 - y
substitute 12-y into (2)
0.01x + 0.05y = 0.20
0.01(12 - y) + 0.05y = 0.20
0.12 - 0.01y + 0.05y = 0.20
- 0.01y + 0.05y = 0.20 - 0.12
0.04y = 0.08
y = 0.08/0.04
y = 2
substitute y = 2 into (1)
x + y = 12
x + 2 = 12
x = 12 - 2
x = 10
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A fish tank with a rectangular base has a volume of 3360 cubic inches. the length of the tank is 14 inches and the width is 12 inches. the height of the tank is 20 inches. if one fluid ounce is 1.8 cubic inches how much water will the tank hold ? your answer should be in gallons.
Answer:
14.58 gallons
Step-by-step explanation:
The tank volume is 3360 in^3, which is the product of the base x length x height (14)(12)(29) = 3360 in^3.
We are given a conversion factor: 1 fluid oz = 1.8 in^3
We can write this as (1 fluid oz)/( 1.8 in^3).
Use this conversion factor to confert volume to fluid oz:
(3360 in^3)*((1 fluid oz)/( 1.8 in^3)) = 1867 fluid oz
There are 128 fluid oz/gallon. Make this into a conversion factor:
(1 gallon/128 fluid oz) [The conversion factor can be written with oz or gallon on the top - it makes no difference since the two values are equal to each other]
(1867 fluid oz)*((1 gallon/128 fluid oz) = 14.58 gallons
water the tank will hold = 14.583 gallons
What is cuboid ?A cuboid is a three-dimensional or solid shape. A cuboid is a convex polyhedron that has six rectangular faces, eight vertices, and twelve edges. Another name for a cuboid is a rectangular prism. A cube is a cuboid with six square faces. The basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.
Given : A fish tank has a volume = 3360 cubic Inches.
The length of the tank is =14 inches
the width is = 12 inches.
The height of the tank is = 20 inches.
If one fluid ounce is = 1.8 cubic inches
Volume of tank = 14 * 12 * 20 = 3360 cubic inches
1.8 cubic inches = one fluid ounce
3360 cubic inches = 3360/1.8 fluid ounce
= 5600/3 fluid ounce
As we know,
1 gallons = 128 fluid ounces
water the tank will hold =( 5600/3 ) / 128
= 175 / 1 = 14.583 gallons
Therefore, water the tank will hold = 14.583 gallons
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help me with this, please
20 points
20 points, Find the area of the rectangle
Answer: 24yd^2
Step-by-step explanation:
area of triangle=(1/2) (base)(height) eq(*)
from given triangle
height =6 yd
base =8yd
putting values in eq(*)
area=(1/2)(8)(6)
area =24yd^2
Answer:
24yd²
Step-by-step explanation:
Area of a triangle=1/2*base*height
1/2*8*6
u'll be left with
4*6=24
Therefore Area of the triangle is 24yd².
HOPE THIS HELPS
3x + 4y = 3
4y + 3x = 4
How many times will the lines intersect?
Step-by-step explanation:
here we have to know that, if A/B=A'/B' is equal to 1 it means it doesn't cut. if it isn't equal to 1, it does.
A=3 B=4
A'=4 B'=3
3/4=4/3 it cuts. Now, they are straight lines because we don't have x² or anything, so they can just intersect once between them.
You want to make a playlist with all different songs. How many ways can you make a playlist of 16
songs if you must play Leavon, Dream on, Here Comes the Sun, and Clocks in that order?
The number of ways to make the playlist with all different songs such that the 4 songs are in order is; 16!/13!3!.
What numbe of ways can the the playlist be made if the songs must be in order?It follows from the task content, that a playlist of 16 songs is to be made.
Additionally, the songs Leavon, Dream on, Here Comes the Sun, and Clocks must be played in order.
In essence, only 13 varieties are now available from the sixteen.
Therefore, the number of different ways to make the playlist is; 16!/13!3!.
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Find the value of x. Then find the measure of each labeled angle.
Answer:
x = 20, so the labeled angles are 80° and 100°.
Step-by-step explanation:
[tex]5x + 4x = 180[/tex]
[tex]9x = 180[/tex]
[tex]x = 20[/tex]
So the labeled angles measure 80° and 100°.
Answer:
x = 20,the labeled angles are 80 and 100 degrees
Step-by-step explanation:
if we multiply them by 20 we will get 80 and 100
please help me on finding out if these are similar
The triangles are not similar because their corresponding angles are not congruent to each other.
