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1 answer:
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Answer:
16 faults
Step-by-step explanation:
<u><em>The correct question is</em></u>
In tennis, a first serve can be an ace, a fault, or it can be returned. In one match, a tennis player hit 24 aces, which was 2/5 of all her first serves. If 1/3 of her first serves were returned, how many of the tennis player's first serves were faults?
Let
x -----> the number of all her first servers
y ----> the number of first services returned
z ---> the number of first services faults
we know that
The number of aces plus the number of returned plus the number of faults must be equal to the number of all her first services
so
step 1
Find out the number of all her first servers
we have that
Solve for x
step 2
Find out the number of first services returned
substitute the value of x
step 3
Find out the number of first services faults
we have
substitute and solve for z
Answer:
|CE|=2
Step-by-step explanation:
The quadrilateral is shown in the attachment
Recall that the diagonals of a rectangle are congruent.
This implies that:
|AC|=|BD|
We substitute the expressions to get:
This is now a linear equation in one variable.
Group similar terms to get:
Simplify to get:
15=3x
Divide both sides by 3 to get:
Recall again that the diagonals of a quadrilateral bisect each other.
Plug x=5
