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2 years ago

11

Sin^2x+2Sin^2x/2-2sinx.sin^2x/2+cotx=0

1 answer:

Schach [20]2 years ago

4 0

{0.221115
{x=2.677945 is the awnser for this one

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MO bisects angle LMN , angle LMO = 6x-22 and angle NMO = 2x +34. Solve for x and find angle LMN.

Mkey [24]

Answer:

$x=14$

$\angle{LMN}=124\textdegree$

Step-by-step explanation:

<u><em>To Determine:</em></u>

Solve for x and find angle LMN.

<u><em>Fetching Information and Solution Steps:</em></u>

Considering the angle $\angle{LMN}$

As MO bisects the angle $\angle{LMN}$ into two equal angle parts. These equal angles are:

$\angle{LMO}=6x-22$

$\angle{NMO}=2x+34$

As these angles are equal. i.e.

$\angle{LMO}=\angle{NMO}$

$6x-22=2x+34$

$\mathrm{Add\:}22\mathrm{\:to\:both\:sides}$

$6x-22+22=2x+34+22$

$6x=2x+56$

$\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}$

$6x-2x=2x+56-2x$

$4x=56$

$\mathrm{Divide\:both\:sides\:by\:}4$

$\frac{4x}{4}=\frac{56}{4}$

$\mathrm{Simplify}$

$x=14$

Hence, $x=14$

As $\angle{LMN}$ was cut into two equal parts $\angle{LMO}$ and $\angle{NMO}$

So,

$\angle{LMN}$ = $\angle{LMO} + \angle{NMO}$

= $6x-22+2x+34$

= $8x + 12$

= $8(14) + 12$ ∵ $x=14$

= $124\textdegree$

Therefore, $\angle{LMN}=124\textdegree$

Keywords: angle bisector, congruent angles

Learn more about angle bisector and congruent angles from brainly.com/question/711370

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Nadusha1986 [10]

See attached picture for solution:

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3 years ago

What is the solution for 2t <5

Luba_88 [7]

Divide 2 from both sides
t < 5/2
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3 years ago

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The temperature went from -12°F to 18°F. Which of the following expressions could be used to find how much the temperature chang

jeyben [28]

Answer:

4. 18-(-12)

Step-by-step explanation:

so i basically took 12 and added that to 18 [and got 30] to find out how many degrees it went up and then i solved each equation till i got 30. I hope this helped and that you could understand the way i did it.

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2 years ago

Which value of x makes the equation 1.25(6x - 20) = 50 true?

bixtya [17]

D. X = 10

6x-20= 40

6x=40+20

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X=10

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2 years ago