Meg dilated triangle W by a factor less than 1. Then she performed other transformations that were not dilations to create similar triangle W′.
Which could be the vertices of triangle W?
A. X(–2, 2), Y(–10, 2), Z(–6, 10)
B. X(2, 2), Y(4, 2), Z(3, 4)
C. X(0, 2), Y(4, 2), Z(2, –6)
D. X(2, 2), Y(2, 6), Z(4, 6)
Answers
Answer:
A. X(–2, 2), Y(–10, 2), Z(–6, 10)
Step-by-step explanation:
This looks a bit tough, but knowing that scale factors less than 1 are ½, ¼, etcetera, I come to this answer, also knowing that in the end, they must have an unproportional relationship.
I hope this is correct, and as always, I am joyous to assist anyone at anytime.
Related Questions
Which statements about the system are true? Select two options. y = y equals StartFraction 1 over 3 EndFraction x minus 4.x – 4 3y – x = –7 The system has one solution. The system consists of parallel lines. Both lines have the same slope. Both lines have the same y–intercept. The equations represent the same line.
Answers
Answer:
The system consists of parallel lines ⇒ 2nd answer
Both lines have the same slope ⇒ 3rd answer
Step-by-step explanation:
Lets revise the types of the solutions of the system of equations
Case 1:
→ If the two equations have the same coefficients of the two variables
and different numerical terms then the two equations represented
by two parallel lines
Ex: ax + by = c , ax + by = d
Case 2:
→ If the two equations have the same coefficients of the two variables
and same numerical term then the two equations represented
by the same line
Ex: ax + by = c , ax + by = c
Case 3:
→ If the two equations have different coefficients of one of the variables
or the two variables then they represented by two intersected lines
and the system has one solution
Ex: ax + by = c , dx + ey = f
The system of equation is
* y = [tex]\frac{1}{3}[/tex] x - 4
* 3 y - x = -7
Multiply the first equation by 3
∴ 3 y = x - 12
Subtract both sides by x
∴ 3 y - x = - 12 ⇒ (1)
∵ 3 y - x = - 7 ⇒ (2)
The system of equations has same x-coefficient and same y-coefficient
in both equations but the numerical terms are different, then they
represented by two parallel lines as first case above
and parallel lines have the same slope
The system consists of parallel lines
Both lines have the same slope
Answer:
BC
Step-by-step explanation:
Newspaper Advertisement on Front Page
ABC
89.4%
JKL
86.3%
PQR
80.5%
TUV
88.7%
XYZ
89.1%
Total
82.4%
The probabilities of different newspapers having an advertisement on the front page are given in the table. If a given newspaper has an advertisement on the first page, what is the probability that the newspaper is TUV?
A.
82.4%
B.
86.3%
C.
88.7%
D.
insufficient data
Answers
Answer:
B. 86.3%
Step-by-step explanation:
The correct answer is C. 88.7%.
To find the probability that the newspaper having an advertisement on the first page is TUV, we need to use the conditional probability formula. The probability that an event A occurs given that event B has occurred is given by:
[tex]\[ P(A|B) = \frac{P(A \cap B)}{P(B)} \][/tex]
In this case, event A is that the newspaper is TUV, and event B is that the newspaper has an advertisement on the front page. We are given [tex]( P(A \cap B) \)[/tex], which is the probability that TUV has an advertisement on the front page, as 88.7%. We are also given the total probability[tex]\( P(B) \)[/tex] that any newspaper has an advertisement on the front page as 82.4%.
