The trick with this is take a piece of paper you can see through and draw the lines of the graph (dont write the numbers) trace the shape and then rotate it the way you need to then line it up with the rest of the graph and you have your answer
Answer:
A
Step-by-step explanation:
its the only negative whilst others are positive
Answer:
x = 20
Step-by-step explanation:
the angles shown are supplementary
supplementary angles add up to 180°
hence, 5x - 7 + 3x + 27 = 180
==> combine like terms
8x + 20 = 180
==> subtract 20 from both sides
8x = 160
==> divide both sides by 8
x = 20
<h3>
Answer: Check out the diagram below</h3>
Explanation:
Because point A is the center of dilation, it will stay fixed. It never moves. Everything else around it will move. Specifically, every point but A will move inward closer to A.
To get from A to B, we move 9 spaces. The scale factor 1/2 means we'll move half that amount and 9/2 = 4.5 spaces will be between A' and B'. Relabel A' as point E, and change the name of B' to F.
To go from A to D, we do the following steps
- move to the right 9 spaces
- move up 6 spaces
Cut each of those values in half to get 9/2 = 4.5 and 6/2 = 3. The results 4.5 and 3 are the horizontal and vertical distances we must travel when going from A' to D'. We'll relabel point D' as point H.
To go from D to C, we move 3 spaces. This cuts in half (again because of the scale factor) to get 3/2 = 1.5 spaces which is the distance from D' to C', aka from H to G.
Everything is marked in the diagram below.
Answer:
-58
Step-by-step explanation:
d2 - 9k + 3 for d = 10 and k= 9
(10)2-9(9)+3
20-81+3
-61+3
-58