In the triangle shown, let AB = DE, BC = EF, and CA = FD. Use Rigid Motions to show (triangle)ABC onto (triangle) DEF.
Answers
Answer:
Step-by-step explanation:
Given: AB≅DE, BC≅EF, CA≅FD
Since those are the given it is maped A to D, B to E, C to F
This is a rigid transformation because the distance is preserve (givens) and the triangle ABC is map to triangle DEF.
Rigid transformations produce congruent figures so triangle ABC is congruent to triangle DEF
Related Questions
I would like to create a rectangular orchid garden that abuts my house so that the house itself forms the northern boundary. The fencing for the southern boundary costs $20per foot, and the fencing for the east and west sides costs $10 per foot. If I have a budget of $200 for the project, what are the dimensions of the garden with the largest area I can enclose? HINT [See Example 2.]
ft (smaller value) ? ft (larger value)
ft2
Answers
Answer:
Length = [tex]5\ \text{ft}[/tex]
Breadth = [tex]5\ \text{ft}[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the length of the garden
and [tex]y[/tex] be the width of the garden
From the details of the cost in the question we get
[tex]20x+2\times (10y)=200\\\Rightarrow 20x+20y=200\\\Rightarrow x+y=\dfrac{200}{20}\\\Rightarrow x+y=10\\\Rightarrow y=10-x[/tex]
Now area of the garden is
[tex]A=xy\\\Rightarrow A=x(10-x)\\\Rightarrow A=10x-x^2[/tex]
Differentiating with respect to x we get
[tex]\dfrac{dA}{dx}=10-2x[/tex]
Equating with 0
[tex]0=10-2x\\\Rightarrow x=\dfrac{-10}{-2}\\\Rightarrow x=5[/tex]
Double derivative of the area is
[tex]\dfrac{d^2A}{dx^2}=-2<0[/tex]
So, area is maximum at [tex]x=5[/tex]
[tex]y=10-x=10-5\\\Rightarrow y=5[/tex]
So, the length and breadth of the rectangle is [tex]5\ \text{ft}[/tex].
For a given population of high school seniors, the Scholastic Aptitude Test (SAT) in mathematics has a mean score of 500 with a standard deviation of 100. Assume that the SAT scores are normally distributed. What is the probability that a randomly selected high school senior's score on mathe- matics part of SAT will be
(a) more than 675?
b) between 450 and 675?
Answers
Answer:
The probability that a randomly selected high school senior's score on mathematics part of SAT will be
(a) more than 675 is 0.0401
(b)between 450 and 675 is 0.6514
Step-by-step explanation:
Mean of Sat =[tex]\mu = 500[/tex]
Standard deviation = [tex]\sigma = 100[/tex]
We will use z score over here
What is the probability that a randomly selected high school senior's score on mathe- matics part of SAT will be
(a) more than 675?
P(X>675)
[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}[/tex]
Z=1.75
P(X>675)=1-P(X<675)=1-0.9599=0.0401
b)between 450 and 675?
P(450<X<675)
At x = 675
[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}[/tex]
Z=1.75
At x = 450
[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{450-500}{100}[/tex]
Z=-0.5
P(450<X<675)=0.9599-0.3085=0.6514
Hence the probability that a randomly selected high school senior's score on mathematics part of SAT will be
(a) more than 675 is 0.0401
(b)between 450 and 675 is 0.6514
Can someone help me please
Answers
Z:-3x, -4y
I: -1x, -4y
HELP I GIVE BRAINLIEST
Answers
Answer:
The answer is 15/19
Step-by-step explanation:
Both 60 and 76 are divisible by 4:
60/4 = 15 and 76/4 = 19
Final answer; 15/19
Follow the steps below to choose an equivalent expression for 15n – 20 using the distributive property. Use the work below to help you.
1. Find the GCF of the terms.
The GCF of 15n and 20 is 5.
2. To factor out the GCF, divide each term in the expression by the GCF.
15n ÷ 5 = 3n and 20 ÷ 5 = 4
Which expression is equivalent to 15n – 20?
2(8n – 6)
6(2n – 9)
5(3n – 4)
5(4n – 3)
PLS HELP MEEEEHHHH
Answers
Answer:
5(3n - 4)
Step-by-step explanation:
The GCF of 15 and 20 is 5, so 5 is on the outside of the parentheses. 15/5 = 3, so the term is 3n. 20/5 = 4, so the other term is 4. Put it all together and you have 5(3n - 4)
Answer:
5(3n - 4)
Step-by-step explanation:
Edge 2020
A garden is in the shape of a rectangle 90 m by 60 m.
