Is this from a test / quiz
1) We know that <DAB and <BAC are supplementary angles according to the exterior angle theorem, so we set up the following equation and solve:
105+x=180
x=75
2) Since we have the angles for <BAC and <ABC and a triangle has its total angles added up to 180, we can set up an equation to find <ABC and solve:
75+35+x=180
110+x=180
x=70
So the m<ABC is 70 degrees.
Hope this helped! Let me know if you need me to clarify anything.
Answer:
55.95 ft²
Step-by-step explanation:
Circumference formula: C = 2πr => r = C / (2π)
Area formula: A = πr²
Substituting C / (2π) for r in the above equation, we get:
C 47 ft
A = π( ----------- )² = π ( -------------- )²
2π (2π)
or ...
π(47 ft)² 2209 ft²
A = ---------------------- = -------------------- = 55.95 ft²
4π² 4(3.14159)²
Angle A ~ Angle FEC
Angle B ~ Angle EFC
Angle BDA ~ Angle FCE
AB ~ EF
BD ~ FC
AD ~ EC
