Please help ASAP! Two
angles, ZJ and ZK are supplementary. The measure of ZJ is (2x+5)°. The
measure of ZK is (3x-10)°. What is the measure of ZK?

ZK = 95 degrees

Step-by-step explanation:

Supplementary angles are when the sum of 2 angles equals 180 degrees. Since ZJ and ZK are supplementary, we can add both of them to equal 180 degrees.

ZJ + ZK = 180

Our first objective: find the value of x

(2x + 5) + (3x - 10) = 180

2x + 5 + 3x - 10 = 180

Combine like terms

5x - 5 = 180

Add 5 to both sides to isolate variable x

5x = 175

Divide both sides by 5 to isolate variable x

x = 35

Plug in x value for ZK expression

3(35) - 10

Use PEMDAS

105 - 10

95

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.