Answers
Answer:
The scale factor of a dilation is 3.
Step-by-step explanation:
Given the length ST of the rectangle RSTU
The length ST of the rectangle = 8 units
It is clear that the corresponding length S'T' = 23 is 3 times the length of the original length ST = 8
i.e.
S'T' = 3(ST)
S'T' = 3(8) ∵ ST = 8
S'T' = 24
It indicates that the RSTU has been dilated by a scale factor of 3.
As the scale factor 3 > 1, it also indicates that the dilated rectangle R'S'T'U is enlarged.
Therefore, the scale factor of a dilation is 3.
Related Questions
Alright here is another question
Answers
Answer:
1/2bh, bh, s²
Step-by-step explanation:
Base x Height = area of rectangle/square, so half it (to get the triangle)
Base x Height = Area of rectangle
And for me, I knew what the last one was since it was the only one left, and isn't the equation for the first two, so an eliminating strategy. :)
For the following expressions, match them up with their correct factored form
Answers
- No.1 on the left matches to no.2 on the right
- no. 4 on the left matches to no. 3 on the right
- no. 5 on the left matches to no. 4 on the right
- no. 2 on the left matches to no.5 on the right
The expression (x+6)² is simplified as x²+12x+36.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
A) (3x-2)(x+5)
= 3x²-2x+15x-10
= 3x²+13x-10
B) (3x-8)(3x+8)
= (3x)²-8²
= 9x²-64
C) 5x(x-1)(x+7)
= (5x²-5x)(x+7)
= 5x²(x+7)-5x(x+7)
= 5x³+35x²-5x²-35x
= 5x³+30x²-35x
D) (x+6)²
= x²+12x+36
E) (x-2)(x-8)
= x(x-8)-2(x-8)
= x²-8x-2x+16
= x²-10x+16
So, A→2, B→5, C→1, D→3, E→4
Therefore, the expression (x+6)² is simplified as x²+12x+36.
To learn more about an expression visit;
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Solve for y
4x + 4y = -36
Answers
uhhhh the answer is -9 I think
A home purchased for $120,000 in 2012 is sold for $156,000 in 2015. What is the percent increase in the price?
Answers
Answer:
30% increase
Step-by-step explanation:
First, find the difference between the prices:
156,000 - 120,000
= 36,000
Then, find what percent this is of the original price:
36,000/120,000
= 0.3
So, the percent increase is 30%
Find the angle with the smallest measure in △ VUW. Name the angle using three letters
Answers
Answer:
∠VUW
Step-by-step explanation:
A triangle is a three sided polygon with three angles. Types of triangles are obtuse, scalene, isosceles, equilateral and so on.
In triangle VUW, since VU = WU, hence it is an isosceles triangle. In an isosceles triangle, two sides of the triangle are equal.
The size of an angle depends on its opposite side, the higher the opposite side the higher the angle. Since In triangle VUW, VU = 9, WU = 9, VW = 5. Since VW is the smallest side, the angle opposite to VW is the smallest angle.
Hence the smallest angle = ∠VUW
Dr. Montgomery recently graduated from medical school and his wife bought him an engraved stethoscope. The stethoscope cost $160.00. The sales tax in his city is 8%. What is the total cost of the stethoscope in dollars and cents including sales tax?
Answers
Answer: 172.8
Step-by-step explanation:
what is the slope line segment between A(10,5) and B (13,-1
Answers
Answer:
-2
Step-by-step explanation:
using the slope formula with these two points gives me a slope of -2. Hope that helps!
help please this has to be done
Answers
Answer:
100
Step-by-step explanation:
a triangle is 180, so 180-58-22 is your answer
Which one of these is not a step used when constructing an inscribed equilateral triangle using technology? (5 points)
Create a circle using the center with given point tool.
Use the compass tool to create three more circles, with the same radii as the first.
Connect the point with a line through the center of the circle.
Create another circle with the same radius as the original.
Answers
Answer:
again i can not see the given point
Step-by-step explanation:
Simplify i give brainlest
Answers
Answer:
56/6 or 9.33
Step-by-step explanation:
8x5 -4^2/
2x3
40 - 4^2/
2x3
40 + 16/
6
56/6 or 9.33
The answer is 4 because when simplifying the top of the fraction it equals to 24 and the bottom is 6 so when dividing it equals 4.
Question 5 of 5
Find the length of side a.
13
a
12
O A. 1
O B. 313
O C. 25
O D. 5
Answers
Answer:
It's D. 5
Step-by-step explanation:
A^2 + B^2 = C^2
The third length of the right triangle is 5 units. Then the correct option is D.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
We have
P = a
B = 12
H = 13
Then
13² = a² + 12²
169 = a² + 144
a² = 169 – 144
a² = 25
a = 5
Then the correct option is D.
More about the Pythagoras theorem link is given below.
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for a school fundraiser troy sold 28 bags of popcorn and 40 candy bars and made 282. jake sold 17 bags of popcorn and 20 candy bars and made 160.50. what was the cost of a bag of popcorn
Answers
Answer:
$6.50 per bag of popcorn
Step-by-step explanation:
let a bag of popcorn be represented by p and a candy bar be b
28p + 40b = $282
17p + 20b = $160.50
this is an example of simultaneous equations
so you have to double the second equation to give 34p + 40b = $321
subtract the equations to give one -- > 6p = $39
divide $39 by 6 to give the value of one bag of popcorn = $6.50
1.) Which of the following is closest to 1?
A.
B.
9
10
C.
D. 98%
99
E.
100
8
Answers
Answer:
Step-by-step explanation:
98% it is the only percent and it is close to one
the value of the 7 in 0.076 is 1/10 the value of the 7 in 2.79
Answers
Answer:
true
Step-by-step explanation:
the second 7 is in the tenth place and the first 7 is in the hundredth place, which is 1/10 the tenth place
I agree...................
The coach of a track team is standing on
the outside of a circular track. What is the
maximum distance he can be from one of
his track teammates if the distance from the
coach to the center of the track is 52.4
· feet? Explain how you know your answer is
correct.
Answers
,.....................
Use the Distributive Property to rewrite the expression in factored form.
5x - 10
16p + 24c + 32w
I used all my points please help
Answers
x * 2/3 < 2/3
Solve for x
Answers
Answer:
x<1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable. Hope this helps!
Answer:x<1
Step-by-step explanation:
Solve?? Wat is it plss?
Answers
-6,604
———-
1,927
There are 3 tennis balls in each can. The coach bought a total of 27 tennis balls. How
many cans of tennis balls did Coach buy? Which equation models this problem?
Answers
Answer:
Step-by-step explanation:
27÷3=9
The couch bought 9 cans of tennis ball.
What is division?One type of operation is division in mathematics. In this procedure, the expressions or numbers are divided into the same number of components.
Given, there are 3 tennis balls in each can.
And couch bought 27 tennis balls.
To find the number of cans:
Take the division of Total number of balls to balls in one can.
That means the number of cans for 27 tennis balls,
= 27 / 3
= 9
Therefore, the 9 cans the couch bought.
To learn more about the division;
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Combine like terms : 10a+11x+3+10-9a-9+2+6x
Answers
Answer:
a+17x+6
Step-by-step explanation:
Last year, the average monthly revenue at the Westford Times newspaper was $54,460.70. This year, the average monthly revenue so far has been $70,798.91. What is the percent of increase in the average monthly revenue?
Answers
9514 1404 393
Answer:
30% increase
Step-by-step explanation:
The percentage change can be computed from ...
percent change = ((new value)/(old value) -1) × 100%
= (70798.91/54460.7 -1) × 100% = (1.30 -1) × 100%
= 30%
The average monthly revenue increased by 30% from last year.
The graphs of f(x) = 10' and its translation, g(x), are
What is
shown.
O g(x
g(x)
у
460
fa)
go
O g(x)
O g(x)
120
100
(2. 100)
(5, 100)
80
60
40
20
(391) (4.10)
6
1 2 3
5
6
х
140
(1.10)
60
Answers
Answer:
The first option
Step-by-step explanation:
The equation of g(x) is g(x) = [tex]10^{3 - x[/tex]
Option A is the correct answer.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and size.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
From the graph, we see that,
The coordinates in the line g(x) are (5, 100) and (4, 10).
Now,
g(x) = [tex]10^{x - 3[/tex] ______(1)
Substituting (5, 100) and (4, 10) in (1)
We get,
g(5) = [tex]10^{5 - 3[/tex] = 100
g(4) = [tex]10^{4 - 3[/tex] = 10
This is true.
Thus,
The equation of g(x) is g(x) = [tex]10^{3 - x[/tex]
Learn more about translation here:
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Solve for x
CAN SOMEONE PLEAAAAAAAAAAAAAAAAAAAAAAAASE HELP ME
Answers
Answer:
x= 12
Step-by-step explanation:
First, we can note that the angles in a pentagon add up to 540°
We can, using the image below, conclude that angles a+b+c+d+f=540
Furthermore, a is on a straight line with 7x+4, and so on, so
180-(7x+4)= a
176-7x=a
180-(4x+1) = b
179-4x = b
180-(9x-6) = c
186 - 9x = c
180 - (4x+9) = d
171 - 4x = d
180 - (5x+4) = f
176 - 5x = f
a+b+c+d+f = 540
176-7x + 179-4x + 186 - 9x + 171 - 4x + 176 - 5x = 540
888 - 29x = 540
348 = 29x
x = 12
Cesar, Carmen, and Dalila raised $95.34 for their tennis team. Carmen raised $12.12 less than Cesar, and Cesar raised $35 more than Dalila.
If x = the amount raised by Carmen, choose the expressions that represent the amount each other player raised.
Answers
Let Cesar's, Carmen's and Dalila's amount be represented by x, y and z respectfully.
Since they're money sum up to $95.34, the first expression will be;
x+y+z=95.34
Carmen_y_ is $12.12 less than cesar_x, so the equation will be ;
y=x-12.12
Cesar_x_raised $35more than Dalila_z. So the equation will be;
x=z+35
making z the subject, z=x-35 .
Substituting the Second equation into the first one, we get;
x+x-12.12+z=95.34
Subtracting the third equation into the new equation we get;
x+x-12.12+x-35=95.34
Simplifying, we get 3x- 47.12= 95.34.
3x=142.46
what is the median of these numbers 12 13 15 16 19 32
Answers
Answer:
15 1/2 or 15.5
Step-by-step explanation:
the median is just the numer in the middle (numerical order) so, because you end up with both 15 and 16, the rational number between them is 15.5
i need help with a question.
Answers
Cities are on sale for five each Jennifer has 45 and wants to buy as many as she can how many CDs can Jennifer buy
Answers
Answer:
9 cd's
Step-by-step explanation:
Pls help asap, will do brainlest
Answers
Answer:
i got 2730 hope its right
Step-by-step explanation:
please help me I don't get it
Answers
Answer:
5
Step-by-step explanation:
1/6 X 6 = 1 X 5 = 5
6 X 5 = 30
The Correct Answer is 5
Which expression is equivalent to 2(3+a)?
Answers:
A.) : 2a
B.) : 2a+6
C.) 6a+2
D.) 6+a
Answers
Answer:
the answer is b
Step-by-step explanation:
here you go mate
step 1
2(3+a) equation/question
step 2
2(3+a) simplify
(2)(3+a)
step 3
(2)(3)+(2a) add them up
answer
6+2a