sides of right angle triangle follows Pythagoras theorem
a^2 + b^2 = c^2
where a, b and c are sides of triangle
if you check, option 3 follow this. so answer is option 3
Answer:

Step-by-step explanation:
Solve for the value of
:

-Subtract both sides by
:

So, the value of
is
.
The square root of 10 because
sqrt(10) ^2 * 3.14 =
10*3.14 = 31.4
Answer: He is paid $90 last weekend.
Step-by-step explanation:
Since we have given that
Amount he earns per hour = $6
If he works on Saturday, he is paid time and a quarter .
Amount would be

If he works on Sunday, he is paid time and a half.
Amount would be

Number of hours he worked on Saturday = 6 hours
Number of hours he worked on Sunday = 5 hours
So, Total amount he is paid last weekend altogether is given by

Hence, he is paid $90 last weekend.
From the figure, the vertices of the given triangle are
(-3,4), (1,3) and (5,5).
The given transformation is (x,y) -> (x+3, y-2).
Therefore the coordinates of the transformed triangle are
(-3+3,4-2), (1+3,3-2), (5+3,5-2) = (0,2), (4,1), (8,3)
The transformed triangle is shown in red color.