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xenn [34]
2 years ago
14

Nancy put new insulation in her attic and discovered that her heating bill for December decreased from $160 to $100. What is the

percent decrease?
The amount of decrease is ______?
Mathematics
1 answer:
WINSTONCH [101]2 years ago
4 0

Answer:

37.5% decrease

Step-by-step explanation:

To find a relative percentage you generally follow the rule of part divided by whole.

$100 / $160 = .625 (62.5%)

So $100 is 62.5% of $160

To find the decrease we need to subtract 62.5% from 100%

100 - 62.5 = 37.5

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Option C

The length of RT is 14

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For a given Right Triangle

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{\color{chartreuse}{Measure\:of\: ∠\:on\: one\: side\:of\:line\:=\:180°}}

∠ Given are (x + 18)° , x° , 4x° and one Angle is 90° as per diagram

Let ,

1st∠ = (x + 18)°

2nd∠ = x°

3rd∠ = 4x°

so ,

⟶\:(x \:+\: 18)°\:+\:x°\:+\: 4x°\:+\:90°\:=\:180°

⟶\:6x°\:+ \:18°\:+\:90°\:=\:180°

⟶\:6x°\:+ \:108°\:=\:180°

⟶\:6x°\:=\:180°\:-\:108°

⟶\:6x\:=\:72°

⟶\:x\:=\:\frac{72}{6} \\

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= 12° + 18 °

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__________________________________

= x°

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= 4x°

= 4(12)°

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