2. In the figure, is an exterior angle to triangle . (a) What is the angle measurement of Angle 3. Explain the angle relationship you used.
(b) What is the angle measurement of Angle 4. Explain the angle relationship you used.
(c) What is angle relationship between angles 3 & 4? What is the angle relationship between angles 1, 2, & 3? What do you notice that is similar between the two? What is different?
(d) Which two angles in the triangle equal angle 4? Use your work from Part C to figure out why this is the case, and explain your conclusion.

Part A)

Part B)

Part C)

Part D)

2. In the figure, is an exterior angle to triangle .

(a) What is the angle measurement of Angle 3. Explain the angle relationship you used.

(b) What is the angle measurement of Angle 4. Explain the angle relationship you used.

(c) What is angle relationship between angles 3 & 4? What is the angle relationship between angles 1, 2, & 3? What do you notice that is similar between the two? What is different?

(d) Which two angles in the triangle equal angle 4? Use your work from Part C to figure out why this is the case, and explain your conclusion.

Part A)

Part B)

Part C)

Part D)

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}

y=x+9

?

step-by-step explanation: