3.Use rigid motions to explain whether the triangles in the figure are congruent. Be sure to describe specific rigid motions in your explanation.
Answers
Triangle DPW was shifted 1 unit to the left, then it was shifted 5 units down and then it was rotated by 90 degrees to the left.
Triangle DPW was translated 1 unit to the left, then it was translated 5 units down and then it was rotated by 90 degrees counterclockwise.
Related Questions
In geotown, there are 210 teenagers that own a tablet.This is at least 4/5 of all teenagers that live in geotown.What is the maximum number of teenagers who live in geotown?
Answers
At least 4/5 of x equals 210. Therefore
(4/5)x ≥ 210
Multiply each side by 5.
4x ≥ 210*5 = 1050
x ≥ 1050/4 = 262.5
Because x ≥ 262.5, therefore x = 263 (x must be an integer).
Answer: 263
There are 9cans that can store 45 tennis balls what is the constant of the proportionality for this situation
Answers
Since increasing the total number of cans causes the total number of tennis balls to increase too, x and y is direct in proportion.
Let the constant be k,
y = kx
45 = k9
k = 45/9
= 5
The constant of the proportionality for this situation is 5.
The sum of two numbers is 55 and the difference is 1 . What are the numbers?
Answers
At the end of the first day, 7 weeds appear in your neighborhood park. each day, the number of weeds increases by four times. how many weeds will be in the park at the end of 14 days?
Answers
6782230728497 to the power of 14 (days)
we have to solve for D
Answers
(√d)²= (4h)²
d= 16h^2
Final answer: d= 16h^2
[tex]\text{Square both sides}[/tex]
[tex]d=16h^2 [/tex]
The product of the slopes of two non-vertical perpendicular lines is always -1. It is NOT possible for two perpendicular lines to both have a positive slope because the product of two positives is positive. So for the product of the slopes to be -1, one of the slopes must be positive and the other negative.
True
False
Answers
Suppose a system of equations has fewer equations than variables and you have found a solution to this system of equations. is it possible that your solution is the only one? explain.
Answers
A vending machine has three different choices of drink: lemonade (L), cola (
c. and orange (O). Unfortunately, it has been filled at random and you cannot choose the drink you want. You are going to buy two drinks. This is a list of some of the combinations of drink that you could end up getting. CO, OL, LL, CL, CC, Which combination of drinks have you missed from the list?
Answers
how may ounces of trail mix are in a bag that weighs 0.681 kilograms?
Answers
[tex]\bf \begin{array}{ccll} kg&oz\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1&35.27337\\ 0.681&x \end{array}\implies \cfrac{1}{0.681}=\cfrac{35.27337}{x}\\\\\\ x=\cfrac{0.681\cdot 35.27337}{1}[/tex]
How do you use the product of 123 times 47 to find the product of 123 times 0.47 explain the difference in the two products?
Answers
123•0.47=57.81
you can use the product of 123•47 to help you solve for the product of 123•0.47 by seeing that all you do is move the decimal yo the left 2 spaces. The reason you move the decimal to the left 2 spaces is because 47 is 0.47 just the decimal was moved 2 spaces to the right.
Jan works from 30 to 40 hours per week during the summer. she earns $12.00 per hour. her friend rachel also has a job. rachel's pay for t hours is given by the function r(t) = 11t, where 20 ≤ t ≤ 30. find the domain and range of each function. compare their hourly wages and the amount they earn per week.
Answers
Jan's function has a domain of [30, 40] and a range of [$360, $480]. Rachel's function has a domain of [20, 30] and a range of [$220, $330]. Jan earns $12 per hour and can earn between $360 and $480 per week, while Rachel earns $11 per hour and can earn between $220 and $330 per week.
Explanation:The domain of Jan's function is the range of hours she works per week, which is between 30 and 40, denoted by [30, 40]. The range of Jan's function is the amount of money she earns per week, which is calculated by multiplying her hourly wage ($12) by the number of hours she works (30 to 40 hours). So, the range of Jan's function is [$360, $480].
Similarly, Rachel's function is given by r(t) = 11t, where t represents the number of hours she works per week. The domain of Rachel's function is the range of hours she works per week, which is between 20 and 30, denoted by [20, 30]. The range of Rachel's function is the amount of money she earns per week, calculated by multiplying her hourly wage ($11) by the number of hours she works (20 to 30 hours). So, the range of Rachel's function is [$220, $330].
Comparing their hourly wages, Jan earns $12 per hour while Rachel earns $11 per hour. Comparing the amount they earn per week, Jan can earn between $360 and $480 per week while Rachel can earn between $220 and $330 per week.
A rectangle has an area of 48 cm^2 and a perimeter of 38 cm. what are the dimensions of the rectangle?
Answers
We infer from the question that the dimensions of the rectangle, satisfying both the given area of 48 cm² and the given perimeter of 38 cm, are 12 cm x 4 cm.
Explanation:The topic of this question relates to the geometrical concept of rectangles. We know that the area of a rectangle is determined by the formula Area = length * width and the perimeter is given by the formula Perimeter = 2*(length + width). Given that the area is 48 cm² and the perimeter is 38 cm, we can set up the following equations:
Area = length * width = 48Perimeter = 2*(length + width) = 38Since the Perimeter and Area involve both length and width, we use simultaneous equations to solve this. By trial and error or via substitution method, we find that the dimensions satisfying both conditions are: length = 12 cm and width = 4 cm. Therefore, the dimensions of the rectangle are 12 cm x 4 cm.
Learn more about Rectangle Dimensions here:https://brainly.com/question/31677552
#SPJ12
translate into an equation Find three consecutive even integers whose sum is negative eighteen
Answers
make x be your first unknown negative even integer. you want your negative x and then negative x minus two and negative x minus four
x1= x
x2= x-2
x3= x-4
you know all three need to equal -18
solve for x:
-18= -x + (-x-2) + (-x-4)
-18 = -x-x-2-x-4
-18+2+4= -3x
12=-3x
12/-3=x
-4=x
then plus x into the first problem.
x1= -4 = -4
x2= -4-2 = -6
x3= -4-4 = -8
so your integers would be -4, -6, and -8
check:
(-4) + (-6) + (-8) = -18
let me know if you have any questions.
−20 ≤ 59(F−32) ≤ −15
Answers
(1) -20 ≤ 59(F - 32)
Then, the second group would be,
(2) 59(F - 32) ≤ - 15
Calculating for the values of F,
(1) -20 ≤ 59F - 1888
1888 - 20 ≤ 59F
1868 ≤ 59F
F ≥ 31.66
(2) (59)(F - 32) ≤ - 15
59F - 1888 ≤ -15
59F ≤ 1873
F ≤ 31.75
The values of F are therefore,
31.66 ≤ F ≤ 31.75
To solve the inequality −20 ≤ 59(F−32) ≤ −15, divide by 59 and then add 32 to isolate the variable F, resulting in the range 31.661°F to 31.746°F.
Inequality Solution
Let's solve the compound inequality −20 ≤ 59(F−32) ≤ −15 step by step.
First, we need to isolate the variable term by dividing all parts of the inequality by 59.−20/59 ≤ F − 32 ≤ −15/59.This simplifies to approximately:
−0.339 ≤ F − 32 ≤ −0.254.Next, we solve for F by adding 32 to all parts of the inequality:
32 - 0.339 ≤ F ≤ 32 - 0.254,
which simplifies to approximately:
31.661 ≤ F ≤ 31.746.
Therefore, the Fahrenheit temperature F is in the range of approximately 31.661°F to 31.746°F.
What is the median of the data (180,175,163,186,153,194,198,183,187,174,177,196,162,185,174,195,164,152,144,138,125,110)
Answers
110, 125, 138 , 144, 152,153,162, 163,164, 174, 174, 175, 177,180,183,185, 186,187, 194,195, 196,198
median = (174 + 175 )/2 = 174.5
answer
174.5
put them in order from the smallest to the largest:
110, 125, 138 , 144, 152,153,162, 163,164, 174, 174, 175, 177,180,183,185, 186,187, 194,195, 196,198
find the 2 middle numbers, in this case 174 & 175
the median is the average of those 2 numbers:
(174 + 175 )/2 = 174.5
the median = 174.5
PLEASE SHOW WORK
Solve for the formula for the variable x
ax+5=by-10
Answers
ax =by-10 - 5
ax = by - 15
x = (by - 15) / a
hope it helps
Find four consecutive integers whose sum is 106
Answers
Jamaal studied h hours for a big test. Karla studied one fourth as long. Write an algebraic expression for the length of time Karla studied. Use this expression to determine the length of time that Karla studied if Jamaal studied for 5 hours and 20 minutes.
Answers
x = (1/4)h
So, if Jamaal studied h = 5 h + (20 min* 1 h/60 min) = 16/3 or 5.333 hours. Thus, Karla's hours would be
x = (1/4)(16/3) = 1.33 hours or 1 hour and 20 minutes.
Choose the list that shows these numbers in order from largest to smallest.
