Answer:
Option A shows the image of RST after the rotation
Step-by-step explanation:
Coordinates of S=(1,3)
Coordinates of R = (-2,1)
Coordinates of T = (-1,7)
We are given that after rotation(x,y)→(y,-x)
So, The new coordinates after rotation will be :
Coordinates of S'=(3,-1)
Coordinates of R'= (1,2)
Coordinates of T'= (7,1)
These are the coordinates of triangle of Option A
So, Option A is true .
Hence Option A shows the image of RST after the rotation
Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.
1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.
According to this theorem,

Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then

Take positive value x. You get

2. According to the previous theorem,

Then

Answer: 
This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then

This means that you cannot find solutions of this equation. Then CD≠2 cm.
Answer:
3/4
Step-by-step explanation:
Reduce both the numerator and the denominator by 10, their greatest common factor.
Hello!
7 out of 11 people brought an umbrella to the beach
this is a fraction of 7/11
We multiply this by 99 to get how many people brought an umbrella out of 99
7/11 * 99 = 63
You subtract this from 99 to see how many did not have an umbrella
99 - 63 = 36
The answer is 36 people
Hope this helps!
To answer this question, you do 5 2/3 divided by 1/2. First, change 5 2/3 to 17/3. Then, use the reciprocal method by doing 17/3 times 2/1, which gives you 34/3. That’s 11.3 repeating, so they can make 11 whole snowmen.