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= (120 - 20)/2

= 50 degrees

${\left({t}^{{2}}-{4}{t}+{7}\right)}\cdot{\left({t}+{2}\right)}\cdot{\left({t}-{3}\right)}$

You don't have to guess if you know this:

"When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs." 

Here are the powers of i:

i^0 = 1

i^1 = i

i^2 = -1

i^3 = -i

i^x + i^y is a real number if: 

- x is divisible by 4 and y is 2 more than a multiple of 4

-x is 1 more than a multiple of 4 and y is 3 more than a multiple of 4

Because it is a hexagon, we know there are 540 degrees total. so 540-135-112-88-90=y, simplifying to $y=\boxed{115}$

the sum of the angles in a pentagon is 540, so 540-90-112-88-135=115

Right, so this is a pentagon. The sum of the internal angles in a pentagon is 540°. 

135+112+y+88+90=540

Solve for y.

I think you can do the rest yourself.

sorry, the latex seemed to have failed. this is the question:

Compute the number of ordered pairs of integers (x,y) with \(1\le x such that  \(i^x+i^y\)  is a real number.

Thanks, I really needed that today.

If he invested 4.5 times more in stocks as he did in bonds, that means that the total amount of money invested is divisible by 5.5, and the ratio of stocks to bonds is 4.5:1, so the amount of money invested in stocks is 2/11 of the total amount, so we divide by 11 and multiply by 2 which is 15000x2=$\boxed{30000}$

aww, thanks. 

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a can be either 3 or 4, and b can be 4 or 3.

ΔABD is an isosceles triangle.

Angle ABD = 100 degrees, and angles ABD and BAD are congruent.

Angle ABC = 1/2(180 - 100) = 40 degrees

This is an example of an inner transversal.

8x + 15 = 7x + 17

x = 2

The two angles are on a straight line:

(8x + 15) + y = 180

31 + y = 180

y = 149

Because we know that the sum of all 3 angles of a triangle is 180, and angle of a striaght line is 180, we know that the missing angle that is not h is 180-148=32, and because the sum of the 3 angles inside a triangle is 180, we know that 32+56+h=180, and simplifying, we have $h=92^\circ$

To find the other angle, we can see that 148 is supplementary to 32. 

Since the total angle in a triangle is 180, we can find h:
h = 180 - 32 - 56 = 92^o

Luv ur cat face =uwu=

You're welcome. :))

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THANKS U GUYSSSSSS :3

if. you know everything tell explain to me Ramanjuns Summation Formula

x is the median since it's the middle number and since it's the median, it's also the mean. 

5x will be the sum of all the numbers since it's the mean. 

5x = 20 + x+ y

4x = 20 + y

So, you can plug some numbers in and try them. But, x and y must remain in order so x must be greater or equal to 6, and also less than or equal to y. 

x = 7 

y = 8. 

4(7) = 20 + 8

I hope this helped. :))

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Thanks, you too!

if the mean and the median are the same, that means that the middle number and 20+x+y/5 are the same, and because the median has to be a whole number, then 20+x+y/5 has to be a whole number as well, so x+y is a multiple of 5. (from here I guessed because there are limited answers) I got 7as x and 8 as y.

4 6 7 8 10

By pythagoras' theorem:
Height = √(9² - 6²)

           = √45

           ≈ 6.7