To find the missing side of the quadrilateral, we simply need to subtract the given side lengths from the total perimeter of 50 meters.
Total Perimeter = 50 meters
Given sides:
12 meters + 8 meters + 10 meters = 30 meters
Missing side:
50 meters - 30 meters = 20 meters
Therefore, the simplified equation for finding the missing side length x is:
x = 20 meters
Use the image to answer the question. What is the simplified equation for finding the missing side of the quadrilateral shown, which has a perimeter of 50 meters? (2 points) x+=
11 answers
The ratio of the lengths of the sides of quadrilateral ABCD to quadrilateral GFEH is 2:3 . What is h ? (1 point)
Since the ratio of the lengths of the sides of quadrilateral ABCD to quadrilateral GFEH is 2:3, we can set up the proportion:
ABCD / GFEH = 2 / 3
Given that the height of quadrilateral GFEH is represented by 'h', we can denote the height of quadrilateral ABCD as 2h (since the ratio is 2:3).
Therefore, the proportion becomes:
2h / h = 2 / 3
Now, we solve for h:
2h / h = 2 / 3
2 = 2/3
2 = 2h
h = 1
Therefore, the height 'h' of quadrilateral GFEH is 1.
ABCD / GFEH = 2 / 3
Given that the height of quadrilateral GFEH is represented by 'h', we can denote the height of quadrilateral ABCD as 2h (since the ratio is 2:3).
Therefore, the proportion becomes:
2h / h = 2 / 3
Now, we solve for h:
2h / h = 2 / 3
2 = 2/3
2 = 2h
h = 1
Therefore, the height 'h' of quadrilateral GFEH is 1.
An architect is looking to build a new basketball court for the community. The smaller scale court is 10 by 26. A regulation-sized court is 50 feet wide. What is the length of the official basketball court?(1 point) Responses 260 ft. 260 ft. 5 ft. 5 ft. 130 ft. long 130 ft. long 20 ft.
Given that the smaller scale court is 10 by 26, we can initialize a ratio between the smaller scale court and the regulation-sized court:
Width ratio: 10 / 26 = x / 50
This can be simplified to:
10 / 26 = x / 50
5 / 13 = x / 50
5 * 50 = 13x
250 = 13x
x = 250 / 13
x ≈ 19.23
Therefore, the length of the official basketball court (regulation-sized court) is approximately 19.23 feet.
Width ratio: 10 / 26 = x / 50
This can be simplified to:
10 / 26 = x / 50
5 / 13 = x / 50
5 * 50 = 13x
250 = 13x
x = 250 / 13
x ≈ 19.23
Therefore, the length of the official basketball court (regulation-sized court) is approximately 19.23 feet.
Responses 260 ft. 260 ft. 5 ft. 5 ft. 130 ft. long 130 ft. long 20 ft.
To find the length of the official basketball court, we know that the ratio of the smaller scale court (10 by 26) to the regulation-sized court (50 feet wide) is a linear scale factor.
The width of the smaller scale court is 10 feet, while the width of the regulation-sized court is 50 feet.
So, we can set up a proportion:
10 feet / 26 feet = 50 feet / x
10/26 = 50/x
10x = 26 * 50
10x = 1300
x = 1300 / 10
x = 130
Therefore, the length of the official basketball court is 130 feet.
The answer is: 130 ft. long
The width of the smaller scale court is 10 feet, while the width of the regulation-sized court is 50 feet.
So, we can set up a proportion:
10 feet / 26 feet = 50 feet / x
10/26 = 50/x
10x = 26 * 50
10x = 1300
x = 1300 / 10
x = 130
Therefore, the length of the official basketball court is 130 feet.
The answer is: 130 ft. long
Two similar quadrilaterals have corresponding sides measuring 10 ft. on Figure A and 24 ft. on Figure B . If another side on Figure A is 8 ft. what would be the length of the corresponding side on Figure B ?(1 point)
To find the length of the corresponding side on Figure B when a side on Figure A is 8 ft, we can use proportions since the two quadrilaterals are similar.
Let x be the unknown side length on Figure B.
Using the given side lengths in the corresponding similar quadrilaterals:
10 ft / 24 ft = 8 ft / x
Solving this proportion:
10 / 24 = 8 / x
10x = 24 * 8
10x = 192
x = 192 / 10
x = 19.2
Therefore, the length of the corresponding side on Figure B would be 19.2 ft.
Let x be the unknown side length on Figure B.
Using the given side lengths in the corresponding similar quadrilaterals:
10 ft / 24 ft = 8 ft / x
Solving this proportion:
10 / 24 = 8 / x
10x = 24 * 8
10x = 192
x = 192 / 10
x = 19.2
Therefore, the length of the corresponding side on Figure B would be 19.2 ft.
Right triangle ABC underwent a transformation of 2 units to the right and 3 units down. What are the preimage coordinates of point A ?
To find the preimage coordinates of point A after undergoing a transformation of 2 units to the right and 3 units down, we essentially need to perform the reverse of this transformation.
If the original coordinates of point A are (x, y), the coordinates of the preimage point A after the described transformation would be (x-2, y+3).
So, if the preimage point is at (x-2, y+3), and after the transformation it moved 2 units to the right and 3 units down, then the original coordinates of point A (preimage coordinates) would have been (x, y).
Therefore, the preimage coordinates of point A are (x, y).
If the original coordinates of point A are (x, y), the coordinates of the preimage point A after the described transformation would be (x-2, y+3).
So, if the preimage point is at (x-2, y+3), and after the transformation it moved 2 units to the right and 3 units down, then the original coordinates of point A (preimage coordinates) would have been (x, y).
Therefore, the preimage coordinates of point A are (x, y).