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3 years ago

HELPPPPPPPPPP due in 10 min

Mathematics

1 answer:

nlexa [21]3 years ago

4 0

Answer:

8 is the length of JB

Step-by-step explanation:

<u>Key skills needed: Equations, Congruence</u>

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

<em>Hope you understood and have a nice day!! :D</em>

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