Answer:
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Step-by-step explanation:
<h3>
Answer: A) z = 12</h3>
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Work Shown:
RS = RT
2z-15 = 9
2z = 9+15
2z = 24
z = 24/2
z = 12
The reason why RS is equal to RT in the first equation is because we have an isosceles triangle. Recall that any isosceles triangle has exactly two sides the same length, and the opposite base angles are congruent to one another. The congruent angles are indicated with the single arcs.
In short: the base angles S and T are congruent, so the opposite sides RS and RT are the same length. This leads to RS = RT.
This looks like scalar matrix multiplication. The idea here is to multiply the scalar 3 by each item inside the matrix.
Doing so leads to the answer [3 -12 15 -21]
Side note: I'm assuming the matrix given to you has 1 row and 4 columns.
Answer:
The school baseball team sold 270 tickets
Step-by-step explanation:
Step 1
Identify the total amount of tickets sold by each player;
1 player=1 book of tickets
But 1 book=10 tickets
Step 2
Express the total cost of ticket sales per book as follows;
total cost=cost per ticket×number of tickets per book
where;
cost per ticket=$3
number of tickets per book=10
replacing;
total cost=(3×10)=$30
Step 3
Using the expression below, solve for the number of tickets sold
Total amount raised=price per ticket×number of tickets sold
where;
total amount raised=$810
price per ticket=$3
number of tickets sold=n
replacing;
810=3×n
3 n=810
n=810/3=270
n=270
The school baseball team sold 270 tickets
