Answer:
if we take the number of quarters Barrett have to be x we know Penelope has twice that ie 2x. so in total they have 2x+x = 60, 3x = 60; so x= 60/3 = 20.
Barrett has 20 quarters.
We know that the 8 represent the squared radius of the circle so to get the radius we should take the square root of 8
the answer is √8 = 2√2
Refer to the image attached.
Given:
and
are congruent.
To Prove:
ABC is an isosceles triangle.
Construction: Construct a perpendicular bisector from point B to Line segment AC.
Consider triangle ABD and BDC,
(given)
(By the definition of a perpendicular bisector)
(By the definition of a perpendicular bisector)
Therefore,
by Angle Side Angle(ASA) Postulate.
Line segment AB is congruent to Line segment BC because corresponding parts of congruent triangles are congruent.(CPCTC)