A(n)=a(1)+d(n-1), d=a(16)-a(15)=-5-(-53)=48
a(15)=a(1)+d*(15-1),
-53=a(1)+48*(15-1),
a(1)=-53-48*14= -725
a(n)=-725+48(n-1)
Step-by-step explanation:
25)
(x + 96) + (x + 96) = 180° (interior angles)
2x + 192 = 180°
2x = 180° - 192°
2x = - 12°
x = - 12°/2
x = - 6°
Therefore
x + 96 = - 6+96 = 90°
26)
(20x + 5) + (24 x - 1) = 180° (interior angles)
44x + 4 = 180°
44x = 180° - 4°
44x = 176°
x = 176°/44
x = 4°
Therefore
20x + 5 = 20*4+5 = 80+4 =84°
27)
6x = 5x + 10 (corresponding angles)
6x - 5x = 10
x = 10
Therefore
6x = 6* 10 = 60°
28)
(x + 109) + (x + 89) = 180° (interior angles)
2x + 198 = 180°
2x = 180° - 198°
2x = - 18°
x = - 18°/2
x = - 9°
Therefore
x + 89 = - 9+96 = 87°
Answer:
Angle C=72º
Step-by-step explanation:
If two angles are congruent they are equals then angle A is 54º and angle B is 54º and the sum of the internal angles of a triangle is 180º then.
C=180º-54º-54º=72º
To know the value of on AC and BC we have to know the value of the other side AB, to find the values of the sides we can use the law of sines;
