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Nikolay [14]
3 years ago
7

Plz help me out with this

Mathematics
2 answers:
bagirrra123 [75]3 years ago
8 0

Answer:

KJ = 60

Step-by-step explanation:

In order to find the length of KJ we must find the value of x

Perpendicular bisectors split lines into two EQUAL parts.

If GJ is bisected then the two parts that make it up are equal to each other.

In other words GK = KJ

If GK = 2x + 10 and KJ = 3x - 15 then

2x + 10 = 3x -15

Solve for x

2x + 10 = 3x -15

Subtract 2x from both sides

10 = x - 15

Add 15 to both sides

x = 25

Now to find KJ we simply plug in the value of x into KJ's given expression

Expression given: 3x - 15

x = 25

KJ = 3(25) - 15

Multiply 3 and 25

KJ = 75 - 15

Subtract

KJ = 60

nadya68 [22]3 years ago
6 0

Given,

  • HK is the perpendicular bisector of GJ. So, <u>GK = KJ</u>.
  • GK = 2x + 10
  • KJ = 3x - 15

_______________

Find KJ .

_______________

First find the value of x

\sf \: GK \:  = KJ \\\sf 2x + 10 = 3x - 15 \\\sf 2x - 3x =  - 15 - 10 \\ \sf - x =  - 25 \\  \sf \: -  >   \boxed{\bf \: x = 25}

Now, find the value of KJ.

\sf3x - 15 \\  \sf= 3(25) - 15 \\  \sf=7 5 - 15 \\     = \boxed{\bf \: 60}

-> The value of KJ is <u>6</u><u>0</u><u>.</u>

_______________

Hope it helps.

RainbowSalt2222

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