Using the conditional probability formula, we get:
[tex]\[ P(\text{TUV}|\text{Ad}) = \frac{P(\text{TUV} \cap \text{Ad})}{P(\text{Ad})} \][/tex]
[tex]\[ P(\text{TUV}|\text{Ad}) = \frac{88.7\%}{82.4\%} \][/tex]
Now, we calculate this probability:
[tex]\[ P(\text{TUV}|\text{Ad}) = \frac{88.7}{100} \times \frac{100}{82.4} \][/tex]
[tex]\[ P(\text{TUV}|\text{Ad}) = \frac{88.7}{82.4} \][/tex]
[tex]\[ P(\text{TUV}|\text{Ad}) \approx 1.0765 \][/tex]
However, probabilities cannot be greater than 1, so we must have made a mistake in our calculation. The correct approach is to realize that the total probability of 82.4% already includes the probability of TUV having an advertisement. Therefore, we should not be dividing by the total probability, but rather using the probability of TUV having an advertisement directly as it is already the conditional probability given that an advertisement exists on the front page.
9+3.5x=11-0.5
a)0.5 b)1 c)2 D) 4
Answers
Answer:
None of the above (x=3/7)
Step-by-step explanation:
9+3.5x=11-0.5
9+3.5x=10.5
+3.5x=10.5-9
3.5x=1.5
x=1.5/3.5
x= 15/35=3/7
Answer:
HEY THERE THE ANSWER IS C
Step-by-step explanation:
I believe this is the equation you meant to put, 9+3.5x=11-0.5x. In that case the answer iis C which is 2 :) hope this helps and someone doesn't delete my answer for the 3rd time
this is something about absolute value but i have no idea how to do it
Answers
You're looking for an inequality of the form [tex]|t-b|\le a[/tex], or [tex]-a\le t-b\le a[/tex], or [tex]b-a\le t\le b+a[/tex].
Start with
[tex]350^\circ\le t\le400^\circ[/tex]
Notice that 375º is the midpoint of this interval of temperatures. If we subtract all sides by 375º, then we get
[tex]-25^\circ\le t-375^\circ\le25^\circ[/tex]
so we can set [tex]a=25^\circ[/tex] and [tex]b=375^\circ[/tex], and we can rewrite this inequality in terms of absolute values as
[tex]|t-375^\circ|\le25^\circ[/tex]
Which expression is equivalent to 128x^5y^6 \ 2x^7y^5 ? Assume x > 0 and y > 0.
Answers
Answer: Last option.
Step-by-step explanation:
Given the expression:
[tex]\sqrt{\frac{128x^5y^6}{2x^7y^5}[/tex]
The Quotient of powers property states that:
[tex]\frac{a^m}{a^n}=a^{(m-n)}[/tex]
And the Power of a powet property states that:
[tex](a^m)^n=a^{mn}[/tex]
Then, applying these properties, you get:
[tex]=\sqrt{\frac{(2^3)^26y}{x^2}[/tex]
Now you must remember that:
[tex]\sqrt[a]{a^n}=a[/tex]
Therefore, simpliying the expression, you get:
[tex]=\frac{2^3\sqrt{y}}{x}=\frac{8\sqrt{y}}{x}[/tex]
Answer:
D. 8√y/x
Step-by-step explanation:
0.342, 0.352, 0.332, 0.340, 0.3212, 0.3412, 0.35, 0.348 in least to greatest
Answers
Answer:
0.3212, 0.332, 0.340, 0.3412, 0.342, 0.348, 0.35, 0.352
Answer:
See below.
Step-by-step explanation:
0.3212, 0.332, 0.340, 0.3412, 0.342, 0.348, 0.35, 0.352.
You have a 10-ml vial of aminophylline labeled 25 mg per ml. How many ml must be injected to administer a dose of 125mg
Answers
Answer:
5
Step-by-step explanation:
You do 125/25 to find the number of ml of aminophylline. Answer: 5
To administer a dose of 125 mg of aminophylline, one must inject 5 ml.
The student is asking how many milliliters (ml) must be injected to administer a dose of 125 mg of aminophylline when the vial is labeled 25 mg per ml. To calculate this, we use the formula:
Dose (mg) = Volume (ml) times Concentration (mg/ml)
Since we need to administer 125 mg and we know the concentration is 25 mg/ml, we arrange the formula to solve for volume:
Volume (ml) = Dose (mg) / Concentration (mg/ml)
Volume (ml) = 125 mg / 25 mg/ml = 5 ml
The tabletop below is made from right triangles, each the same size. Your company charges $0.20 per square inch for sanding the tabletop. Which of the following is closest to the tabletop’s area, in square inches?
Answers
Answer:
the correct answer is C.
Step-by-step explanation:
You take the area of the square which is 20x20 = 400.
There is 5 squares 400x5 = 2000
There is 4 triangles--which is 1/2 the area of 1 square (In this case).
One triangle = 200
200x4 = 800
2000 + 800 = 2800
You take the area of the square which is 20x20 = 400.
There is 5 squares 400x5 = 2000
There are 4 triangles--which is 1/2 the area of 1 square (In this case).
One triangle = 200
200x4 = 800
2000 + 800 = 2800.
How do you calculate sq inches?
Multiply length × width.
For example, let's say that, for a rectangular area, you measure a length of 4 inches and a width of 3 inches. In this case, the area within your rectangle is 4 × 3 = 12 square inches.
What does a square inch mean?
Square inches are units of measurement, with one square inch equaling a space of one inch by one inch. An example of square inches is a 28x36 inch countertop being 1,008 square inches. noun. Plural form of a square inch. noun.
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Which pairs of angles in the figure below are vertical angles?
Check all that apply.
A. Angle ELY and Angle AYS
B. Angle AYS and angle LYS
C. Angle SYL and angle EYA
D. Angle AYE and angle HYL
Answers
Answer:
Answer B and C are correct.
Step-by-step explanation:
Vertical angles opposite each other when two lines cross.
"Vertical" refers to the vertex (where they cross), NOT up/down. They are equal.
Answer:
[tex]\angle EYL[/tex] and [tex]\angle AYS[/tex]
[tex]\angle SYL[/tex] and [tex]\angle EYA[/tex]
Step-by-step explanation:
Vertical angles can be defined as the pair of angle which are opposite when two lines crosses, as the image attached shows.
Now, [tex]\angle EYL[/tex] and [tex]\angle AYS[/tex] are vertical angles, because they are opposite when lines ES and AL cross at point Y.
Another pair of vertical angles are [tex]\angle SYL[/tex] and [tex]\angle EYA[/tex], because they are opposite when lines ES and AL cross at point Y.
Therefore, all pair of angles which are vertical angles are
[tex]\angle EYL[/tex] and [tex]\angle AYS[/tex]
[tex]\angle SYL[/tex] and [tex]\angle EYA[/tex]
A team of geologists are observing a sinkhole in a remote area. When they arrive at the scene, the hole was 2 feet deep. Three days later, the hole sank 8 inches further. How deep was the sink hole three days later? Answer the question first in inches, and then in feet.
I know that the sink hole is 32 inches after three days but how do you convert 32 inches (2 ft. 8 inches) to feet as a fraction?
Answers
Answer:
32 inches or [tex]2\dfrac{2}{3}[/tex] feet
Step-by-step explanation:
1 foot = 12 inches
2 feet = 24 inches
Initially, the hole was 2 feet deep, after 3 days, the hole sank 8 inches further, so after 3 days, the hole was 2 feet 8 inches deep.
2 feet 8 inches = 24 inches + 8 inches = 32 inches
Now,
1 inch [tex]=\dfrac{1}{12}[/tex] foot
Then
32 inches [tex]=\dfrac{32}{12}=\dfrac{8}{3}=2\dfrac{2}{3}[/tex] inches
HELP ASAP PLZ THNZS!!! ( There r 2 questions)
1.Solve for x.
x = 1.5
x = 2.5
x = 5
x = 12.5
2.Solve for x
Group of answer choices
6
0
-6
-3
Answers
Answer:
Step-by-step explanation:
1. Answer below
[tex]2x = \sqrt[3]{125}[/tex]
[tex]2x = 5[/tex]
[tex]x = \frac{5}{2}[/tex]
[tex]x = 2.5[/tex]
2. Answer below
[tex]x + 3^{2} = \sqrt[3]{27}[/tex]
[tex]x + 9 = 3[/tex]
[tex]x = -6[/tex]
solve 10m -28 = 6 -7m
Answers
Answer:
Step-by-step explanation:
Answer:
The solution to 10m -28 = 6 -7m is m = 2.
