Given that quadrilateral QRST is a square.
Each angle of a square is of 90 degrees.
Angle <RQT is also an angle of 90 degrees.
We also given angle RQT = 3x - 6.
So, we can setup an equation as 3x-6 =90.
Now, we need to solve the equation for x.
6 is being subtracted from left side.
We always apply reverse operation. Reverse operation of subtraction is addition.
So, adding 6 on both sides of the equation, we get
3x-6+6 =90+6.
3x = 96.
3 is being multipied with x, in order to remove that 3, we need to apply reverse operation of multiplication.
So, dividing both sides by 3.
x=32 (final answer).
Area of parallelogram = base x height
220.44 = 16.7 x height
height = 220.44 ÷ 16.7
height = 13.2 units
Answer: 13.2 units
For problem 2:
The answer would be B) Car A travels more miles per gallon of fuel than Car B.
This is because Car B is shown on the graph to travel the same number of miles as Car A using 16 gallons of fuel, while Car A uses only 4 gallons. Thus, Car A travels further with less fuel.
For problem 3:
Let's write out the equation and try to solve.
5x + 1 = 3x + 7
First, subtract 3x from both sides.
5x - 3x + 1 = 3x - 3x + 7
2x + 1 = 7
Now, subtract one from both sides.
2x + 1 - 1 = 7 - 1
2x = 6
Finally, divide both sides by 2.
2x/2 = 6/2
x = 3
You should only get B) One solution
Hope that helped!
