Answer:
D.) This system has no solutions (The one you chose is correct)
Step-by-step explanation:
y = 8x + 9
-8x + y = -1
-8x + y = -1
y = 8x - 1
These two lines will also never meet as the slope are both 8, but the y-intercept is different, to check, look at the graph below.
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)
Find the least common multiples of 4, 10, 12, 15
multiples of 4:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80
multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120
multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150
The least common multiple of 4, 10, 12, and 15 is 60.
4 x 15 = 60
10 x 6 = 60
12 x 5 = 60
15 x 4 = 60
Answer:
a. (5x+75)°
b. x = 21
c. X° = 21° and (4x+75)°= 159°
Step-by-step explanation:
A. Combine like integers.
B. (5x+75)°=180° Because they are suplementary angles.
5x°= 105°
5x ÷5 = 105 ÷ 5
x = 21
C. (4x + 75)°
4(21) + 75
84 + 75 = 159°