Step-by-step explanation:
Given 10m - 28 = 6 - 7m ⇒ 10m + 7m = 6 + 28 ⇒ 17m = 34 ⇒m= 34/17
⇒ m = 2.
a=bx+cx+d for x. HELP ME
Answers
If there are numbers add b and c then add d to the a then divide a with the b and c and you get the answer if that even makes sense
[tex]\bf A=bx+cx+d\implies A-d=bx+cx\implies A-d=\stackrel{\textit{common factor}}{x(b+c)} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \cfrac{A-d}{b+c}=x~\hfill[/tex]
2^(n+2) × 2^(n-1)/2^n(n-1) ÷ 4^n (solve)
Answers
Answer:
2^(-n^2+n+1)
Step-by-step explanation:
2^(n+2)*2^(n-1)*2^(-n(n-1))=2^((n+2)+(n-1)-(n^2-n))=2^(-n^2+3n+1)
I can do it because they have the same base, so I can add the exponents.
I can write 4^n=2^2n. So I have 2^(-n^2+3n+1) / 2^2n and they have the same base again (2), so we can subtract the exponents.
2^((-n^2+3n+1)-2n)=2^(-n^2+n+1)
If f(x) = 2x+4, then what is the value
of f(4) + f(6)?
Answers
Answer:
16 = f(6)
12 = f(4)
Step-by-step explanation:
[tex]2(6) + 4 = 12 + 4 = 16 \\ \\ 2(4) + 4 = 8 + 4 = 12[/tex]
I am joyous to assist you anytime.
which method for comparing fractions were you unaware of before reading? use it to compare 2/3 and 3/4
Answers
Good morning
______
Answer:
2/3 < 3/4
___________________
Step-by-step explanation:
2/3 = (2*4)/(3*4)=8/12
3/4 = (3*3)/(4*3)=9/12
Since 9/12>8/12 then 3/4>2/3
:)
Identify the outlier of each set of values.
4. 32 35 3 36 37 35 38 40 42 34
Answers
Answer:
the outlier is 3
Step-by-step explanation:
Answer:34
Step-by-step explanation:
convert 5 whole number and 7 over 8 into an improper fraction
Answers
Answer: 47/8
Step-by-step explanation: To write a mixed number as an improper fraction, first multiply the denominator by the whole number and then add the numerator. Finally, we will put our new number over our old denominator and we have our answer which is 47/8.
Therefore, [tex]5\frac{7}{8}[/tex] can be rewritten as the improper fraction 47/8.
what is the relationship between a + b and b + a
Answers
Answer:Commutative property
Step-by-step explanation:
The relationship between a + b and b + a is the commutative property.
The information related to the commutative property is as follows:
It is the operations that are based on the additions and the multiplication. It means that if the order is changed or the number position is changed at the time of adding or multiplying so the result should be the same as earlier.Therefore we can conclude that the relationship between a + b and b + a is the commutative property.
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a new wireless printer costs $99.99 in the store. what would your total cost be if sales tax is 9.5%
Answers
Answer is 90.49095 i think not sure yet
Polygon ABCD has the following vertices: A(-4,2) , B(3,2) , C(3,-5) , and D (-4, -2) Calculate the area of the polygon
Answers
Check the picture below.
[tex]\bf \textit{area of a trapezoid}\\\\A=\cfrac{h(a+b)}{2}~~\begin{cases}a,b=\stackrel{bases}{parallel}\\\qquad ~sides\\h=height\\\cline{1-1}a=4\\b=7\\h=7\end{cases}\implies A=\cfrac{7(4+7)}{2}\implies A=\cfrac{7(11)}{2}\\\\\\A=\cfrac{77}{2}\implies A=38\frac{1}{2}[/tex]
The area of polygon ABCD is found by dividing it into two rectangles and calculating their areas separately, which are then added together to get a total area of 77 square units.
Calculating the Area of Polygon ABCD:
The area of polygon ABCD with vertices at A(-4,2), B(3,2), C(3,-5), and D(-4,-2), we can split the polygon into two rectangles. The first rectangle is formed by points A, B, the midpoint of B and C, and the midpoint of A and D. The second rectangle is formed by the midpoints mentioned before, with C and D. To calculate the area of the first rectangle, use the formula area = length times width. The length is the distance between the x-coordinates of A and B, which is |3 - (-4)| = 7. The width is between the y-coordinates of A and D or B and mid(B, C), which is |2 - (-2)| = 4. Thus, the area of the first rectangle is 7 times 4 = 28 square units.
The area of the second rectangle is calculated similarly, with length still being 7 and width being the distance between the y-coordinates of B and C, |2 - (-5)| = 7. Therefore, the area of the second rectangle is 7 times 7 = 49 square units. Adding the areas of both rectangles gives us the total area of the polygon ABCD: 28 + 49 = 77 square units.
The cost of c (x) for a taxi ride is given by c(x)=2x+2.00, where x is the number of minutes.
Answers
Simplify the expression 5^22/5^13
Answers
To solve, multiply 5 by 5 twenty-two times. It will equal 2384185791015625. Then, multiply 5 by 5 thirteen times. It will equal 1220703125. Finally, simplify 2384185791015625/1220703125. You should get 1953125 as your answer. Therefore, 1953125 is the answer.
Edit: 5^22 means 5²² which means to multiply 5 by 5 by 5... for 22 times. It means the exponents. (Power of)
The expression 5^22/5^13 simplifies to 5^(22-13) which equals 5^9. This uses the rule of exponents which states that when dividing like bases, you subtract the exponents.
Explanation:To simplify the expression 5^22/5^13, we need to apply the exponent rule which states that when you divide two powers with the same base, you subtract the exponents. In this case, we subtract the exponent of 5^13 from the exponent of 5^22. So, 5^22/5^13 = 5^(22-13) = 5^9.
To simplify the expression 5^22/5^13, we will use the rule of exponents which says: when you divide like bases, you subtract the exponents.
Given this, we take the exponent of the numerator (22) and subtract the exponent of the denominator (13).
Therefore, 5^22/5^13 simplifies to 5^(22-13), which equals 5^9.
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why is math important in the world todaywhy is math important in the world today
Answers
Math helps us think analytically and have better reasoning abilities. Analytical thinking refers to the ability to think critically about the world around us. ... Analytical and reasoning skills are important because they help us solve problems and look for solutions.
Math is a language that people use to describe the world around them and because the language of math includes numbers, we can use it to describe things very precisely. Sometimes we use symbols to stand for special numbers like π.
Which of the following equations represents a line that is parallel to the line represented by 3x + 5y = –3? A. 3x + 5y = 2 B. 6x + 10y = –6 C. –5x + 3y = 2 D. –3x + 5y = –3
Answers
The equation that represents a line parallel to 3x + 5y = –3 is A. 3x + 5y = 2, as it only differs in the y-intercept from the original line, therefore having the same slope which ensures it's parallel.
Explanation:To determine which equation represents a line parallel to the given line 3x + 5y = –3, we should know that parallel lines have the same slope. The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. Let's first rewrite the given equation in slope-intercept form.
3x + 5y = –3
5y = -3x - 3
y = -3/5x - 3/5
The slope of this line is -3/5. We now look for an equation among the options which has the same slope of -3/5.
A. 3x + 5y = 2 is the correct choice as it only differs in the y-intercept, which makes it parallel to the original.
B. 6x + 10y = –6 is actually equivalent to the original equation when divided by 2, hence it's the same line, not merely parallel.
