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artcher [175]
3 years ago
10

If LM bisects Angle JLK find LJ

Mathematics
1 answer:
leonid [27]3 years ago
8 0

Answer:

14 units

Step-by-step explanation:

Given: LM bisects \angle JLK

To find: LJ

Solution:

According to angle bisector theorem,

an angle bisector of a triangle divides the interior angle's opposite side into two segments that are proportional to the other two sides of the triangle.

In \Delta JKL, LM bisects \angle JLK

Using angle bisector theorem,

\frac{LK}{LJ}=\frac{KM}{JM}\\\frac{LK}{LJ}=\frac{KM}{JK-MK}\\\frac{8}{x+3}=\frac{4}{x-4}\\8(x-4)=4(x+3)\\8x-32=4x+12\\8x-4x=12+32\\4x=44\\x=\frac{44}{4}=11

So,

LJ=x+3=11+3=14\,\,units

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Please help with number 39
mr Goodwill [35]

You want to find values of v (number of visors sold) and c (number of caps sold) that satisfy the equation

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The least common multiple of 3 and 7 is 21, so decreasing the number of caps sold by some multiple of 3 and increasing the number of visors sold by that same multiple of 7 will result in another possible solution.

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GarryVolchara [31]

Answer:

Me no good at math :(

Step-by-step explanation:

I big dumb

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Read 2 more answers
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