Answer:
The length of line segment FG is equal to the length of F'G'
The perimeter of pentagon CDEFG is equal to the perimeter of pentagon C'D'E'F'G.
Step-by-step explanation:
Given
CDEFG and C'D'E'F'G
Translation: 7 units up and 5 units left
Solving (a): Segment FG and F'G'
When a shape is translated, the resulting image will have the same lengths as the original image (i.e, translation does not change measurements)
Hence:
Solving (b): Perimeter CDEFG and C'D'EF'G'
In (a), we established that lengths do not change during translation;
Hence:
The perimeter of the CDEFG and C'D'EF'G' will remain the same
Answer:
2.5 hours <u>or</u> 2 hours and 30 minutes
Step-by-step explanation:
130 / 52 = 2.5
Answer: 68 minutes or 1 hour and 8 minutes spent in all putting up the fence
Step-by-step explanation:
(4/5) x 60 = 48 minutes
4/5 is the same as 0.8, which is what you get when you divide four by 5
So, 0.8 x 60 = 48 is also acceptable
Then,
(1/3) x 60 = 20 minutes
1/3 is the same as 0.333333333333, which is what you get when you divided 1 by 3
So, 0.33333(and so on) x 60 = 20
- Typically, you can round 0.3333333 down to something like 0.333 which should give you a similar answer
Then, as it asks you for how much time he spent in all, you add those two together
48 minutes + 20 minutes = 68 minutes OR 1 hour and 8 minutes (There is sixty minutes in 1 hour, so subtract the 60 from 68 and then you have 8 minutes left, thus 1 hour and 60 minutes)
Answer:
<u>4 meters.</u>
Step-by-step explanation:
Benjamin has walked two legs of a right triangle, so you can connect her two movements with a line if you were sketching the situation.. The displacement is the objects overall change in position in relation to its origin, so in your case, Benjamin's apartment. While the total distance adds up regardless of her position.
So, the total distance Benjamin walked is 10m + 6m = 16m
Her displacement can be found by your best friends, the Pythagorean Theorem: 10m ^2 + 6m ^2 = delta x^2 (or displacement squared).. giving you a displacement of 11.66, or 12 m.
The difference between the distance she walked and her displacement is 4 meters.
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
Answer:
D 180 in²
Step-by-step explanation:
step 1
2 (l) (w) + 2 (l) (h) + 2(h) (w)
step 2
2×(6)×(3) + 2×(6)×(8) + 2×(8)×(3)
step 3
2×(18) + 2×(48) + 2×(24)
step4
36 + 96 + 48 = 180 in²
