Answer:
b = 15°
Step-by-step explanation:
The base angles (c = ∠QRP) of ΔQPR are such that the sum of angles of the triangle is 180°. Since the triangle isosceles, the base angles are equal:
2c +60 = 180
2c = 120
c = 60 . . . . . . degrees; the base angle of ΔQPR
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Likewise, the base angle (∠SRP) of ΔSPR is ...
a = (180 -90)/2 = 45 . . . . . degrees
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The measure of angle b is the difference between the larger and smaller base angles:
b = c -a = 60° -45°
b = 15°
Answer:
Total interest is $74.55
Total payments $1574. 55
Step-by-step explanation:
The simple interest is calculated as :
S.I = P*T*R
where S.I is the simple interest to be calculated
P = Principal
T = Time period in years
R = Annual interest rate
The the above problem,
Amount borrowed which would be the principal (P) = $400
Time period = 6 months = 1/2 year
Annual interest rate = 6.8% = 6.8/100 = 0.068
Simple Interest = P*T*R
Simple Interest = 400*1/2*0.068 = 200 *0.068
Simple Interest = $13.6
The simple interest amount that Miguel must pay to Julio at the end of six months is $13.6
15. x ≤ -24
x + 19 ≤ -5
x ≤ -24
16. z > -12
3z > -36
z > -12
17. 185 + c > 410; c > 225
18. C.
x - 6 ≥ 1
x ≥ 7
