When
|a|=b
assume
a=b and -a=b
so
4+|7-m|=5
minus 4 from both sides
|7-m|=1
assume
7-m=1 and
-(7-m)=1
7-m=1
minus 7 both sidees
-m=-6
times -1 both sides
m=6
-(7-m)=1
distribute
-7+m=1
add 7 to both sides
m=8
m=6 and 8
The inequality that explains why the three segments cannot be used to construct a triangle is ED + EF < DF
<h3>Inequalities </h3>
From the question, we are to determine which of the given inequalities explains why the three segments cannot be used to construct a triangle
From the given information,
Line DE is about half the length of line DF
That is,
ED = 1/2 DF
Also,
Line FE is about one-third of the length of line DF
That is,
EF = 1/3 DF
Then, we can write that
ED + EF = 1/2DF + 1/3DF
ED + EF = 5/6 DF
Since,
5/6 DF < DF
Then,
ED + EF < DF
Hence, the inequality that explains why the three segments cannot be used to construct a triangle is ED + EF < DF
Learn more on Inequalities here: brainly.com/question/1447311
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<h2><u>
Answer:</u></h2><h2><u>
</u>
<u>
</u></h2><h2><u>
</u></h2><h2><u>
Solution Steps:</u></h2>
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<h3>1.) Combine like terms:</h3>
<em> - We do this because we need 1 Number/Variable left over. </em>
<u>Equation at the end of Step 1:</u>
- <u />
<u />
<em />
<h3>2.) Add −17 and 31:</h3>
<em> - We do this because we can only have 1 number on each side of the equals. (This doesn't count towards the number connected to the variable.)</em>
<u>Equation at the end of Step 2:</u>
- <u />
<u />
<h3>3.) Subtract 14 from both sides:</h3>
Cancels Out
<em> - We do this because now we just need the 1 variable and the 1 number on opposite sides of the equal.</em>
<u>Equation at the end of Step 3:</u>
- <u />
<u />
<h3>4.) Multiply both sides by 2:</h3>
- <em />
<em> </em>× 
<em />
- <em />
<em> </em>× 
<em> - We multiply by 2 since we have a fraction. In this case the reciprocal is 2 meaning we multiply by 2. </em>
<em></em>
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The cone itself is 25.13, with the half sphere added it’s 41.8 :)
The correct answer here is D