How to Determine if Two Triangles are Similar?If two triangles are similar, their corresponding angles will be congruent to each other. Therefore, two triangles with congruent angles are either similar or congruent to each other. If they are similar, their corresponding sides will have proportional length.
From the image given, the angles of triangle ABC are:
C = 30
B = 90
A = 180 - 90 - 30 = 60.
Triangle LMN are:
L = 90
M = 55
N = 180 - 55 - 90 = 35
Thus, the corresponding angles are not congruent, therefore, they are not similar.
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a boat sails from port p to port q at a speed of 20 km/h along a straight course. once the boat reaches port q, it sails back to port p along the same course at a speed of 30 km/h. if the total time taken by the boat is 1 hour, find the distance between ports p and q.
Answer:
12
Step-by-step explanation:
Time=D/S
T1=PQ/20
T2=PQ/30
Total Time=T1+T2
1=PQ/20+PQ/30
PQ=12
Mickey use three calculations to find how much he would spend on seven cartons of eggs 12 cartons of eggs cost $22.20 describe his error
Mickey, Making errors could be that he must be found out that cost of one carton is $0.50, by dividing 12 cartons with total cost and by this e figured it out the cost of 7 carton is just $3.5.
In this question is arithmetic, what we have in, the question is 12 cartons of eggs cost $22.20. we need to find out the cost of seven cartons.
What is arithmetic?In mathematics it deals with numbers of operations according to the statements.
Here, the cost of one carton is given by;
= 22.20/12 = $1.85
now the cost of seven cartons,
= 1.85 x 7 = 12.95 ≅ $ 13
Thus, Mickey made the mistake in his calculation and didn't get the right cost for seven cartons which is $13.
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Assuming the weights are in kilograms, what is the mystery weight of y? use the equation you created in part a to find the solution. type the correct answer in the box. use numerals instead of words. if necessary, use / for a fraction bar.
The equation which we have created showing relationship between weights of both sides has a solution of y=1/2.
Given weight on one end is y+y+y+1+1+1 and weight on other end is y +y+ y+ y+2 where y is mystery weight.
We have to first form an equation.
If we see the figure we can notice that both sides are equal to other, it means the weight of both ends are equal to each other.
Equation is relationship between two or more variables expressed in equal to form. It is solved to find the value of variables. Equation of two variables look like ax+ by=c.
y+y+1+1+1=y+y+y+y+2
2y+3=4y+2
2y-4y=2-3
-2y=-1
y=1/2
Hence the solution of the equation a showing relationship between weights on both ends is y=1/2.
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Question is incomplete as it should include the given figure.
help me please i don't understand this very well
Answer: 80.5
Step-by-step explanation:
Given that,
Base of Triangle = 23 ft
Height of Triangle = 7 ft
We know,
Area of Triangle
= 0.5 × Base × Height unit^2
=(0.5 × 23 × 7) ft^2
= 80.5
MATH!! please helppp!!!
What is the slope of the line below?
(i attached an image)
a) (0,4)
b) -1/3
c) (-1.5,0)
d) 3
e) 4
f) (0,4)
g) -3
h) 1/3
Answer:
D
Step-by-step explanation:
Looks like from the y-intercept of (0, 4), it goes to (1, 7). Therefore, it should be 3, or D.
(Just to make sure, you can plug it into the slope formula to get (7-4)/(1-0), which should give you 3!)
Compare the graphs f(x)=(x-10)^2+8 with the graph of f(x)=x^2
Answer:
b. The graph of g(x) is a translation 10 units right and 8 units up from the graph of f(x).
Step-by-step explanation:
See attached image.
What is the assessed valuation of a house with a $152,740 market value and a 60 percent assessment rate?
O $254,567
O $244,384
$91,644
O $61,096
Answer:
$254,567
Step-by-step explanation:
The houses market value is $152,740 and has a 60% assessment rate, the assessed valuation of this house would be $254,567. How we got this was by dividing the house total which is $152,740 by the assessment percentage rate which is 60 percent. Simply $152,740÷0.60
calculate the pressure if a force of 30N acts on a area of
[tex]2 {m}^{2} [/tex]
Answer:
2 Pas
Step-by-step explanation:
pressure = force/area
p= 30N/2m²
p=15pas
Answer:
Pressure = 15 N/m² = 15 Pa
Step-by-step explanation:
[tex]Pressure = \frac{Force \space\ \space\ applied}{Area}[/tex]
[tex]Pressure= \frac{30}{2} \\\\Pressure = 15 \space\ N/m^2[/tex]
What is the value of the discriminant of the quadratic equation-2x^2=-8x+8,and what does its value mean about the number of real number solution the equatioj has?
