Answer:
The angle Rick must kick the ball to score is an angle between the lines BX and BZY which is less than or equal to 32°
Step-by-step explanation:
The given measures of the of the angle formed by the tangent to the given circle at X and the secant passing through the circle at Z and Y are;


The direction Rick must kick the ball to score is therefore, between the lines BX and BXY
The angle between the lines BX and BXY = ∠XBZ = ∠XBY
The goal is an angle between 
Let 'θ' represent the angle Rick must kick the ball to score
Therefore the angle Rick must kick the ball to score is an angle less than or equal to ∠XBZ = ∠XBY
By the Angle Outside the Circle Theorem, we have;
The angle formed outside the circle = (1/2) × The difference of the arcs intercepted by the tangent and the secant

We get;
∠XBZ = (1/2) × (122° - 58°) = 32°
The angle Rick must kick the ball to score, θ = ∠XBZ ≤ 32°
Credit card balance each month:
First month: 1020 .00
Second month: 1040.4 0
Third month: 1061,208
Fourth month: 1082.43
Here we have to calculate the interest and add it to capital.
That is, 2% of 1000
First month:
Interest = 1000 (2/100)
Odds1 = 1020
Second month
Capital 1020
Interest = 1020 x 0.02 = 20.4
Odds2 = 1040.4
Third month
Capital = 1040.4
Interest = 1040.4 x 0.02 = 20.808
Odds3 = 1061,208
Fourth month
Capital = 1061,208
Interest = 1061.208 x 0.02 = 21.22
Odds = 1082.43
Therefore the credit card balance each month:
First month: 1020 .00
Second month: 1040.4 0
Third month: 1061,208
Fourth month: 1082.43
Learn more about credit card balance here: brainly.com/question/17604713
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The question is incomplete. Completed question is given below:
A person owes $1000 on a credit card that charges an interest rate of 2% per month. Complete this table showing the credit card balance each month if they do not make any payments. Month total bill in dollars11,00021,02031,040.40
a. $150
b. 150+20x
630
20x
480
x
24
c. 150+20x
750
20x
600
x
30
d. 150+20x
950
20x
800
x
40
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Answer:
The value of x =2 and y= 2, because they are congruent and 2+2=4
Answer: no but some people do
Step-by-step explanation: