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Answer:
15 ways
Step-by-step explanation:
We are given that a set S={E,F,G,H,J}
We have to find the number of ways to select two members from S with repetition.
Combination formula
We have n=5 , r= 2
Number of ways in which two members from S can be selected when repetition is not allowed=
Number of ways in which two members from S can be selected when repetition is not allowed=
Number of ways in which two members from S can be selected when repetition is not allowed=
When a member repeat then combination
{E,E},{F,F},{G,G},{H,H},{J,J}
There are 5 combination when a member is repeat and select two members from S.
Total number of ways in which to select two members from S with repetition =10+5=15 ways
The value of x is:
<u><em>Recall</em></u>:
Perimeter of a shape is the sum of all its sides
<em>Thus</em>:
Perimeter of the triangle =
Perimeter of the rectangle =
We are told that the perimeter of both shapes are equal. Set both perimeters equal and solve for x.
<em>Add like terms</em>
<em />
<em>Divide both sides by 3</em>
<em />
The value of
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