Answer:
Option D - .
Step-by-step explanation:
Given : From a group of 8 volunteers, including Andrew and Karen, 4 people are to be selected at random to organize a charity event.
To find : What is the probability that Andrew will be among the 4 volunteers selected and Karen will not?
Solution :
Choosing 4 people out of 8 volunteers is
Choosing a group of 4 with Andrew and no karein is given by,
One position is fixed by Andrew and Karein the number of volunteer left is 6.
Rest 3 volunteers is chosen from 6.
Choosing 3 people out of 6 volunteers is
The probability that Andrew will be among the 4 volunteers selected and Karen will not is given by,
The probability that Andrew will be among the 4 volunteers selected and Karen will not is .
Therefore, option D is correct.
On the given diagram you see two right triangles with equal hypotenuses and pair of equal angles.
Based only on the information given in the diagram you can conclude that triangles are congruent by HA theorem (<span>the HA theorem states that "if the hypotenuse and an acute angle
of one right triangle are congruent to the hypotenuse and an acute
angle of another right triangle, then the two triangles are congruent").</span>
<span />
Also you can conclude that triangles are congruent by AAS Postulate (<span><span>the AAS Postulate states that "if two angles and a non-included side of one triangle are congruent to the corresponding
parts of another triangle, then the triangles are congruent"</span>).
</span>
Answer:
Step-by-step explanation:
(18 - 6)/(4-2)= 12/2= 6 slope
y - 6 = 6(x - 2)
y - 6 = 6x - 12
y = 6x - 6
y int= (0, -6)
Answer:
-49 275/1000
Step-by-step explanation:
Segment addition postulate
Substitution
Distribution Property of Equality
Simplification, or Adding like terms
Subtraction property
Division Property