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).
4 consecutive integers...
x, x + 1, x + 2, x + 3
x + x + 1 + x + 2 + x + 3 = 106
4x + 6 = 106
4x = 106 - 6
4x = 100
x = 100/4
x = 25
x + 1 = 25 + 1 = 26
x + 2 = 25 + 2 = 27
x + 3 = 25 + 3 = 28
ur 4 integers are : 25,26,27,28
Answer:
11.34x + 9.45y = 141.75
y = (141.75 - 11.34x)/9.45
y = -1.2x + 15
Draw a straight line only in the first quadrant connecting these points:
(0,15)
(12.5,0)
Answer:
$1,229.75
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, change 3.25% into a decimal:
3.25% -> 
-> 0.0325
Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:
Lastly, subtract A from P to get the interest earned:
<span>The following choices may have a negative correlation: - speed of a car and minimum stopping distance - average running speed and total race time - outside temperature and amount of a heating bill
<span>Theses factors may yield negative results depending on the variables that will be present in a controlled experiment.</span></span>
