Answer: ≈ 185.73009
Step-by-step explanation:
area of square: 
area of circle: 
length: 15
radius = diameter/2
radius: 5
area of square - area of circle = area between square and circle:
≈ 185.73009
hope it helps!
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Answer: His mom's age is 48
Step-by-step explanation: If his age is 1/4 his mother, then if we know his age, we do the opposite. Multiply his age by 4, we get 48.
Let x be the initial width, then the initial length is x+20.
<span>If Elise decreases this length by 8 feet, she will get the new length x+20-8=x+12.
</span>
If Elise increases the width by 10 feet, <span>she will get the new width x+10.
</span><span>
</span><span>The new perimeter will be x+12+x+12+x+10+x+10=4x+44=172, 4x=172-44, 4x=128, x=128÷4, x=32.
</span><span>
</span><span>The initial width is 32 ft and the initial length is 32+20=52 ft.
</span><span>
</span><span>The new width will be 32+10=42 ft, the new length will be 32+12=44 ft.
</span>
Answer:
= 9
Step-by-step explanation:
The given parameters are;
The point of intersection of the perpendicular bisectors of the sides 
, 
, and 
intersect (meet) at point G
Let D represent the point of intersection of the perpendicular bisector from G to , we have for ΔBGD and ΔCGD;
≅ by reflexive property
∠GDB = ∠GDC = 90° given that is the perpendicular bisector of
Similarly, 
≅ 
, also given that is the perpendicular bisector of
Therefore;
ΔBGD ≅ ΔCGD by Side-Angle-Side (SAS) rule of congruency
≅ 
by Congruent Parts of Congruent Triangles are Congruent, (CPCTC)
= = 9 by definition of congruency
∴ = 9.