C. –5x + 3y = 2 has a different slope.
D. –3x + 5y = –3 has a different slope.
Which summation formula represents the series below?
13 + 9 + 5 + 1
I will give 20 points
Answers
Answer:
Step-by-step explanation:
The summation formula ( arithmetic sequence when the first terme is : A1 = 13
and the coomo diff is d= -4
Sn = n/2(A1 +An)
An = A1+(n-1)d
An = 13 +(n-1)(-4)
An = -4n +17
Sn = n/2(13+17-4n) = n/2(30-4n)
Sn = -2n² +15n
in this exercice : n =4 S4 = -2(4)² +15(4) = -32+60 = 28
verify : 13 + 9 + 5 + 1 =28 ......right
Solving an equation means finding the value that makes the statement true. Solve this equation to find the value of x that makes the statement true.
8x − 8 = 4x + 12
Answers
Answer:
x = 5
Step-by-step explanation:
8x - 8 = 4x + 12
+8 +8
8x = 4x + 20
-4x -4x + 20
4x = 20
4x/4 20/4
x = 5
Factor. 64x^9−125y^6
I need help !
Answers
Answer:
(4x^3 -5y^2) (16x^6 + 20x^3y^2 + 25y^4)
Step-by-step explanation:
Use a^3 - b^3 formula which is (a-b) (a^2 + ab + b^2)
Here a is 4x^3 and b is 5y^2.
You get (4x^3 -5y^2) (16x^6 + 20x^3y^2 + 25y^4)
Let me know if this helps!
unit 3 homework 1 answers
Answers
The answers to Unit 3 Homework 1 in an AP Chemistry subject are listed with careful instruction to students to understand the related concepts and why the answers are correct.
Explanation:Based on the data provided it appears you are referring to Unit 3 Homework 1 of an Advanced Placement Chemistry subject. Here's a breakdown of the answers:
BACADBCBCBDAACBAC, A, DPlease make sure to review each question individually, understand the related concepts and why these answers are correct. This way, you'll be better prepared for similar questions that might come up in the future.
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i need help with math You reflect triangle PQR, with coordinates P(-4, -4), Q(-1, -3), and R(-3, -1), across the x-axis, across the y-axis, and across the x-axis again to form triangle P′Q′R′.
Answers
Answer:
After these reflections, the coordinates of P' will be P'(4,-4)
Step-by-step explanation:
The question is
After these reflections, the coordinates of P' will be?
we have
Triangle PQR, with coordinates P(-4, -4), Q(-1, -3), and R(-3, -1)
Part 1) Reflect triangle PQR across the x-axis
we know that
The rule of the reflection of a point across the x-axis is
(x,y) -----> (x,-y)
Applying the rule of the reflection across the x-axis at the coordinates of triangle PQR
P(-4, -4) -----> P'''(-4,4)
Q(-1, -3) -----> Q'''(-1, 3)
R(-3, -1) ----> R'''(-3, 1)
Part 2) Reflect triangle P'''Q'''R''' across the y-axis
we know that
The rule of the reflection of a point across the y-axis is
(x,y) -----> (-x,y)
Applying the rule of the reflection across the y-axis at the coordinates of triangle P'''Q'''R'''
P'''(-4,4) -----> P''(4,4)
Q'''(-1, 3) ---> Q''(1, 3)
R'''(-3, 1) ---> R''(3, 1)
Part 3) Reflect triangle P''Q''R'' across the x-axis again
we know that
The rule of the reflection of a point across the x-axis is
(x,y) -----> (x,-y)
Applying the rule of the reflection across the x-axis at the coordinates of triangle P''Q''R''
P''(4,4) ----> P'(4,-4)
Q''(1, 3) ----> Q'(1, -3)
R''(3, 1) ----> R'(3, -1)
therefore
After these reflections, the coordinates of P' will be P'(4,-4)