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wlad13 [49]
3 years ago
8

Justify each step in the solution of the equation 5(x+2)=24-2x

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
8 0

Answer:

x=2

Step-by-step explanation:

5(x+2)=24-2x

5x+10=24-2x

5x-(-2x)+10=24

5x+2x=24-10

7x=14

x=14/7

x=2

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The areas of two similar triangles are 72dm2 and 50dm2. The sum of their perimeters is 226dm. What is the perimeter of each of t
zloy xaker [14]

Answer:

103=  p small

plarge = 123

Step-by-step explanation:

We know that the the ratio of the areas is the scale factor squared/

Larger triangle over smaller triangle

72

----- = scale factor ^2

50

simplify by dividing by 2 on top and bottom

36

----- = scale factor ^2

25

Take the square root of each side

sqrt(36)

-------------- = sqrt(scale factor ^2)

sqrt(25)

6

-------------- = scale factor

5

The ratio of the perimeters is the scale factor

p large             6

-------------- = ----------------

 p small                5

Using cross products

6 p large = 5 p small

We know the sum is 226

p large + p small = 226

p large = 226 - p small

We have 2 equation and 2 unknowns

6 p large = 5 p small

Substitute for p large

6 (226 - p small) = 5 p small

1356 - 6 p small = 5 p small

Add 6 p small to each side

1356 = 11 p small

divide by 11

1356/11 =  p small

P large = 226-1356/11

p large = 2486/11-1356/11

plarge = 1130/11

The solution requires whole number answers so

1356/11 =  p small

123.27 which rounds to 123

plarge = 1130/11

plarge = 102.7272 = 103

6 0
3 years ago
58,927 move to the decimal left 4 place
olga nikolaevna [1]
So in the number 58,927 your decimal point starts after the 7. When you move it to the left four places (four numbers) the decimal is now right after the 5. Your new answer is 5.8927. Hope I helped :D
5 0
3 years ago
Read 2 more answers
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