The value of the discriminant is zero and therefore the equation has two equal and real roots.
What is discriminant ?For a quadratic Equation ax²+bx+c = 0 , the discriminant is D = b²-4ac
The given quadratic equation is -2x² = -8x+8
comparing with the standard equation
a = 1
b = -4
c = 4
Simplifying the equation given
[tex]\rm -2x^2+8x-8 = 0\\\\ -2(x^2-4x+4) = 0\\\\x^2-4x+4 = 0[/tex]
The discriminant is given by
D = (-4)²-4 * 1 *4
D = 16-16
D = 0
If D = 0 ,the equation has two equal and real roots.
Therefore, The value of the discriminant is zero.
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Carolyn selected a tile randomly from the set shown below. What is the probability that she selected a white tile or a tile with an even number? Red tiles: 1, 2, 1, 3, 2, 3, 2, 4, 3, 1. Grey tiles: 2, 3, 1, 2, 3, 4, 1, 4, 1, 2. Blue tiles: 3, 2, 1, 3. Purple tiles: 1, 3, 4, 3, 4, 2, 3, 1, 1, 2, 1, 2, 3, 1, 2, 4, 3, 3. Green tiles: 1, 1, 2, 3, 2, 1, 4, 3. Yellow tiles: 2, 4, 2. Black tiles: 1, 2, 1, 4, 3. White tiles: 1, 3. a. 8/15 b. 1/72 c. 1/4 d. 9/20
The probability that she selected a white tile or a tile with an even number will be 9/20.
How to calculate the probability?The probability simply means the act of choosing an event based on the likely occurence.
In this case, the probability that she selected a white tile or a tile with an even number will be 9/20.
Therefore, the correct option is D.
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The largest possibly circle has been cut from a piece of paper.what is the area of the remaining area . caculate the area of just one side of the remaining paper.use 3.14 for the value of pi.
22/7 was considered while choosing the square's side length, the area of just one side of the remaining paper which is a multiple of 7.
Calculate the area of just one side of the remaining paper. use 3.14 for the value of pi.Since the largest circle that can be encircled by a square has a diameter "d" equal to its side length, we may use "d" to conveniently calculate both the square's area and the circle's area.
The largest possibly circle has been cut from a piece of paper.
Square’s area = [tex]d^2[/tex]
Circle’s area =ᴨ[tex]d^2/4[/tex]
Simplifying-
(divide both area by [tex]d^2[/tex]) we find their ratio is 1:(ᴨ/4) or 4/ᴨ (square: circle), and the inverse, ᴨ/4 circle: square.
Therefore diameter of circle =14 cm.
Hence area of circle=πr2.
If you use 22/7 as an approximation for ᴨ, the circle’s area 22/28 of the square’s, the square’s area is 28/22 of the circle’s , it follows that the area outside the circle is (28–22)/28 of the square’s area, which is (28–22)/28 x 14 x14,
or 6/28 x 14 x 14,
or 3/14 x 14 x 14,
or 42 square inches or-
(4-ᴨ)/4 x 14 x 14
22/7, It's a rather accurate estimate.
22/7 was considered while choosing the square's side length, which is a multiple of 7.
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Circle L is shown. Line segments K L and M L are radii. The length of K L is 12. Angle M L K is 60 degrees. Sector M L K with a 60 degree angle is shaded.
What is the area of the sector that is not shaded?
12Pi units squared
24Pi units squared
120Pi units squared
The area of the unshaded region of the circle will be 120π units squared.
The area of a sector of a circle of radius r having an angle a° is given by:
Area of sector = (π*[tex]r^{2}[/tex])*(a°/360°) units squared.
Given ∡KLM = 60°. The radius of the circle is 12 units.
⇒The area of shaded sector KLM = (π*[tex]12^{2}[/tex])*(60°/360°) = π·144/6 = 24π sq. units.
The area of the unshaded region of the circle = (total area of the circle) - (the area of sector KLM) = (π*[tex]12^{2}[/tex]) - 24π = 120π sq units.
∴ The area of the unshaded region of the circle is 120π units squared.
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This question is incomplete. Find the missing figure below.