Answer:
15
Step-by-step explanation:
just took the test. x=5 and the answer to the equation is 15
9x-22=23+4x
Now you subtract 4x from both sides to get the variable on one side..
5x-22=23
Now solve as you would solve a 2 step equation.
5x=45
Divide both sides by 5 to get the variable by itself.
x=9
Answer:
21 kilometers
Step-by-step explanation:
Let the height be
. Then, the length of the base is
. The formula for the area is of the triangle is given by base*height/2. Therefore, the area of the triangle is equal to
, which is in turn equal to 441. Since
must be positive, then
, meaning that the height is
kilometers.
For a better understanding of the solution provided here, please find the diagram attached.
In the diagram, ABCD is the room.
AC is the diagonal whose length is 18.79 inches.
The length of wall AB is 17 inches.
From the given information, we have to determine the length of the BC, which is depicted a
, because for the room to be a square, the length of the wall AB must be equal to the length of the wall BC.
In order to determine the length of the wall BC, or
, we will have to employ the Pythagoras' Theorem here. Thus:


Thus,
inches
and hence, the given room is not a square.