Answer:
a). m∠AED = 70°
b). x = 10°
Step-by-step explanation:
a). Quadrilateral ABDE is a cyclic quadrilateral.
Therefore, by the theorem of cyclic quadrilateral,
Sum of either pair of opposite angle is 180°
m(∠AED) + m(∠ABD) = 180°
m(∠AED) = 180° - 110°
m(∠AED) = 70°
Since, ∠AED ≅ ∠EAD
Therefore, m∠AED = m∠EAD = 70°
b). By triangle sum theorem in ΔABD,
m∠ABD + m∠BDA + m∠DAB = 180°
110° + 40° + m∠DAB = 180°
m∠DAB = 180° - 150°
m∠DAB = 30°
m∠BAE = m∠EAD + m∠BAD
= 70° + 30° = 100°
By angle sum theorem in ΔACE,
m∠EAC + m∠AEC + m∠ACE = 180°
100° + 70° + x° = 180°
x = 180° - 170°
x = 10°
13. 81.64
14. 803.84
15. 153.83
16. 753.6
you just use circumference and area formulas for a circle
7 * 38 + 3*45 - 56
use order of operations
(7*38) + (3*45) - 56
266 + 135 - 56
=345
Answer:
3x-4y-6x+28y
-3x-6x-4y+28y
-9x+24y
Step-by-step explanation:
25 minutes!! you were very close, you just needed to translate the fraction to minutes!
