Answer:
x = 18
Step-by-step explanation:
difference between y = 12, x=72 is 6
so if y = 3 then multiply 3×6 = 18
Answer: Statement p is false.
Step-by-step explanation:
In both cases, we need to isolate the variables:
p: -3*x + 8*x - 5*x = x
(-3*x - 5*x) + 8*x = x
-8x + 8*x = x
0 = x
This will be true only for one value of x, so this is not always true, which means that the statement is false.
q: (3*x)*(5*y) = 15*x*y
let's solve the left side:
3*x*5*y = 15*x*y
(3*5)*(x*y) = 15*x*y
15*x*y = 15*x*y
This is true for every value of x and y, then this statement is true.
Answer: 8
Step-by-step explanation: if you count the angels and the sides then you'll get the answer 8..
Answer:




Step-by-step explanation:
We have that:

When we substitute n=1, we get:

When we substitute n=2 we get:

When we substitute n=3, we get:

When we substitute n=n+1, we get:

Now

We expand and simplify to obtain:


Answer:
<h2>a) x = 16 and y = 6</h2><h2>b) P = 864 in</h2>
Step-by-step explanation:
a)
The opposite sides of the rectangle are of equal length.
Therefore we have the system of equations:

Substitute from (*) to (**):

Put the value of y to (*):

b)
Calculate the width and the length:

The perimeter:
