The blank box should be equal to 4
Multiple 1.65/100 which equals 14.4375
The add 14.4375 to 875 & round to the closest cent which is 889.44
Answer:
1. 5 3/8
2. 3 7/12
3.7 11/15
4. 1 5/8
5. 6 8/12
6.2 7/15
7. 5 7/12
8. 6 1/3
Step-by-step explanation:
Hope this helps have a great day Sry if I got any wrong
<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:
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<em>STATEMENT REASON </em>
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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:
Going horizontally,
Q1 a) x = 133°
Q1 b) x = 59°
Q1 c) x = 189°
Q1 d) x = 32°
Q1 e) x = 72°
Q1 f) x = 36°
Q2 a) x = 53°
Q2 b) x = 94°
Q2 c) x = 10°
Workings out:
To work out the interior angles, you need to know that angles on a straight line add up to 180°. In addition, you also need to know that angles around a point add up to 360°. When you need to find a missing angle, if the angle is on a line or in a triangle, take whatever value/values the angle/angles you have are and take it away from 180°. If the angle is around a point, (or in a square, where all angles are the same anyway) add however many values you have for the angles then take that away from 360°. Hope this helps! :)
