Student B:
1/2 / 4
= 1/2 x 1/4
= 1/8
student A:
2/3 / 6
= 2/3 x 1/6
= 1/9
student C:
4/5/ 8
= 4/5 x 1/8
= 1/10
answer
student B: 1/8 of a mile per minute
student A: 1/9 of a mile per minute
student C: 1/10 of a mile per minute
Answer:
x = -7
Step-by-step explanation:
Recall this rule of exponents:
a^b*a^c = a^(b+c)
We have:
6^9*6^x = 6^2
Then 9 + x = 2. Subtracting 9 from both sides, we get: x = -7
Answer:
We conclude that the original triangle ΔDEF is dilated by a scale factor of 5/2 to get the image triangle ΔD'E'F'.
Therefore, 'Cárl' is correct. Hence, option 'a' is correct.
Step-by-step explanation:
Checking the location of the vertices of the original triangle ΔDEF
Checking the location of the dilated vertices of the image triangle ΔD'E'F'
- D'(-5, 10)
- E'(5, 10)
- F'(0, 5)
Notice that if we multiply the vertices of the original triangle ΔDEF by 5/2, we get the correct image vertices of image triangleΔD'E'F'
i.e.
D(-2, 4) → D'(5/2 (-2), 5/2 (4)) → D'(-5, 10)
E(2, 4) → E'(5/2 (2), 5/2(4)) → D'(5, 10)
F(0, 2) → E'(5/2 (0), 5/2(2)) → F'(0, 5)
Thus, we conclude that the original triangle ΔDEF is dilated by a scale factor of 5/2 to get the image triangle ΔD'E'F'.
Therefore, 'Cárl' is correct. Hence, option 'a' is correct.
We call a full circle or a full rotation 360 degrees. There's nothing magic
or mathematical about that number. It was invented by people. It could
have been any number they wanted.
But it was a great choice because it has a lot of factors. With 360 degrees
in a full rotation, you can split up a full rotation into 2, 3, 4, 5, 6, 8, 9, 10, 12,
15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, or 180 equal pieces, without
ever slicing up a degree !
