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maksim [4K]
2 years ago
15

A line contains points F, G, H, I, J. The space between F G is 2. The space between H and I is 1. The space between F and I is 7

.
If FG = 2 units, FI = 7 units, and HI = 1 unit, what is GH?
Mathematics
1 answer:
Studentka2010 [4]2 years ago
3 0

Based on the segment addition postulate, the length of GH is: 4 units.

<h3>What is the Segment Addition Postulate?</h3>

The segment addition postulate states that if a line segment is divided into smaller parts, the sum of the length of the smaller parts equals the length of the line segment.

  • FG = 2 units
  • FI = 7 units
  • HI = 1 unit
  • GH = ?

FI = FG + HI + GH [segment addition postulate]

7 = 2 + 1 + GH

7 = 3 + GH

7 - 3 = GH

4 = GH

GH = 4 units.

Learn more about the segment addition postulate on:

brainly.com/question/2134445

#SPJ1

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Step-by-step explanation:

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Simplify the expression.

Exact Form: -352/15

Decimal Form: -23.46

Mixed Number Form: -23 7/15

Step-by-step explanation:

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For this case we have that the expression in its exact form is the same, that is:

5 \sqrt {10}

If it is expressed in decimal form we have:

5 \sqrt {10} = 1.5849

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\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}

Then, we can rewrite the expression as:

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8 0
3 years ago
A contractor records all of the bedroom areas, in square feet, of a five-bedroom house as: 100, 100, 120, 120, 180 What is the v
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The variance is the total of the squared distances of the given data from the mean. 

This can be calculated through the equation,
        
                            σ² = summation of X² / N  - μ²

where σ² is the variance X's are the data, N is the number of terms, and μ is the mean.

   summation of X² = 100² + 100² + 120² + 120² + 180² = 81200
                          N = 5
                                        μ = (100 + 100 + 120 + 120 + 180) / 5
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Substituting these values to the equation for variance,
                                 
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4 0
3 years ago
Read 2 more answers
Divide 650 sweets between Cia, Mia and Tia in the proportion 3:4:6. Calculate how many sweets each girl gets.​
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Answer:

150, 200, 300

Step-by-step explanation:

sum the parts of the ratio , 3 + 4 + 6 = 13 parts

divide the total by 13 to find the value of one part of the ratio

650 ÷ 13 = 50 ← value of 1 part of the ratio , then

3 parts = 3 × 50 = 150 ← number of sweets Cia gets

4 parts = 4 × 50 = 200 ← number of sweets Mia gets

6 parts = 6 × 50 = 300 ← number of sweets Tia gets

5 0
2 years ago
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