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Strike441 [17]
2 years ago
11

Solve the equation Y +3 = -y + 9

Mathematics
2 answers:
statuscvo [17]2 years ago
5 0

Answer:

y=3

Step-by-step explanation:

Regroup terms.

y+3=9-y

Subtract 3 from both sides.

y=9-y-3

Simplify  9-y-3  to  6-y

y=6-y

Add y to both sides.

y+y=6

Simplify  y+y  to  2y.

2y=6

Divide both sides by 2.

y= 6/2

then the answer is y=3

sukhopar [10]2 years ago
4 0

Answer:

The answer is 3.

Hope it helps..

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Three schools are located at points A, B, and C. The school district wants to locate its new stadium at a location that will be
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I have attached the image showing the location of the three schools.

Answer:

Should be built at the centroid of the triangle formed by points A, B and C.

Step-by-step explanation:

From the attached image, we see that if we join the 3 points by a straight line, they will form a triangle.

Now, to get a location that will be roughly the same distance from all 3 schools, it means a point that is equal to each of 3 vertex of the triangle.

The point that is equal to each vertex of a triangle is known as "Centroid".

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3 years ago
△klm, lm=20 sqrt 3 m∠k=105°, m∠m=30° find: kl and km
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Answer:

KL =  \frac{20\sqrt{6}}{1+\sqrt{3}} = 17.93

MK =  \frac{40\sqrt{3}}{1+\sqrt{3}} = 25.36


Explanation:

According to the Law of Sines:

\frac{a}{sinA}=\frac{b}{sinB}= \frac{c}{sinC}

where:

A, B, and C are angles

a, b, and c are the sides opposite to the angles


First of all, let's find m∠L: the sum of the angles of a triangle is 180°, therefore

m∠K + m∠L + m∠M = 180°

m∠L = 180° - m∠K - m∠M

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Now, we can apply the Law of Sines to our case (see picture attached):

\frac{LM}{sinK}=\frac{MK}{sinL}=\frac{KL}{sinM}


Let's solve one side at the time:

\frac{LM}{sinK}=\frac{MK}{sinL}

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MK = \frac{20\sqrt{3} }{sin(105)} \cdot sin(45)

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\frac{LM}{sinK}=\frac{KL}{sinM}

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KL = \frac{20\sqrt{3} }{sin(105)} \cdot sin(30)

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