Find the value of x, then find each missing angle.

X = 33

Angle K = 80

Angle J = 61

Step-by-step explanation:

All angles add up to 180

So, we can set it up like this:

39 + (-19 + 3x) + (x + 28) = 180

Now, we can solve:

48 + 4x = 180

4x = 132

x = 33

Therefore, x is equal to 33.

Check:

39 + -19 + 3(33) + 33 + 28 = 180

39 - 19 + 99 + 33 + 28 = 180

180 = 180

I hope this helps!!

- Kay :)

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for