Answer:
Equation: 7+15.50x=100
People= 6
Step-by-step explanation:
7+15.50x=100
-7 = -7
15.50x = 93
divide by 15.50= 6
15.50 times 6 = 93
The arc length of the partial circle is 7.5π
<h3>Calculating arc length</h3>
From the question, we are to determine the arc length of the partial circle
The length of an arc can be calculated by using the formula

Where
is the length of the arc
is the angle subtended
and r is the radius
From the diagram,
θ = 270°
r = 5
Putting the values into the equation, we get



OR 7.5π
Hence, the arc length of the partial circle is 7.5π
Learn more on Calculating arc length here: brainly.com/question/16552139
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<h2> <u>Direct answer</u> :</h2><h2>

</h2>
- segment AE and BD bisect each other.
- ∠BCA and ∠DCE are equal.
- Segment AC and segment CE are equal.
- Segment BC and segment CD are equal.
- △ACB≅△ECD
<h2>

</h2>
- Given.
- They are vertically opposite angles, so they are equal.
- The bisector BD divides segment AE into two equal parts which are Segment AC and segment CE.
- The bisector AE divides the segment BD into two equal parts which are segment BC and segment CD.
- △ACB≅△ECD under the SAS congruence criterion because two sides and one included angle is equal.
<h3>Steps to derive these statements and reasons :</h3>
Given :
- segment AE and segment BD bisect each other
Which means :
- ∠BCA and ∠DCE are equal because they are vertically opposite angles.
- Segment AC = segment CE because the bisector BD divides the segment AE into two equal parts which are segment AC and segment CE.
- segment BC and segment CD will be equal because bisector AE divides the segment BD into two equal parts which are segment BC and segment CD.
Since two sides and one included angle is equal △ACB≅△ECD under the SAS congruence criterion .