use the coordinates below to determine if abc and def are congruent a(2 -8)
HELP
Answers
Answer:
Step-by-step explanation:
We need to find whether the two given triangles are congruent.
The given triangles are congruent.
The distance between two points is given by
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
A(2,-8) and B(-5,-2)
[tex]AB=\sqrt{(-5-2)^2+(-2-(-8))^2}\\\Rightarrow AB=\sqrt{49+36}\\\Rightarrow AB=\sqrt{85}[/tex]
D(-9,7) and E(-11,12)
[tex]DE=\sqrt{(-11-(-9))^2+(12-7)^2}\\\Rightarrow DE=\sqrt{29}[/tex]
B(-5,-2) and C(-7,3)
[tex]BC=\sqrt{(-7-(-5))^2+(3-(-2))^2}\\\Rightarrow BC=\sqrt{29}[/tex]
E(-11,12) and F(-2,1)
[tex]EF=\sqrt{(-2-(-11))^2+(1-12)^2}\\\Rightarrow EF=\sqrt{202}[/tex]
A(2,-8) and C(-7,3)
[tex]AC=\sqrt{(-7-2)^2+(3-(-8))^2}\\\Rightarrow AC=\sqrt{202}[/tex]
D(-9,7) and F(-2,1)
[tex]DF=\sqrt{(-2-(-9))^2+(1-7)^2}\\\Rightarrow DF=\sqrt{85}[/tex]
It can be seen that [tex]AB=DF=\sqrt{85}[/tex], [tex]BC=DE=\sqrt{29}[/tex] and [tex]AC=EF=\sqrt{202}[/tex].
Since, each side of triangle ABC is equal to one side of triangle DEF they are congruent to each other.
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what is the solution to this linear system?
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Answer:
(- 1, 7 )
Step-by-step explanation:
Given a system of linear equations graphically, then the solution is at the point of intersection of the 2 lines.
The lines intersect at (- 1, 7 ) which is then the solution to the system
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Basically just change your calculator to degree by pressing the mode button then scroll to degree and pressing it. Then type the questions in with the cos tan and. Sin buttons and that’s the answer.
if 1 euro = £0.72, how much is 410 euros in £?
Answers
Step-by-step explanation:
1 Euro = £ 0.72
Converting 410 euros in pounds,
410 Euros = £ 0.72 * 410
= £ 295.2
Hope it will help :)
which number,when substituted for x,makes the equation 4pie + 8 = 16 true
Answers
Answer:
it’s false
Step-by-step explanation:
Six less than the product of 5 and a number is equal to 2.
Answers
That is the formula
Six less than the product of 5 and a number is equal to 2 is represented as 5x - 6 = 2 and x becomes 1.6
Let's break down the statement and solve the equation step by step.
The statement is: "Six less than the product of 5 and a number is equal to 2."
Let's translate this into an equation.
Let "x" be the number we want to find.
The product of 5 and the number "x" is 5x.
"Six less than the product of 5 and a number" is 5x - 6.
Now, we have the equation: 5x - 6 = 2.
To solve for "x," follow these steps:
Step 1: Add 6 to both sides of the equation to isolate the term with "5x."
5x - 6 + 6 = 2 + 6
This simplifies to: 5x = 8.
Step 2: Now, to find the value of "x," divide both sides of the equation by 5.
(5x) / 5 = 8 / 5
This simplifies to: x = 8/5.
So, the value of the number "x" is 8/5, which is equivalent to 1.6.
Therefore, the number is 1.6.
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What was Miss D's speed if she traveled 6 km in 3 hours? YOU MUST SHOW WORK IN YOUR ANSWER: example below to get full credit 1. Formula : 2. Substitution: 3. Answer with units:
Answers
Answer:
2km/hr
Step-by-step explanation:
The formula for calculating speed is expressed as;
Speed = Distance/Time
Given the following;
Distance = 6km
Time = 3hours
Speed = 6km/3hr
Speed = 2km/hr
Hence the speed travelled is 2km/hr
The correct factorization of 12x'2 - 157x - 40: A) (3x -8)(4x - 5) B) (3x - 40)(4x + 1) C) (12x - 1)(x + 40) D) (12x - 5)(x-8)
Answers
Answer:
B
Step-by-step explanation:
12x² - 157x - 40
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 12 × - 40 = - 480 and sum = - 157
The factors are + 3 and - 160
Use these factors to split the x- term
12x² + 3x - 160x - 40 ( factor the first/second and third/fourth terms
= 3x(4x + 1) - 40(4x + 1) ← factor out (4x + 1) from each term
= (4x + 1)(3x - 40) ← in factored form → B
How many vehicles does the salesperson need to sell in a month to earn at least $6000? Explain how you found your answer.
Answers
Answer: 15 vehicles
Step-by-step explanation:
The first part of the question reads:
A salesperson at a car dealership earns a monthly salary of $2,400 and $250 for each vehicle sold.
The Sales person wants to get to $6,000 for the month.
Their salary already gives them $2,400 so the amount they have to make in commission is:
= 6,000 - 2,400
= $3,600
They earn $250 per car sold so the number of cars they need to sell is:
= 3,600 / 250
= 14.4
Round this up to 15 cars because rounding down to 14 would not be enough to reach the total of $6,000.
15 cars * $250 commission = $3,750 which is more than the $3,600 required so the condition has been satisfied.
To earn at least $6,000, they will have to sell 15 cars.
What is the slope of the line?
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Answer:
The slope is 1/2
Step-by-step explanation:
I did rise over run
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Answers
Answer:
x ≥ 7
Step-by-step explanation:
3x-4≥17
3x ≥ 17 + 4
3x ≥ 21
x ≥ 21/3
x ≥ 7
Hope this helps :D
Hey your answer will be x = 7
Step-by-step explanation:
In the figure below, segment PO Il segment MN and segment PM II segment ON.
Which would be a correct way to begin a proof that shows angle O is congruent to angle M?
A. Draw diagonal OM and show that a pair of adjacent interior angles formed by the transversal are congruent.
B. Draw diagonal PN and show that a pair of corresponding angles formed by the transversal are congruent.
C. Draw diagonal PN and show that a pair of alternate interior angles formed by the transversal are congruent.
D. Draw diagonal OM and show that a pair of alternate interior angles formed by the transversal are complementary,
Answers
Answer: A
Step-by-step explanation:
Write the following Arithmetic Sequence using a Recursive Formula: an = -7 + 3(n – 1)
a1 = 3, an = an-1 – 7
a1 = -7, an = an-1 + 3
a1 = -7, an = an+1 + 3
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Answers
9514 1404 393
Answer:
(b) a[1] = -7, a[n] = a[n-1] + 3
Step-by-step explanation:
Comparing the given formula to the general form for the n-th term of an arithmetic sequence ...
an = a1 +d(n -1)
we see that the first term (a1) is -7, and the common difference (d) is +3.
The recursive version of the sequence definition is ...
a[1] = a1
a[n] = a[n-1] +d
So, the appropriate choice is ...
a[1] = -7, a[n] = a[n-1] +3
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Answers
Answer:
8x = -104
divide 8
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Answers
Given:
The postal service charges $10.30 per pound on the package shipped to England.
To find:
The rate in dollars per ounce.
Solution:
We know that,
1 pound = 16 ounce
1 Dollar per pound = [tex]\dfrac{1}{16}[/tex] dollar per ounce.
1 Dollar per pound = 0.0625 dollar per ounce.
We have, the postal service charges $10.30 per pound on the package shipped to England.
Using the above conversion, we get
$10.30 Dollar per pound = [tex]10.30\times 0.0625 [/tex] dollar per ounce
$10.30 Dollar per pound = [tex]0.64375 [/tex] dollar per ounce
Therefore, the required rate is $0.64375 per ounce.
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Answer:
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bro if i know i will tell u but the problem that d
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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what grade are you in? Maybe i can help :)
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
if it has a 90° angle it is a right triangle :)
Answer:It is a right triangle
Step-by-step explanation:
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Answers
Answer: n = 6
Step-by-step explanation:
First you have to isolate the n by multiplying each side by 3. Than you get n=6
Answer:
6
Step-by-step explanation:
Multiply both sides by 3:
2 times 3 = 6
n/3 times 3 = n
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Step-by-step explanation:
The reason why it would be +83 is that it says that you walk UP 83 stairs.
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Hope this helped!!! :)
Brainliest?!?!
Stay safe and have a wonderful day/night/afternoon!!!
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Answer:
Gg bud I wish I wasn't grounded ever
Step-by-step explanation:
also it may be for your sanity since you barely go out
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Answer: √74
Step-by-step explanation: Let's start with the distance formula, shown below.
Now simply substitute the values into the formula, my work is below.
The distance between these two points is √74.
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Answer: B and C
Step-by-step explanation:
A: 49+9 does not equal 441
B: 400+441 does equal 841
C: 36+64 does equal 100
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