Use the proof above to answer the question: What reason can be used to prove that the triangles are congruent?
A. AAS B. ASA C. AAA D. SAS E. SSS

Answer:

48 + 8x = 9

Step-by-step explanation:

4 + [tex]\frac{2}{3}[/tex] x = [tex]\frac{3}{4}[/tex]

multiply through by 12 ( the LCM of 3 and 4 ) to clear the fractions

48 + 8x = 9

Answer:

19.0 cm (3 sf)

Step-by-step explanation:

Formula

[tex]\sf arc \ length=2\pi r \left(\dfrac{\theta}{360}}\right)[/tex]

(where r is the radius)

Arc length of white sector

Radius of white sector = 8 - 4.5 = 3.5 cm

[tex]\sf \implies arc \ length=2\pi \cdot 3.5 \left(\dfrac{50}{360}}\right)=\dfrac{35}{36} \pi \ cm[/tex]

Arc length of grey sector

Radius = 8 cm

[tex]\sf \implies arc \ length=2\pi \cdot 8 \left(\dfrac{50}{360}}\right)=\dfrac{20}{9} \pi \ cm[/tex]

Perimeter of shaded part

Perimeter = arc length (white) + arc length (grey) + 2 x 4.5

                [tex]\sf =\dfrac{35}{36} \pi + \dfrac{20}{9} \pi +9[/tex]

                [tex]\sf =19.0356432...[/tex]

                [tex]\sf =19.0 \ cm \ (3 \ sf)[/tex]

Answer:

1,090

Step-by-step explanation:

y=-5x-2

Hope it helps.

Do comment if you have any query.

Answer:

  (b)  32x^3 - y^3 + 42x^2y + 11xy^2 + 17

Step-by-step explanation:

To find the difference of the polynomials, write the equation expressing the difference, then simplify.

  (19x^3 +44x^2y + 17) - (y^3 -11xy^2 +2x^2y -13x^3)

  = (19 -(-13))x^3 -y^3 +(44 -2)x^2y +(-11)xy^2 +17

  = 32x^3 -y^3 +42x^2y -11xy^2 +17

The correct option regarding the operation of cancellation in a fraction is given by:

A. reducing fractions to make multiplying easier.

It happens when two fractions are multiplying each other, and terms are simplified to make the multiplication easier. For example:

[tex]\frac{2}{3} \times \frac{6}{4} = \frac{6}{3} \times \frac{2}{4} = 2 \times \frac{1}{2} = 1[/tex]

The terms 2 and 4, and 3 and 6, were canceled. Hence option A is correct.

More can be learned about cancellation in a fraction at https://brainly.com/question/571030

Answer:

1/4

Step-by-step explanation:

Sample Space

I'll do part 1 to get you started

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Answers:

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Explanations:

Answer:

At this distance, Jupiter takes 11.8618 Earth years to complete a single orbit of the Sun. In other words, a single Jovian year lasts the equivalent of 4,332.59 Earth days.

Step-by-step explanation:

that the best i can do !!!!

Answer:

46

Step-by-step explanation:

p=6,q=12.

Put the numbers where the letters are.

7x6+12/3

46

Hope this helps!

Answer:

[tex]beinggreat78~here~to~help~you~learn![/tex]

When doing short equations like this, you want to use P.E.M.D.A.S. That just means you want to use parentheses first, exponents second, multiply third, divide fourth, add fifth, and subtract last. In this case, since there are no parentheses, or subtraction, or exponents, we cross those three out, and make multiplication our top priority. But, what exactly does seven p mean? p is an assigned, substituted number. Sometimes people will use p instead of x as subs, but it really does not matter. So now that we have enough information, let's start.

[tex]7p=7 * number(In~this~case,~6)[/tex]

[tex]7 * 6 = 42[/tex]

The next step is to divide q(12) by three. Before adding, you want to divide, because it is your second-top-priority.

[tex]\frac{q}{3} = \frac{12}{3}~which~is~4[/tex]

Lastly, add the quotient and the product together.

[tex]7p(42) + \frac{q}{3} (4) = 46[/tex]

And we are done! The result is 46, so that means your answer is D! Yay!

What have we learned while doing this problem?

