what r the answers, please help me, thanks :)​

The value of x in the lines is 126 degree

We are given that;

Three parallel line and one intersecting line

Angles= (x-6) and 60

Now,

By supplementary angles property

Angle 1 + Angle 2 = 180 degree

Substituting the values of angles

x-6 + 60 = 180

x + 54 = 180

x = 180-54

x = 126

Therefore by supplementary angles answer will be 126 degree.

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Answer:

x and x+2

Because the next consecutive odd number is 2 away from the nearest odd number.

Answer:

odd integers are 2 apart from each other (in between them is an even number)

x and x+2 is answer

\(\\ \sf\longmapsto XY+YZ=XZ\)

\(\\ \sf\longmapsto 7a+5a=6a+24\)

\(\\ \sf\longmapsto 12a=6a+24\)

\(\\ \sf\longmapsto 12a-6a=24\)

\(\\ \sf\longmapsto 6a=24\)

\(\\ \sf\longmapsto a=\dfrac{24}{6}\)

\(\\ \sf\longmapsto a=5\)

Value of a is 4 and value of YZ is 20 units

Step-by-step explanation:

Given:

Y is between point X and Z

Value of line XY = 7a

Value of line YZ = 5a

Value of line XZ = 6a + 24

Find:

Value of "a" and line YZ

Computation:

We know that

XY + YZ = XZ

So,

7a + 5a = 6a + 24

12a = 6a + 24

6a = 24

a = 4

Value of a = 4

So,

Value of line YZ = 5a

By putting value of a

Value of line YZ = 5(4)

Value of line YZ = 20 units

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Answer:

Step-by-step explanation:

The formula for the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.

We know that V = 5,890.625 cm^3, h = 14.5 cm, and l = 25 cm.

Substituting these values into the formula, we get:

5,890.625 = 25w(14.5)

5,890.625 = 362.5w

w = 16.25

Therefore, the width of the rectangular prism is 16.25 cm.

Answer:

It's A

Step-by-step explanation:
well all you have to do is divide like 5,890.625 dvided by 14.5 then divide again by 25 them bam you got 16.25

Answer:

y = {1, 3, 7}

Step-by-step explanation:

Given

y = ½x + 3

Domain: {-4, 0, 8}

Required

Determine the range of the function

To do this, we simply substitute each value of the domain in the given expression

We start with the first

Substitute -4 for x in y = ½x + 3

y = ½ * -4 + 3

y = -2 + 3

y = 1

Then 0

Substitute 0 for x in y = ½x + 3

y = ½ * 0 + 3

y = 0 + 3

y = 3

Lastly, 8

Substitute 8 for x in y = ½x + 3

y = ½ * 8 + 3

y = 4 + 3

y = 7

Hence, the range of the function is:

y = {1, 3, 7}

Answer:1,3,7

Step-by-step explanation:

Answer:

The y-axis is upside down, meaning that instead of the values increasing as they go up, they decrease.

The value of the required missing angle is;

m<JKM = 35°

We know from geometry that the sum of angles in a triangle sums up to 180 degrees.

Now, we are trying told that in the given Triangle that the angle m<J = 55 degrees.

We also see that the angle <KMJ is equal to 90 degrees becasue it is a right angle.

Thus to find the angle m<JKM, we can write the name expression as;

m<JKM = 180 - (90 + 55)

m<JKM = 35°

Thus that's the value of the required missing angle.

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Answer:

4 miles

Step-by-step explanation:

the store is one mile, her friend is 3 miles from the store.

Any two sides of a triangle's length total must be longer than the third side's length then this set of side lengths will make a triangle.

The two smallest sides must be longer than the longest side in order for them to be able to angle up and form a triangle if the two are placed end to end.

It's simpler than it seems to determine whether a triangle has three side lengths. The Triangle Inequality Theorem, which asserts that the sum of a triangle's two side lengths is always greater than the third side, will suffice.

One will have a triangle if this holds true for each of the three possibilities of increased side lengths.

This theorem merely states that the third side of a triangle cannot be smaller than the total of the first two sides. You will have a valid triangle if this holds true for each of the three possible combinations.

To confirm that the triangle is feasible, one will need to go through each of these combinations one at a time.

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we have to do alot for this

so first we gotta change 12.3 into a mixed fraction

n = 5 so 5 ÷ 12.3

The profit function is P(x) = -500.523x^2 + 600x - 200.

To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).

Given:

Cost function: C(a) = 500x^2 + 300

Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300

Profit function, P(x), is obtained by subtracting the cost function from the revenue function:

P(x) = R(x) - C(a)

P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)

Simplifying the expression:

P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300

P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300

P(x) = -500x^2 - 0.523x^2 + 600x - 200

Combining like terms:

P(x) = (-500 - 0.523)x^2 + 600x - 200

Simplifying further:

P(x) = -500.523x^2 + 600x - 200

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

2/3×3/5=2/3. 3/4×1/6=1/8

2/3-1/8=11/40

Answer:

Step-by-step explanation:

\(( \frac{2}{3} \times \frac{3}{5} ) - ( \frac{3}{4} \times \frac{1}{6} )\)

Reduce the numbers with Greatest common factor 3

⇒\( \mathsf{(2 \times \frac{1}{5} ) - ( \frac{1}{4} \times \frac{1}{2} )}\)

Calculate the product

⇒\( \mathsf{( \frac{2}{5} )- ( \frac{1}{4} \times \frac{1}{2}) }\)

Subtract the fractions

⇒\( \mathsf{ \frac{2 \times 8 - 1 \times 5}{40} }\)

⇒\( \mathsf{ \frac{16 - 5}{40} }\)

⇒\( \mathsf{ \frac{11}{40} }\)

Hope I helped!

