In the figure below, k || o. Find the values of y and z.

y = 112

z = 27

Step-by-step explanation:

Alright,

So we know that a straight line adds up to 180. And looking at the figure, it looks like 68 + y = 180 if you do some visualization.

So, we can already calculate y.

y = 180 - 68

y = 112

Now we find z. z here is represented in an expression. We can see that y and the expression z is in are congruent to each other which means they will equal each other. And since we know that y = 112, we know that the expression z is in is also equal to 112.

So we set up an equation like so:

112 = 3z + 31

And start to simplify:

81 = 3z

Finally we divide:

27 = z

Therefore, z is 27

x = 12

y = 15

step-by-step explanation:

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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