Plot point F so that ABC is congruent to FGH. Identify a sequence of rigid motions that maps ABC onto FGH and use a theorem to complete the explanation of why the triangles are congruent.
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Answer:
Step-by-step explanation:
Having completed the triangle to the rectangle, you can immediately understand through the Pythagorean theorem that they will be congruent
Then by the Pythagorean theorem:
[tex]\ \sf Points \ F (5 \ ; \ 1)[/tex]
[tex]\sf \displaystyle AB=\sqrt{5^2+1^2} =\sqrt{26 } \ \ ; \ \ FG=\sqrt{5^2+1}=\sqrt{26 } \\\\ BC=\sqrt{2^2+1^2} =\sqrt{5} \ \ ; \ GH=\sqrt{2^2+1^2} =\sqrt{5} \\\\ AC=\sqrt{3^2+2^2} =\sqrt{13} \ \ ; \ \ HF =\sqrt{3^2+2^2} =\sqrt{13}[/tex]
SSS (side-side-side) All three corresponding sides are congruent. =>
ΔABC≅ΔFGH
Related Questions
please help i dont understand this
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Answer:
I would try cymath
I can't solve this so I would use cymath or copy and paste your answer to go 0gle and you might find another brainly question with this
please help teacher mean
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10 8/21 — simplified
10.380952 — decimal this repeats :)
Quadrant of -9, 17? I cannot find the answer to the question
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Answer:
[tex](-9,\, 17)[/tex] is in the second quadrant of a cartesian plane.
Step-by-step explanation:
The horizontal and vertical axes divides the cartesian plane into four quadrants. The quadrants are numbered counterclockwise, starting from the top-right corner:
[tex]\begin{array}{c|c}\text{second quadrant} & \text{first quadrant} \\\cline{1-2} \text{third quadrant} & \text{fourth quadrant}\end{array}[/tex].
(The quadrants do not include the two axes. Points on either axes are not in any of the quadrant.)
A point in the form [tex](x_{0},\, y_{0})[/tex] is on the right half of the plane (to the right of the vertical axis) if [tex]x_{0} > 0[/tex]. This point is on the vertical axis through the middle of the plane if [tex]x_{0} = 0[/tex]. Otherwise, if [tex]x_{0} < 0[/tex], this point would be on the left half of the plane (to the left of the vertical axis.)
The [tex]x[/tex]-coordinate of [tex](-9,\, 17)[/tex] is [tex]x_{0} = -9[/tex].
Since the [tex]x[/tex]-coordinate of this point is below zero ([tex](-9) < 0[/tex]), this point would be on the left-hand side of the origin to the left of the vertical axis.
Likewise, a point in the form [tex](x_{0},\, y_{0})[/tex] is above the horizontal axis if [tex]y_{0} > 0[/tex], on the horizontal axis if [tex]y_{0} = 0[/tex], and below the horizontal axis if [tex]y_{0} < 0[/tex].
The [tex]y[/tex]-coordinate of the given point [tex](-9,\, 17)[/tex] in this question is [tex]y_{0} = 17[/tex].
Since the [tex]y[/tex]-coordinate of this point is greater than zero ([tex]17 > 0[/tex]), this point would be above the horizontal axis.
Thus, the point [tex](-9,\, 17)[/tex] would be in the top-left quarter of the plane. The top-left quarter of the plane corresponds to the second quadrant, since this quadrant is the second quadrant after the first quadrant in the top-right corner. Hence, [tex](-9,\, 17)\![/tex] would be in the second quadrant of the plane.
Answer if you want, 10 points
Can you give me some example of ratios and the steps of them, include answer, and a easy strategy please
Answers
Answer:
hi
Step-by-step explanation:
for example
[tex] \frac{8}{4} = 2 \\ \\ 1 \times \frac{4}{5} = \frac{9}{5} [/tex]
in the second one you should multiple 5 and 1 then add 4
HELP A CHICKEN NUGGET OUT!
What is the value of x−9? 14x−(x+2)=−14 Enter your answer in the box. x−9=
Answers
Bill is 30 years old. He has just started a new job, and he cycles to work. The
probability of having a serious accident on any given day is 10E−4
(and the days are independent of each other as far as cycling accidents are concerned). He works 250 days per year, and will work for 35 years before retiring to North Hatley–unless a cycling accident catches up with him first.
a) What is the probability that he gets through his career without a serious
cycling accident?
b) Thirty years pass. Bill continues to cycle, and has never had a serious
accident. However, the probability of accident on any given day remains 10E−4
Is the probability that he will get through his entire career without an accident the
same? If so, explain why. If not, calculate it and interpret.
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Using the binomial distribution, we have that:
a) 0.4168 = 41.68% probability that he gets through his career without a serious cycling accident.
b) Considering that the probability of an accident on a given day is independent of any other day, now just the last five years are considered, thus, the probability changes and there is a 0.8825 = 88.25% probability that he will get through his entire career without an accident the same.
For each day, there are only two possible outcomes. Either there is an accident, or there is not. The probability of there being an accident on a day is independent of any other day, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
0.0001 probability of an accident on a given day, thus [tex]p = 0.0001[/tex]250 days, for 35 years, thus the number of days is [tex]n = 250(35) = 8750[/tex].Item a:
The probability is P(X = 0), thus:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8750,0}.(0.0001)^{0}.(0.9999)^{8750} = 0.4168[/tex]
0.4168 = 41.68% probability that he gets through his career without a serious cycling accident.
Item b:
The probability changes, as we consider now just five years.The number of days is now [tex]n = 250(5) = 1250[/tex].Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8750,0}.(0.0001)^{0}.(0.9999)^{1250} = 0.8825[/tex]
Considering that the probability of an accident on a given day is independent of any other day, now just the last five years are considered, thus, the probability changes and there is a 0.8825 = 88.25% probability that he will get through his entire career without an accident the same.
A similar problem is given at https://brainly.com/question/24756209
A serving size in a party pack of M&Ms is
32 pieces of candy. If the bag contains
38.2 serving sizes of candy, how many
M&Ms are in the party size bag? .
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Answer:
38.2×32=1222.4
-----------------------
Write an equation for the description.
Hector is visiting a cousin who lives 300 miles away. He has driven 95 miles. How many more miles does
he need to drive to reach his cousin's home? Let d be how many miles left to reach his cousin's home.
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d=205
Hector has 205 more miles to go
How do u write 6000 in standard form
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Answer:
6× 10^3 is the standard form of 6000
Answer:
I write 6000 , Six thousand in standard form.
Judy received 198 votes for class president. This was 55% of the total votes cast. How
many votes were cast?
Enter your answer in number form only. Do not attach a label.
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Answer:
Step-by-step explanation:
Sbakjxd
I neeed help I will mark Brainliest
Answers
Answer:
D. y = 9/4x
Step-by-step explanation:
First, find the gradient or slope, m
m = change in y ÷ change in x
m = (0 - -9) ÷ (0 - -4)
m = 9 ÷ 4 = 9/4
There is no y intercept, since the line goes through the origin (0,0)
y = 9/4x
Answer:
D.) y=9/4x
Step-by-step explanation:
The graph that I did has the line going through (0,0) and (-4,-9), like the question states.
PLEASE HELP DUE IN 20
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I HOPE IT WILL HELP YOU.
Thank you.
TEDDYLOVER ^ - ^
Help me plss ASAP plzzz
Answers
Answer:
begin with 12 and pat has 8 red flowers
Step-by-step explanation:
easy mathz
Answer:
Begin with 12 and there are 8 flowers are red
Step-by-step explanation:
12-4=8
You want to buy a $35,000 car. The company is offering a 3% interest rate for 36 months (3 years). What will your monthly payments be?
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[tex]\bigstar\boxed{\large\bf\purple{\leadsto \$3150}}[/tex]
__________________________________________
[tex]\large\sf{\underline{Given:}}[/tex]
➠ Principal = $ 35000➠ Rate of interest = 3%➠ Time = 3 yrs (36 months)[tex]\large\sf{\underline{Therefore:}}[/tex]
[tex]\sf{Simple\: interest = \left(\dfrac{P\times R\times T}{100}\right)}[/tex]
[tex]\sf{\longrightarrow \left(\dfrac{35000\times 3\times 3}{100}\right)}[/tex]
[tex]\sf{\longrightarrow \cancel{\dfrac{315000}{100}}}[/tex]
[tex]\sf{\longrightarrow 3150}[/tex]
[tex]\large\sf{\underline{Your\: monthly\: payments\:will\:be\:\$3150}}[/tex]
Answer:
Monthly Payment will be $3150
Step-by-step explanation:
Given :-
Principal :- $35000Interest rate :- 3%Time period :- 3 yearsTo find :-
Monthly PaymentSolution :-
Simple Interest :- P × R × T / 100
putting the known values ,
Simple Interest :- 35000×3×3/100
Therefore, Monthly Payment :- $3150
Find the perimeter and area of the figure with the given coordinates:
A(-2,-1), B(-2,-4), C(3,-4), D(3,-1)
Answers
Ania scored a total of 120 points this season so far and averaged 15 points a game. How many games has she played?
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Answer: Ania has played 8 games.
Step-by-step explanation:
Divide 120 by 15. 120 / 15 ?
15 fits into 120 exactly 8 times.
So , 120 - 120 = 0.
in the similarity transformation of abc to def, abc was dilated by a scale factor of [?], reflected across the [ ], and moved through the translation [ ].
Answers
The complete similarity transformation is: triangle abc was dilated by a scale factor of [2], reflected across the [x-axis], and moved through the translation [0].
How to complete the similarity statement?From the figure, we have:
AB = 2 units
DE = 4 units
So, the scale factor (k) is:
k = DE/AB
k = 4/2
k = 2
So, the scale factor is 2
Also, both shapes are on either sides of the x-axis, and they are equidistant from the x-axis.
This means that the triangle is reflected across the x-axis with no translation.
Hence, the complete similarity transformation is:
abc was dilated by a scale factor of [2], reflected across the [x-axis], and moved through the translation [0].
Read more about transformation at:
https://brainly.com/question/4289712
An employee put $4,000.00 in a retirement account that offers 6.2% interest compound annually. The employee makes no additional deposits or withdrawls. Which amount is closest to the interest the employee will have earned at the end of 10 years?
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Answer:
567,90-
Step-by-step explanation:
67+38$gus (*56+070)86*(0-568)(&657890
4. f(x) = 2x4 - 3x2 + 5. Find f(-1).
What is the answer
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Answer:
[tex]{ \rm{f(x) = 2 {x}^{4} - 3 {x}^{2} + 5 }}[/tex]
• for f(-1), substitute x with -1
[tex]{ \rm{f( - 1) = 2 {( - 1)}^{4} - 3 {( - 1)}^{2} + 5 }} \\ \\ { \rm{f( - 1) = 4}}[/tex]Write the recursive and explicit formula for the following sequence: -3, -1, 1, 3, …
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It would be +2 so -3+2=-1, -1+2=1, 1+2=3
A bird flies down 0 feet and then up 55 feet.
Answers
Answer:
ok?
Step-by-step explanation:
4/5 divided between 1.2
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Answer:
1.6
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
You need $3,000 to buy a new stereo for your car. If you have $1,200 to invest at
6% compounded annually, how long will you have to wait to buy the stereo?
Answers
Answer:
15 years and 8 months
Step-by-step explanation:
I used the formula for compound interest as shown below and solved for the unknown, time.
Since our interest is compounded annually (So once a year) our m value is 1.
Bill has $50 to spend on 2 birthday presents for his friends. If he spends $2.50 each for birthday cards, what is the range of money he can spend on each gift? Write and solve an inequality.
Answers
The inequality 2.50x + 2y ≤ 50 shows the situation that Bill has $50 to spend on 2 birthday presents for his friends.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
Bill has $50 to spend on 2 birthday presents for his friends. If he spends $2.50 each on birthday cards.
Let's suppose the number of birthday cards is x and the cost of each gift is y.
Then the total cost for birthday cards = 2.50x
Total budget = $50
Total expense = 2.50x + 2y
2.50x + 2y ≤ 50
The above inequality represents the situation.
In the graph, the range of the solutions is shown.
Thus, the inequality 2.50x + 2y ≤ 50 shows the situation that Bill has $50 to spend on 2 birthday presents for his friends.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ1
What is the name of the property used when multiplying polynomials?
Answers
Answer:
the distributive property
Step-by-step explanation:
it allows us to multiply each term of the first polynomial by each term of the second
PLS mark Brianliest
Let f(x) = x^3 + 2x^2 + 3x + 1 and g(x)= 4x-5 Find f(x) x g(x)
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[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
Given :
[tex]f(x) = {x}^{3} + 2 {x}^{2} + 3x + 1[/tex]
[tex]g(x) = 4x - 5[/tex]
let's solve for f(x) × g(x) :
[tex]( {x}^{3} + 2x {}^{2} + 3x + 1)(4x - 5)[/tex]
[tex]4x {}^{4} - 5 {x}^{3} + 8 {x}^{3 } - 10 {x}^{2} + 12 {x}^{2} - 15x + 4x - 5[/tex]
[tex]4 {x}^{4} + 3 {x}^{3} + 2 {x}^{2} - 11x - 5[/tex]
therefore, correct choice is : D
Given Number A = -2 and Number B = -1 1. What is the abolsute Value of A 2. What is the absolute Value of B
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Answer:
answer A= 2 answer b = 11
Step-by-step explanation:
my teachers said cancel out the negatives
what is (x-1)-(3x+2)
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Answer:
-2x - 3
Step-by-step explanation:
1. distribute
( x - 1 ) - (3x + 2)
(x - 1) - 3x - 2
2. Eliminate redundant parentheses
(x - 1) - 3x - 2
x - 1 - 3x - 2
3. Subtract the numbers
x−1 − 3x − 2
x - 3 - 3x
4.
x − 3 − 3x
-2x - 3
HELPPPPPPP PLSSS!!!!!!!!!!!!!!!!!!!
Answers
5+6
That’s the answer
Tia went to the Farmers
Market and bought 6
pineapples for $3.49
each. How much money did
Tia spend?
Answers
Answer:
20.94$
Step-by-step explanation:
3.49x6 since Tia bought 6 pineapples and they cost 3.49 each and it equals 20.94$. So to buy 6 pineapples at the farmers market it cost 20.94$.