Answer:
B. 60 ft²
Step-by-step explanation:
The overall area of the parallelogram is the product of its base length (15 ft) and height (8 ft), so is ...
overall area = (15 ft)(8 ft) = 120 ft²
The area of the quadrilateral in the middle of the parallelogram is the area of two triangles, each with a base equal to 15 ft (the horizontal line in the diagram), and heights that total 8 ft. If we let x represent the height of one of those triangles, then the other has a height of (8-x) and the sum of their areas is ...
quadrilateral area = (1/2)(15 ft)(x) +(1/2)(15 ft)(8 ft -x)
= (1/2)(15 ft)(x + 8 ft - x) = (1/2)(15 ft)(8 ft) = 60 ft²
Then the shaded area is the difference between the parallelogram area and the quadrilateral area:
shaded area = parallelogram area - quadrilateral area
= (120 ft²) - (60 ft²)
= 60 ft²
The area of the shaded region is 60 ft².
Answer: A. The number 23 is prime, but 36 is composite.
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Explanation:
Let's go through the possible answer choices
- A) This is true because 23 only has the factors 1 and 23. So that's why 23 is prime. We can say 36 is composite since 2 is a factor, ie 36 = 2*18.
- B) This is false because 33 is not prime. Note how 33 = 3*11, showing that 3 is a factor of 33.
- C) Similar to B, the statement "21 is prime" is false. Note how 21 = 3*7.
- D) Like the other false statements, 27 is not prime because 27 = 3*9.
<em>so</em><em> </em><em>the</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>8</em><em> </em><em>units</em><em>.</em>
<em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em>
Answer:
y = 1x - 2
Step-by-step explanation:
Answer: 90
Step-by-step explanation:
Its B, 90 on edge 2020.
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