<span>b. 2πn this sounds like the right awnser to me
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Answer:
(a) 90°
(b) 8.75
(c) 63.75°
(d) 26.25°
Step-by-step explanation:
(a) A radius to a point of tangency is always perpendicular to the tangent line there. Q is the point of tangency of line PQ, so the segment RQ from the center of the circle, R, to that point makes a 90° angle with PQ. Angle RQP is 90°.
(b) The sum of the acute angles of a right triangle is 90°, so ...
(5x +20)° + (3x)° = 90° . . . . . the sum of the acute angles is 90°
8x + 20 = 90 . . . . . . . . . . . . simplify, divide by °
8x = 70 . . . . . . . . . . . . . . . . . subtract 20
70/8 = x = 8.75 . . . . . . . . . . . divide by the coefficient of x
(c) ∠QRP = (5x+20)° = (5·8.75 +20)° = 63.75° . . . . . use the value of x in the expression for the angle measure
(d) ∠RPQ = (3x)° = (3·8.75)° = 26.25° . . . . . use the value of x in the expression for the angle measure
Answer:
b. The greater the number of independent variables measured, the more difficult it is to interpret higher-order interactions.
The equation 25x+1295=212000 models the situation. The bill had charges of 8428.2 minutes
Step-by-step explanation:
Given,
Monthly rate = $1295
Per minute charges = $25
Bill for x minutes = $212000
As x are the total minutes.
Per minute charges * Total minutes + Monthly rate = Bill for x minutes
25x+1295=212000
Dividing both sides by 25
The equation 25x+1295=212000 models the situation. The bill had charges of 8428.2 minutes
Keywords: division, subtraction
Learn more about division at:
#LearnwithBrainly
complete question:
The sum of the digits of a two-digit numeral is 8. If the digits are reversed, the new number is 18 greater than the original number. How do you find the original numeral?
Answer:
The original number is 10a + b = 10 × 3 + 5 = 35
Step-by-step explanation:
Let
the number = ab
a occupies the tens place while b occupies the unit place. Therefore,
10a + b
The sum of the digits of two-digits numeral
a + b = 8..........(i)
If the digits are reversed. The reverse digit will be 10b + a. The new number is 18 greater than the original number.
Therefore,
10b + a = 18 + 10a + b
10b - b + a - 10a = 18
9b - 9a = 18
divide both sides by 9
b - a = 2...............(ii)
a + b = 8..........(i)
b - a = 2...............(ii)
b = 2 + a from equation (ii)
Insert the value of b in equation (i)
a + (2 + a) = 8
2a + 2 = 8
2a = 6
a = 6/2
a = 3
Insert the value of a in equation(ii)
b - 3 = 2
b = 2 + 3
b = 5
The original number is 10a + b = 10 × 3 + 5 = 35