1. a. The image's dilated side lengths on each side:
AB = CD = 45cm.
BD = AC = 24cm.
2. a. Equal ratios exist between the lengths of matching sides. The ratio is the same as the dilation's scale factor.
b. The image is a dilation of the original image.
c. The scale factor = 4.
3. a. The image is a dilation of the original image.
b. The scale factor = 2.
What do you mean by scale factor?A scale factor, often referred to as a conversion factor, is a numerical value that is used to alter a figure's size without altering its shape. The scale factor can be calculated if both the dimensions of the original and the dilated (increased or lowered) figure are known. The basic formula for calculating a figure's scale factor is given as,
Scale factor is equal to the division between the dimensions of the new and old shapes.
In the first figure, the sides are given as:
AB = 15cm
BD = 8cm
Scale factor = 3
Now, using the scale factor formula:
Scale factor = New dimensions/Old dimensions
⇒ 3 = New dimension/15
⇒ New dimension of AB = 45cm.
Similarly, new dimension of BD = 24cm.
In the second figure, as the lengths of corresponding sides have equal ratios. Both the figures are similar. The image is the dilation of the original figure as the lengths of corresponding sides have equal ratios. The ratio is the same as the dilation's scale factor. So, the scaler factor here is 4.
Now in the last figure we can see that the coordinates of A', B', C' and D' are exactly half of that of the coordinates of A, B, C and D.
The ratio of the coordinates is 2:1.
Therefore, the scale factor = 2.
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Write the equation using the table and graph pictured above
(Hint: this is a 2 step equation )
Answer:
y = -2x + 12
Step-by-step explanation:
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
I will use the first point (1, 10) and the last point (5, 2)
Plug in these values:
(2 - 10) / (5 - 1)
Simplify the parentheses.
= (-8) / (4)
Simplify the fraction.
-8/4
= -2
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -2x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the last point (5, 2). Plug in the x and y values into the x and y of the standard equation.
2 = -2(5) + b
To find b, multiply the slope and the input of x(5)
2 = -10 + b
Now, add 10 to both sides to isolate b.
12 = b
Plug this into your standard equation.
y = -2x + 12
This is your equation.
Check this by plugging in the other point you have not checked yet (1, 10).
y = -2x + 12
10 = -2(1) + 12
10 = -2 + 12
10 = 10
Your equation is correct.
Hope this helps!
A national standardized test is graded on a scale from 1 to 5. The scores for a particular school are given below. If a
student is chosen at random, what is the probability that they scored a 4 or a 5?
O A. 22.5%
OB. 45%
C. 60%
D. 75%
E. 90
Answer:
C
Step-by-step explanation:
Hope this helps! Pls mark brainliest
I need help mann I’m stuck
Answer:
slope -1/3
y- intercept 1
Answer:
Step-by-step explanation:
If i make another answer than a crown will appear click her crown
Yesterday, the temperature at noon was 12.8⁰F. By midnight, the temperature had decreased by 14.3 degrees. What was the temperature at midnight?
Answer:
-1.5 degrees
Step-by-step explanation:
have a nice day,
Sweaters are $3 for $50. Leslie and her mother spent $100 on sweaters. How many did they buy
Answer:
6
Step-by-step explanation:
Total = $100 ÷ $3
Total = $100/$3
Total [tex]\approx 33[/tex]
Help! Best answer gets brainliest!
Answer:
11
Step-by-step explanation:
because the length of 12 is the same of t+1 so 11+1=12
youre welcome
Answer:
156
Step-by-step explanation:
Ms. Hartline grades one math test every 1⁄4 hour. How many math tests does she grade in 2 hours? HELP QUICK!!
Answer:
8 maths tests
Step-by-step explanation:
Given data
We are told that in 1/4 hour that is 0.25hour (15 mins) She grades 1 math test
our aim is to find how many maths test she grade in 3 hours (120min)
Hence
in 15 mins she does 1 grading
in 120 mins she does x
cross multiply
15x= 120
divide both sides by 15
x= 120/15
x= 8 maths test
Hence in 2 hours, she can grade 8 maths tests
The point (6, -6) is reflected over the x-axis. What are the coordinates of the resulting point
Answer:
(-6,-6)
Step-by-step explanation:
(x,y) becomes (-x,y) when reflected over the x-axis
Andre earns $4,000 a month at his new job in order to track his spending and saving he created a monthly budget. Andre divided his income into five categories and created the following circle graph to represent the budget he created for himself use this circle graph to answer the following questions.
a) Andre is planning on renting a new apartment but he wants to stay within his Budget on rent and the utilities. Andre is looking for an apartment the apartment cost $1,450 per month plus $250 for utilities will this apartment fit with an Andres budget? explain your reasoning
b) how much more money does Andre budget for savings than for groceries and utilities? write answer as a dollar amount
Answer:
If Andre plans on staying within his budget, he should choose Apartment 1.
Step-by-step explanation:
Apartment 1: $1100 rent + $250 utilities = $1350 Total Monthly
Apartment 2: $1350 rent + $100 utilities = $1450 Total Monthly
Andre can spend up to $1320 on rent & $320 on utilities, totaling at $1640. In this situation, Andre needs to save as much money as possible. Either on one of these apartments stay below the budget for monthly cost, but Apartment 2's rent goes $30 higher than his budget allows. In the end, this makes apartment 1 the best option for rent, utilities, and ultimate cost.
If Andre plans on staying within his budget, he should choose Apartment 1.
Find the midpoint of the segment with the following endpoints.
(10,7) and (2,1)
Plzzz help plzzzzzzzzzzzzzz
Given:
The figure of two quadrilaterals.
In [tex]ABCD,AB=18,BC=20,CD=22,AD=24[/tex]
In [tex]EFGH,EF=27,FG=30,GH=34, EH=36[/tex]
To find:
Whether the figures are congruent, similar or neither.
Solution:
Ratio of corresponding sides are:
[tex]\dfrac{AB}{EF}=\dfrac{18}{27}[/tex]
[tex]\dfrac{AB}{EF}=\dfrac{2}{3}[/tex]
Similarly,
[tex]\dfrac{BC}{FG}=\dfrac{20}{30}[/tex]
[tex]\dfrac{BC}{FG}=\dfrac{2}{3}[/tex]
[tex]\dfrac{CD}{GH}=\dfrac{22}{34}[/tex]
[tex]\dfrac{CD}{GH}=\dfrac{11}{17}[/tex]
And,
[tex]\dfrac{AD}{EH}=\dfrac{24}{36}[/tex]
[tex]\dfrac{AD}{EH}=\dfrac{2}{3}[/tex]
Clearly, [tex]\dfrac{AB}{EF}=\dfrac{BC}{FG}=\dfrac{AD}{EH}\neq \dfrac{CD}{GH}[/tex].
All corresponding sides are not proportional.
Therefore, the figures are neither similar nor congruent. Hence, third option is correct.
what is the area of the shaded region and what steps do I have to do to find it out
Answer:
Usually, we would subtract the area of a smaller inner shape from the area of a larger outer shape in order to find the area of the shaded region.
Step-by-step explanation:
Homework help please
Answer:
[tex]V=868.13\ ft^3[/tex]
Step-by-step explanation:
Given that,
The side length of the base of the pyramid, a = 14.1 ft
The height of the pyramid, h = 13.1 ft
We need to find the volume of the pyramid. The formula for the volume of the square base pyramid is given by :
[tex]V=\dfrac{a^2h}{3}[/tex]
Put all the values,
[tex]V=\dfrac{(14.1)^2\times 13.1}{3}\\\\V=868.13\ ft^3[/tex]
So, the volume of the pyramid is equal to [tex]868.13\ ft^3[/tex].
The function f(x)=(25)x
is shown on the coordinate plane. Which statement is true?
Answer: In the right end, as x increases without bound, the graph of f(x) decreases.
In the left end, as x decreases without bound, the graph of f(x) increases.
Step-by-step explanation:
According to the graph, the end behaviour of the function in the image is decreasing without bound. When we graph a function, with put an arrow to indicate when a function increases or decreases without bound, that's why in this case we can say the decreases without bound, the function extends without limit.
Therefore, as the x increases, f(x) decreases. If you carefully pay attention to the graph, x is constantly increasing in the right end, and f(x) is more and more close to the x-axis.
Find the next 2 numbers in the sequence: 7, 28, 49,70, ....
Answer:
n
Step-by-step explanation:
Answer: 91, and 112
Step-by-step explanation: its is by two each time for example in the 7 time tables you see 7, 14, 21, 28 so the number after 14 and 21 is the next number, hope this helped have a good day or night. :)
Two new Clash of Clans games are coming out. Clash Heroes will cost $38 to download and $4 per month for membership. Clash Legends will cost only $20 to download but $6 per month for membership.
Write an equation for the cost of Clash Heroes:
Write an equation for the cost of Clash Legends:
Set your 2 equations equal to each other and solve to show when they would cost the same:
Which game is a better “deal” – show your work and label your answers!
Answer:
cl has a better deal
Step-by-step explanation:
ch=38+4m=50
cl=20+6m=50
ch=4*3 months =12+38=50
cl=6*5 months=30+20=50
identify the trinomial that is a perfect square
Answer:
b
Step-by-step explanation:
Light yogurt sales in the United States have been declining eight percent per year since 2016 due to younger consumers choosing to switch to Greek yogurt. In 2016, distributors had $1.2 billion in light yogurt sales. Which equation could be used to represent light yogurt sales (in billions of dollars) in the U.S. 't' years after 2016? *
a. y= 1.2(0.92)^t
b. y= 1.2 (8)^t
c y= 1.2(0.08)^t
d. y=1.2(1.08)^t
Tamia uses 9.9 pints of white paint and blue paint to paint her bedroom walls. 1/4 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answer:
7.425 pints
Step-by-step explanation:
Given that Tamia uses white and blue paint and 1/4 of the amount is white paint then the fraction of blue paint
= 1 - 1/4
= 3/4
Given that the total quantity of paints is 9.9 pints, the number of blue pints used to paint her bedroom walls
= 3/4 * 9.9
= 29.7/4
= 7.425 pints
Area (pic included*) Explain why !!
Answer:
B. [tex]A(h) =3h^3 -h[/tex]
Step-by-step explanation:
Given is the figure of a trapezoid with following descriptions.
[tex] b_1=2h^2 +2[/tex]
[tex] b_2 =2h^2 +2+ 2h^2-6=4h^2 - 4[/tex]
[tex] height = h[/tex]
Now, by formula of area of trapezoid, we have:
[tex]A(h) =\frac{1}{2} (b_1+b_2)h[/tex]
[tex]A(h) =\frac{1}{2} (2h^2 +2+4h^2 - 4)h[/tex]
[tex]A(h) =\frac{1}{2} (6h^2 -2)h[/tex]
[tex]A(h) =\frac{1}{2} (6h^3 -2h)[/tex]
[tex]A(h) =\frac{1}{2} \times 2(3h^3 -h)[/tex]
[tex]A(h) =(3h^3 -h)[/tex]
[tex]A(h) =3h^3 -h[/tex]
5. Krista wants to paint her
house. She buys 7 gallons of
paint. She uses of the paint on
the front of her house and then
buys 14 more gallons of paint.
How many gallons of paint does
she have left?
Answer:
7
Step-by-step explanation:
PLEASE HELP ME OUT! QUICK POINTS FOR YOU!
All information needed can be found in the image below
Thank you in advance.
Answer:
A med - A small = (36 - 16)pi inch^2
= 20 pi inch^2
Step-by-step explanation:
Area of medium pizza = 6^2 pi
Area of small pizza = 4^2 pi
A med = 36 pi inch^2
A small = 16 pi inch^2
A med - A small = (36 - 16)pi inch^2
Edited :sorry i thought that 8 and 12 where radiuses
Determine the equation of the graph. "Will give brainlist if right"
Answer:
I uploaded a file hosting link for your question!
Here is the link:
bít.ly/botshavenobrains
Step-by-step explanation:
Answer is A
Hope it helped :)
Are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
yes
Step-by-step explanation:
Marius combined 4/8 gallon of lemonade, 3/8 gallon of cranberry juice, and 6/8 gallon of soda water to make punch for a party. How many gallons of punch did he make in all?
13/8, which you can also write as 1 5/8
Greg bought a jacket for $35.23, a flag for $10.75, and a baseball cap for $17.25. He paid $50 and
the rest he borrowed from his friend. If Greg got $6.77 in change from the cashier, how much did he
borrow from his friend to pay for all the items?
Answer:
His friend gave Greg a 20$ bill.
Step-by-step explanation:
35.23+10.75+17.25=63.23
63.23-50= 13.23
13.23+6.77= 20
Answer:
He borrowed $6.46
Step-by-step explanation:
Add the totals up together. 35.23 + 10.75 + 17.25 to get 63.23
Subtract 50 from 63.23 (63.23 - 50.00) to get 13.23.
Subtract 6.77 from 13.23 (13.23 - 6.77) to get 6.46.
He borrowed $6.46 from his friend!
Hope this helps! Pls make brainliest
Drag each label to the correct location on the image.
Here is an addition sentence:
13 + (12 + 3) = 28
Drag the numbers and the parentheses to create an equivalent addition sentence that illustrates the associative property of addition.
these are the stuff
( ) 13 12 3 28
Blank + Blank+Blank=
Which of the following expressions is equivalent to (12x4−4x3+7x+6)+(3x2−4x+14)?
A
12x4−x3+3x+20
B
15x6−8x4+21x+6
C
15x6−4x3+3x+20
D
12x4−4x3+3x2+3x+20
Answer:
It believe its C
Step-by-step explanation:
Choose the correct phrase for 8n
A 8 plus n
B 8 divided by n
C 8 times n
Jeff wants to know how many miles it is from his house to school. On a map the distance is 3 inches. If the scale is 1/2 inch for every 2 miles, how many miles is it to his school?
Answer:
12 miles
Step-by-step explanation:
1/2 inch per 2 miles
3 inches away
3 ÷ 1/2 = 6
6 * 2 = 12