The width of the card to the nearest tenth of an inch is 6.15 inches
<h3>Area of rectangle</h3>
- Width = x
- Length = 2x + 1
- Area = 88 square inches
Area of a rectangle = Length × Width
88 = (2x + 2) × x
88 = 2x² + 2x
2x² + 2x - 88 = 0
x = -b ± √b² - 4ac / 2a
= -2 ± √2² - 4(2)(-88) / 2(2)
= -2 ± √4 - (-704) / 4
= -2 ± √708 / 4
= -1/2 ± √177/2
x = 6.15 or -7.15 inches
The width of the rectangle can not be negative, so, 6.15 inches is the width.
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Question 1:
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Justification: definition of linear pair
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Conclusion: Point U is the midpoint of RN
Justification: RU=UN, definition of midpoint
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Sorry question 3, don't know what it's trying to say
Answer:
D.)
Step-by-step explanation:
5. We add all the freshman, 92 + 86 = 178.
6. We add all the sophomores surveyed, 116 + 52 = 168,
7. We add the numbers under the "yes" category, 92 + 116, which is 208.
8. We add the numbers under the "no" category, 86 + 52, which is 138.
11. A marginal frequency is the total of freshman, 222, and the total sophomores are 192. The marginal frequency of freshman are greater than that of the sophomores.
(there is no #9, #10, or a table for #12)
192 is the answer definately
