Simplifying
30c + -45d
Factor out the Greatest Common Factor (GCF), '15'.
15(2c + -3d)
Final result:
15(2c + -3d)
        
                    
             
        
        
        
Answer:
I think true im sorry if its not 
 
        
                    
             
        
        
        
Answer:
x = 7 is the answer for the smaller number
7 + 1 = 8 is the answer for the larger number
Step-by-step explanation:
LET x and  x+1 be the two numbers here, as your hint suggests.
5x + 3(x+1) = 59
5x + 3x+3 = 59
8x = 59-3
8x = 56
/8      /8
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x = 56/8 ---> x = 7
x = 7 is the answer for the smaller number
7 + 1 = 8 is the answer for the larger number
Check:
5 * 7 + 3 * 8 = 59
35 + 24 = 59
59 = 59 CORRECT
 
        
             
        
        
        
<em>Answer:</em>
Complete proof is written below.
Facts and explanation about the segments shown in question :
- As BC = EF is a given statement in the question
- AB + BC = AC because the definition of betweenness gives us a clear idea that if a point B is between points A and C, then the length of AB and the length of BC is equal to the length of AC. Also according to Segment addition postulate, AB + BC = AC. For example, if AB = 5 and BC= 7 then AC = AB + BC → AC = 12
- AC > BC because the Parts Theorem (Segments) mentions that if B is a point on AC between A and C, then AC > BC and AC>AB. So, if we observe the question figure, we can realize that point B lies on the segment AC between points A and C.
- AC > EF because BC is equal to EF and if AC>BC, then it must be true that the length of AC must greater than the length segment EF.
Below is the complete proof of the observation given in the question:
<em />
<em>STATEMENT                              REASON  </em>
___________________________________________________
1. BC = EF                                    1. Given
2. AB + BC = AC                         2. Betweenness
3. AC > BC                                   3. Def. of segment inequality
4. AC > EF                                   4. Def. of congruent segments
<em />
<em>Keywords: statement, length, reason, proof</em>
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