PLEASE HELP ASAP All the lines in the figure intersect at point P.
What is the measure of ZKPL?

angle KPL = 70 degree

Step-by-step explanation:

A straight line will equal 180 degrees

To find angle IPN, add angles NPM (60) and IPJ (50) and subtract the number from the straight line (180)

60 + 50 + IPN = 180

110 + IPN = 180

IPN = 70

IPN is a congruent angle to KPL

Congruent means they will equal the same

IPN = KPL

70 = 70

We can check our work by adding NPM (60) and KPL (70) and subtracting the sum from the straight line (180). Our answer should be the same as IPJ (50) as MPL is congruent to IPJ

60 + 70 + MPL = 180

130 + MPL = 180

MPL = 50

Correct

if x decreases by 4 then y increases by 10

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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