Answer:
x = 76°
Step-by-step explanation:
We can solve this by using the angles of intersecting chords theorem. This tells us that when two chords intersect inside a circle, the angle formed is half of the sum of the intercepted arcs of the angle.
This implies that the angle 94° should be half of the sum of Arc measuring x° and the arc measuring 112°. So we can write the equation as:
<em />
<em>We can simplify and solve for x:</em>
Hence, x = 76°
<span>a. is the answer<span>
Card I’s balance increased by $53.16 more than Card H’s balance.</span></span>
Answer:
m(arc)ED = 39 degrees
Step-by-step explanation:
The measure of an arc of a circle is equal to the measure of the central angle that intercepts it.
BE is a diameter. That means that m<BPE = 180.
AC is a diameter. That means that m<APC = 180.
Let's start with angle BPE to find w:
m<BPE = m<BPA + m<EPA = 180
4w + 8 + 4w + 4 = 180
8w + 12 = 180
8w = 168
w = 21
Now we deal with angle APC:
m<APC = m<APE + m<EPD + m<DPC = 180
4w + 4 + m<EPD + 2w + 11 = 180
6w + 15 + m<EPD = 180
m<EPD + 6w = 165 Equation 1
Now we use w = 21 in Equation 1.
m<EPD + 6w = 165
m<EPD + 6(21) = 165
m<EPD + 126 = 165
m<EPD = 39
Since the arc measure equals the measure of the central angle that intersects it, m(arc)ED = 39 degrees
Answer: m(arc)ED = 39 degrees
We will proceed to resolve each case to determine the solution.
we know that
m of pipe weighs kg
so
by proportion
<u>Find the weighs of each case</u>
<u>case A)</u> m of pipe weighs kg
therefore
The statement case A) is False
<u>case B)</u> m of pipe weighs kg
therefore
The statement case B) is False
<u>case C)</u> m of pipe weighs kg
therefore
The statement case C) is True
<u>case D)</u> m of pipe weighs kg
therefore
The statement case D) is False
therefore
<u>the answer is</u>
m of pipe weighs kg
Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.
Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.