Because the transformation is a dilation, we conclude that the buildings are not congruent.
Is building B congruent to building A?
You need to remember that if the transformation applied to A is a dilation or a contraction, then the figures will not be congruent.
Where for a point (x, y), a dilation of scale factor k is written as:
(kx, ky).
The vertices of building A are:
(x₁, y₁), (x₂, y₂), (x₃, y₃), and (x₄, y₄).
And the vertices of building B are a dilation of the above ones, such that the dilation has a scale factor k = 2.
(2x₁, 2y₁), (2x₂, 2y₂), (2x₃, 2y₃), and (2x₄, 2y₄).
So, because there is a dilation, building B is not congruent to building A.
If you want to learn more about transformations, you can read:
https://brainly.com/question/3457976
100 Points!!! WILL MARK BRAINLIEST!!!
Daisy is a botanist who works for a garden that many tourists visit. The function f(s) = 3s + 35 represents the number of flowers that bloomed, where s is the number of seeds she planted. The function s(w) = 15w represents the number of seeds she plants per week, where w represents the number of weeks.
Part A: Write a composite function that represents how many flowers Daisy can expect to bloom over a certain number of weeks. (4 points)
Part B: What are the units of measurement for the composite function in Part A? (2 points)
Part C: Evaluate the composite function in Part A for 36 weeks. (4 points)
Answer:
A) [tex]f(w)=45w+35[/tex]
B) f(w) is the total number of flowers that bloomed
w is the number of weeks
C) 1655 flowers
Step-by-step explanation:
Part A
[tex]f(s) = 3s + 35[/tex]
[tex]s(w) = 15w[/tex]
To create the composite function, replace the variable [tex]s[/tex] in the function f(s) with function s(w):
[tex]\implies f(w)=3(15w)+35[/tex]
[tex]\implies f(w)=45w+35[/tex]
Part B
f(w) is the total number of flowers that bloomedw is the number of weeksPart C
Substitute w = 36 into the compositie function and solve:
[tex]\implies f(36)=45(36)+35=1655[/tex]
Dividing by 1/2 means you are finding how many halves are in the dividend
to multiply it by 2 because two is the dividend and that is closest to 1
4-5 practice proving right triangles congruent worksheet 1-7
Step-by-step explanation:
1. mzoGE = M2GOE
1. Given
2. GE = OE
2.
3. E is the midpoint of AT
3. Given
4. AE ET
4. Definition of the midpoint of a line segment.
5. AE = ET
5. Congruent segments have equal length.
6. MLAEG > MZTEO
6. Given
7. AG > TO
PLS HELP!!!! No links pls and Ty<3333
Answer:
The Circumference is 150.7 inches
Step-by-step explanation:
The cricumference of a circle is given by the formula:
[tex]C = 2\pi r[/tex]
We are given the radius and are given 3.14 for pi.
Substituting these values into the euation gives us:
C = 2(3.14)(24)
C = (6.28)×(24) = 150.72
The Circumference is 150.7 inches to the nearest tenth.
equation of circle: mastery test HELPPPP PLS !!
PQ is the diameter so the midpoint of PQ is the center of the circle. if we suppose the center point of the circle called o then ;
[tex]o = \frac{pq}{2} \\ [/tex]
[tex]pq = \sqrt{ { (- 10 - 6})^{2} + ({10 - ( - 2)})^{2} } [/tex]
[tex]o = \frac{( -10 ,10) + (6 , - 2) }{2} \\ [/tex]
[tex]o = \frac{( - 10 +6 ,10 - 2)}{2} \\ [/tex]
[tex]o = ( \frac{ - 4}{2} , \frac{8}{2} ) \\ [/tex]
[tex]o = ( - 2,4)[/tex]
For the second step we need to find the radius of the circle which has the half the PQ distance measure, so we have to find the the PQ distance and divide it by 2 :
_____________________________________________
As u know the distance between 2 point is going to find by following formula :
[tex]pq = \sqrt{ {(x(p) - x(q)})^{2} + {(y(p) - y(q)})^{2} } \\ [/tex]
[tex]pq = \sqrt{ ({ - 10 - 6})^{2} + ({10 - ( - 2)})^{2} } [/tex]
[tex]pq = \sqrt{ ({ - 16})^{2} + ({12})^{2} } [/tex]
[tex]pq = \sqrt{256 + 144} [/tex]
[tex]pq = \sqrt{400} [/tex]
[tex]pq = 20[/tex]
Thus :
[tex]radius = \frac{pq}{2} \\ [/tex]
[tex]radius = \frac{20}{2} \\ [/tex]
[tex]radius = 10[/tex]
_____________________________________________
Ok we're almost done cuz we have what we needed:
If we suppose that the first coordinate of the center is a and the second coordinate of the center is b and the radius shown by r then :
[tex] ({x -a})^{2} + ( {y - b})^{2} = {r}^{2} [/tex]
Is the equation of the circle in the standar form thus :
[tex] ({x - ( - 2)})^{2} + ({y - 4})^{2} = {10}^{2} \\ [/tex]
[tex] ({x + 2})^{2} + ({y - 4})^{2} = 100[/tex]
As u can see option B is the correct answer.
And we're done ...
Have a great day ♡♡♡♡♡Suzie paid a total of \$324$324dollar sign, 324 for xxx tickets to a rock festival.
How much did each ticket cost?
Write your answer as an expression
Answer:
324/x
khan let me know
Solve the following equation using distribution. 1 2 (4x − 12) = 5 ( 1 2 ) (4x) − ( 1 2 ) (12) = 5 2x − 6 = 5 +6 +6 2x = 11 What is the value of x? 5.5 9 11.5 13
Answer:
5.5
Step-by-step explanation:
Answer: IT IS 5.5I DID THE TEST
Step-by-step explanation:
What is the value of the expression 16 + 56/n when n = 8?
Answer:
23
Step-by-step explanation:
[tex]16 + \frac{56}{n} [/tex]
[tex]where \: n = 8[/tex]
[tex]16 + \frac{56}{8} [/tex]
[tex]23[/tex]
[tex]56 / 8 = 7[/tex]
Add second[tex]7 + 16 = 23[/tex]
With that information, your answer is twenty-three.
The circumference of a circular field is 166.42 yards. What is the diameter of the field? Use 3.14 for it and do not round your answer.
Answer:
52.98
Step-by-step explanation:
See attached image to find radius
diamater = Radius * 2
26.49 Yards * 2 = 52.98
Can someone pleas help???????
Answer:
written all the angles below:
m<1 = 35°
m<2 = 77°
m<3 = 49°
m<4 = 77°
m <5 = 62°
m<6 = 28°
hope that helps...
Which of the following tables shows the correct steps to transform x2 + 10x + 24 = 0 into the form (x − p)2 = q?
[p and q are integers] (5 points)
Select one:
a.
Step 1 x2 + 10x + 24 − 1 = 0 − 1
Step 2 x2 + 10x + 23 = −1
Step 3 (x + 5)2 = −1
b.
Step 1 x2 + 10x + 24 − 2 = 0 − 2
Step 2 x2 + 10x + 22 = −2
Step 3 (x + 5)2 = −2
c.
Step 1 x2 + 10x + 24 + 2 = 0 + 2
Step 2 x2 + 10x + 26 = 2
Step 3 (x + 5)2 = 2
d.
Step 1 x2 + 10x + 24 + 1 = 0 + 1
Step 2 x2 + 10x + 25 = 1
Step 3 (x + 5)2 = 1
The correct steps to transform x² + 10x + 24 = 0 into the form (x − p)² = q is
d.
Step 1: x² + 10x + 24 + 1 = 0 + 1
Step 2: x² + 10x + 25 = 1
Step 3: (x + 5)² = 1
To transform x² + 10x + 24 = 0 into the form (x − p)² = q where [p and q are integers], we perform the following steps of transformation.
