05.02)In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70
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Given:
Measure of arc FJ = 84°
Measure of arc GH = 76°
To find:
The measure of angle HKJ.
Solution:
Angles inside the circle theorem:
If two chords intersect inside a circle, then the measure of each angle is one half the sum of the measures of the intercepted arc and its vertical arc.
Sum of the adjacent angles in a straight line is 180°.
⇒ m∠GKH + m∠HKJ = 180°
⇒ 80° + m∠HKJ = 180°
Subtract 80° from both sides.
⇒ 80° + m∠HKJ - 80° = 180° - 80°
⇒ m∠HKJ = 100°
The measure of ∠HKJ is 100°.
Answer:
$563 850
Step-by-step explanation:
A. <em>Monthly payment </em>
The formula for the monthly payment (P) on a loan of A dollars that is paid back in equal monthly payments over n months, at an annual interest rate of i % is
<em>Data: </em>
We must express the interest rate on a monthly basis.
i = 5.475 %/yr = 0.456 25 %/mo = 0.004 5625
A = $543 000
n = 360 mo
<em>Calculation: </em>
P = $3074.583
B. <em>Total Payment (T) </em>
T = nP
T = 360 × 3074.583
T = $1 106 850
C. <em>Total Interest (I) </em>
I = T – A
I = 1 106 850 – 543 000
I = $563 850
Andrew's total interest is $563 850.