Answer:
What is the question
Step-by-step explanation:
Answer:
30500
Step-by-step explanation:
104%=31,720
100%= x
<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
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<em>Keywords: statement, length, reason, proof</em>
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Answer:
x=21
Step-by-step explanation:
Notice the right angle. Perpendicular to it on the right, we have two complementary angles, 25, and 3x+2 (you can ignore the parentheses basically). Because they are complementary angles, they will add up to 90, so we can make an equation to solve for x:
25+3x+2=90
3x+2=65
3x=63
x=21
So x=21 is the correct answer. Let me know if you have any questions about my explanation.
