Aright isosceles triangle has an angle with a measure of 45 degrees. if x represents the measure of third angle of the triangle, what is x. a.30 b.45 c.100 d.135

Solution:

As per the problem we have

A right isosceles triangle has an angle with a measure of 45 degrees.

As the triangle is right isosceles, it mean one of the angle will be 90 degree and the rest of the two angles will be equal.

As we know the sum of the angles of a Triangle is always 180 degrees.

Hence the third angle of the Right isosceles triangle will be 45 degrees.

Hence the correct option is B.

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}