Consider the figure below. Given: 411
24 213
11 12
Prove: LIL
56
7 8
13 14
15 16
Complete the following chart
Statements
Reasons
1.4 1/2 and 24 & 213
1. Given
2.24 and 26 are supplementary
2. Consecutive Interior Angle
Theorem
3.m24+ m26 = 180
3. Definition of Supplementary
4.m.24 m213
4. Definition of congruent angles
5.m.26 + 213 = 180
5. Substitution Property
6.26 and 213 are
supplementary
7. I th
6. Definition of Supplementary
7
Which of the following is the reason for statement #7 in the table
above?

answer: she must produce at least 9,000 windows in order to make a profit of $48,000

explanation:

48,000 - 12,000 = 36,000

36,000/4 = 9,000

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}

the answer for your question is

step-by-step explanation: