Answer:
The carpet would have to be 120 square feet.
Step-by-step explanation:
12x10 equals 120.
Hope this helps.
Observe the figure below.
Statement Reason
1. AC and BD bisect each other Given
2. AE = EC and BE = ED Definition of bisection
3.
Vertical angle theorem
Vertical angle theorem states " When two lines intersect each other, the vertically opposite angles are always equal".
4.
SAS criterion for congruence
5.
Corresponding angles of congruent triangles are congruent
6.
Converse of alternate interior angle theorem
7.
Vertical angle theorem
8.
SAS criterion for congruence
9.
Converse of alternate interior angle theorem
As,
, so
as corresponding parts of corresponding triangles are equal. As these angles are alternate interior angles, so the lines BC and AD are parallel by "Converse of alternate interior angle theorem".
B. The sample is likely to represent one portion of the population.
This is impossible to say because it's random.
The side length of a square is the square root of the area:
Side length = √49 = 7 feet.
The perimeter of a square is 4s = 4*7 = 28 feet.
To answer this question you can create an equation in terms of the number of zucchini that were planted. Each other plant gives information that can relate to the number of zucchini plants.
# of cucumbers + # of tomatoes + # of zucchini
2z + 2z + 8 + z = 43
5z + 8 = 43
-8 -8
<u>5z</u> = <u>35</u>
5 5
z = 7 plants
There were 7 zucchini plants, 14 (2 x 7) cucumber plants, and 22 (2 x 7 + 8) tomato plants.