Answer:
The statement, one fifth of the square of a number is written as

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5x + 6 + (-7x - 4)
5x + 6 - 7x - 4
-2x + 2
        
             
        
        
        
To enable the completion of the proof that line <em>l</em> is parallel to line <em>m</em>, a 
diagram showing the lines and their common transversal is attached. 
The completed two column proof is presented as follows;
Statement   Reason
                                                      Reason
1. ∠1 and ∠2 are supplementary angles   1. Given
   1. Given
2. m∠1 + m∠2 = 180°    2. <u>Definition of supplementary ∠s</u>
                                 2. <u>Definition of supplementary ∠s</u>
3. ∠1 and ∠3 are supplementary angles   3. Exterior sides in opposite rays
  3. Exterior sides in opposite rays  
4. <u>m∠1 + m∠3 = 180° </u>     4. <u>Definition of supplementary ∠s</u>
                                4. <u>Definition of supplementary ∠s</u>
5. m∠1 + m∠2 = m∠1 + m∠3       5. <u>Transitive property of equality</u>
                   5. <u>Transitive property of equality</u>
6. <u>m∠2 = m∠3 </u>      6. <u>Subtraction property of equality</u>
                                        6. <u>Subtraction property of equality</u>    
7. l ║ m       7. <u>Converse of alternate interior </u>
                                                   7. <u>Converse of alternate interior </u>
      <u>angles postulate</u>
                                                                      <u>angles postulate</u>
Reasons:
- Reason for statement 2: Supplementary angles are defined as two angles that sum up to 180°
- Reason for statement 3: Two angles are supplementary if the exterior sides that form each angle are opposite rays (rays that are drawn out infinitely in opposite direction but have the same endpoint)
- Statement 4: Mathematical expression of the sum of ∠1 and ∠3; Reason for statement 4 is the definition of supplementary angles
- Reason for statement 5: Transitive property of equality describes the property that if a number <em>x</em> = <em>y</em>, and <em>z </em>= <em>y</em>, then <em>x</em> = <em>z</em>.
- Statement 6: Subtracting m∠1 from both sides of the equation in statement 5. gives; m∠1 + m∠2 - m∠1 = m∠1 + m∠3 - m∠1 ⇒ m∠2 = m∠3. Reason for statement 6 is the subtraction property of equality
- Reason for statement 7: The converse of the alternate interior angles postulate states that if the alternate interior angles formed between two  lines and a common transversal are congruent, the two lines are parallel.
Learn more here:
brainly.com/question/25178453
 
        
             
        
        
        
Answer:<em> 10 miles</em>
Step-by-step explanation:
<em>Mile 1: 3.00</em>
<em>Mile 2: 3.50</em>
<em>Mile 3: 4.00</em>
<em>Mile 4: 4.50</em>
<em>Mile 5: 5.00</em>
<em>Mile 6: 5.50</em>
<em>Mile 7: 6.00</em>
<em>Mile 8: 6.50</em>
<em>Mile 9: 7.00</em>
<em>Mile 10: 7.50</em>