Joey completed 1,456 push-ups over a 4-week period. Joey did the same number of push-ups every day. How many push-ups did Joey do each day?

the answer is x equals 50, this is because the two angles are the same measurements because they are vertical angles. in corresponding angles, vertical angles are two angles with one diagonally above another. those two angles will be the same measurements.

110 - 10 = 100

100 / 2 = 50

x   = 50

110 = 2(50) + 10 = 110

110 = 110

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step-by-step explanation:

answer;

the correct answer

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geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}