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Illusion [34]
3 years ago
11

Identify the percent of change as an increase or a decrease. 54 to 38 Increase Decrease Question 2 Find the percent of change. R

ound to the nearest tenth of a percent if necessary. %
Mathematics
2 answers:
Elena-2011 [213]3 years ago
8 0

Answer:

  decrease of 29.6%

Step-by-step explanation:

The percentage change can be calculated as ...

  percent change = ((new value)/(old value) -1) × 100%

  = (38/54 -1) × 100%

  = -0.2963 × 100%

  = -29.6%  . . . . . . . . . negative means decrease

54 to 38 is a decrease of 29.6%.

Bas_tet [7]3 years ago
6 0

Answer: 29.6% increase

Step-by-step explanation:

Percent of change is calculated by

(old number - new number) / old number x 100

54 - 38/54 ×100

= 16/54 × 100

=29.6%

I hope this helps.

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The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times
almond37 [142]

Answer:

First angle = 30°

Second angle = 60°

Third angle = 90°

Step-by-step explanation:

x + y + z = 180

y + z = 5x

z = y + 30

then:

y + (y+30) = 5x

2y + 30 = 5x

x = (2y+30)/5

then:

x + y + z = 180

{(2y+30)/5} + y + y+30 = 180

{(2y+30)/5} + 2y + 30 = 180

{(2y+30)/5} = 180 - 30 - 2y

{(2y+30)/5} = 150 - 2y

2y+30 = 5(150-2y)

2y+30 = 5*150 + 5*-2y

2y+30 = 750 - 10y

2y + 10y = 750 - 30

12y = 720

y = 720/12

y = 60°

x = (2y+30)/5

x = (2*60 + 30)/5

x = (120+30)/5

x = 150/5

x = 30°

z = y + 30

z = 60 + 30

z = 90°

Check:

x + y + z = 180°

30° + 60° + 90° = 180°

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