How would you describe the correlation in the data? Explain your reasoning.
1 answer:
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Answer:
See Explanation
Step-by-step explanation:
Given
Rectangle A:
Required
Determine the possible dimensions of Rectangle B
<em>The question has missing options; however, the question can still be solved.</em>
<em></em>
Rectangle B being an enlarged copy of A implies that the dimension of A A is enlarged in equal proportion to form B
Take for instance, the measurements of Rectangle B are
Divide the corresponding lengths of B by A to get the enlargement ratio
For length:
For width
Notice that both ratios are the same.
For this measurement of B, we can conclude that B is an enlargement of A
Assume another measurements for B
Calculate Ratios
For length:
For width
Notice that, both ratios are not equal.
For this measurement of B, we can conclude that B is not an enlargement of A
<em>Conclusively, all you have to do is: determine the ratios of the dimensions of B to A, if the result are equal then B is an enlarged copy of A; if otherwise, then B is not an enlarged copy</em>
Answer: x = 50
Concept:
Here, we need to know the idea of alternative interior angles and the angle sum theorem.
<u>Alternative interior angles</u> are angles that are formed inside the two parallel lines, and the values are equal.
The <u>angle sum theorem</u> implies that the sum of interior angles of a triangle is 180°
If you are still confused, please refer to the attachment below or let me know.
Step-by-step explanation:
<u>Given information:</u>
AC ║ DE
∠ABC = 85°
∠A = 135°
<u>Find the value of ∠BAC</u>
∠A + ∠BAC = 180° (Supplementary angle)
(135°) + ∠BAC = 180°
∠BAC = 45°
<u>Find the value of ∠BCA</u>
∠ABC + ∠BAC + ∠BCA = 180° (Angle sum theorem)
(85°) + (45°) + ∠BCA = 180°
∠BCA = 50°
<u>Find the value of x (∠EBC)</u>
∠EBC ≅ ∠BCA (Alternative interior angles)
Since, ∠BCA = 50°
Therefore, ∠EBC = 50°
Hope this helps!! :)
Please let me know if you have any questions
Answer:
4.82
Step-by-step explanation:
0.000082 + 0.0004 = 0.000482 = 4.82