What is transformation?This is process of converting one expression to the other by performing some mathematical operations.
How to transform x² + 10x + 24 = 0 into the form (x − p)² = qx² + 10x + 24 = 0
We add 1 to both sides.So,
Step 1: x² + 10x + 24 + 1 = 0 + 1
Thus, we have
Step 2: x² + 10x + 25 = 1
Since the left-hand-side x² + 10x + 25 = (x + 5)²
So, we have
x² + 10x + 25 = 1
Step 3: (x + 5)² = 1
So, the correct steps to transform x² + 10x + 24 = 0 into the form (x − p)² = q is
d.
Step 1: x² + 10x + 24 + 1 = 0 + 1
Step 2: x² + 10x + 25 = 1
Step 3: (x + 5)² = 1
Learn more about transformation here:
https://brainly.com/question/27224339
help me please please
Answer:
5 units down, two to the left. Therefore, x+-2, y+-5
Step-by-step explanation:
Complete the work to find the dimensions of the rectangle. w(2w 4) = 240 2w2 4w = 240 2w2 4w – 240 = 0 2(w 12)(w – 10) = 0 what is the width of the rectangle? what is the length of the rectangle?
Answer:
10 units wide; 24 units long
Step-by-step explanation:
The width is represented by the variable w in the given equation ...
w(2w +4) = 240
__
This is conveniently divided by 2. Writing in standard form lets us see potential factoring.
w(w +2) = 120
w² +2w -120 = 0
(w +12)(w -10) = 0 . . . . . . factor
w = -12 or w = 10 . . . . . width
2w+4 = 2(10) +4 = 24 . . . length
The positive solution to this equation is the one of interest here.
The width of the rectangle is 10 units; its length is 24 units.
Can someone please give me the (Answers) to this? ... please ...
I need help….
Step-by-step explanation:
1.
the indicated point in the middle is the center point of the circle.
the line perpendicular to a chord going through that center solid the chord in half.
so,
x = 9
2.
Pythagoras
c² = a² + b²
13.5² = x² + 10.4²
182.25 = x² + 108.16
x² = 74.09
x = 8.607554821...
3.
Intersecting Chords Theorem
(part one of chord 1)×(part two of chord 1) =
= (part one of chord 2)×(part two of chord 2)
6x = 10×9 = 90
x = 90/6 = 30/2 = 15
4.
Intersecting Chords Theorem again
x(x+3) = 4×10 = 40
x² + 3x = 40
x² + 3x - 40 = 0
generation solution to a quadratic equation
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 3
c = -40
x = (-3 ± sqrt(3² - 4×1×-40))/(2×1) =
= (-3 ± sqrt(9 + 160))/2 = (-3 ± sqrt(169))/2 =
= (-3 ± 13)/2
x1 = (-3 + 13)/2 = 10/2 = 5
x2 = (-3 - 13)/2 = -16/2 = -8
negative values for a length do not make sense, so x = 5 is our solution
5.
Intersecting Chords Theorem
(x+1)×4 = (x-1)×5
4x + 4 = 5x - 5
9 = x
What is the exact circumference of a circle with a radius of 17 mm?
•
8.5T mm
O
177 mm
O 347 mm
O
687 mm
Answer:
[tex]34\pi[/tex]
Step-by-step explanation:
Given,
r = 17 mm
→ Circumference =
[tex]2\pi \: r[/tex]
→ 2x3.14x17
→ 34x3.14 =
[tex]34\pi[/tex]
↓
c = 106.76 mm
find the absolute value of -5/8
Answer:
5/8
Step-by-step explanation:
To find the absolute value you simply remove the negative symbol
What is the value of the expression below if C = 5 and d = 7? A. 65 B.315 c. 15 d. -7
Answer:
Step-by-step explanation:
=2(5)^2 - 5(7)
= 2(25) - 35
= 50 - 35
= 15
Algebra II | Progressions
It’d be very much appreciated if someone could a.) solve this for me, and b.) kindfully explain how to get the correct answer in simple terms. It looks easy, but the lesson isn’t making it make sense. Thank you! :)
Answer:
Option 1
Step-by-step explanation:
Substiute the value of n with 1 to 6 and find each term.
When n = 1 ,
[tex]\sf First \ term = \dfrac{1}{2*1+1}=\dfrac{1}{2+1}=\dfrac{1}{3}\\\\[/tex]
[tex]\sf When n = 2,\\\\Second \ term = \dfrac{2}{2*2+1}=\dfrac{2}{4+1}=\dfrac{2}{5}\\\\[/tex]
When n = 3 ,
[tex]\sf Third \ term = \dfrac{3}{2*3+1}=\dfrac{3}{6+1}=\dfrac{3}{7}[/tex]
When n = 4,
[tex]\sf Fourth \ term =\dfrac{4}{2*4+1}=\dfrac{4}{8+1}=\dfrac{4}{9}\\[/tex]
When n = 5 ,
[tex]\sf Fifth \ term = \dfrac{5}{2*5+1}=\dfrac{5}{10+1}=\dfrac{5}{11}\\\\When \ n = 6,\\\\ \: Sixth \ term =\dfrac{6}{6*2+1}=\dfrac{6}{12+1}=\dfrac{6}{13}[/tex]
[tex]Answer: \dfrac{1}{3}+\dfrac{2}{5}+\dfrac{3}{7}+\dfrac{4}{9}+\dfrac{5}{11}+\dfrac{6}{13}[/tex]
Lane loads his stuck with 3 tons of bricks. How many pounds of bricks does he have
y+4=-12/7(x-1) in standard form
Answer: y + [tex]\frac{12}{7}[/tex]x = -[tex]\frac{16}{7}[/tex]
Step-by-step explanation:
Standard form is Ay + Bx = C,
Given:
y+4=-12/7(x-1)
Rewrite:
y + 4 = [tex]\frac{-12}{7}[/tex](x - 1)
Distribute:
y + 4 = [tex]\frac{-12}{7}[/tex]x + [tex]\frac{12}{7}[/tex]
Subtract 4 from both sides:
y = [tex]\frac{-12}{7}[/tex]x + [tex]\frac{12}{7}[/tex] - 4
Add [tex]\frac{12}{7}[/tex]x to both sides:
y + [tex]\frac{12}{7}[/tex]x = + [tex]\frac{12}{7}[/tex] - 4
Combine like terms:
y + [tex]\frac{12}{7}[/tex]x = -[tex]\frac{16}{7}[/tex]
A standard die is rolled and a coin is tossed. What is the probability that the cube shows a 3 and the coin is tails ?
Answer:
1/12
Step-by-step explanation:
The probality of getting a 3 on a die is ⅙ since they is only one 3 on the 6 sided die. So that will mean there is a 1 in 6 chance to get a 3.
Then the probability of getting tails on a coin is ½ because a coin on has 2 sides.
The probability of getting the 3 on the die and a tail on a coin will be the probability of getting the 3 on the die times the probability of getting the tails on the coin.
⅙×½=1/12
5 x ( 3 + h ) = 15 + 45
Answer:
h=9
Step-by-step explanation:
I did this one and it was right for pre- algebra,
please teach me how to do this
Answer:
16.4
Step-by-step explanation:
x = radius
x = 8.7 + 7.7
x = 16.4
100 Points!! 0_0
Solve and check for extraneous solutions.
5(3x+1)^1/2=10
Please SHow Steps!!! WIll give the brainiest!!
[tex]5\sqrt{3x+1} = 10\\\\\implies \sqrt{3x+1} = \dfrac{10}5 \\\\\implies \sqrt{3x+1} = 2 \\\\\implies 3x +1 = 4\\\\\implies 3x = 4-1 \\\\\implies 3x = 3\\\\\implies x =1[/tex]
Answer:
x = 1
Step-by-step explanation:
Given equation:
[tex]\dfrac{5(3x+1)^1}{2} =10[/tex]
If a term has "1" as it's exponent, it means that it's the number itself. Therefore, we can remove the "exponent".
[tex]:\implies\dfrac{5(3x+1)}{2} =10[/tex]
Simplify the distributive property:
[tex]:\implies\dfrac{15x+5}{2} =10[/tex]
Using cross multiplication:
[tex]:\implies15x+5} =10 \times 2[/tex]
Simplify the R.H.S:
[tex]:\implies15x+5} =20[/tex]
Subtract 5 both sides:
[tex]:\implies15x+5 - 5} =20 - 5[/tex]
Simplify both sides:
[tex]:\implies15x} =15[/tex]
Divide 15 both sides:
[tex]:\implies\dfrac{15x}{15} } =\dfrac{15}{15}[/tex]
Simplify both sides:
[tex]:\implies x= 1[/tex]
Need Help In The Fundamental Counting Principle
Answer:
The fundamental counting principle states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things. possible outcomes of the experiment. The counting principle can be extended to situations where you have more than 2 choices.
Step-by-step explanation:
A market research company wants to collect opinions on the comfort and performance of a new type of sneaker by brand x. which group of individuals would be the best choice for a random sample? ask every fourth person on the street ask every fourth person who is wearing that brand of sneaker ask every fourth employee from the brand x flagship store ask every fourth person who is wearing shoes
The group of individuals would be the best choice for a random sample is to ask every fourth person who is wearing that brand of sneaker.
We have,
A market research company wants to collect opinions on the comfort and performance of a new type of sneaker by brand x.
We have to determine which group of individuals would be the best choice for a random sample.
What is the simple random sampling?
A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen
One of the best methods in random sampling is called quartering.
In quartering, the population is divided into 4 quadrants and the
the sample is obtained on one of the quadrants obtained.
In this case, the procedure to do is:
To ask every fourth person who is wearing that brand of sneaker.
Therefore option A is correct.
To learn more about the sampling visit:
https://brainly.com/question/12892403
Answer:
It's b
Step-by-step explanation:
Took it on edge 2022
HELPPP write an inequality that represents the graph
Answer:
ummm sorrry , can you give a btter stable question?
Step-by-step explanation:
HELP NOW! RIGHT ANSWER=BRAINLIEST
EXCUSE NAIL POLISH!!!!
Answer:
60
Step-by-step explanation:
6% of 250 = 15 = 250 * 0.06
30% of 250 = 75 = 250 * 0.7
75-15=60
Answer:
60
Step-by-step explanation:
Which set of three side lengths will not from a triangle
A 17, 12, 6 C 36, 14, 27
B 25, 38, 13 D 39, 44, 6
Answer:
5tv. 9. v. 9. 9. o. o. o o. o. 9.
Find the area of the figure
Step-by-step explanation:
there is one central rectangle :
from (-4, 2) to (2, -2).
that means it dimensions are 6×4 (for x from -4 to +3, for y from +2 to -2).
and then there are 3 additional triangles
(2, -4) (2, 2) (6, 2)
(-4, -2) (2, -2) (2, -4)
(-6, 2) (-4, 2) (-4, -2)
with the leg lengths
(2, -4) to (2, 2) = 6, and (2, 2) to (6, 2) = 4
(-4, -2) to (2, -2) = 6, and (2, -2) to 2, -4) = 2
(-6, 2) to (-4, 2) = 2, and (-4, 2) to (-4, -2) = 4
the area of the rectangle is
6×4 = 24 square units
the area of the first triangle is
6×4/2 = 3×4 = 12 square units
the area of the second triangle is
6×2/2 = 6 square units
the area of the third triangle is
2×4 = 8 square units.
so, the total area is
24 + 12 + 6 + 8 = 50 square units.