Answer:
m∠RPQ = 8°
Step-by-step explanation:
m∠QRS = 4x - 15
m∠RPQ = x + 1
m∠PQR = x - 2
m∠QRS is exterior angle and m∠RPQ and m∠PQr are opposite interior angles to m∠QRS
m∠QRS = m∠RPQ + m∠PQR {Exterior angle property of triangle}
4x - 15 = x +1 + x - 2
4x - 15 = x + x + 1-2 {Combine like terms}
4x - 15 = 2x - 1 {Subtract 2x from both sides}
4x - 2x - 15 = - 1
2x - 15 = - 1 {Add 15 to both sides}
2x = -1 + 15
2x = 14 {Divide both sides by 2}
x = 14/2
x = 7
m∠RPQ = x + 1 = 7 + 1 = 8°
Answer: x = 10
Step-by-step explanation: 7x10 = 70
Perpendicular lines will have negative reciprocal slopes
B. y = -4x+ 5 and y = 1/4x + 4
D. y = x + 4 and y = -x + 4
E. y = -3 and x = -3
Answer
Total amount earned after 16 years = $93649
Explanation:
The principal, P = $50,000
Interest rate, r = 4% = 4/100
r = 0.04
The time, t = 16 years
Number of times intesrest is compounded per year, n = 1
Total amount is calculated below:
Total amount earned after 16 years = $93649
