Answer:
alright so 1 and 2 are equal to each other because there congruent angles. When angkes are congruent to each other or in other words the opposite to each other there equal.
It is critical to open a compass with over half the way in order for the arcs formed to meet for perpendicular bisector.
<h3>What is perpendicular bisector?</h3>
A perpendicular bisector would be a line that cuts a line segment in half and forms a 90-degree angle at the intersection point. In other words, a perpendicular bisector separates a line segment now at midpoint, forming a 90-degree angle.
Now, consider an example;
When you wish to build a perpendicular line on a line segment, like line AB, you do the following;
- Set the compass on a radius more than half the length of the line AB.
- Using A as your center, draw an arc above and below line AB.
- With the same radius and B as our center, draw additional arcs on top or below line AB to join a first arcs on the both side of the line.
- Join the two arc intersections to cut line AB at M.
A line AB appears to be bisected perpendicularly as a result. The arcs would not have met if the compass is opened less than half way down line AB.
To know more about perpendicular bisector, here
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Area of polygon ABCDE will be summation of all the areas of triangle = 7.95 + 9.8 + 8.75 = 26.5 square units.
The triangles are similar by Angle-Angle
Answer:
You can denote the width of the rectangle as x,
than the length of the rectangle will be 2x
and the perimeter of the rectangle will be two length plus two width and it should be equal to 54 in
and the equation will look 2(2x)+2x=54
solving the equation 6x=54, x=9in
So the width of the rectangle is 9in and the length is 9*2=18in
and the area of the rectangle is 9*18=162 sq in.