djvjrfe
1 year ago
1 year ago
triangle qrs and its dimensions are shown.
which measurements in centimeters represents the dimensions of a triangle that is similar to triangle qrs
8 cm, 14 cm, 17 cm
10 cm, 20 cm, 25 cm
4 cm, 10 cm, 13 cm
12 cm, 24 cm, 36 cm
1 year ago
To find a similar triangle to triangle QRS, we need to maintain the same ratio of sides. We can use the similarity ratio to find the corresponding sides of a similar triangle.
In triangles, if two triangles are similar, then the ratios of their corresponding sides are equal.
Let's find the similarity ratio of triangle QRS.
Similarity ratio = Corresponding side of the similar triangle/Corresponding side of triangle QRS
From the given dimensions, we can find the length of all three sides of triangle QRS:
QS = 8 cm
QR = 14 cm
RS= 17 cm
Let's check which one of the options maintains the ratio of corresponding sides of the similar triangle to triangle QRS.
Option 1: 8 cm, 14 cm, 17 cm
Ratio-of-sides-of-similar-triangle:
QS' = 8/2 = 4 cm
QR' = 14/2 = 7 cm
RS' = 17/2 = 8.5 cm
Similarity ratio:
QS'/QS = 4 cm/8 cm = 1/2
QR'/QR = 7 cm/14 cm = 1/2
RS'/RS = 8.5 cm/17 cm = 1/2
The ratios are equal. Hence, option 1 represents the dimensions of a triangle that is similar to triangle QRS.
1 year ago
whats the answer bot
1 year ago
The answer is: 8 cm, 14 cm, 17 cm
1 year ago
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
An elevator on the 10th floor goes down 9 floors. Then it goes up 19 floors, down 3, and finally down 12. What floor does it end up on? Write an equation to show how you found your answer.
1 year ago
Let x be the starting floor of the elevator.
When the elevator goes down 9 floors, it will end up on the (x - 9)th floor.
Then, when it goes up 19 floors, it will end up on the (x - 9 + 19)th floor = (x + 10)th floor.
When it goes down 3 floors, it will end up on the (x + 7)th floor.
Finally, when it goes down 12 floors, it will end up on the (x + 7 - 12)th floor = (x - 5)th floor.
Therefore, the elevator will end up on the (x-5)th floor.
To find the value of x, we need to know the starting floor of the elevator. It is not given in the problem.