Which fraction has the same value as 2 3 8
1 answer:
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Answer:
Answer:
ounces of mixed nuts will be in each bag.
Step-by-step explanation:
unit rate is defined as the rates are expressed as a quantity of 1, such as 3 feet per second or 6 miles per hour, they are called unit rates.
Given the statement: Candy buys 20 ounces of mixed nuts. She puts an equal amount of ounces in each of 3 bags.
Total number of mixed nuts Candy buys = 20 ounces.
As she puts an equal amount of ounces in each of the 3 bags.
Unit rate per bag = ounces.
therefore, ounces of mixed nuts will be in each bag.
Answer:
(a) ∠P = 60°
(b) ∠CFD = 104°
(c) no
Step-by-step explanation:
It is convenient to start by finding the measures of the arcs around the circle. We know BD is a diameter, so arc BD measures 180°. Point C divides it into parts with the ratio 2:1, so ...
arc BC = (2/3)(180°) = 120°
arc CD = (1/3)(180°) = 60°
Arc BE is the supplement to arc ED, so is ...
arc BE = 180° -32° = 148°
and arcs BA and AE are each half that, so are ...
arc BA = arc AE = 148°/2 = 74°
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(a) Arc ABC = arc BA +arc BC = 74° +120° = 194°
Arc AE = 74° (from above). The angle at P is half the difference of arcs ABC and AE:
∠P = (194° -74°)/2
∠P = 60°
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(b) ∠CFD is half the sum of arcs CD and BE:
∠CFD = (60° +148°)/2
∠CFD = 104°
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(c) ∠CEA is half the measure of arc CBA, so is ...
∠CEA = 194°/2
∠CEA = 97°
AE is not perpendicular to PC.
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The attached diagram is to scale.