Best regards!

Answer:

29120

Step-by-step explanation:

28000 x .04 = 1120

1120 + 28000 = 29120

Answer:

  a. x = 15

  b. scalene

Step-by-step explanation:

You want to know the value of x and the classification of the triangle whose circumscribing arcs are (8x-10)°, (6x)°, and (10x +10)°.

The sum of arcs around the circle is 360°.

  (8x -10)° +(6x)° +(10x +10)° = 360°

  24x = 360 . . . . . . . . . . . divide by °, simplify

  x = 15 . . . . . . . . . . . . divide by 24

The arc measures around the circle are ...

  (8x -10)° = 110°

  (6x)° = 90°

  (10x +10)° = 160°

Each arc is double the measure of the inscribed angle that intercepts it. The different arc measures mean the angle measures are different, so the triangle is scalene.

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Answer:

7.3 units is the answer rounded

When A(-4,1) and B(3,-1), the length of AB is approximately 7.3 units.

The distance formula is a mathematical formula that is used to compute the distance between two points in a coordinate plane.

This formula is derived from the Pythagorean theorem, which states that the square of the length of the hypotenuse in a right triangle equals the sum of the squares of the lengths of the other two sides.

We can use the distance formula to find the length of AB:

\(d = \sqrt{ ((x2 - x1)^2 + (y2 - y1)^2)}\)

Where (x1, y1) = (-4, 1) and (x2, y2) = (3, -1)

d = sqrt(\((3 - (-4))^2 + (-1 - 1)^2\))

= sqrt(\(7^2 + (-2)^2\))

= sqrt(49 + 4)

= sqrt(53)

≈ 7.3 (rounded to one decimal place)

Therefore, the length of AB is approximately 7.3 units.

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Answer:

i think that is it a or b NO ITS B

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

Considering they are similar they should be equally proportioned.

A way to write and represent this is

\(\frac{9}{5} =\frac{x+1}{3.33}\)

Which means that

\(1.8*3\frac{1}{3} = x+1\)

Or

6=x+1

Then you get x by itself by subtracting 1 and you'll get

5=x

Or x=5

Answer:

Hope it will help you...

Answer:

Step-by-step explanation:

Step-by-step explanation:

s=d/t

s=18/30

s=3/5km/h

Each friend had originally 13 action figures before buying 11 more.

Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.

a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.

Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.

The total number of action figures will be 5(x + 11) = 5x + 55.

Now, according to the problem,5x + 55 = 120

This is our equation that models the problem.

b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.

5x + 55 = 120

5x = 120 - 55 (subtract 55 from both sides)

5x = 65x = 13

Therefore, each friend had originally 13 action figures before buying 11 more.

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Answer:

Step-by-step explanation:

15% of 20 is 3

Step-by-step explanation:

5x - 15 we multiply the barclet value by 5

Step-by-step explanation:

5(x-3)= 5×x - 5×3

= 5x-15

In the accompanying proof, the reason (5) is SAS theorem.

In the given question,

Given: AB || DC

AB=DC

Prove: m∠DAC = m∠BCA

The statement used to prove this conditions are:

Statement                        Reason

AB || DC                            (1) Using the Quadrilateral Rule

AB=DC                             (2) Opposite sides are equal

m∠BAC = m∠DCA           (3) Alternate interior angles Theorem

AC=AC                              (4) Common Side

∆ADC≅∆CBA                   (5) SAS Theorem

m∠DAC = m∠BCA            (6) Alternate interior angles Theorem

We have to explain in the accompanying proof, what is reason (5).

So, in the accompanying proof, the reason (5) is SAS theorem.

In the proving we first prove one side equal, then angle equal and at last again one side equal.

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The correct value of 2f(a-1) is 2a^2 - 12a + 10.

To find the value of 2f(a-1), we need to substitute (a-1) into the function f(x) and then multiply the result by 2.

Given: f(x) = x^2 - 4x

Substituting (a-1) into the function:

f(a-1) = (a-1)^2 - 4(a-1)

Expanding and simplifying:

f(a-1) = (a^2 - 2a + 1) - (4a - 4)

f(a-1) = a^2 - 2a + 1 - 4a + 4

f(a-1) = a^2 - 6a + 5

Now, we multiply the result by 2:

2f(a-1) = 2(a^2 - 6a + 5)

Expanding:

2f(a-1) = 2a^2 - 12a + 10

Therefore, the value of 2f(a-1) is 2a^2 - 12a + 10.

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\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{15\% of 40}}{\left( \cfrac{15}{100} \right)40}\implies \text{\LARGE 6}\)

Answer: -3/2

Step-by-step explanation:

FIrst rearrange the equation in y = mx + b form.

4x - 6y = -24

-6y = -4x - 24

y = 2/3x + 4

If the line is perpendicular, the slope must be the negative reciprocal of the current line.

The negative reciprocal of 2/3 is -3/2.