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Scorpion4ik [409]
3 years ago
5

-5x-12>6x-4 Solve the inequality and give the answer in interval notation.

Mathematics
1 answer:
lora16 [44]3 years ago
7 0

-5x-12>6x-4

To Solve the inequality we need to get x alone

-5x-12>6x-4

first we remove -12, for that we add 12 on both sides

-5x-12+12>6x-4+12

-5x > 6x +8

Now subtract 6x from both sides

-5x -6x> 6x-6x +8

-11x > 8

Divide by -11. when we divide by -11 we flip the inequality . so > becomes <

x < -\frac{8}{11}

We need to give the answer in interval notation.

x is less than -8/11 so x value starts from -8/1  and goes to -infinity(left)

So interval notation is (-∞, -\frac{8}{11})

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Which statement correctly names the congruent triangles and justifies the reason for congruence?
Marat540 [252]

Answer:

  C. Triangle BAC is congruent to triangle FDE by AAS

Step-by-step explanation:

BAC names the vertices in the order longest-side, shortest-side. That same order is FDE in the other triangle, eliminating choiced B and D. The triangles are not right triangles, eliminating choice A.

The only viable answer choice is C.

No specific sides are shown as being congruent, but two angles are, so we could claim congruence by ASA or AAS. Answer choice C uses the latter.

8 0
2 years ago
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(b) 5.2m + 5 = 2.9m – 3 – 4.1m
ohaa [14]

Answer:

m =-1.25

Step-by-step explanation:

5.2m + 5 = 2.9m – 3 – 4.1m

Combine like terms

5.2m + 5 = -1.2m – 3

Add 1.2m to each side

5.2m +1.2m +5 = -1.2m +1.2m -3

6.4m +5 = -3

Subtract 5 from each side

6.4m +5-5 = -3-5

6.4m = -8

Divide each side

6.4m/6.4 = -8/6.4

m =-1.25

7 0
3 years ago
What is the area of this triangle? base = 5 mm Height = 6mm
hichkok12 [17]
Area of a triangle can be found using the equation base x height / 2 

(5)(6)/2 = 30/2 = 15

The area of the triangle is 15mm
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3 years ago
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I REALLY NEED HELP WITH MY ALEGBRA HOMEWORK!!!!!!!!
mamaluj [8]

Answer:

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Step-by-step explanation:

5 0
3 years ago
What is the slope of a line that is perpendicular to the line whose equation is 3x+2y=6 3 x + 2 y = 6 ?
Tanzania [10]

Answer:

The slope of the line perpendicular to the given line is 2/3

Step-by-step explanation:

step 1

Find the slope of the given line

we have

3x+2y=6

isolate the variable y

2y=-3x+6

y=-(3/2)x+3

The slope of the given line is m=-(3/2)

step 2

Find the slope of the line perpendicular to the given line

Remember that

If two lines are perpendicular, their slopes are opposite reciprocal of each other ( the product of their slopes is equal to -1)

so

m1*m2=-1

we have

m1=-3/2

so

m2=2/3

therefore

The slope of the line perpendicular to the given line is 2/3

6 0
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