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Ulleksa [173]
3 years ago
14

What is the solution to the system of equations below?

Mathematics
1 answer:
charle [14.2K]3 years ago
6 0

Answer:

x = 5

y = -4/3

Step-by-step explanation:

2x + 3y = 6

x - 3y = 9

Substitution Method:

x = 3y + 9

2(3y+9) + 3y = 6

6y + 18 + 3y = 6

9y = -12

y = -12/9 or -4/3

x - 3(-4/3) = 9

x + 4 = 9

x = 5

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Assume that all triangles have interior angles less than 90°.A surveyor sights on a survey marker that is 132.3m distant. She ne
Vadim26 [7]

Answer:

  85.9 m

Step-by-step explanation:

The law of sines can help figure this.

The remaining angle in the triangle is ...

  180° -75° -68° = 37°

This is the angle opposite the leg from the surveyor to the second marker. Referencing the attachment, we have ...

  b/sin(B) = c/sin(C)

  b = sin(B)·c/sin(C) = 132.3·sin(37°)/sin(68°) ≈ 85.873 . . . meters

The surveyor is about 85.9 meters from the second marker.

4 0
3 years ago
Jose wants to rewrite 24+9 using the greatest common factor and the distributive property. Which expression should he write?
Reil [10]
First get the factors of 24: 2*2*2*3Then the factors of 9: 3*3 Comparing the factors, the GCF is 3 Then you can rewrite the expression: 3*8 + 3*3 At this point, I'm not sure whether what you mean is really distributive property or not since this case is more of a factoring. 3*(8+3)
4 0
3 years ago
What is the greatest common factor of 22 and 2?
Snowcat [4.5K]

Answer:

2

Step-by-step explanation:

2 is 2.

22 is 2•11.

The GCF is 2.

6 0
3 years ago
H+6.9+11.4 <br> a<br> 4.0<br> b<br> 4.5<br> c<br> 5.0<br> d<br> 5.5
antiseptic1488 [7]

Could you please express this question better, I don't seem to understand the objective.

4 0
3 years ago
Pls help oooooooooooo
Digiron [165]

Answer:

110

Step-by-step explanation:

Suppose lines EH and BD are parallel:

Angle <GFE and angle <ABC are supplementary so their sum is equal to 180

2x + 10 + x  + 20 = 180 add like terms

3x + 30 = 180 subtract 30 from both sides

3x = 150 divide both sides by 3

x = 50

We are asked the value of <ACD

<ABD and <ACD are also supplementary so we can find the value od <ACD:

x + 20 + <ACD = 180 we know x = 50 so we can replace x with that

50 + 20 + <ACD = 180

70 + <ACD = 180 subtract 79 from both sides

<ACD = 110

3 0
2 years ago
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