Answer: you would sell about 5 large and small candles.
Step-by-step explanation:
144 / 5 = 28.8 and that's the closest your gonna get.
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Given:
Amount spent on 2 DVDs = $41.75
Sales tax = $3.15
Coupon = $1.00 off
To find:
The cost of each DVD.
Solution:
Let x be the cost of each DVD.
Then, cost of two DVDs = 2x
Amount spent of 2 DVDs = Cost of 2 DVDs + Sales tax - Coupon discount
![41.75=2x+3.15-1.00](https://tex.z-dn.net/?f=41.75%3D2x%2B3.15-1.00)
![41.75=2x+2.15](https://tex.z-dn.net/?f=41.75%3D2x%2B2.15)
![41.75-2.15=2x](https://tex.z-dn.net/?f=41.75-2.15%3D2x)
![39.6=2x](https://tex.z-dn.net/?f=39.6%3D2x)
Divide both sides by 2.
![\dfrac{39.6}{2}=x](https://tex.z-dn.net/?f=%5Cdfrac%7B39.6%7D%7B2%7D%3Dx)
![19.8=x](https://tex.z-dn.net/?f=19.8%3Dx)
Therefore, the cost of each DVD is $19.8.
Answer:
- 109°, obtuse
- 131°, obtuse
- 53°, acute
- 124°, obtuse
Step-by-step explanation:
You are exected to know the relationships of angles created where a transversal crosses parallel lines.
- Corresponding angles are equal (congruent).
- Adjacent angles are supplementary, as are any linear pair.
- Opposite interior (or exterior) angles are equal (congruent).
The appearance of the diagram often gives you a clue.
You also expected to know the name (or category) of angles less than, equal to, or greater than 90°. Respectively, these are <em>acute</em>, <em>right</em>, and <em>obtuse</em> angles.
1. Adjacent angles are supplementary. The supplement of the given angle is 109°, so x will be obtuse.
2. Opposite exterior angles are equal, so y will be 131°. It is obtuse.
3. Opposite interior angles are equal, so w will be 53°. It is acute.
4. Corresponding angles are equal, so x will be 124°. It is obtuse.