Answer:
1/380
Step-by-step explanation:
<u>Probability of Bob's name drawn first is:</u>
- 1/20 as there are 20 people with equal chance
<u>And probability of Laquisha's name drawn second is: </u>
- 1/19 as there are 19 people left with equal chance
<u>Probability of the two events happening is: </u>
- 1/20*1/19 = 1/380 product of individual probabilities
Answer:
midpoint = (-2.5 , - 10)
Step-by-step explanation:
midpoint =( ((x1 + x2)/2) , ((y1+y2)/2)) )
= ( ((-2 + -3)/2) ,(( -8 + -10)/2) )
= ( -2.5 , -10)
Answer:
11 12 13
Step-by-step explanation:
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Answer:
Just a heads up, please google , desmos.com . ive been reccomending this to alot of people. it graphs everything for you while providing adequate reasoning and explanation.
Look at one of the vertices of the heptagon where two squares meet. The angles within the squares are both of measure 90 degrees, so together they make up 180 degrees.
All the angles at one vertex must clearly add up to 360 degrees. If the angles from the squares contribute a total of 180 degrees, then the two remaining angles (the interior angle of the heptagon and the marked angle) must also be supplementary and add to 180 degrees. This means we can treat the marked angles as exterior angles to the corresponding interior angle.
Finally, we know that for any convex polygon, the exterior angles (the angles that supplement the interior angles of the polygon) all add to 360 degrees (recall the exterior angle sum theorem). This means all the marked angles sum to 360 degrees as well, so the answer is B.
