How many terms are in this expression -x2 -10 + 9x -4x2
2 answers:
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The area of the pentagon is 1,453 squared centimeters.
Given information-
The length of the apothem of a regular pentagon is 20 cm.
The measure of the perimeter of a regular pentagon is 145.3 cm.
The length of the apothem of a rectangular pentagon is 20 cm.
The measure of the perimeter of a rectangular pentagon is 145.3 cm.
<h3>Pentagon-</h3>
Pentagon is the closed shaped polygon which has 5 sides. When these 5 sides are equal in length then the pentagon is called teh regular pentagon. When four of the sides of pentagon make a rectangle then the pentagon is called the rectangular pentagon.
<h3>Area of regular pentagon-</h3>Area of regular pentagon is half of the product of its apothem and perimeter. It can be given as,
Thus the area of the pentagon is 1,453 squared centimeters.
Learn more about the regular pentagon here;
Answer:
A two column proof is presented as follows;
Statement Reason
1. AB ║ DE, BD bisects AE Given
2. ∠BAE = ∠AED, ∠ABD = ∠BDA Alternate ∠s are equal
3. =
,
=
By definition of bisection of line AE by BD
4. ΔABC ≅ ΔEDC By SAA, rule of congruency
Step-by-step explanation:
Step 1. AB ║ DE, BD bisects AE Given
Step 2. ∠BAE , ∠AED, and ∠ABD, ∠BDA are pairs of alternate angles formed by the parallel lines, AB and DE and are therefore, equal
Step 3. =
,
=
The bisection of line gives two lines of equal length. The bisection of AE by BD gives,
and
where
=
Similarly, the bisection of BD by AE gives, and
, where
=
Step 4. ΔABC ≅ ΔEDC By the Side-Angle-Angle (SAA), rule of congruency, which states that two triangles having two angles and the corresponding non included sides of each triangle equal to the other, the two triangles are congruent.