Answer:
There are 7 sides.
Step-by-step explanation:
Let's Use the formula that states that the sum of the angles of an n-sided polygon is given by.
S=(n−2)180
Since we are given that the two angles are right, the angles and each of the remaining angles is 144.
And Therefore, the sum is:
S=90
(n−2)144
(n−2)180
=90
+90
+(n−2)144
⇒(n−2)180
−(n−2)144
=180
⇒(n−2)(180
−144
)=180
⇒(n−2)(36
=180
⇒n−2=
36
180
⇒n−2=5
⇒n=5+2=7
Hence, the polygon has 7 sides.
Front yard
65+65+45+45=220
Back yard
45+45+35+35=160
220+160=380
380 feet
Answer:
SAS theorem
Step-by-step explanation:
Given
Required
Which theorem shows △ABE ≅ △CDE.
From the question, we understand that:
AC and BD intersects at E.
This implies that:
and
So, the congruent sides and angles of △ABE and △CDE are:
---- S
---- A
or --- S
<em>Hence, the theorem that compares both triangles is the SAS theorem</em>
2x^2+8xy+8y^2
2(x^2+4xy+4y^2)