0.63, 0.58, 0.059, 0.06
A.) 0.63, 0.58, 0.06, 0.059
B.) 0.58, 0.63, 0.06, 0.059
C.) 0.06, 0.58, 0.059, 0.63
D.) 0.059, 0.06, 0.58, 0.63
Answers
u basically start by looking at the first number to the right of the decimal...look at only that one number....now which one is biggest...it is the 6 in 0.63....now continue doing that and u will see that the 5 in 0.58 comes next...but then ur left with 2 numbers that have a 0 in that spot...so move over another number (to the right)...and compare those numbers....so the next one is the 6 in 0.06...and lastly, the 0.059.
The largest to smallest order of the numbers 0.63, 0.58, 0.059, and 0.06 is 0.63, 0.58, 0.06, 0.059. This corresponds to option A, which is accurate when comparing decimal place values.
Explanation:The question asks to arrange the given decimal numbers in order from largest to smallest. To do this, compare each decimal place value one by one from left to right. Starting with the first decimal place, select the largest digit to determine the largest number. Once the largest number is identified, move on to the next largest, and so on, until all numbers are ordered.
Comparing the whole numbers: 0.63, 0.58, 0.06, 0.059, we can see:
0.63 is the largest because it has the largest value in the tenths place (6), and the next number is 3.0.58 is the next largest because the tenths place is 5 and the hundredths place is 8, which is larger than the hundredths place of 0.59.0.06 is larger than 0.059 because when comparing numbers with the same digits leading up to the last place, the number with fewer decimal places is larger.Therefore, the correct order from largest to smallest is 0.63, 0.58, 0.06, 0.059. The correct answer is option A: 0.63, 0.58, 0.06, 0.059.
What The length of AC?
Answers
sin 42°/85=sin 85°/AC
==>AC=sin 85° *85 /sin 42°=126.54711....
1) Convert 3/5 to a decimal (show work)
2)Convert 3 8/10 to a decimal (show work)
3)Convert 5/9 to a decimal (show work)
Answers
#1 please help fr fr
Answers
It's way too blurry for me too. perhaps make one that's clearer so we could answer?
Which number is irrational?
A: 0.277277277...
B:0.333...
C:pie
D:0.7
Answers
It is irrational because it cannot be written as a ratio (or fraction)
Answer:
PI or 0.333333333333333333333333333
for the expoential function y= ab^x, which of the following value(s) would produce an expoential decay function?
a. 0<b<1
b. a<0
c. b>1
d.b<0
Answers
A decay function has a distinctive comportment:
"If a < b, therefore f(a) > f(b)"
So, the function must assume smaller values as x grows.
This is accomplished when 0 < b < 1
Answer:
its a but what would it be if it was a growth
Step-by-step explanation:
Rita's score is 13 more than 2 times milan score. if we let y represent milan's score, write an algebraic expression for rita's score.
Answers
Final answer:
Rita's score is expressed algebraically by the expression 2y + 13, where y represents Milan's score.
Explanation:
Rita's score can be expressed algebraically in terms of Milan's score. Given that y represents Milan's score, the problem statement tells us that Rita's score is 13 more than 2 times Milan's score. So, we can write Rita's score as 2y + 13. To translate this into an algebraic expression, we start with Milan's score y, multiply it by 2 to get '2 times Milan's score', and then add 13 to get '13 more than 2 times Milan's score', which results in our final expression, 2y + 13.
This expression shows us how to calculate Rita's score based on any given value for Milan's score.
the sum of three numbers is 64. the second number is 3 more than the first. the third number is 11 less than twice the first. find the numbers
Answers
.
y = x+3 = 21
z = 2x -11 = 2(18) -11 = 36-11 = 25
.
x + y + z = 18 + 21 + 25 = 64
Correct.
.
Answer: The three numbers are 18, 21, and 25.
At Cooper High School, jazz band is only offered as a zero-hour (before school) class. Dan has a zero-hour class. Conjecture: Dan is in jazz band. Use deductive reasoning to verify the conjecture, or provide a counterexample if the conjecture is false. A. true; law of detachment B. true; law of syllogism C. false; Dan may be enrolled in a different zero-hour class D. false; Dan can never be in jazz band
Answers
C.
The longest stem on elis geranium plant is 7.24 inches. write 7.24 in word form answer
Answers
when we write digits in to a sentence that is word form of numbers.
Can someone help me on problem 79
Answers
79
a) the multiplier would be 1 - 0.15 = 0.85
b) value = 27,000*0.85^y ( with y being the number of years)
c) y = 5 years
27000 x 0.85^5 = 11980.04
the car will be valued at $11,980.04 after 5 years
geometry problem help
Answers
They are outside of the "train tracks" (aka the parallel lines), and they lie on opposite sides of the transversal line.
This is why the answer is choice B