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3 years ago

Ray MO bisects LMN LMO = 6x-20 and NMO =2x+36. solve for x and find LMN

Mathematics

2 answers:

mestny [16]3 years ago

5 0

6x - 20 = 2x + 36
6x - 2x = 36 + 20
4x = 56
x = 56/4
x = 14

m∠LMN = 6x - 20 + 2x + 36 = 8x + 16 = 8 * 14 + 16 = 128°

Snowcat [4.5K]3 years ago

5 0

Answer: The required value of x is 14 and the maesure of angle LMN is 128 degrees.

Step-by-step explanation: As given in the question and shown in the attached figure below, ray MO bisects angle LMN.

Also,

$m\angle LMO=6x-20,\\\\m\angle NMO=2x+36.$

We are to find the value of x and the measure of angle LMN.

Since ray MO bisects angle LMN, so we must have

$m\angle LMO=m\angle NMO\\\\\Rightarrow 6x-20=2x+36\\\\\Rightarrow 6x-2x=36+20\\\\\Rightarrow 4x=56\\\\\Rightarrow x=\dfrac{56}{4}\\\\\Rightarrow x=14.$

And, we get

$m\angle LMN=6x-20+2x+36=8x+16=8\times14+16=112+16=128.$

Thus, the required value of x is 14 and the maesure of angle LMN is 128 degrees.

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More can be learned about the distance between two points at brainly.com/question/18345417

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2 years ago

What is the equation of the circle with center (4, 4) that passes through the point (10, 14)? HELP MEEEEE PLEASE

Gemiola [76]

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Step-by-step explanation:

The general equation of a circle with center $(h,k)$ and radius $r$ is:

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In our example, we know $\left(h,k\right)=\left(4,4\right)$ , as we just have to make sure we need determine $\:r^2$ .

$\left(x-4\right)^2+\left(y-4\right)^2=r^2\:\:$

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$\mathrm{Switch\:sides}$

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3 years ago

Read 2 more answers