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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1. A rectangular canvas picture measures 12 inches by 28 inches. The canvas is mounted inside a frame of uniform width, increasing the total area covered by both canvas and frame to 612 square inches. Find the uniform width of the frame.
Answers
The uniform width of the frame is 16.61 inches.
Since a rectangular canvas picture measures 12 inches by 28 inches, and the canvas is mounted inside a frame of uniform width, increasing the total area covered by both canvas and frame to 612 square inches, to find the uniform width of the frame you must perform the following calculation:
√ (612 - (28 x 12)) = X √ (612 - 336) = X √276 = X 16.61 = X
Therefore, the uniform width of the frame is 16.61 inches.
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HELP ASAP!!!!! If the big triangle below has an area of 20 m squared what does x equal
Answers
Answer:
[tex]20 = (x + 1) \times 10 \times 0.5 \\ = 5 \times (x + 1) \\ x + 1 = 20 \div 5 = 4 \\ x = 4 - 1 = 3 \\ enjoy \: it[/tex]
1. Find the equation of a parabola with a focus of (0, -6) and directrix y = 6.
Max points
Answers
9514 1404 393
Answer:
(d) y = -1/24x² (b) y = 1/36x²Step-by-step explanation:
1. The point halfway between the focus and directrix is the origin. That is, the vertex of the parabola is the origin. Then its equation can be written ...
y = 1/(4p)x²
where p is the distance from the vertex (origin) to the focus. Here, that distance is -6, so 4p = -24 and the parabola's equation is ...
y = -1/24x²
__
2. Same deal. The vertex is the origin, but this time the focus is above the origin by 9 units. Then the equation is ...
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can someone pls help me <33
Answers
9514 1404 393
Answer:
(a) 29/69
Step-by-step explanation:
It can help to be familiar with divisibility rules. Even numbers are divisible by 2, so the fraction 174/414 can immediately be reduced to 87/207.
Both numbers have a digit total that is divisible by 3, so each of these numbers can further be divided by 3, reducing the fraction to 29/69. The number 29 is prime, so this fraction cannot be reduced further.
The reduced fraction is ...
made shots/attempts = 174/414 = 29/69
__
Additional comment
As is often the case, a calculator can help you identify arithmetic expressions that have the same value (are equivalent).
174/414 ≈ 0.42028986
29/69 ≈ 0.42028986 . . . . same value
87/207 ≈ 0.42028986 . . . . same value, but 29/69 is reduced
17/41 ≈ 0.41453415 . . . . . not equivalent
14/46 ≈ 0.30434783 . . . .not equivalent (and not reduced; both numbers are even)
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B. -4
C. -6
D. 4
Answers
Answer:
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Step-by-step explanation:
the numbers in the sequence keep increasing by a unit of 4.
-5 + 4 = -1
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Answer:
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Step-by-step explanation:
Whats 4+4+(6x168) and the answer in Spanish
Answers
Which statement explains why 13x−13y=−26 shares a solution with this system of equations:
10x−3y=29
−3x+10y=55
Answers
The given equation is derivable from the system of equations.
Response:
The reason why 13·x - 13·y shares a solution with the given system of equation is because -13·x - 13·y equals 55. I can subtract -3·x + 10 from the left side of 10·x - 3·y = 29, and subtract 55 from its right side. Subtracting equivalent expressions from each side of an equation does not change the solution of the equation.Method by which the relationship between the equations was determinedGiven:
The system of equation is presented as follows;
[tex]\begin{cases} \mathbf{10 \cdot x - 3 \cdot y} = 29...(1) & \text{ } \\ \mathbf{-3 \cdot x + 10 \cdot y} = 55...(2) & \text{ } \end{cases}\\[/tex]
Therefore, by subtracting equation (2) from equation (1), we have;
(10·x - 3·y) - (-3·x + 10·y) = 29 - 55 by subtracting equivalent expressions
13·x - 13·y = 29 - 55 = -26
13·x - 13·y = -26, which is the given equation
Given that the operation performed on equation (1) and (2) is the
subtraction of equivalent expressions, we have, that the solution for the
given equation, 13·x - 13·y = -26 is the same as the solution for given
system of equations.
The reason why 13·x - 13·y = -26 shares a solution with the system of equations based from the given options in a similar question is therefore;
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Answers
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Answers
Answer:
60x^2 + 40x - 48xy - 32y
Step-by-step explanation:
Let's solve this using the FOIL (first, inner, outer, last) method.
(10x-8y) (6x+4)
= 10x × 6x + 10x × 4 - 8y × 6x - 8y × 4
= 60x^2 + 40x - 48xy - 32y
Answer: 60x^2 + 40x - 48xy - 32y
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
WILL MARK BRAINLIEST Select the correct answer.
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y 10
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8
00
17
6
5
5
w
3
-2
N
X
1
2
3
5
ch
6
7
7
GO
9
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ОА.
OB &
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9
OD
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don't know Sorry sorry
Answer:
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Answers
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---------------------------------
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---------------------------------
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---------------------------------
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
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.
So, the answer is [tex]\boxed{17/2}[/tex] and we're done!
Find the value of this expression if x = 5.
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
5
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\frac{x^2-5}{x-1}\\-----------\\\\\rightarrow \frac{(5)^2-5}{5-1}\\\\\rightarrow \frac{25-5}{5-1}\\\\\rightarrow\frac{20}{4}\\\\\rightarrow \boxed{5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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