Polygon ABCD, shown in the figure, is dilated by a scale factor of 8 with the origin as the center of dilation, resulting in the image A′B′C′D′. The slope of is .
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Answer:
2
Step-by-step explanation:
answer below, do the math and draw it out then it's easy.
Related Questions
State the postulate or theorem that proves that x||y.
A.converse of the consecutive interior angles theorem
B.converse of the alternate interior angles theorem
C.converse of the corresponding angles postulate
D.converse of the alternate exterior angles theorem
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C.converse of the corresponding angles postulate
The theorem that proves x is parallel to y is the Converse of the Alternate Interior Angles Theorem, which states that if alternate interior angles are congruent, the lines are parallel. The correct answer to the question of which postulate or theorem proves that x is parallel to y is B. Converse of the Alternate Interior Angles Theorem.
Explanation:According to this theorem, if two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel. The other options, such as the converse of the corresponding angles postulate or the converse of the consecutive interior angles theorem, are related but specifically address different sets of angles formed when two lines are cut by a transversal.
In geometry, it is crucial to apply the correct postulates or theorems to prove specific properties, like parallel lines. The reliability of these mathematical proofs, like those in trigonometry or physics, comes from the logical sequence of applying these fundamental principles accurately.
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What is 0.853 to the nearest tenth?
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the bryant family reuion and the jordan family reunion both include a visit to the zoo desert archers different amounts for children and adults in the following system A represents the cost of an adult ticket and C represents the cost of a child ticket. The first equation in the system represents the amount of money the Bryant family spends and the second equation represents the amount of money that the Jordan family spends
12a + 16c =176
10a + 8c =120
Which of the following statements are true?
A. the Bryants take 12 adults and 16 children to the zoo
B. There is a total of 22 children at the reuions
C.There is a total of 18 people at the Jordans reuion
D.16 represents the cost of a child ticket for the Bryant reuion
E. 10 represents the cost of an adult ticket for the Jordan family
F. The Bryant family spends $120 on tickets for the children and adults
G. Together the family spends $296
❗PLEASE HELP❗
Answers
Answer:
D. 16 represents the cost of a child ticket for the Bryant reunion.G. Together the family spends $296Step-by-step explanation:
To find the right answer we have to solve the system of equation:
[tex]\left \{ {{12a+16c=176} \atop {10a+8c=120}} \right.[/tex]
If we multiply the second equation by -2, we could eliminate the c-variable and solve for a-variable:
[tex]\left \{ {{12a+16c=176} \atop {-20a-16c=-240}} \right.\\-8a=-64\\a=\frac{-64}{-8}=8[/tex]
Now, we replace this value in one equation to obtain the other value:
[tex]10a + 8c =120\\10(8)+8c=120\\80+8c=120\\8c=120-80\\c=\frac{40}{8}=5[/tex]
So, the solution of the system is [tex](8,5)[/tex], which means that there are 8 adults and 5 children.
Also, according to the linear expressions The Bryants spend $12 per adult and $16 per child, and a total amount of $176. The Jordan family spend $10 per adult and $8 per child, and a total amount of $120. Both families together spent $296.
Therefore, the right answers are D and G
Use the stem and leaf plot shown to answer the following question.
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37 is the upper quartile value
3 out of 4 students surveyed in a school said they will vote for nuncio for class president predict how many of the 340 students in the school would vote for nuncio
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To predict the number of votes for Nuncio for class president, multiply 3/4 (or 0.75) by the total number of students (340), resulting in a prediction that 255 students would vote for Nuncio.
To predict how many of the 340 students in the school would vote for Nuncio for class president, we need to understand the proportion that we got from the survey. Since 3 out of 4 students said they would vote for Nuncio, this is the same as 75% or 0.75 when expressed as a decimal.
We then apply this proportion to the total number of students in the school:
Convert the fraction 3/4 to a decimal: 3 ÷ 4 = 0.75.
Multiply the total number of students by the decimal: 340 students × 0.75 = 255 students.
Therefore, we predict that 255 of the 340 students would vote for Nuncio for class president.
The average income, I, in dollars, of a lawyer with an age of x years is modeled with the following function:
What is the youngest age for which the average income of a lawyer is $450,000?
Round to the nearest year.
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I = -425x² + 45500x -650000
I = 450000
-425x² + 45500x -650000 = 450000
-425x² + 45500x - 650000 - 450000 = 0
-425x² + 45500x - 1100000 = 0
Divide all factors by 25:
- 17x² + 1820x - 44000 = 0
This is quadratic equation (ax² + bx + c = 0)
[tex]x_{1,2} = \frac{-b+/- \sqrt{ b^{2}-4ac } }{2a} = \frac{-1820+/- \sqrt{ 1820^{2}-4*(-17)*(-44000) } }{2*(-17)} = \\ \\ = \frac{-1820+/- \sqrt{3312400-2992000 } }{-34} = \frac{-1820+/- \sqrt{320400} }{-34} =\frac{-1820+/- 566}{-34} \\ \\ x_1= \frac{-1820+ 566}{-34}= -37 \\ \\ x_2 = \frac{-1820- 566}{-34}=70[/tex]
Since, the youngest age is needed, the correct answer is x = 37
To find the youngest age for a lawyer to have an average income of $450,000, you solve the income function equation and round to the nearest year.
Explanation:The youngest age for which the average income of a lawyer is $450,000 can be found by solving the given function:
I(x) = 10000 + 2000x
Given I(x) = $450,000, the equation becomes:
450,000 = 10000 + 2000x2000x = 440,000x = 220Rounded to the nearest year, the youngest age would be 220 years old.
Write the following in terms of sin(θ) and cos(θ); then simplify if possible.
cos(θ) + sin(θ)cot(θ) = ...?
Answers
cot θ = cos θ / sin θ
So sinθ * cot θ = cos θ after cancelling sin θ
Now cosθ + sin θ cot θ = cos θ + cos θ = 2 cos θ
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
When the following expression is written in simplest form, what is the coefficient of the variable term?
-2.5y + 8y - 10.5y
Answers
Just follow the equation.
-2.5 + 8 = 5.5
5.5 - 10.5 = -5
-5y = -2.5y + 8y - 10.5y
Three-fourths of a number increased by one-fifth is no less than seven-eighths.
Which equation represents this problem?
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Answer:
yea, most likely it´s 3/4 y + 1/5 ≥ 7/8
Step-by-step explanation:
What is closer to 1/3 0.3 0.33 or 0.333
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PLEASE HELP PLEASE PLEASE
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Round to the nearest tenth 848.607
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Hope this helps! Good luck!
~Vannah
In a game of blackjack, a 2-card hand consisting of an ace and a face card or a 10 is called a blackjack. (Round your answers to four decimal places.)
(a) If a player is dealt 2 cards from a standard deck of 52 well-shuffled cards, what is the probability that the player will receive a blackjack?
(b) If a player is dealt 2 cards from 2 well shuffled standard decks, what is the probability that the player will receive a blackjack?
Answers
To calculate the probability of getting a blackjack from a single well-shuffled deck, you must consider the probability of drawing an Ace and then a 10-value card or vice versa, and add those probabilities together. The same process applies to two decks with adjusted numbers. You will then round the final probabilities to four decimal places.
Explanation:To answer the question of the probability of getting a blackjack in a single deck, consider that there are 4 aces in a deck and 16 cards that are either a face card or a 10 (each suit has 4 such cards - Jacks, Queens, Kings, and 10s). When one card is drawn, the remaining cards are one fewer, so we need to adjust our probability for the second card.
Calculate the probability of drawing an Ace first and then a card with a value of ten: P(Ace first, then 10) = (4/52) × (16/51).Calculate the probability of drawing a 10-value card first and then an Ace: P(10 first, then Ace) = (16/52) × (4/51).Add the two probabilities together for the final answer.For the probability of a blackjack from two decks, follow the same steps, but adjust the numbers for a 104-card deck.
P(Ace first, then 10) = (8/104) × (32/103).P(10 first, then Ace) = (32/104) × (8/103).Add the two probabilities together for the final answer.After doing the calculations, we round the probabilities to four decimal places as instructed.
At the halftime show, a marching band marched in formation. The lead drummer started at a point with coordinates (–2, –5) and moved 3 steps up and 1 step right.
a. Write a rule to describe the translation.
b. What were the coordinates of the drummer's final position? (3 points)
Answers
b) The answer is: (-1, -2)
The initial coordinates are:
(x, y) = (-2, -5)
Let's find a and b.
a is a distance in x direction: a = 1
b is a distance in y direction: b = 3
The final position is:
(x + a, y + b) = (-2 + 1, -5 + 3) = (-1, -2)
Answer:
a) The answer is: (x + a, y + b)
b) The answer is: (-1, -2)
The initial coordinates are:
(x, y) = (-2, -5)
should be the answer.
Let's find a and b.
a is a distance in x direction: a = 1
b is a distance in y direction: b = 3
The final position is:
(x + a, y + b) = (-2 + 1, -5 + 3) = (-1, -2)
Step-by-step explanation:
(04.02 LC)
Triangle ABC is similar to triangle PQR, as shown below:
Two similar triangles ABC and PQR are shown. Triangle ABC has sides AB = c, BC = a, and AC = b. Triangle PQR has sides PQ = r,
Which ratio is equal to b:q? (1 point)
b:a
c:r
r:a
q:c
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Answer:
The correct option is 2.
Step-by-step explanation:
It is given that triangle ABC is similar to triangle PQR.
In triangle ABC, AB=c, BC=a, and AC=b.
In triangle PQR, PQ=r, QR=p, PR=q.
The corresponding sides of similar triangles are proportional.
Since [tex]\triangle ABC\sim \triangle PQR[/tex], therefore their corresponding sides are proportional.
[tex]\frac{AB}{PQ}=\frac{BC}{QR}=\frac{AC}{PR}[/tex]
[tex]\frac{c}{r}=\frac{a}{p}=\frac{b}{q}[/tex]
It meas the ratio c:r = a:p = b:q.
Therefore the correct option is 2.
Let y represent the total cost of publishing a book (in dollars). Let x represent the number of copies of the book printed. Suppose that x and x are related by the equation.
What is the change in the total cost for each book printed?
What is the cost to get started (before any books are printed)?
Equation: y=1250+25x
Answers
$25
What is the cost to get started (before any books are printed)?
$1250
What is the answer to the riddle 20 30 x 0 1 the real answer..?
Answers
PEMDAS- [Parenthese, Exponents, Multiplication, Division, Addition, Subtraction.]
Since there is no Parentheses, nor Exponents, you have to go straight to multiplication. Then to addition
30+30×0+1
30×0=0
30+0+1=31.
I hope my answer has come to your help. God bless and have a nice day ahead!
Suppose that ln 2=a and ln3=b. Use properties of logarithms to write each logarithm in terms of a and b
ln0.5 ...?
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ln(0.5) could be written as ln(2) - ln(2) - ln(2) = a - a - a = -a
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
what is 14 9/100 as a decimal
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The place after the decimal is the tenths place, the next place is the hundredths place
.9 = 9/10
.09 = 9/100
.009 = 9/1000
The average number of vehicles waiting in line to enter a sports arena parking lot is modeled by the function w(x)=x^2/2(1-x), where x is a number between 0 and 1 known as the traffic intensity. Find the average number of vehicles waiting if the traffic intensity is 0.92. ...?
Answers
To find the average number of vehicles waiting at a traffic intensity of 0.92, we substitute 0.92 into the function w(x) = x² / (2(1-x)) to arrive at the answer 5.29.
Explanation:The average number of vehicles waiting in line is modeled by the function w(x) = x^2 / (2(1-x)) where x represents traffic intensity. The question is asking us to calculate the average number of vehicles waiting when the traffic intensity is 0.92. By plugging this value into the function, we get w(0.92) = 0.92^2 / (2(1-0.92)), which simplifies to w(0.92) = 0.8464 / 0.16. The result is 5.29, so the average number of vehicles waiting would be 5.29 when the traffic intensity is 0.92. To find the average number of vehicles waiting when the traffic intensity is 0.92, we substitute the value of x into the given function w(x)=x^2/2(1-x). In this case, x=0.92. So, the average number of vehicles waiting can be found by evaluating w(0.92).
w(0.92) = (0.92)^2 / 2(1 - 0.92)
w(0.92) = 0.8464 / (2 * 0.08)
w(0.92) = 10.58
Therefore, when the traffic intensity is 0.92, the average number of vehicles waiting is approximately 10.58.
WILL UPVOTE!
Factor the expression.
36c^2 −121
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the answer would be 2.1 according to this
Find the amount of simple interest earned after 2 years on $480 invested at a 7% annual interest rate?
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I = P · r · t,
where: P = $480, r = 7% = 0.07, t = 2 years;
I = 480 · 0.07 · 2 = $67.20
Answer:
The amount of simple interest is $67.20
Using the simple interest formula, an investment of $480 at a 7% annual interest rate will earn $67.20 in simple interest after 2 years.
Finding Simple Interest on an Investment
To calculate the simple interest earned after 2 years on a $480 investment at a 7% annual interest rate, you can use the simple interest formula: Interest = Principal times Rate times Time.
The principal (P) is the initial amount of money, which in this case is $480. The rate (R) is the annual interest rate expressed as a decimal, so 7% becomes 0.07. The time (T) is the number of years the money is invested or borrowed, which is 2 years in this scenario.
Using the simple interest formula:
Interest = 480 times 0.07 times 2
Interest = 33.6 times 2
Interest = $67.20
Therefore, an investment of $480 at a 7% annual interest rate will earn $67.20 in simple interest after 2 years.
The hypotenuse of a 45°-45°-90° triangle measures 128 cm.What is the length of one leg of the triangle?
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Answer:
Since, a 45°-45°-90° triangle is a special type of isosceles right triangle, where the two legs are congruent to one another and the non-right angles are both equal to 45 degrees.
In 45°−45°−90° triangle
Sides are in the proportion [tex]1:1:\sqrt{2}[/tex]
then,
the measures of the sides are [tex]x , x ,\sqrt{2}x[/tex]
The length of hypotenuse= [tex]\sqrt{2}[/tex] times the length of the leg. ....[1]
Given: length of hypotenuse = 128 cm.
then,
from [1] we have;
128 = [tex]\sqrt{2}\cdot x[/tex]
or
[tex]x=\frac{128}{\sqrt{2}}[/tex] = [tex]\frac{128}{\sqrt{2} } \times \frac{\sqrt{2}}{\sqrt{2}} = \frac{128\sqrt{2}}{\sqrt{2}\cdot \sqrt{2}}[/tex]
Simplify:
[tex]x =\frac{128 \cdot \sqrt{2}}{2} =64\sqrt{2}[/tex] cm.
Therefore, the length of one leg of the triangle is; [tex]64\sqrt{2}[/tex] cm.
Expressions cannot _____.
be evaluated
be solved
be simplified
have variables
Answers
Although they are similar to equations, you can solve an equation, but you cannot solve an expression. You can evaluate it, simplify it, and it can have many variables, however, an expression just exists, it is not a problem that has to be solved.
Answer:
B. be solved
Step-by-step explanation:
A bag of chips contains 145 calories per serving. Each bag of chips contain 3 servings.
How many calories are in 2 bags of chips?
A.145 calories
B.150 calories
C.435 calories
D.870 calories
Answers
Answer:
870 calories Option D.
Step-by-step explanation:
A bag of chips contains calories per serving = 145
If each bag contains servings = 3
so total calories per bag = 3 × 145
= 435
Now we have to calculate the total servings in 2 bags.
Number of calories in 1 bag = 435
Therefore, number of calories in 2 bags = 435 × 2
= 870 calories
Option D. 870 calories is the answer.
The population of foxville is about 12 times 10 to the power of 3. which is another way to write this number
Answers
This can also mean 12x1000
which is 12 000
Answer:
The population of foxville is 12000.
Step-by-step explanation:
It is given that the population of foxville is about 12 times 10 to the power of 3.
Population of foxville = [tex]12\times 10^3[/tex]
[tex]12\times 10^3[/tex] is a scientific notation of a number.
We need to write this number in another way.
[tex]12\times 10^3=12\times 1000[/tex]
[tex]12\times 10^3=12000[/tex]
Therefore, the population of foxville is 12000.
Naomi draws a portion of a figure as shown. She wants to construct a line segment through R that makes the same angle with line segment QR as line segment PQ.
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draw a circle with center B and radius ST
and make this congruent to R. I've attached the image as well
Answer:
In FLVS it is the third option
Step-by-step explanation:
Hope this helps :)
what are the x and y intecepts of the graph of the equation 6x - 5y=3
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The x-intercept is negative 1/2
this is because i plugged in 0 for x, and got the y-intercept and plugged in 0 for y and got the x-intercept
Then, to find the y intercept, look at the last number in the equation. It is always the y-intercept as long as the equation is in slope-intercept form. Y-intercept=3/5.
Next, plug in y as zero to get the x-intercept. You should get -1/2.
y-int=(0,3/5)
x-int=(-1/2,0)
The ratio of two numbers is 1 to 4, and the sum of the numbers is 45. What is the smaller number?
10
9
8
7
9 i think
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If B=A, where on the number line will B appear?
A.to the right of A
B.in exactly the same location as A
C.to the left of A
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The answer is B.
If B was less than A it would apear on the left of A and if it was greater than A it would apear right from A.