Answer:
DE = 6 cm
Step-by-step explanation:
Let DE = x cm.
Since DE is parallel to AB therefore by the alternate interior angles theorem, m∠BAD = m∠ADE and m∠ABE = m∠DEB ............(1)
As AD is an angle bisector of ∠A, therefore m∠EAD = m∠DAB ; Since BE is an angle bisector of ∠B ⇒ m∠ABE = m∠EBD.
Therefore, from (1) We get , m∠EAD = m∠ADE and m∠EBD = m∠BED.
So, the triangles ADE and EDB are then isosceles with AE = ED and ED = DB.
So AE = DE = DB = x, and since the perimeter of ABDE is 30 cm, then
12 + x + x + x = 30
⇒ 12 + 3x = 30
⇒ x = 6
Hence, the length of DE is 6 cm.
Hello,
Let's calculate the radius:
r²=5²+7²=74
The circle's equation is (x+5)²+(y+7)²=74
Answer C
The complete question is: Henry knows that the circumference of a circle is
18π inches. What is the area of the circle?
Solution:Circumference (C) of the circle can be written as:

Using this value of radius, we can find the Area(A) of the circle.
Therefore, area of the circle having a circumference of 18π inches will be 81π inches²
Answer:
y= -7x+2
Step-by-step explanation: