Question

If HK = JK, HI = 2s, and IJ = 5 + 20, what is the value of s?
A - Н
B - K
C - J

Answer 1

To solve for s, set the equal segments 2s and 5 + 20 (which simplifies to 25) equal to each other, then divide by 2 to find that s = 12.5.

Step-by-step explanation:

The question pertains to solving for a variable, s, given geometric relationships and a numeric expression. Since HK = JK, and we know that HI and IJ are parts of these congruent segments, their corresponding segments must be equal. Therefore, HI, which is given as 2s, must be equal to IJ, given as 5 + 20. To solve for s, set up the equation 2s = 5 + 20 and solve for s.

Here's the step-by-step solution:

1. Combine the numbers on the right side of the equation: 5 + 20 = 25.
2. Write the equation with this simplified sum: 2s = 25.
3. Divide both sides of the equation by 2 to solve for s: s = 25 / 2.
4. Calculate the final value of s: s = 12.5.