Steps to solve:
5(x + 1) = 20
~Distributive property
5x + 5 = 20
~Subtract 5 to both sides
5x + 5 - 5 = 20 - 5
~Simplify
5x = 15
~Divide 5 to both sides
5x/5 = 15/5
~Simplify
x = 3
Best of Luck!
Answer:
9 ft = 9 × 12 = 108 in
ratio is 1:108
Step-by-step explanation:
I think every angle below 90 degrees
Answer:
a_n = 2^(n - 1) 3^(3 - n)
Step-by-step explanation:
9,6,4,8/3,…
a1 = 3^2
a2 = 3 * 2
a3 = 2^2
As we can see, the 3 ^x is decreasing and the 2^ y is increasing
We need to play with the exponent in terms of n
Lets look at the exponent for the base of 2
a1 = 3^2 2^0
a2 = 3^1 2^1
a3 = 3^ 0 2^2
an = 3^ 2^(n-1)
I picked n-1 because that is where it starts 0
n = 1 (1-1) =0
n=2 (2-1) =1
n=3 (3-1) =2
Now we need to figure out the exponent for the 3 base
I will pick (3-n)
n =1 (3-1) =2
n =2 (3-2) =1
n=3 (3-3) =0
Answer:
12
Step-by-step explanation:
the shapes are similar which means the sides are proportional, you can set up a ratio using the sides as 10/40 = 3/x
solving that gives you x =12