Find each measure
m<,m<2,m<3

option 1.

m1 = 80°   ,    m2 = 35°  ,   m3 = 33°

Step-by-step explanation:

we have 5 triangles

with the rule that the internal angles of a triangle add up to 180 ° we can calculate the missing angles

first triangle:

45° + 31° + x = 180°

x = 180 - 45 -31

x = 104

m2 + 69 = 104

m2 = 104 - 69

m2 = 35°

second triangle:

69° + 31° + m1 = 180°

m1 = 180 - 31 - 69

m1 = 80

third triangle:

47 + 69 + y = 180

y = 180 - 69 - 47

y = 64

m3 + 31 = 64

m3 = 64 - 31

m3 = 33

g(x) is the negative form of f(x)? because whenever its the negative form it reflects its self over the x axis. idk if this is right though.

step-by-step explanation:

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}