Answer:
an = 3n - 3
Step-by-step explanation:
The nth term of an arithmetic progression is expressed as;
an = a + (n-1)d
a is the first term
n is the number of terms
d is the common difference
a8 = a + (8-1)d
a8 = a + 7d = 21 ....1
a10 = a+9d = 27 ....2
Subtract 1 from 2
7d - 9d = 21 - 27
-2d = -6
d = -6/-2
d = 3
Since a + 7d = 21
a + 7(3) = 31
a + 21 = 21
a = 21 - 21
a = 0
Get the nth term
Recall that an = a + (n-1)d
an = 0 + (n-1)*3
an = 3n - 3
Hence the nth term of the sequence is 3n - 3
Hello from MrBillDoesMath!
Answer:
45 (all three: 45, 45, 90)
Discussion:
Let "x" be the base angle in the isosceles triangle. As base angles are equal in an isosceles triangle and a triangle contains 180 degrees:
x + x + 90 = 180 =>
2x + 90 = 180 => subtract 90 from both sides
2x = 180 -90 =>
2x = 90 => divide both sides by 2
x = 45
Thank you,
MrB
Answer:
4x + 15x + 7
Step-by-step explanation:
x2 + x2 = 4x
5x + 10x = 15x
-14 + 21 = 7
Answer:
25 degrees
Step-by-step explanation:
vertical angle 63 make oposite lines form a 63 degree angle. You need to find s. Now subtract 38 from 63, so 63-38 = 25 degrees
Answer:
The constant of proportionality is 12.
Step-by-step explanation:
Let's take a look at the formula give to us:
48=4k
First, we have to isolate the variable, K, by dividing 4 on both sides.
48/4=4/4 k
48/4=12
12=k
We can check the answer by plugging it back into the equation:
12*4=48
48=48
Hence, the variable k equals 12.
