Answer:
y = 90 -5/2 x
Step-by-step explanation:
The angle on the left equals x+3x+x = 5x
The angle on the right equals 2y
The two angles are same side interior angles which are supplementary because the lines are parallel
5x+2y = 180
Solving for y
2y = 180-5x
Divide by 2
2y/2 = 180/2 -5x/2
y = 90 -5/2 x
corresponding to AB is 38 feet, the length of the side corresponding to BC is 22 feet, and their included angle measures 115°. For
what length BC is the scale drawing correct?
Answer:
The rule of the translation is (x,y) ----> (x+3,y-6)
The coordinates of the duck’s final position are (4,-3)
Step-by-step explanation:
we know that
A duck is going to fly from the coordinates (1, 3) then go 3 units right. And 6 units down
That means -----> The rule of the translation is
3 units right ----> x+3
6 units down ---> y-6
so
(x,y) ----> (x+3,y-6)
To find out the the coordinates of the duck’s final position, apply the rule of the translation to the duck’s original position
so
(1,3) ------> (1+3,3-6)
(1,3) ------> (4,-3)
What are the answer options?
A rotation of 270 would be equal to 630, 990, etc. Adding 360 degrees would result in the same rotation.
A rotation of 90 degrees counter-clockwise would also result in the same rotation, as would 90 plus any multiple of 360 if rotated counter-clockwise.
D the point of intersection is the solution