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can a system of linear equations be inconsistent and dependent? explain.

Answer:

[tex]m\angle1 =47^o[/tex]

[tex]m\angle2 =119^o[/tex]

[tex]m\angle ABC =97^o[/tex]

[tex]m \angle FED = 62^o[/tex]

Step-by-step explanation:

angle 1 and the angle 133 degrees are supplementary angles, then added should give 180 degrees.

angle1 + 133 = 180   then angle1 = 180-133 = 47 degrees

[tex]m\angle1 = 180^o - 133^o=47^o[/tex]

Angle 2 is of the same measure as the angle marked as 119 degrees since they are what is called "corresponding angles between parallel lines."

Angle ABC plus angle that measures 83 degrees should add to 180 since their sum gives a straight line, then:

ABC + 83 = 180

ABC = 180 - 83 = 97 degrees

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The two angles with algebraic denomination should be equal because they are alternate internal angles, Then this equality can be written as:

8 x - 34 = 5 x + 2

solve for x by subtracting 5 x from both sides:

3 x - 34 = 2

add 34 to both sides:

3 x = 2 + 34

3 x = 36

x = 36/3

x = 12

and now knowing x we can find angle DEF

DEF = 5 x + 2 = 5 (12) + 2 = 60 + 2 = 62 degrees

Answer:

D. 2x, -4y and 8 :)

Step-by-step explanation:

Answer:

en que exactamente necesitas mi ayuda????

Step-by-step explanation:

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Answer: Shonda used 1/4 of her paint on each wall.

Step-by-step explanation:

If she used 3/4 of her paint on 3 walls, then each wall used up 1/4 of her paint.

3/4 divided by 3 = 1/4

Hope this helps!

Answer:

58,683

Step-by-step explanation:

subtract

Answer:

27 yds^3

Step-by-step explanation:

Answer:

27 cubic yards

Step-by-step explanation:

3 x 3 x 3 = 27

Answer:

A. -3

Step-by-step explanation:

edge test

The value of x in the matrix equation comes to be 1.

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object.

The given matrix equation is:

[tex]-2\left[\begin{array}{cc}x&-1&3&5\\\end{array}\right] + \left[\begin{array}{cc}3&8&-1&6\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]

Multiply -2 with each element of the first matrix i.e. first matrix on the left side of the equation followed by the addition of matrices we get:

[tex]\left[\begin{array}{cc}-2x+3&2+8&-6-1&-10+6\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]

[tex]\left[\begin{array}{cc}-2x+3&10&-7&-4\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]

On comparing both matrices

-2x+3 = x

3x=3

x=1

Hence, the value of x in the matrix equation comes to be 1.

To get more about matrices visit:

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This sounds sus to me ┐(￣ヘ￣)┌

[tex]given \: that \ :[/tex]

[tex]x = 8[/tex]

[tex]then \:12 - x \: will \: be \: :[/tex]

[tex]12 - 8[/tex]

[tex] = 4[/tex]

[tex]∴ \: 12 - 8= 4 [/tex]

Answer:

The result of 12-x when x=8, is 4

Step-by-step explanation:

Numerical Evaluation

Evaluate an algebraic expression means substituting the variables present in the expression by their respective numerical values, operate and report the result.

The given expression is

12 - x

Substituting x = 8, we get:

12 - 8 = 4

The result of 12-x when x=8, is 4

Answer:

300

Step-by-step explanation:

4:7

7-4=3

225/3=75

75x4=300

Answer:

Jiao sent out 18,920 beads.

Step-by-step explanation:

All I did was add.

</3 hope this helps.

Answer:

60th term is 1052

Step-by-step explanation:

position to term rule : position number multiplied by 18 then minus 28 (  position number × 18 - 28)

60 × 18 - 28

Answer:

p = -2

Step-by-step explanation:

24 divided by -12

p= -2

Answer:

1.2

2.4

3.6

4.8

5.9

6.4

7.3

8.6

Step-by-step explanation:

Answer:

The answer is "non-real solution: "i-3 and -i-3" and real solution is -2".

Step-by-step explanation:

In the given equation there is some mistype error so, its correct equation can be defined as follows:

Given value:

[tex]\bold{ f(x) = x^3+ 8x^2 +22x +20}[/tex]

use hit and trial method we put x value are -2:

 [tex]f(-2) = (-2)^3+ 8(-2)^2 +22(-2) +20\\\\[/tex]

            [tex]= -8 + 8 \times 4 +22 \times -2 +20\\\\= -8 + 32 -44 +20\\\\= -52 + 52\\\\=0[/tex]

So, the real solution to the equation is "-2".

