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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Step-by-step explanation:
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Check answers:
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Answer:
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Step-by-step explanation:
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OC. (6,7)
D.(8,12)
Answers
Answer:
B
hope it helped
Coordinates of G will be : (3, 7)
What is a slope?
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Step-by-step explanation:
Answer:
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ive learned this before
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Answer:
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Answer:
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This is worth 30 points I need help ASAP PLEASE PLEASE HELP!!
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Answer:
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Step-by-step explanation:
smart boi
Step-by-step explanation:
A = (3, 6)
B = (6, 9)
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first scaled down (dilated) by the factor of 1/3 in the direction of the origin = point (0, 0).
then moved left by 2 units and down by 3 units.
the dilation about the origin simply multiplies each coordinate by the scale factor.
Ad = (3×1/3, 6×1/3) = (1, 2)
Bd = (6×1/3, 9×1/3) = (2, 3)
Cd = (9×1/3, 3×1/3) = (3, 1)
to move 2 units to the left means to subtract 2 from the x coordinates.
to move 3 units down means to subtract 3 from the y coordinates.
A' = (1-2, 2-3) = (-1, -1)
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Submit
Answers
9514 1404 393
Answer:
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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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Answer:
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Answers
Answer:
You can use 48 and 24
Step-by-step explanation:
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Answer:
The numbers we could use for the denominators is 48 and 24.
Can someone give me advice please..I'm having a panic attack because a car hit my car when i was turning on a yellow arrow and it was clear but this brown jeep speeded to hit my car. how do i fix it without my dad knowing. i am willing to pay a lot to fix it but i just don't want to get in trouble and I don't want him finding out :(
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Answer:
keep the car at a friends house untill you find a place to get it fixed at... or keep it at a trustworthy family members house.
If these don't help then im sorry.
If this done help I’m sorry! God rest your soul
Neeeed asapppp!!!!!!!!!
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Answer:
NM
Step-by-step explanation:
The hypotenuse is always the longest side.
Explanation:
For any triangle, the longest side is always opposite the largest angle.
Which ratio is equivalent to 3:10?
9:10
9:13
9:20
9:30
Answers
Answer:
9:30
Step-by-step explanation:
9:30 = 3:10
If we put a ratio into a fraction for better visual representation, we will see that 3:10 turns in 3/10. If we multiply both the numerator and denominator by 3, we will get 9/30. You can divide 3 from both sides of 9/30 and it will go back to 3/10.
tl:dr Multiply both sides of a ratio to get the equivalent ratio.
-5/2/-19/10
Pls Answer this question I can't figure it out!!!
Answers
Answer:
decimal result is 0.6 but fraction wise its 3/5
Help plz very urgent
Answers
Answer:
N+5
Step-by-step explanation:
4,9,14,19
4+5=9+5=14+5=19….
Find the equation of the line.
Use exact numbers
y =
2+
y
4
9+
8+
7+
6+
5+
4
3+
2
1
+2
1 2 3 4 5 6 7 8 9
-9-8-7-6-5-4-3/2
-2
-3
-5-
-6-
-7-
-8-
-97
Answers
Answer:
Step-by-step explanation:
two points on the line are (-2,0) and (0,4)
slope=(y2-y1)/(x2-x1)=(4-0)/(0-(-2))=4/2=2
eq. of line is y-0=2(x-(-2))
y=2(x+2)
y=2x+4
What is the equation of this line?
y=34x−3
y=−3x−34
y=−3x−43
y=43x−3
Answers
Step-by-step explanation:
this line goes through the points (0, -3) and (4, 0).
so, the y-axis intercept is at y = -3.
therefore, the equation has to end with "- 3".
the slope (the factor of x in the equation) is the y/x ratio of the changes of y and of x when going from one point to the other :
x changes by 4 positive units (from 0 to 4), and y changes by 3 positive units (from -3 to 0).
so, the slope is 3/4.
and so, the equation is
y = (3/4)x - 3
find the sum of all the numbers between 0 and 207 which are exactly divisible by 3
Answers
Answer: 7038 Brainliest please.
Step-by-step explanation:
to find : n
tn=a + [(n-1)d]
204=3+(n-1) 3
204-3= 3n- 3
201=3n-3
201+3=3n
204=3n
n=204/3
n =68
As we know
Sn=n/2(t1+tn)
Sn=68/2(3+204)
34(207)
7038
Sienna has $40 to spend at the pumpkin patch each pony ride is $6
Answers
Answer:
There is no direct question on here so I'll just assume you're asking how many rides she can get on???
Step-by-step explanation:
6 x 1 = 6
6 x 2 = 12
6 x 3 = 18
6 x 4 = 24
6 x 5 = 30
6 x 6 = 36
6 x 7 = 42
So she can get on about 6 rides (once again, if thats what ur trying to ask..)
PLEASE HELP ME DUE IS 10 MINUTES PLEASE PLEASE
Answers
Answer: its c.
Step-by-step explanation: hope it helps ; )