Answer:
Assuming the problem asks to rotate counterclockwise: E' (0,0) F' (0,5) G' (-4,5) H' (-4,0)
If it says rotate clockwise then your points will be: E' (0,0) F' (0,-5) G' (4,-5) H' (4,0)
Step-by-step explanation:
Translate the points first by subtracting 3 from the x-coordinates of each, then subtracting 3 from the y-coordinates of each. Next, to rotate them counterclockwise about the origin 90 degrees, switch the x and y coordinates and the sign of the resulting x-coordinate. To rotate clockwise 90 degrees switch the x and y still but change the sign of the resulting y coordinate.
Answer:
x=32
Step-by-step explanation:
Multiply both sides by 4.
(x/4)*(4) = (8)*(4)
We can have different variables to represent each brother (there can be different variations and ways to solve, but I'll do it my way).
Matt=m
Jeff=3m
Todd=m+25
Matt Jeff Todd
m+3m+(m+25)=275 3(50) 50+25
5m+25=275 =150 =75
5m=250
m=50
Matt spent $50, Jeff spent $150 and Todd spent $75
Check:
50+150+75
=$225
Answer:
Step-by-step explanation:
The figure is composed of 3 Right triangles. To find the values of the variables x and y we use the Pythagorean theorem to propose one equation.
Now we solve for x
Let's call z at the angle opposite to y
Then we have that:
Where
Now we use this angle to find the length y
Where in this case
Answer:
Step-by-step explanation:
