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3 years ago

40-s=23 what’s the value of S

Mathematics

2 answers:

EleoNora [17]3 years ago

5 0

Answer:

Step-by-step explanation:

Use the equation:

40 - s = 23

Then, subtract 40 on each side of the equation. Your objective is to try to isolate the variable, s. You should be left with this:

- s = -17

Then, divide each side of the equation by -1. You should be left with this, which is your answer:

s = 17

GREYUIT [131]3 years ago

4 0

Answer:

Step-by-step explanation:

Subtract 40 from s

-s=-17

Divide the negative sign

Divide by -1

-17 divided by -1 =17

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We have to find the perimeter of the triangle KLM.

We have been given that the length of the side LM=12, $m\angleK=60^\circ$ , and $m\angle M= 45^\circ$

Refer the attached image.

In a triangle sum of three angles should be $180^\circ$ .

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$m\angle K+m\angle L+m\angle M=180^\circ$

Plugging the values of angle K and angle M, we get:

$60^\circ+m\angle L+45^\circ=180^\circ$

So,

$m\angle L=180^\circ-105^\circ=75^\circ$

Now, that we have the measure of angle L, we will apply sine rule to find the length of the sides KL and KM.

Using the sine law for the triangle KLM, we get:

$\frac{sin K}{LM}=\frac{sin L}{KM}=\frac{sin M}{KL}$

Refer the image. Plugging the value of the sides of the triangle KLM and the angles of the triangle KLM, we get:

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Now using,

$\frac {sin 60^\circ}{12}=\frac{sin 75^\circ}{y}$

We get the value of 'y'

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So the length of the side KM is 13.38 units.

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We get the value of 'x'

$x=\frac{sin 45^\circ}{sin 60^\circ} \times 12=\frac{0.707}{0.866} \times 12=9.79$

So the length of the side KL is 9.79 units.

Now, to find the perimeter of the triangle KLM we need to sum up the length of the sides of the triangle KLM.

The perimeter of the triangle KLM $= KL+ LM + KM = 9.79 + 12 + 13.38 = 35.17$ units

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