Answer:
The midpoint of the segment is (6, 4.5).
Step-by-step explanation:
Midpoint of a segment:
The midpoint of a segment is given by the mean of the coordinates of their endpoints.
Segment with coordinates (3,6) and (9,3).
Mean x-coordinate: (3+9)/2 = 12/2 = 6
Mean y-coordinate: (6+3)/2 = 9/2 = 4.5
The midpoint of the segment is (6, 4.5).
Answer:
C. Australia and Antarctica were a single landmass in the past.
Step-by-step explanation:
The most likely explanation for why the fossils of this plant are found on these two continents is that Australia and Antarctica were a single landmass in the past.
This evidence is vastly supported by the theory of plate tectonics originally, the theory of continental drift.
Plate tectonics proposes that all land masses were once joined together as a single supercontinent called Pangaea.
The region of Antartica and Australia were once joined as a single continental mass.
The plant must have developed together at that time.
When the continents moved apart, they still had the fossils.
The triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.
A triangle is a three-sided polygon that consists of three edges and three vertices.
The ratio of the lengths of corresponding sides of triangles ABC and DEF.
AB and DE are corresponding sides, so:
AB/DE = (distance between A and B) / (distance between D and E)
= 2.5 / 5
= 0.5
BC and EF are corresponding sides, so:
BC/EF = (distance between B and C) / (distance between E and F)
=1.118 / 2.236
= 0.5
AC and DF are corresponding sides, so:
AC/DF = (distance between A and C) / (distance between D and F)
AC/DF = 2.236 / 4.472
= 0.5
We see that all three ratios are equal to 0.5.
Hence, the triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.
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Answer:
(A) the center of dilation is at (-2,-1)
(E) the scale factor is 2
Answer:
Step-by-step explanation:
56. 6x = 132
x = 22
57. 2/3 = -8x
-24x = 2
x = -2/24= -1/12
58. 5/11x = 55
5x = 605
x = 121
59. 4/5 = 10/16x
4/5 = 5/8x
23 = 25x
23/25
60. 3 2/3x = 2/9
11/9x = 2/9
11x = 2
x = 2/11
61. 4 4/5x = 1 1/5
24/5x = 6/5
24x = 6
x = 6/24 = 1/4
Not drawn to scale
What is the missing measure on the big rectangle?
6 feet
10 feet
24 feet
30 feet
Answer: the missing measure on the big rectangle is 30 feet.
Step-by-step explanation:
If the small rectangle was enlarged to create the big rectangle, it means that they are similar. This also means that the dimensions of the larger rectangle different form the dimensions of the smaller rectangle by a constant ratio or factor.
The smaller rectangle has a length of 12 feet and width of 2 feet. The larger rectangle has a length of x feet and width of 5 feet. This means that
x/12 = 5/2
Cross multiplying, it becomes
2x = 12 × 5 = 60
x = 60/2 = 30
Answer:
d 30
Step-by-step explanation:
ed 2020
Answer:
36=b^2 or b=the square root of 36
Step-by-step explanation:
The sides of a square are all equal in length. To find the area of a square you can multiply the two sides together. Considering that they are the same length, you can just square one of the side lengths to get your answer. To find a side length you can take the square root of the area.
Answer:
Step-by-step explanation:
b · b = 36