Answer:
The formula for the nth term of this sequence is: 31 + (n-1)X6
Step-by-step explanation:
This is an arithmetic sequence (ie. each term is the last term with a fixed value added to it).
T1 =31
T2 = 37 = T1 + 6 = 31 + 6
T3 = 43 = T2 + 6 = 31 + 6 + 6 = 31 + 6X2
…
In general, the nth term is 31 + 6(n-1)
Answer:
z = 96; x = 8.
Step-by-step explanation:
z = 96. This is because the angle measuring z degrees is a vertical angle of the angle measuring 96 degrees, which means that the two angles are congruent.
The angle measuring 5x + 44 degrees forms a straight angle with the 96 degree angle. That means that the measurements of the two angles will add to be 180 degrees.
5x + 44 + 96 = 180
5x + 140 = 180
5x = 40
x = 8
Hope this helps!
Answer:
expand (a + 7) * 2: 2a + 14
Step-by-step explanation:
(a + 7) * 2
= 2 ( a + 7)
apply the distributive law: a(b + c) = ab + ac
a = 2, b = a, c = 7
= 2a + 2 * 7
multiply the numbers: 2 * 7 = 14
= 2a + 14
Answer:
Step-by-step explanation:
Volume of the cube = s^3
s = 9cm
V = 9 * 9 * 9
V = 729 cm^3
d = mass / volume
d = 3645 / 729
d = 5 grams / cm^3