Question

HELPPPPPPPPPP due in 10 min

Answer 1

Answer:

8 is the length of JB

Step-by-step explanation:

Key skills needed: Equations, Congruence

1) We need to find out an equation to make based on the lengths that are given. ΔJMB is congruent to ΔKMB because of Side-Angle-Side:

• JB is congruent to BK
• Angle MBK would be a right angle, since it is supplementary to the right angle JBM. Since both are right angles they are congruent.
• Both triangles have the side BM. Using the reflexive property, BM is congruent to itself, so there you go --> Side-Angle-Side

2) Now since both triangles are congruent, we can make the equation that the length of JM is congruent to the length of MK, using the fact that: If triangles are congruent, then corresponding parts are congruent.

3) This means that 16x -24 = 4x

Subtract 16x from both sides : -24 = -12x

Divide by -12 on both sides and get x = 2

4) Substitute x into the length of JB (16x-24)

16(2)-24 = 32-24 = 8

5) Therefore, the length of JB is 8

Hope you understood and have a nice day!! :D