In the above solution, we calculate the f(x) =-2 is its real solution. so, the calculation for non-real solution:

divide the value [tex]x^3+8x^2+ 22x +20[/tex] by ([tex]x+2[/tex]):

Quotient: [tex]x^2+6x+10[/tex]

Remainder: 0

[tex]\to x^2+6x+10 \\\\compare \ with \ ax^2+bx+c: \\\\a= 1\\b= 6\\c=10\\\\\bold{Formula:}\\\\\to D= b^2-4ac\\\\[/tex]

        [tex]= 6^2- 4 \times 1 \times 10\\\\ = 36- 40\\\\ = -4[/tex]

Formula for calculate non-real solution:

[tex]\bold{\frac{-b\pm \sqrt{D}}{2}}[/tex]

non-real solution: "i-3 and -i-3"

Answer:

i don't get that ether

Step-by-step explanation:

Answer:

30 is saved

Step-by-step explanation:

20 x 3 = 60 - 50 = 10, you get 10 three times because of 9 / 3 = 3 you get 10 x 3 = 30

Step-by-step explanation:

I think 12.5 is the answer

Answer:

Step-by-step explanation:

Answer:

1. The sphere has a radius of 4 cm.

3. The diameter length is twice the length of the radius.

6. The volume of the sphere is StartFraction 256 Over 3 EndFraction pi centimeters cubed.

Answer:

Point slope-  y + 8 = − 1 2 ⋅ ( x − 4 )

Slope Intercept Form- y = − 1/ 2 x − 6

Slope- m=-1/2

Step-by-step explanation:

Point slope- y-y₁=m(x-x₁)

Slope Intercept form- y=mx+b\

Slope- rise/run= y2-y1/x2-x1

Answer:

Can you redo it so I can answer it's kind of confusing

Answer:

81 - 27(n-1)

Step-by-step explanation:

Answer:

48/60=24/30=15/12=4/5 or 4:5

So your final answer is 4/5 or 4:5

Step-by-step explanation:

Answer:

415 ft/s

Step-by-step explanation:

I've attached a diagram showing the triangle formed between the plane, the person and the radio tower.

From the attached diagram, x represents the position between the person and the position on the ground directly below the airplane while s represents the distance between the person and the plane.

The constant elevation remains 4090 ft while the value of x and s varies with time.

Thus, x varies with respect to time as dx/dt while s varies with respect to time as ds/dt.

Now, we are told that the plane is flying at the rate of 700 ft/s. This means that; dx/dt = 700 ft/s

Now we want to find the rate at which the distance between the person and the plane is increasing when the plane passes over the radio tower.

This means that we want to find ds/dt when x = 3010 ft

From pythagoras theorem if x = 3010 ft and the Elevation remains 4090 ft, we can find s as;

s = √(4090² + 3010²)

s = √25788200

s ≈ 5078.21 ft

Since we want to find ds/dt at x = 3010 ft, from the diagram, we can say from pythagoras theorem that;

x² + 4090² = s²

Differentiating x and s with respect to t, we have;

2x(dx/dt) = 2s(ds/dt)

2 will cancel out to give;

x(dx/dt) = s(ds/dt)

ds/dt = (x/s)(dx/dt)

Plugging in 700 for dx/dt, 3010 for x and 5078.21 for s, we have;

ds/dt = (3010/5078.21) × 700

ds/dt ≈ 415 ft/s

Answer:

6

Step-by-step explanation:

Let that number be x.

[tex]2x = 9 + 3[/tex]

[tex]2x = 12[/tex]

[tex]x = 6[/tex]

Answer:

3/35

Step-by-step explanation:

3*1=3

5*7=35

3/35

Answer:

Step-by-step explanation:

hi! the log properties say that when logs are multiplied as log(xy), they can be expanded and added like log(x)+log(y). when logs are divided like log(x/y), they can be expanded as log(x)-log(y). when the log has an exponent like log(x^y), the exponent can be added to the front of the log like ylog(x). we can use these properties for this problem.

ln(x^3)+ln(y^2)-ln((x+1)^4)

ln(x^3*y^2)-ln((x+1)^4)

[tex]ln(\frac{(x^3y^2)}{((x+1)^4)})[/tex]

Answer: There is 1,000 milligrams in 1 gram.

Answer:

1000mg

Step-by-step explanation:

to be honest that's the obvious answer

and in advance

1kg=1000000mg

1kg=1000g

1g=1000g

Answer:

the answer is 1/8

thank you

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