These triangles are scaled copies of each other.
For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first?
a. Triangle G and Triangle F Response area
b. Triangle G and Triangle B Response area
c. Triangle B and Triangle F Response area
d. Triangle F and Triangle H Response area
e. Triangle G and Triangle H Response area
f. Triangle H and Triangle B Response area
Answers
Answer:
a. 4
b. 1/4
c. 16
d. 1/9
e. 4/9
f. 9/16
Step-by-step explanation:
The ratio of the areas is the square of the ratio of the lengths of the sides.
a. Triangles G and F
Select a side in triangle G and the corresponding side in triangle F:
side in F: 10
corresponding side in G: 5
ratio of lengths of F to G = 10/5 = 2
ratio of areas of G to F: (2)^2 = 4
b. Triangles G and B
Select a side in triangle G and the corresponding side in triangle B:
side in G: 5
corresponding side in B: 5/2
ratio of lengths of B to G = (5/2)/5 = 1/2
ratio of areas of B to G: (1/2)^2 = 1/4
c. Triangles B and F
Select a side in triangle B and the corresponding side in triangle F:
side in B: 5/2
corresponding side in F: 10
ratio of lengths of F to B = 10/(5/2) = 4
ratio of areas of F to B: (4)^2 = 16
Do the same for the other 3 pairs of triangles.
The answers are:
d. 1/9
e. 4/9
f. 9/16
The ratio of the areas is the square of the ratio of the lengths of the sides.
Let's find the ratio of areas one by one:
A. Triangles G and F
Select a side in triangle G and the corresponding side in triangle F:
Side in F= 10
Corresponding side in G= 5
The ratio of lengths of F to G = 10/5 = 2
The ratio of areas of G to F= (2)^2 = 4
B. Triangles G and B
Select a side in triangle G and the corresponding side in triangle B:
Side in G= 5
Corresponding side in B= 5/2
The ratio of lengths of B to G = (5/2)/5 = 1/2
The ratio of areas of B to G: (1/2)^2 = 1/4
C. Triangles B and F
Select a side in triangle B and the corresponding side in triangle F:
Side in B= 5/2
Corresponding side in F= 10
The ratio of lengths of F to B = 10/(5/2) = 4
The ratio of areas of F to B: (4)^2 = 16
D. Triangles F and H
Select a side in triangle F and the corresponding side in triangle H:
Side in F= 10
Corresponding side in H= 10/3
The ratio of lengths of H to F = (10/3)/10 = 1/3
The ratio of areas of H to F: (1/3)^2 = 1/9
E. Triangles G and H
Select a side in triangle G and the corresponding side in triangle H:
Side in G= 5
Corresponding side in H=10/3
The ratio of lengths of H to G = (10/3)/5 = 2/3
The ratio of areas of H to G: (2/3)^2 = 4/9
F. Triangles H and B
Select a side in triangle H and the corresponding side in triangle B:
Side in H=10/3
Corresponding side in B= 5/2
The ratio of lengths of B to H = (5/2)/(10/3) = 3/4
The ratio of areas of H to G: (3/4)^2 = 9/16
The final answers are:
a. 4
b. 1/4
c. 16
d. 1/9
e. 4/9
f. 9/16
To learn more about the ratio of areas,
brainly.com/question/7071992
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Hey, I'm a German 11th grader and we currently have a tough geometry question: The centers A, B, C of three congruent circles that have no common points do not lie on the same straight line. From points A, B, C, the six tangents shown in the figure are placed on the circles that enclose a convex hexagon.Prove: The sums of the lengths of three pairs of not immediately adjacent sides of this hexagon are equal, i.e. | PQ | + | RS | + | TU | = | QR | + | ST | + | UP |
How can I prove this? I already found out that the triangles on the sides of the hexagon are not pairwisely congruent, as i first thought. I think my other idea that the red and orange triangles (attachment) are congruent, so the sum of the areas of the triangles on the above mentioned sides is equal, but the congruency of red and orange must be proven too. Any help is appreciated!
Answers
If I'm not wrong, then the answer will be:-
Given
• centers A, B, C
• three congruent sides
• have no common points
So, the result is:-
| PQ | + | RS | + | TU | = | QR | + | ST | + | UP |
ProvedI hope this answer is correct and helps you.
