Answer:
a) x = 128 degrees
b) Angle APD is the arc angle, which is equal to the central angle x subtended by the arc. Therefore angle APD = 128 degrees (and not 116 degrees)
Step-by-step explanation:
Given:
attached diagram
ABC is a straight line
Solution:
a) Find x
ABC is a straight line
angle ABD = supplement of CBD = 180-CBD = 180-116 = 64 degrees.
x is the central angle of the arc APD
so angle ABD is the inscribed angle which equals half of the arc angle =>
angle ABD = x/2 = 64 degrees
Solve for x
x/2 = 64
x = 2*64
x = 128 degrees
b.
Angle APD is the arc angle, which is equal to the central angle x subtended by the arc. Therefore angle APD = 128 degrees (and not 116 degrees)
Any unknown number in an equation you represent with a variable
The amount of money that John would have in his account when he is ready to retire is $6,351,400.21.
<h3>How much would be in the retirement account?</h3>
The formula that can be used to determine the future value of the annuity is
Future value = Daily deposit x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
- r = 3.5 / 365 = 0.0096%
- n = (65 - 48) x 365 = 6205
Annuity factor = [(1.000096^6205) - 1] / 0.000096 = $8468.53
Future value = 750 x $8468.53 = $6,351,400.21
To learn more about annuities, please check: brainly.com/question/24108530
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Answer:
Priya used cm to measure the desk while Noah used inch to measure the desk that is why they found different measurement for same desk.
Answer:
200
Step-by-step explanation:
if x is the original number:
