How do i find x and y?

Solution,

We know ,

AB = AC

<B = <C

< A + <B + <C = 180° ( sum of angle in triangle)

or, 46 + y + y = 180°

or, 46 + 2y = 180°

or, 2y = 180° - 46°

or, 2y = 134

or, y = 134/2

y = 67°

The value of y is 67°

Now, In ∆ ABD

<BAD + <B + < ADB = 180°

or, 23 + 67 + X = 180°

or, 90 + X = 180

or, X = 180 - 90

X = 90°

The value of X is 90°

Hope this helps ...

Good luck on your assignment...

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}

1. minimum

2. 6400

3. eight

hope this !