✍️ By Benjemin ☺️
Helppppppppp plzzzzzzzzzz
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4 No
-6 yes
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What is the slope of the line y=-4
Answers
Answer:
The slope is zero
Step-by-step explanation:
y = -4 is a horizontal line
Horizontal lines have a slope of zero
Hello there! The line y=-4 is a horizontal line and the slope of horizontal lines is 0.
Why? Because we calculate the slope using the formula Rise/Run. The rise is 0 (how many units we go up) so no matter what the run is, if we divide 0 by any number, we will get 0 100%.
Hope this helps you!
~Just a joyful teen
[tex]SilentNature :)[/tex]
Examine the Federal Tax Table for married couples filing joint returns.
Married Couples Filing Jointly
If Taxable Income Is between: Then the Tax Due Is:
$0 – $19,400 10% of taxable income
$19,401 – $78,950 $1940+12% of the amount over $19,400
$78,951 – $168,400 $9086+22% of the amount over $78,950
$168,401 – $321,450 $28,765+24% of the amount over $168,400
$321,451 – $408,200 $65,497+32% of the amount over $321,450
$408,201 – $612,350 $93,257+35% of the amount over $408,200
$612,351+ $164,709.50+37% of the amount over $612,350
Sally and her husband, Ahmed, together earned a total of $203,300 in taxable income last year. Using the tax table, what do they owe in federal income taxes? Enter your answer rounded to the nearest dollar, such as: $42,536
Answers
Answer:
$37,141
Step-by-step explanation:
The applicable line of the tax table is ...
$28,765+24% of the amount over $168,400
If A represents the amount of taxable income, this simplifies to ...
$28,765 +0.24(A - 168,400) = $28,765 +0.24A -40416 = 0.24A -$11,651
For their income of 203,300, Sally and Ahmed owe ...
0.24×203300 -11651 = 48792 -11651 = 37141
They owe $37,141.
help! will mark branliest
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Answer:
B is the answer hope you get it right
please help!
Question 8 of 10 Allowable tax deductions do not include O A. personal vacation expenses B. charitable donations O c. home mortgage interest costs O D. educational expenses
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Answer:
A. Personal vacation expenses
Step-by-step explanation:
Because everything else either helps the community or is a required expense
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Answer:
a
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Answer:
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Step-by-step explanation:
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Answer:
10
Step-by-step explanation:
Proprotions:
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Solve for x. x/3 < -6
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Answer:
x < -18
Step-by-step explanation:
x/3 < -6
3 × x/3 < 3 × (-6)
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Step-by-step explanation:
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Step-by-step explanation:
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I would try cymath
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y=3X - 7 and 4x -5y= -20
Answers
x = 5 and y = 8
Step-by-step explanation:
y = 3x - 74x - 5y = -20→ Subtitute the value of y to second equation :
4x - 5y = -20
4x - 5(3x - 7) = -20
4x - 15x + 35 = -20
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y = 3x - 7
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Use the formula below to find the 25th term in the geometric sequence.
an= (-3)2^n-1
A. -100,663,296
B. -50,331,648
C. -25,165,824
D. 50,331,648
Answers
Answer:
B.
Step-by-step explanation:
To solve, substitute 25 in for x:
[tex]a_{x} = (-3)2^x^-^1[/tex]
[tex]a_{x} = (-3)2^2^5^-^1[/tex]
[tex]a_{x} = (-3)2^2^4[/tex]
[tex]a_{x} = (-3)(16777216)[/tex]
[tex]a_{x} = -50331648[/tex]
Each time a hurricane arrives, a new home has a 0.4 probability of experiencing damage. The occurrences of damage in different hurricanes are mutually independent. a. Calculate the probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage. b. Calculate the probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes. c. Calculate the mode of the number of hurricanes it takes for the home to experience damage from three hurricanes.
Answers
Using the binomial distribution, we find that:
a) There is a 0.648 = 64.8% probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage.
b) There is a 0.1728 = 17.28% probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes.
c) The mode is of 7.5 hurricanes.
For each hurricane, there are only two possible outcomes. Either it causes damage, or it does not. The probability of the home experiencing damage from a hurricane is independent of any other hurricane, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
It gives the probability of exactly x successes on n trials, with p probability.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The mode of the number of trials needed for q successes is given by:
[tex]M = \frac{q}{p}}[/tex]
In this problem, there is a 0.4 probability of experiencing damage from a hurricane, thus [tex]p = 0.4[/tex].
Item a:
This is the probability of at most 1 damage in 3 hurricanes, which is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
With [tex]n = 3[/tex].
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.4)^{0}.(0.6)^{3} = 0.216[/tex]
[tex]P(X = 1) = C_{3,1}.(0.4)^{1}.(0.6)^{2} = 0.432[/tex]
Then
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.216 + 0.432 = 0.648[/tex]
0.648 = 64.8% probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage.
Item b:
1 in the first three, with 0.432 probability.Damage in the fourth, with 0.4 probability.Then
[tex]0.432(0.4) = 0.1728[/tex]
0.1728 = 17.28% probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes.
Item c:
Damage from 3 hurricanes, thus q = 3.Then:
[tex]M = \frac{3}{0.4}} = 7.5[/tex]
The mode is of 7.5 hurricanes.
A similar problem is given at https://brainly.com/question/24923631
Question 2 options:
If Mike left his home at 8:00 am, what time did he return home?
Question 3 (1 point)
Compare the time between Mike going to his destination and arriving home from his destination. (Include time units in your answer.)
Question 4 (1 point)
Graph - Mike's Day Off
Write a graphing story about "Mike's Day Off'.
Be sure to explain what is happening during each interval
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y and x graph
Step-by-step explanation:
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Answer:
[tex]17/2[/tex]
Step-by-step explanation:
I don't know what the column method is, but I can give you another method of solving.
We know that [tex]1.5=1~1/2=3/2[/tex], so we really want to find [tex]10-3/2[/tex].
We know that [tex]20[/tex] divided by [tex]2[/tex] is [tex]10[/tex], so we really want to find [tex]20/2-3/2[/tex].
We can combine fractions with like denominators, so we really want to find [tex](20-3)/2[/tex].
We know that [tex]20-3[/tex] is [tex]17[/tex], so we really want [tex]17/2[/tex]. We can't simplify [tex]17/2[/tex] anymore.
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A fish is 5 feet below the surface of a lake. If its position can be recorded as −5 feet, what would the position of 0 represent?
a the distance above the surface of the lake
b the distance below the surface of the lake
c the surface of the lake d the height of the fish
Answers
Answer: C
Step-by-step explanation: The surface of the lake.
An online math game gives one point for each correct answer and -1/2 point for each incorrect
answer.
Alice gets 6 correct answers and 2 incorrect answers.
Jasper gets 6 correct answers and 4 incorrect answers.
Alice has
---- more point(s) that Jasper.
1
two
three
four
one
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Set the mean and standard deviation to 0 and 5 , respectively. Approximately 5% of the area under the normal curve lies to the right of 8.2 . Consider what would happen if you were to change the mean to 50 and keep the standard deviation at 5 . Can you predict the new value for which approximately 5% of the area under the normal curve lies to the right of this value? Enter your answer accurate to one decimal place.
Answers
Using z-scores and the normal distribution, it is found that the new value would be of 58.2.
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X, which is the area to the left of Z under the normal curve.The area to the right of Z is 1 subtracted by the p-value of Z.In this problem:
Mean of 50 and standard deviation of 5, thus [tex]\mu = 50, \sigma = 5[/tex].Area to the right of 0.05, thus Z with a p-value of 1 - 0.05 = 0.95, thus [tex]Z = 1.645[/tex].We have to find the value of X, then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 50}{5}[/tex]
[tex]X - 50 = 1.645(5)[/tex]
[tex]X = 58.2[/tex]
A similar problem is given at https://brainly.com/question/15583760
If u(x) = x^5-x^4x+x^2 and v(x)=-x^2, which expression is equivalent to (u/v)(x)?
Answers
Step-by-step explanation:
(x^5/-x^2)-(x^4x/-x^2)+(x^2/-x^2)
-x^3+x^2-1
20,003x 6 using distributive property of multiplication
Answers
Answer:
360
Step-by-step explanation:
20.3 x 6
