Answer:
5,114.6
Step-by-step explanation:
5.1146 x 10^3 means move decimal point 3 to the right to get the answer
Answer:
x = 25; both labeled angles are 65º
Step-by-step explanation:
To find the value of x, recall that the angles formed by two parallel lines on the same line are equal if they correspond to each other.
In the figure given above, we have two parallel line given. The angle formed by each parallel line is corresponding to the other. Therefore, both angles formed are equal.
Thus,
(3x - 10)° = (x + 40)°
Solve for x
3x - 10 = x + 40
Subtract x from both sides
3x - 10 - x = x + 40 - x
3x - x - 10 = x - x + 40
2x - 10 = 40
Add 10 to both sides
2x - 10 + 10 = 40 + 10
2x = 50
Divide both sides by 2
2x/2 = 50/2
x = 25
*Plug in the value of x to find the measure of each labelled angles:
(3x - 10)° = 3(25) - 10 = 75 - 10 = 65°
(x + 40)° = 25 + 40 = 65°
B) is an arithmetic sequence because you are adding by 2 each time. The other sequences don’t match this criteria.
I’m sorry I’m not sure what else to say I hope this somewhat helped :/
Have a great day :)
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.
