Answer:
m∠BPD = 120
mBC + mAD = 120°
Step-by-step explanation:
according to intersecting chord theorem: The measure of the angle formed by two chords that intersect inside the circle is 
the sum of the chords' intercepted arcs.
m∠BPD = (M∠BD + M∠CA)
= (70 + 170)
= (240)
m∠BPD = 120
We know that a circle has a total of 360° around the center of circle. To find the measure of the remaining measure of angle of arcs, subtract them from the whole that is 360°
mBC + mAD = 360 - ( 70 + 170 )
= 360 - 240
mBC + mAD = 120°
642+10= 652//////////////
Answer: 0.35%
Step-by-step explanation:
Given the following :
Advertised interest rate = nominal rate = 1.5%
Inflation rate = 1.15%
The real rate of return is calculated by:
[(1 + nominal rate) / ( 1 + inflation rate)] - 1
[(1 + (1.5/100)) / (1 + (1.15/100))] - 1
[(1 + 0.015) / ( 1 + 0.0115)] - 1
[ 1.015 / 1.0115] - 1
1.0034602 - 1 = 0.0034602
Real rate of return = (0.0034602 * 100)%
Real rate of return = 0.346%
Answer:
60 degrees
Step-by-step explanation:
As we know that a circle is 360 degrees, and as line AB bisects the circle, then the resulting "semi-circle" is 180 degrees. As we know that angle AC is 120 degrees, it's simple subtraction, to find that 180-120 is 60. Therefore, the value of <em>x</em> must be 60 degrees.
Hope this explanation helped!
Answer:
Step-by-step explanation:
What is the length of the apothem, rounded to the nearest inch? recall that in a regular hexagon, the length of the radius is equal to the length of each side of the hexagon. 4 in. 5 in. 9 in. 11 in.
