9514 1404 393
Answer:
- reflection across the origin
- rotation 180° about the origin
- reflection across the x-axis, and translation right 6 units
Step-by-step explanation:
The figure and its image are symmetrical about the origin, so the following three transformations are equivalent:
1. reflection across the origin
2. rotation 180° about the origin
3. reflection across both x- and y-axes, in either order
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The figure itself has left-right symmetry, so only one reflection is necessary to map the figure to its image: reflection across a horizontal line. Following that reflection, the image can be put into place by an appropriate translation. One such pair of transformations is ...
4. reflection across the x-axis and translation 6 units right, in either order
To find the area of each backyard, we need to multiply the length and width together.
For Branda, her yard is 35 by 90, which means the area is 35*90 which = 3150.
For Laurie, her yard is 40 by 65, which means the area is 40*65 which = 2600.
Now, we are asked to find the difference between Branda and Lauries yard areas. The difference means how much larger Branda's area is than Lauries.
This means we have to subtract Laurie's area from Branda's.
So, we do 3150 - 2600 = 550
So, our answer is 550ft^2
The triangle: 4*4/2=8
The square: 4²=16
16+8=24
In order to get the value of x you have to set x by itself subtract from both sides because the only way to get rid of a positve its with a negative now you have 5x=6, now divide 5 from both sides because the only way to get rid of a multiplication is with a division, this will give you the final answer of x=6/5
Hope this helps
