Answer:
x = 40
Step-by-step explanation:
x + 100 + x = 180 {Straight line angles}
2x + 100 = 180 {subtract 100 from both sides}
2x = 180 - 100
2x = 80 {Divide both sides by 2)
x = 80/2
x = 40
Answer:
4 inches
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
64 = s^3
Take the cube root of each side
(64)^ 1/3 = (s^3) ^1/3
4 = s
Answer:
105°, 75°, and 105°.
Step-by-step explanation:
If two straight paths intersect at a point , four angles will be formed.
These are pairs of vertical angles.
The adjacent angles add up to 180°
If one of the angles is 75°, the supplement will be
Therefore the three other angles will be , 105°, 75°, and 105°.
The sum of a geometric sequence is:
s(n)=a(1-r^n)/(1-r) in our case:
s(n)=3(1-4^n)/(1-4)
s(n)=-(1-4^n)
s(n)=(4^n)-1 and s=1023
(4^n)-1=1023
4^n=1024
n ln4=ln1024
n=(ln1024)/(ln4)
n=5
