Solve for n.
2/3 (1 + n ) = -1/2n

Answer:

100°

Step-by-step explanation:

From the image attached, line BC and line CD are tangents to circle A. Also, AB and AD are the radius of the circle. The tangent theorem states that the angle between a tangent and the radius is 90°. Therefore:

∠ABC and ∠ADC = 90°.

Given triangle ABC:

∠ABC + ∠BCA + ∠CAB = 180°

∠CAB = 180 - ∠ABC - ∠BCA = 180 - 90 - 40 = 50

∠CAB = 50°

From the two tangent theorem, tangents that meet at the same point have the same length. This means BC = CD, ∠ACD = ∠BCA, ∠CAB = ∠CAD.

arc BD = ∠CAB + ∠CAD = 50 + 50

arc BD = 100°

Answer:

D.

Step-by-step explanation:

Answer:

A

x= 3/x

Step-by-step explanation:

5kx + 6 = 7kx

collect like term

5kx - 7kx = -6

-2kx = -6

minus cancel out

=> 2kx = 6

divide bothside by 2k

=> x = 6/2k

=> x = 3/k

Answer:

Step-by-step explanation:

its A just trust :)

Answer:

its 65

Step-by-step explanation:

The measure of ∠JKL = 3 x 20 + 5 = 65 degrees.

We have three lines extending from point K such that one line extends to point J, another to point M, and the other to point L.

We have to determine the degree measure of ∠JKL .

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

According to the question, we have -

Measure of ∠JKL = 3x + 5

Measure of ∠JKM = 45 degrees

Measure of ∠MKL = x degrees

Refer to the image attached for more clarity. It can be seen from the image that -

∠JKL = ∠JKM + ∠MKL

3x + 5 = 45 + x

3x - x = 45 - 5

2x = 40

x = 20

Therefore, the measure of ∠JKL = 3 x 20 + 5 = 65 degrees.

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Answer:

Step-by-step explanation:

Expand first

-24+6x=14x

-6x on both sides

-24=8x

/x on both sides

X=-3

Answer: [tex]x=-3[/tex]

Step-by-step explanation:

You want to apply the distributive property. Or, you could just divide by 6 on both sides. Ill just apply the distributive property:

[tex]14x = -24 +6x[/tex]

Now subtract 6x from both sides to get:

[tex]8x = -24[/tex]

Divide both sides by 8 to get x = -3

Answer:

v = 7i + 2j

w= - 4i + j

10v = 10(7i + 2j) = 70i + 20j

3w= 3(- 4i + j) = -12i + 3j

10v + 3w

= 70i -12i + 20j +3j

= 58i + 23j

Hope this helps.

Answer:

y = 13.9

Step-by-step explanation:

The triangle is a 30-60-90 triangle, so x is 16 (double 8). Use the pythagorean theorum to find y. 256 - 64 =192. [tex]\sqrt{192}[/tex] is about 13.9

Answer:

Step-by-step explanation:

A parallelogram is a quadrilateral with four sides.

Given parallelogram ABCD, to prove that opposite sides of the parallelogram are congruent.

Join D to B, the diagonal of the parallelogram which is also a traversal.

So that;

    <ABD = <BDC (alternate angle property)

    <BAC = <ACD (alternate angle property)

Also, diagonals;

      /AC/ = /BD/ (reflexive property)

Then;

      ΔABD = ΔCBD (Angle-Side-Angle, ASA, property)

Thus;

     /AB/ ≅ /CD/ (corresponding sides of congruent triangles are congruent)

    /BC/ ≅ /AD/  (corresponding sides of congruent triangles are congruent)

Therefore, the opposite sides of the parallelogram ABCD are congruent.

Answer:

First system: no solution

Second system: one solution

Third system: one solution

Fourth system: infinite solutions

Fifth system: no solution

Step-by-step explanation:

First system: 3x-2y=3; 6x-4y=1

From the first equation: y = (3x - 3)/2

Using this value of y in the second equation:

6x - 6x + 6 = 1

6 = 1 -> System has no solution

Second system: 3x-5y=8; 5x-3y=2

From the first equation: x = (8 + 5y)/3

Using this value of x in the second equation:

5*(8 + 5y) - 9y = 6

40 + 25y - 9y = 6

16y = -34 -> y = -2.125

x = (8 - 5*2.125)/3 = -0.875

This system has one solution

Third system: 3x-2y=8; 4x-3y=1

 From the first equation: x = (8 + 2y)/3

Using this value of x in the second equation:

4*(8 + 2y) - 9y = 3

32 + 8y - 9y = 6

y = 26

x = (8 + 2*26)/3 = 20

This system has one solution

Fourth system: 3x-6y=3; 2x-4y=2

  From the first equation: x = 1 + 2y

Using this value of x in the second equation:

2*(1 + 2y) - 4y = 2

2 + 4y - 4y = 2

2 = 2

This system has infinite solutions

Fifth system: 3x-4y=2; 6x-8y=1

  From the first equation: x = (2 + 4y)/3

Using this value of x in the second equation:

2*(2 + 4y) - 8y = 1

4 + 8y - 8y = 2

4 = 2

This system has no solution

Answer:

If the triangular prism is bigger than the rectangular prism, it will have a greater volume. There are also many other reasons listed below:

Possible reasons:

Please mark Brainliest if correct.

Sorry if it is not correct.

Answer: no , the correct answer is 3x+2

Step-by-step explanation:

Remove parentheses.

x−1+2x+3

Collect like terms.

(x+2x)+(−1+3)

Simplify.

3x+2

Answer:

I assume that songs are $0.99 each.  Let x represent the number of songs you download.  Then the total cost of downloading x songs would be

C(x) = $5.00 + ($0.99/song)x

and ONLY integers = to or greater than 0 make sense here.  The domain is [0,  100) assuming you cannot buy more than 100 songs.

Personally I'd give the answer as "2, whole numbers more than or equal to zero."  However, IF you don't pay the membership fee until ready to actually order one or more songs, then "2, whole numbers greater than or equal to one" makes sense.  You'd pay $5 plus $0.99 for one song, in that case.

Step-by-step explanation:

Answer:

The expression 7x represents the height of the container.

Step-by-step explanation:

From the question:

We are being informed that; if the length of the container is half of a foot longer than its width.

Let the width be x;

Then the length of the container can now be ; x+1/2

We all known that the volume of a rectangular prism is : V= l×w×h

here;

l = length

w = width

h = height  

If we rewrite the given expression :

[tex]\mathbf{7x^3+3.5x^2}[/tex];

Then we factor we make a similar coefficient  of  the above equation, the  remaining entities left in the parenthesis should be a linear term  with a leading coefficient of 1 to match the expression for the length of the container.

i.e

[tex]\mathbf{7x^3+3.5x^2}} \\ \\\mathbf{7x^2(x+1/2)} \\ \\\mathbf{7*x*x*(x+1/2)}[/tex]

Hence, if the length of the container is half a foot longer than its width, x, then the expression 7x represents the height of the container.

Answer:

Step-by-step explanation:

The vertices (-2, -3) and (-2, 4) are on the same vertical line and are separated by 4 - (-3), or 7, units.  The vertices (-2, 4) and (5, 4) are on the same horizontal line (y = 4) and separated horizontally by 5 - (-2), or 7, units.  If you can picture this in your mind, you'll see a 45-45-90 isosceles triangle with leg lengths 7 (there are two such legs).

The next thing to do is to calculate the length of the hypotenuse of this triangle.  Using the Pythagorean Theorem, we get:

d = √(7² + 7²) = 7√2 ft.

The perimeter of this triangle is thus 7 ft by 7 ft by 7√2 ft, or approximately 23.9 feet, or 7.97 yd

and ...

The area of the triangular shape is A = (1/2)(base)(height), which here is

A = (1/2)(7)(7) = 49/2 ft^2, or 16.4 yd^2

Answer: 2x -5

Step-by-step explanation:

Hi, to answer this question we have to write equations with the information given:

John=x

We have to multiply by 2 the number of marbles that John has (x), and subtract 5.  

Max = 2x -5

Feel free to ask for more if needed or if you did not understand something.  

Answer:

[tex]y\leq -x+4[/tex]

Step-by-step explanation:

The first thing that we can do is look at the equation of the line and then worry about the inequality afterwards.

This line has a y-intercept of 4 and a slope of -1.

This means that the equation of this line would be [tex]y=-x+4[/tex]

Now that we have the equation of the line, we just need to determine which inequality sign to use.

As the shaded region is BELOW the line, we will use a less than (<) sign.

As the line is fully shaded, I can only assume that it is meant to include the line, which would mean that [tex]y\leq -x+4[/tex] would be the equation for this inequality.

Answer:

$11.25 / hr

Step-by-step explanation:

36x+40x=855

76x=855

x=11.25

Answer:

So since the formula for perimeter is 2(w+h)

200 = 2(w+h)

that means that

100 = w+h

100 = 36+x

x=

64 UNITS

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the possibility diagram to calculate the probability that the product of the two numbers is

A prime number

Sample Space: 64

Prime Number:8

Probability: 8/64 = 1/8

Not a perfect square

Sample Space:64

Not a perfect square:56

Probability: 56/64 = 7/8

A multiple of 5  

Sample Space:64

A multiple of 5: 16

Probability: 16/64 = 1/4

Less than or equal to 21  

Sample Space:64

Less than or equal to 21:24

Probability: 24/64 = 6/16 = 3/8

Divisible by 4 or 6

Sample Space:64

Divisible by 4 or 6:32

Probability: 32/64 = 1/2

Answer:

John has 18 pieces of paper.

Larry has 32 pieces of paper.

Step-by-step explanation:

Let [tex]l[/tex] be how many pieces of paper Larry has and [tex]j[/tex] be how many pieces of paper John has.

We get:

[tex]j+14=l[/tex]

[tex]j+l=50[/tex]

[tex]j+j+14=50\\\\2j+14=50[/tex]

Subtract 14 from both sides

[tex]2j=36[/tex]

Divide both sides by 2

[tex]j=18[/tex]

John has 18 pieces of paper.

[tex]j+14=l\\\\18+14=l\\\\l=32[/tex]

Larry has 32 pieces of paper.

Answer:

D. 22+(4×5)÷2

Step-by-step explanation:

Four 5 pound weight=(4×5)

Barbell weighed 22 pounds

={(4×5)+22}

Paulina lifted it with both arms

Both arms=2

{(4*5)+22}/2

It can be rewritten as

22+(4*5)÷2

Answer:

So if each person eats 1/3 pizzas. And he makes 4 pizzas. There are 3 1/3s in 1 pizza. 3*4 = 12.

The answer is 12 guests

Answer:

1134cm³

Step-by-step explanation:

rolled along the length means the length becomes the height of the cylinder.

length of rectangle = height of cylinder= 44 cm

breadth of rectangle = circumference of top and bottom circles = 18 cm

to find radius = 2πr = 18

2 * 22/7 *r = 18

22/7r = 18/2

22/7r = 9

r = 9*7/22

r= 63/22

Volume of cylinder formula = πr²h

= 22/7 * 63/22 * 63/22 *44

= 63 * 18

= 1134 cm³

(We cannot take it as a hollow cylinder because a rectangular sheet can only have one radius)

Hope this helps you!

Answer:

14 lines shape symmetry

Answer:

Using point (0,2) and gradient 1/3

Equation of the line is

y - 2 = 1/3(x -0)

Multiply through by 3

You'll get

3y - 6 = x

3y = x - 6 or y = 1/3x - 2

Hope this helps.

Answer:

Many solutions

Step-by-step explanation:

Answer: The speed of the current is 3.5 km/h.

Step-by-step explanation:

When they move in the river, the speed of the canoe is:

Sc is the speed of the canoe and Sr is the speed of the current.

Sc + Sr (when they move in the same direction as the current)

Sc - Sr (when they move in the opposite direction as the current)

So we have that in one hour, they moved 2km and then they returned other 2km.

Now, using the relation:

Velocity*time = distance

we can write 1hour = T1 + T2 such that:

(Sc + Sr)*T1 = 2km

(Sc - Sr)*T2 = 2km

T1 + T2 = 1hour -------> T2 = 1h - T1

Sc = 6km/h.

So we can write this as two equations:

(6km/h + Sr)*T1 = 2km

(6km/h - Sr)*(1h - T1) = 2km.

Now, the first step will be isolate one of the variables in one equation, we can get:

T1 = 2km/(6km/h + Sr)

and replace it in the second equation:

(6km/h - Sr)*(1h -2km/(6km/h + Sr)) = 2km.

Now we solve this for Sr, i will ignore the units, so it is easier to read the math.

(6 - Sr) - 2*(6 - Sr)/(6 + Sr) = 2

(6 - Sr)*(6 + Sr) - 2*(6 - Sr) = 2*(6 + Sr)

6^2 - Sr^2 - 12 + 2*Sr - 12 - 2*Sr = 0

-Sr^2 + 36 -12 -12 = 0

-Sr^2 + 12 = 0

Sr = √12 = 3.5km/h

(where we take the positive value of the square root)

The speed of the current is 3.5 km/h

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let a represent the speed of the current and t₁ represent the time spent paddling up and t₂ represent the time spent paddling back. Hence:

(6 - a)(t₁) = 2 km

t₁ = 2 / (6 - a)      (1)

(6 + a)(t₂) = 2 km

t₂ = 2 / (6 + a)   (2)

t₁ + t₂ = 1 hour

[2 / (6 - a)] + [2 / (6 + a)] = 1

12 + 2a + 12 - 2a = 36 - a²

a² - 12 = 0

a = 3.5 km/h

The speed of the current is 3.5 km/h

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Answer:

b

Step-by-step explanation:

Answer:

B comet

Step-by-step explanation:

Orbit of a Comet. Comets go around the Sun in a highly elliptical orbit. They can spend hundreds and thousands of years out in the depths of the solar system before they return to Sun at their perihelion. Like all orbiting bodies, comets follow Kepler's Laws - the closer they are to the Sun, the faster they move.

Please BRAINLIEST!

Answer:

angle ABE and DBC

Step-by-step explanation:

They are both greater than 90 degrees

<ABE & <DBC

obtuse angle: more than 90 degrees and less than 180 degrees

Answer:

Option (2)

Step-by-step explanation:

Given expression is, y = (x + 3)² + (x + 4)²

By solving this expression,

y = x² + 6x + 9 + x² + 8x + 16

y = 2x² + 14x + 25

y = (2x² + 14x) + 25

y = 2(x² + 7x) + 25

y = 2[x² + 2(3.5x) + (3.5)² - (3.5)²] + 25

y = 2[x² + 2(3.5x) + (3.5)²] - 2(3.5)² + 25

y = 2(x + 3.5)² - 24.5 + 25

y = 2(x + 3.5)² + 0.5

[tex]y=(x+\frac{7}{2})^2+\frac{1}{2}[/tex]

Therefore, Option (2) will be the vertex form.

Answer:

Step-by-step explanation:

First find all the sides of the triangle:

Total parts: 4+5+7 =  16

cm per part = 64/16 = 32/8  =4cm

therefore, all measures: 16cm, 20cm, 28cm.

Answer:

since you have not specified the height, I will use any no.

= 0.16

Step-by-step explanation:

perimeter is the distance round

add the ratios; 4+7+5=16

Ratio 16= Perimeter 64cm

R.16=64cm, find all the ratios

start with ratio 4

R.16=64cm

R.4×64cm÷16=16 cm

R.5×64÷16= 20 cm

R.7×64÷16=28 cm

A=1/2× b×h

1/2×16×20= A= 160cm2

2 dp, divide

0.16