Which of the following demonstrates the correct first step in bisecting an angle?

1 answer:

5 0

Option C is correct. The statement that demonstrated the correct first step in bisecting an angle is by placing the compass on the vertex of the angle is correct.

An angle is a point where two lines meet or intersect. Bisecting an angle simply means dividing the angles into two equal parts.

For instance, when the angle of 90 degrees is bisected, it is divided into two angles that are 45 degrees each.

A compass is used to bisect an angle and to do this, the first step is to place the compass on the vertex of the angle. This step is done prior to swinging an arc outside the lines that form the angle.

Based on the explanation above, placing the compass on the vertex of the angle is correct.

Learn more here on bisecting an angle: brainly.com/question/17194207

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vladimir1956 [14]

Answer:

$\left\{ \begin{array}{ll} a+s+r=350 \\ 4a+2.5s+2r=1095\\r=s-40 \end{array} \right.$

Step-by-step explanation:

Let's define our variables. Let a represent the number of adult tickets sold, s represent the number of senior tickets sold, and r represent the number of senior tickets sold.

We know that a total of 350 tickets were sold. So, the number of adult, student, and senior tickets sold must total 350. Therefore, we can write the following equation:

$a+s+r=350$

We know that each adult ticket costs $4, each student ticket costs $2.50, and each senior ticket costs $2. We are given that a total of $1095 was collected. Therefore, the number of tickets multiplied by their respective price must equal $1095. So, we can write the following equation:

$4a+2.5s+2r=1095$

Finally, we know that 40 fewer senior tickets were sold than student tickets. So, however many students tickets were sold, we can subtract 40 to get the number of senior tickets sold. Therefore:

$r=s-40$