Their were six slices of pie left, and then john took 1/5 of them. how much pie is left?
Answer:
The following measurements are:
(Option #4)
(Option #7)
(Option #5)
(Option #2)
Step-by-step explanation:
To begin, we can find the measure of
by applying the inscribed angle theorem: an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
Since the intercepted arc (RS) is 46 degrees, we have:

Next, we can find the measure of arc QT using the same theorem. So,

Notice that the chord RT is actually a diameter. From the theorem about the inscribed angle including a diameter, we know that the intercepted arc will have a measure of
. Since the arc ST is part of the arc RST, and we know RS is
, we can set up and solve this equation:

We can use the same idea to find RQ. We know that RQT is
and QT is
, so:

Answer:
the solution to this inequality is: (-6,∞).
Step-by-step explanation:
<em> " Isolating the variable means rewriting an equivalent equation in which the variable is on one side of the equation and everything else is on the other side of the equation ".</em>
<em>Here we are given an inequality as:</em>
<em> 4x + 4 > –20</em>
<em>so subtracting both side by 4 we have:</em>
4x>-20-4
4x>-24
x>-6 (dividing both side by 4)
Hence we get the solution on the number line as:
all those real number which are strictly greater than -6; In intervals we can write this as:
(-6,∞).