6. A restaurant sold 16 servings of lasagna in one night. This represents 64% of the lasagna prepared for the evening. How many
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Answer:
(a) x = 30°
(b) mRS = 30°
mST = 120°
mTU = 120°
mUR = 90°
Step-by-step explanation:
(a) In the picture attached, the diagram is shown.
Given that m arc RS = x, from the ratios:
m arc ST = 4x
m arc TU = 4x
m arc UR = 3x
The addition of the four arcs must be equal to 360°, then:
x + 4x + 4x + 3x = 360°
12x = 360°
x = 360°/12 = 30°
(b) m arc RS = x = 30°
m arc ST = 4x = 4*30° = 120°
m arc TU = 4x = 4*30° = 120°
m arc UR = 3x = 3*30° = 90°
Kayla buys two pairs of jeans for j dollars each and one shirt for 15 dollars. The cost of one pair of jeans is $22.5 (twenty-two dollars and fifty cents)
From the given information
- Let the cost of two pairs of jeans be 2j
- The cost of 1 shirt = 15
- Total amount to spent = $60
∴
The equation is said to be expressed as:
- 2j + 15 - 60 = 0
Collect like terms
- 2j = 60 - 15
- 2j = 45
Divide both sides by 2
- j = 22.5
Therefore, we can conclude that the cost of one pair of jeans is $22.5 (twenty-two dollars and fifty cents).
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