The angles produced are vertically opposite angles, thus opposite angles are <u>congruent</u>. The applicable statements are; A, B, C and D.
Lines AD and EC meeting at point B produces set of angles that are <u>congruent</u> (by vertical opposite property).
Now considering the given diagram, it can be observed that the following statements <u>are</u> applicable: A, B, C and D.
- Option A is applicable because of the <em>rigid</em> transformation process of
rotation about B. - Option B is applicable because D will be <em>located</em> on ray BA after the
rotation.
- Option C is applicable since both processes <em>are</em> true.
- Option D is applicable since <ABC and <DBE are <em>vertically</em> opposite angles.
- Option E is NOT applicable <ABC is NOT <em>congruent</em> to <ABE.
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The total number of golf balls that Mr.Cooper has in the 3 pails is 305
<h3><u>Solution:</u></h3>
It is given that Mr. Cooper has 3 pails with golf balls in them.
The first pail has 87 ball
The second has 105 golf balls and the third has 113 golf balls.
We need to find the total number of golf balls that Mr. Cooper has in the 3 pails.
To find the total number of golf balls we need to add the number of balls in each pail.
<em>Total number of golf balls in 3 pails = number of balls in first pail + number of balls in second pail + number of balls in third pail</em>
Total number of golf balls = 87+105+113
= 305 balls
Therefore, the total number of golf balls in all 3 pails combined it 305