Flowers are grown in 40% of the garden.
The rest of the garden is grass.
Work out the area of the garden that is grass.
Answers
Answer:
3240 sq meters
Step-by-step explanation:
Area of garden = 90*60= 5400 square meters.
Flowers grown on = 40%
So, grass grown on = (100 -40)% = 60%
60% of 5400 = 0.6*5400 = 3,240.
So, the area of the garden that is grass = 3,240 square meters
The area is 90*60m which is 5,400m.
60% of the garden is grass (1-0.4=.6)
60% of 5,400 = 3,240 meters
A radius of 8.5m what is the area
Answers
Answer:
22/7 * 8.5 * 8.5 = answer
Answer:
Step-by-step explanation:
A = π r² ≈ 3.14 × (8.5)² = 226.865 m²
Solve the formula 5x + 2y = 19 for y
Answers
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[tex]5x + 2y = 19[/tex]
Subtract sides 5x
[tex] - 5x + 5x + 2y = - 5x + 19[/tex]
[tex]2y = - 5x + 19[/tex]
Divide sides by 2
[tex] \frac{2y}{2} = \frac{ - 5x + 19}{2} \\ [/tex]
[tex]y = \frac{ - 5x}{2} + \frac{19}{2} \\ [/tex]
[tex]y = - \frac{5}{2} x + \frac{19}{2} \\ [/tex]
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The solution of the equation 5x + 2y = 19 for the value of y is y = (-5 / 2)x + ( 19 / 2).
What is an expression?
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression is 5x + 2y = 19. The value of y will be calculated as:-
5x + 2y = 19
2y = 19 - 5x
y = ( 19 / 2 ) - ( 5x / 2 )
Therefore, the solution of the equation 5x + 2y = 19 for the value of y is y = (-5 / 2)x + ( 19 / 2).
To know more about an expression follow
https://brainly.com/question/723406
#SPJ2
plz do this ill mark brainly
Answers
Answer:
7+(−2) = 7 − 2 = 5
Step-by-step explanation:
Answer:
The Positive number has to be greater than the negative number you are adding with.
Example(s):
-30 + 35 = 5
-65 + 70 = 5
Geometry please help!!!!!!!?
Answers
Answer:
It is same as the length of YX =8 inches so the length of VW=8 inches
Is 4/10 closer to 0, 1, 1/2
Answers
Answer:
1/2
Step-by-step explanation:
Divide the denominator in half
10/2 = 5
4 is close to 5 so 4/10 is close to 1/2
Answer:
4/10 is closer to 1/2.
Think of a pie. There are 10 slices total, but only 4 slices remain, because I ate them all! Do you think that 4 out of 10 slices would be closer to a whole pie or half a pie? It would be closer half a pie.
Further explanation:
If you were to round the number 44 to the closest ten, it would be 40. If you were to round 47 to he nearest ten, it would be 50. If you were to round 45 to the nearest ten, it would also be 50. I hope this helps!
Half (1/2) is the answer.
Pizza time: A local pizza parlor is offering a half-price deal on any pizza with one topping. There are nine toppings from which to choose. In addition, there are three different choices for the size of the pizza, and two choices for the type of crust. In how many ways can a pizza be ordered?
Answers
Answer:
You can order pizza in 56 ways.
Step-by-step explanation:
A pizza can be ordered in 56 ways
Step-by-step explanation:
From the information that the problem gives to us, we have that:
For each topping, there are four different choices for the size of the pizza.
For each size of pizza, there are two possible choices of crust.
There are seven toppings for us to choose.
So
4*2*7 = 56
A pizza can be ordered in 56 ways
On a map , 1 inch represents 10 feet . How many inches would represent 35 feet .
Answers
Answer:
3 and a half inches or 3.50 inches
Step-by-step explanation:
if ten feet is 1 inch 30 feet would be 3 inches, 5 feet would make a half a inch since 10 feets divided by 2 is 5. one inch divided by 2 is 0.50 inches (or a half)
there for the answer is 3 and a half inches
if 8 identical items together weigh 30 kg, how much does each one weigh?
Answers
Answer:
each weighs 3.75 minimum
Answer:
Each item weighs 3.75 kg, or 3 and 3/4 kg.
Step-by-step explanation:
divide the total weight by the total amount of items. 30/8=3.75
hope this helped! :)
Dorian posted two online videos on the same day. The total number of views for Video A after t days can be modeled by the equation v = 12t. The total number of views for Video B after t days is shown by the graph. Which statement is true?
Answers
Answer: C The rate of change for the function for video a is constant but the rate of change for video b is not constant
Step-by-step explanation:
algebra help quick lol
Answers
Answer:
Its the top right one
Step-by-step explanation:
What number divided by−3 gives 12 as the result?
Answers
Answer:
-36
Step-by-step explanation:
x / (-3) = 12
x = 12*(-3)
x = -36
Sierra, an Event Planner for Hilton, has group medical insurance with an annual premium of $8,245. Her employer pays 74%. If she is paid semi monthly, a) what is her portion of the annual premium? b) her medical insurance deduction per pay period?
Answers
9514 1404 393
Answer:
$2,143.70$89.32Step-by-step explanation:
If 74% is paid by Hilton, then Sierra pays 26% of $8245 per year. Her annual share is ...
0.26 × $8245 = $2143.70 . . . Sierra's share
__
Then the deduction in each of her 24 pay periods is ...
$2143.70/24 = $89.32 . . . per pay period
(1 pt)What is the vertex of the graph of
the function f(x) = x2 + 6x + 9?
Answers
Answer:
(-3,0)
Step-by-step explanation:
pls pls help it closes in 40 minutes pls tell me how you got your answers ty
picture included
Answers
Step-by-step explanation:
u just have to draw a graph nd start at -2 which goes down -2 twice then go up 4 over 1 nd u just connect the lines nd find the slope of the lines that's how I learned it
Answer:
Hi, I'm not sure how to answer number 1 or 2 but here are my answers for 3-6
Step-by-step explanation:
3) 2
My work: y+3=2(x-2)
y+3=2x-4
y=2x-7
4) (2,25)
My work:
y-1=3(x+6)y-1=3x+18y=3x+19y=3(2)+19y=6+19y=25(2,25)5) 1/8
6) -7
y-4=-x+7 in standard form.
Answers
Answer:
Step-by-step explanation:
x + y = 11
Question 2 options: A consumer advocate group selects a random sample of 205 snack foods and finds that 174 of them contain more fat grams than what is indicated in the snack's nutritional information. Create a 90% confidence interval for the population proportion for snack foods that contain more fat grams that what is indicated in the snack's nutritional information.
Answers
Answer:
156 snack foods.
Step-by-step explanation:
205 - 174 = 31
To find 90% of 174, multiply 174 by 0.90.
174 x 0.90 = 156
The answer is 156 snack foods.
Formed from sentences P and Q, the sentence P or Q is a
A) biconditional.
B) complementary.
C) conditional
D) disjunction.
Answers
Answer c I think
Step-by-step explanation:
Olivia does chores every Saturday morning. She spends 1/3 of her time cleaning her room. Of the remaining 2/3 of her time, she spends 6/7 of it cleaning the kitchen. How much of Olivia's total time does she spend cleaning the kitchen?]
Answers
Answer:
she spends 9 hours
Step-by-step explanation:
2. What is the place value of the 5 in 3562?
Answers
Answer:
Hundreds Place
Step-by-step explanation:
The 5 is in the hundreds place.
Hope this helps :D
3 is the thousands place
5 is the hundreds place
6 is the tens place
2 is the ones place
You tell me the answer.
evaluate 103 × 97 without directly multiplying
Answers
Answer:
9991
Step-by-step explanation:
103 × 97
(100 +3) (50+47)
get two number which you can add to get the value in the question
n then expand
100(50+47) +3(50+47)
5000+4700+150+141
9991
Rewrite −x−6 with a positive exponent. Assume x is not equal to zero.
Answers
= -1/x^6
Explanation:
Using the concept negative rule of exponents.
-x^-6 = -1/x^6
Do you guys know this.
Answers
Answer:
0.77
Step-by-step explanation:
You solve the inner first, then move to the outer.
Plug in x = 20 for g(x) = [tex]\frac{2x+2}{x-6}[/tex]. It should give you [tex]\frac{42}{14}[/tex], which simplifies to 3.
You then need to solve f(x) with the given value from g(x), which is 3.
Plug in x = 3 for the equation [tex]\sqrt{0.4x^2-x}[/tex], and you should get [tex]\sqrt{0.6}[/tex].
The answer is roughly 0.77.
Which ordered pair would form a proportional relationship with the point graphed below?
(10.-20)
(-30, 20)
(-10,5)
(35, -20
Answers
Samir usually drink 3 cups of coffee in the morning how many liters of coffee does he drink round
Answers
Answer:
0.709765 liters
Step-by-step explanation: