Answers
All three are similar
In ∆SUT and ∆VWX
Two sides are similar and one angle is similarSo by SSA they are similar
In ∆PRQ and rest two
All angles are.
80,80,20°So
They are similar by AAA congruence
Related Questions
Put the following items in order from most expensive to least expensive. Item Base Price Change Direction Blender $29. 73 9% Markdown Hat $14. 16 77% Markup Ink $20. 17 27% Markup Heater $28. 46 22% Markdown a. Blender, heater, ink, hat b. Blender, ink, hat, heater c. Ink, hat, blender, heater d. Ink, heater, blender, hat.
Answers
Putting the considered items in order from most expensive to least expensive item gives the order as shown by: Option b. Blender, ink, hat, heater
What is Markup and Markdown?Markup is the amount that will be increased in the original price of the considered thing.
Markdown is the amount that will be decreased from the original price of the considered thing.
Think of "up" and "down" as increasing and decreasing prices respectively.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For this case, the base prices and the chage in price is given as:
Item Base Price Change Direction
Blender $29.73 9% Markdown
Hat $14.16 77% Markup
Ink $20.17 27% Markup
Heater $28.46 22% Markdown
Calculating the resultant price:
Case 1: Blender:Resultant price = 29.73 - 9% of 29.73
[tex]P= 29.73 - \dfrac{29.73}{100}\times 9\\\\P = 27.0543 \: \: \text{dollars}[/tex]
Case 2: Hat:Resultant price = 14.16 + 77% of 14.16
[tex]P= 14.16+\dfrac{14.16}{100}\times 77\\\\P = 25.0632\: \: \text{dollars}[/tex]
Case 3: Ink:Resultant price = 20.17 + 27% of 20.17
[tex]P= 20.17+\dfrac{20.17}{100}\times 27\\\\P = 25.6159\: \: \text{dollars}[/tex]
Case 4: Heater:Resultant price = 28.46 - 22% of 28.46
[tex]P= 28.46- \dfrac{28.46}{100}\times 22\\\\P = 25.0448 \: \: \text{dollars}[/tex]
Thus, putting the considered items in order from most expensive to least expensive item gives the order as shown by: Option b. Blender, ink, hat, heater
Learn more about percent here:
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I’m confused on what to do.
Answers
All you need to do is use your calculator to solve that equation. Just so you don't need to for just this one, here's the answer you should type into the box:
3/20
Calculate the angle of the incline from the diagram. Answers have been rounded to the nearest tenth of a degree.
A. 32.2°
B. 40.2°
C. 49.8°
D. 57.8°
Answers
Answer:
40.2
Step-by-step explanation:
Let's see
[tex]\\ \rm\rightarrowtail tan\theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\\ \rm\rightarrowtail tan\theta=\dfrac{11}{13}[/tex]
[tex]\\ \rm\rightarrowtail tan\theta=0.846[/tex]
[tex]\\ \rm\rightarrowtail \theta=tan^{-1}(0.846)[/tex]
[tex]\\ \rm\rightarrowtail \theta=40.2^{\circ}[/tex]
The Kingda Ka roller coaster at Six Flags NJ is the tallest steel roller coaster. The car has a mass of 9750 kg with passengers. It is shot across a horizontal track then climbs up a vertical incline to a height of 139 m before stopping at the top. Ignoring friction and air resistance, what amount of kinetic energy must the coaster have before it goes up the incline?
Gravity 9.8 m/ ^2s
physical science!
Help pls
Answers
The kinetic energy that the coaster must have before it goes up is: 13.3megajoules.
What is kinetic energy?Kinetic energy refers to the energy that a body possesses due to its motion. It's known to be the energy needed to move a body of a given mass from rest to its stated velocity.
We can calculate the kinetic energy of the Kingda Ka roller in the following way:
K.E = Potential Energy
K.E = mgh
Where: m = mass = 9750
g = acceleration due to gravity = 9.8m/s²
h = height = 139m
Thus: K.E = 9750 x 139 x 9.8 = 13,281,450J
= 13.3megajoules.
Learn more about kinetic energy on https://brainly.com/question/25959744
HELP PLEASE
What is the surface area of this right triangular prism?
Enter your answer in the box.
in²
Answers
The surface area is the sum of the areas of the faces of a figure. We can break this figure down into 3 different shapes: the base rectangle, the rectangles that come to a point, and the two triangles.
Area of a Rectangle = base x height
Area of a Triangle = 1/2 x base x height
Base rectangle = 24 x 12 = 288
Rectangles that come to a point = 2(12 x 13) = 2(156) = 312
---There are two rectangles, which is why I multiplied the area by 2.
Triangles = 2(1/2 x 24 x 5) = 2(1/2 x 120) = 2(60) = 120
Surface Area = sum of all the areas of the faces
Surface Area = 288 + 312 + 120 = 720 in^2
Answer = 720 in^2
Hope this helps!
A money box contains only 10-cent and 20-cent coins. There are 40 coins with a total value of $6.50. How many coins of each?
Answers
Answer:
10x+20y= 350
Step-by-step explanation:
Add the decimal. 3.50
Let's assume that all the coins are 10-cent coins.
The total value would be 10 x 40 = 400 cents = $4
So, it would be $2.5 less than the actual total value,
We now know that not all the coins are 10-cent coins, so now we will replace 1 10-cent coins with a 20-cent coins.
Everytime we switch a 1 10-cent coins to a 20-cent coins, the value go up 10 cents. So, we need to switch 25 times (to make the value goes up $2.5)
-> There are 25 20-cent coins and 15 10-cent coins
Recheck : 25 x 20 + 15 x 10 = 500 + 15 = 650 cents = $6.5
Use an equation to solve.
What is 60% of 400?
Answers
Answer:
240 :)
Step-by-step explanation:
400 x 0.60 = 240
Have a great day!
Please rate and mark brainliest!!
Answer:
240
Step-by-step explanation:
Impaired brain function as a result of drug use involves all of the following except: a. increased confusion b. errors in judgment c. memory loss d. increased concentration
Answers
Increased concentration is the answer as drug impairs our ability to control ourselves.
Hope it helps!
Impaired brain function as a result of drug use doesn't involve: Option D: Increased concentration.
What is impaired brain function?A significant deterioration in one or more domains of conscious mental activity, such as language, learning, and memory, that interferes with everyday function and independence are some of the traits of impairment of brain.
Thus, as we see, first three options are showing acts of impaired brain but the fourth option contradicts, as impairment from drug use isn't going to increase concentration and if it somehow does, then it isn't impairment.
Thus, impaired brain function as a result of drug use doesn't involve: Option D: Increased concentration.
Learn more about impaired brain function here:
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1) Which of the following has a probability of 0?
1. Rolling a 1 on a standard die
2.Flipping tails on a standard coin
3.Rolling a sum of 20 with two standard dice
4.Rolling a sum of 5 with two standard dice
Answers
Answer:
3. rolling a sum of 20 with two standard dice
Step-by-step explanation:
If something has a probability of 0 then there is no chance of it happening
A standard die goes up to 6. The max sum you can get by rolling two dice would be 12 as 6 + 6 = 12. So you have no chance of rolling a sum of 20 with two standard dice therefore the probability would be 0.
How to get x and what the answer is.
Answers
sum of interior angle =n-2(180)
n is the number angles
5-2(180)
3(180)
=540
x=102+116+123+88=429
540-429=111
x=111
The rectangle shown has a perimeter of 56 cm and the given area. Its length is 8 times more than three times its width. Write and solve a system of equations to find the dimensions of the rectangle.
Answers
Answer:
Dimensions of rectangle = 23 cm x 5 cm
Step-by-step explanation:
Equations we can form
Perimeter of 56 cm⇒ 2L + 2W = 56
⇒ L + W = 28
Length is 8 more than 3 times its width⇒ L = 3W + 8
Substitute in previous equation
⇒ 3W + 8 + W = 28
⇒ 4W = 20
⇒ W = 5 cm
⇒ L = 28 - 5 = 23 cm
What is the following product?
30. 10
2.110
3.10
4./10
10/5
Answers
Step-by-step explanation:
300220302/5=0.42Hope it helps you
A carpenter is making a circular tabletop with a circumference of 4.5 yards.
What is the radius of the tabletop in to the nearest centimetre?
Answers
Help
7. Add or subtract the following polynomials:
a. 5x2 + 3y3 - 4x2 =
b. y3 + 2y3 - 8 + 2 =
c. 9-3x - 4x + 2x - 12 =
d. -6t + 4+2 -16 + 7+ - 4+2 =
Answers
Answer:
a. [tex]x^{2} + 3y^{3}[/tex]
b. [tex]3y^{3} -6[/tex]
c. [tex]5x -3[/tex]
d. -6t - 5
Step-by-step explanation:
When a number has the same variable as another, you can add or subtract them
So for the first one, you can do
[tex]5x^{2} -4x^{2} = 1x^{2} = x^{2}[/tex]
(But don't forget the [tex]3y^{3}[/tex]!)
So it is:
[tex]x^{2} + 3y^{3}[/tex]
Continue this process for the rest of them
What is
13/31 as a percentage?
Give your answer rounded to one decimal place
Answers
Answer:
13 is 41.9 percent of 31
13/31*100=41.9
5x+9y=−10
7x+10y=−1
help how do i solve this
Answers
Answer:
{x,y} = {7,-5}
Step-by-step explanation:
Solve equation [2] for the variable y
[2] 10y = -7x - 1
[2] y = -7x/10 - 1/10
Plug this in for variable y in equation [1]
[1] 5x + 9•(-7x/10-1/10) = -10
[1] -13x/10 = -91/10
[1] -13x = -91
Solve equation [1] for the variable x
[1] 13x = 91
[1] x = 7
By now we know this much :
x = 7
y = -7x/10-1/10
Use the x value to solve for y
y = -(7/10)(7)-1/10 = -5
Answer:
(x , y) = (7 , -5)
Step-by-step explanation:
{x, y} = {7, -5}
System of Linear Equations entered :
1. 5x + 9y = -10
2. 7x + 10y = -1
(Shown on graph below)
Solve equation 3 for the variable the y
10y = -7x - 1
y = -7x/10 - 1/10
Plug this in for variable y in equation 1
5x + 9•(-7x/10-1/10) = -10
-13x/10 = -91/10
-13x = -91
Solve equation 1 for the variable x
13x = 91
x = 7
By now we know this much :
x = 7
y = -7x/10-1/10
Use the x value to solve for y
y = -(7/10)(7)-1/10 = -5
Hence, (x , y) = (7 , -5)
Is (-6, -7) a solution to this system of equations?
y = 4x + 9
y = 2x + 5
Yes or no
Answers
Answer:
The answer is no
*View the attached graph to check your answer graphically.*
Step-by-step explanation:
y = 4x + 9
y = 2x + 5
For this problem, I will be using substitution, since the both equations are already in the slope-intercept form, and it's a little easier than the elimination method.
First, I will substitute the first equation, for y, into the second equation:
y = 4x + 9
y = 2x + 5
4x + 9 = 2x + 5
Next, subtract 2x from both sides to isolate x:
4x + 9 = 2x + 5
-2x -2x
2x + 9 = 5
Then, subtract 9 from both sides:
2x + 9 = 5
- 9 - 9
2x = -4
Now, divide both sides by 2:
2x = -4
/2 /2
x = -2
Now, we find the value of y, by substituting -2 for x:
y = 2x + 5
y = 2(-2) + 5
y = -4 + 5
y = 1
(x, y) ==> (-2, 1)
Check your answer using (-2, 1):
y = 2x + 5
1 = 2(-2) + 5
1 = -4 + 5
1 = 1
This statment is correct
y = 4x + 9
1 = 4(-2) + 9
1 = -8 + 9
1 = 1
This statment is also correct
Check your answer using (-6, -7):
y = 2x + 5
-7 = 2(-6) + 5
-7 = -12 + 5
-7 = -7
This statment is correct
y = 4x + 9
-7 = 4(-6) + 9
-7 = -24 + 9
-7 = -15
This statment is NOT correct
Therefore, no (-6,-7) is NOT a solution to this system of equations.
*View the attached graph to check your answer graphically.*
Hope this helps!
Answer:
no
Step-by-step explanation:
Write 16^1/4 as a power then evaluate
Answers
Answer:
2
Step-by-step explanation:
[tex]16^{\frac{1}{4} }[/tex] = [tex]\sqrt[4]{16}[/tex] = 2. To find the fourth root, find the number that repeats itself four times using multiplication. 2 x 2 x 2 x 2 = 16
May you please do number 11. I don’t know how to do it.
Answers
Answer:
11.) 105 degrees
12.) 50 degrees
13.) 55 degrees
Step-by-step explanation:
11.) <EFG is a straight angle (180 degrees) so 180-75=105
12.) <FGC is a right angle (90 degrees) so subtract 40 and you get 50 degrees
13.) Sum of angles in a triangle is 180 degrees. Since we already know 2 angles, just subtract from 180. 180-75-50=55 degrees
Which of the following equations could be used to solve for the tenth term of the following sequence? 15,13,11,9,… A(10)=15+10(-2), A(10)=15+9(-2),A(10)=15+10(2),A(10)=15+9(2)
Answers
Answer:
the first one
Step-by-step explanation:
(b) A line has the equation y = 6x + 11
Does the point (-3,15) lie on the line? Explain you answer as fully as possible
Answers
Hi, to begin, the ordered pair value (-3, 15) has an x-value of -3. So, to see if it lies on the line of your equation y = 6x + 11, plug -3 in for x. This gives you y = 6(-3) + 11 = -7 So the ordered pair answer for this would be (-3, -7) and not (-3, 15). So the answer is no.
Hey there!
-----------------------_----------_---------Devon’s favorite applesauce recipe calls for 2 teaspoons of cinnamon for every 3 apples. There is a proportional relationship between the number of apples
Answers
Answer:
3x=2y
Explanation:
There is a proportional relationship between the number of apples and teaspoons of cinnamon that is 3x = 2y.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Given that Devon’s favorite apple sauce recipe calls for 2 teaspoons of cinnamon for every 3 apples.
Now, let x be the number of apple and y be the teaspoons of cinnamon
the proportion are;
x/2 = y/3
Therefore, the proportional relationship between the number of apples and teaspoons of cinnamon is
3x=2y
More can be learned about proportions at;
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#SPJ2
4x^2−24x
that is a 4x to the second power thanks you people are so helpful oh yeah factor it thats it
Answers
Answer:
See below.
Step-by-step explanation:
4x^2-24x
Find the GCF.
4 - 1, 2, 4
24 - 1, 2, 3, 4, 6, 8, 12, 24
The GCF of x^2 and x is x.
The complete GCF is 4x.
4x(x-6)
-hope it helps
Carmen went for a drive in her new car. She drove 437.5 miles in 7 hours. What was her speed?
Please help!!!!
Answers
Answer:
62.5 miles per hour
Step-by-step explanation:
Assuming she had the same speed the whole time and never stopped, just divide the miles driven by the time to get miles per hour. 437.5/7 = 62.5, so she drove 62.5 miles per hour.
Hopefully this helps- let me know if you have any questions!
Lucy wants to make a confidence interval to estimate the true mean wait time explain throughly why Lucy has or has not satisfied the normal condition for contstructing a confidence interval
Answers
The confidence interval would help Lucy determine the probability that a parameter will fall between two values around the mean.
How to determine the normal condition for the confidence interval?The question is incomplete, as the needed parameters to answer the question are missing.
So, I will list the normal conditions for constructing the confidence interval
The condition for constructing the confidence interval include:
The sample must be a random sampleThe variables must be independenceThe samples must be a large sample i.e. 30 or greaterThe sample size should be less than or equal to 10% of the population sizeRead more about confidence interval at:
https://brainly.com/question/15712887
Please help ASAP
I'll mark Brainliest
Answers
John bought a crate of floor tiles $100. the crate had 5 boxes of floor tiles. each box contained 40 floor tiles. what is the cost per box ?
Answers
Answer:
20
Step-by-step explanation:
100/5=20
Keisha cuts a 2/3 foot rope into 1/12 foot piecesz how many pieces of rope was she able to cut?
Do I divide 2/3 by 1/12?
Answers
Answer:
yes its 24/3 but reproduce is 1/8
Step-by-step explanation:
PLS PLS PLS HELP ME!!!
Answers
Answer:
[tex]x = 180 - (37 + 53)[/tex]
is the answer
x - 3y - 3 = 0
3x - 9y - 2 = 0
Answers
Answer: no solution
x - 3y = 3 --------> (1)
3x - 9y - 2 = 0
3x - 9y = 2 ---------> (2)
Solving (1) and (2)
x - 3y = 3
3x - 9y = 2
Multiply Eqn (1) by 3,
3x - 9y = 9 -------> (3)
3x - 9y = 2 ---------> (4)
Answer provided by Education Point
equation 1 : [tex]\sf x - 3y - 3 = 0[/tex]
equation 2 : [tex]\sf 3x - 9y - 2 = 0[/tex]
make x the subject in equation 1,
[tex]\sf x = 3+3y[/tex]
insert this in equation 2,
[tex]\rightarrow \sf 3(3+3y) - 9y - 2 = 0[/tex]
[tex]\rightarrow \sf 9+9y- 9y - 2 = 0[/tex]
[tex]\rightarrow \sf 7 = 0[/tex]
Thus no solution for x and y in this solution.