[tex]x^2 -5x +6 =0\\\\\implies x^2 -3x -2x +6 = 0\\\\\implies x(x-3) -2(x-3) =0\\\\\implies (x-3)(x-2)=0\\\\\implies x =3, ~ x = 2[/tex]

Answer:

The value of x = 2 or 3

Step-by-step explanation:

By factorisation ,

=> x² - 5x + 6 =0

=> x² - 3x - 2x + 6 = 0

=> x ( x-3 ) -2 ( x-3 ) = 0

=> (x-2) (x-3) = 0

so, the value of x = 3 or 2

Step-by-step explanation:

a. the zeroes of the function :

x = 2 or x = -2

b. the y-intercept :

g(0) = -3(0-2)(0+2)

= -3(-2)(2) = 12

the coordinates => (0, 12)

c. the g(x) = g(-x) => this is the even function

d. the leading of coefficient is negative

e. the end of behaviour is toward down

Answer:

8840

Step-by-step explanation:

Answer:

8,840

Step-by-step explanation:

Using the vertical asymptote of the function, it is found that it is given by:

[tex]f(x) = -1.5\frac{(x - 4)}{x - 2}[/tex]

In this problem, the x-intercept of the graph is x=4, hence the numerator is a(x - 4).

The graph has one vertical asymptote at x=2, hence the denominator is x - 2.

Hence:

[tex]f(x) = \frac{a(x - 4)}{x - 2}[/tex]

The y-intercept of the graph is y=−3, hence:

[tex]-3 = \frac{a(0 - 4)}{0 - 2}[/tex]

[tex]-4a = 6[/tex]

[tex]a = -1.5[/tex]

Thus, the function is:

[tex]f(x) = -1.5\frac{(x - 4)}{x - 2}[/tex]

More can be learned about asymptotes at https://brainly.com/question/16948935

Answer:

We need the picture of the line plot in order to answer the question

Step-by-step explanation:

Answer:

  140 in³

Step-by-step explanation:

The ratio of volumes of similar objects is proportional to the cube of the ratio of the linear dimensions.

__

Here, prism B is half the height of prism A, so will have (1/2)³ = 1/8 of the volume of prism A:

  Vb = (1/8)×Va

  Vb = (1/8)×(1120 in³) = 140 in³

The volume of Prism B is 140 cubic inches.

Answer:

Minimum

Step-by-step explanation:

The zeros of a quadratic equation are the points at which the parabola intersects the x-axis.

[tex]\sf x=3 \implies x-3=0[/tex]

[tex]\sf x=7 \implies x-7=0[/tex]

[tex]\sf \implies y=a(x-3)(x-7)[/tex]   (for some constant a)

[tex]\sf \implies y=ax^2-10ax+21a[/tex]

The optimal value is the y-coordinate of the vertex.  

[tex]\sf \implies vertex=(x,-3)[/tex]

The x-coordinate of the vertex is the midpoint of the zeros:

[tex]\sf x=\dfrac{7-3}{2}+3=5[/tex]

[tex]\sf \implies vertex=(5,-3)[/tex]

Therefore, the vertex will be in Quadrant IV and so the parabola opens upwards into Quadrant I.  

So the optimal value is a MINIMUM since the vertex is the minimum point of the curve.

Additional Information to create the equation of the quadratic

Vertex form of quadratic equation:  [tex]\sf y=a(x-h)^2+k[/tex]

where (h, k) is the vertex

[tex]\sf \implies y=a(x-5)^2-3[/tex]

[tex]\sf \implies y=ax^2-10ax+25a-3[/tex]

To find the value of a, compare the constants of both equations:

[tex]\sf 21a=25a-3[/tex]

[tex]\sf \implies -4a=-3[/tex]

[tex]\sf \implies a=\dfrac34[/tex]

So the final equation is:

[tex]\sf factor \ form \implies y=\dfrac34(x-3)(x-7)[/tex]

[tex]\sf standard \ form\implies y=\dfrac34x^2-\dfrac{15}{2}x+\dfrac{63}{4}[/tex]

[tex]\sf vertex \ form \implies y=\dfrac34(x-5)^2-3[/tex]

Answer:

B. At most

Gives a maximum that it can be.

The dimension of the rectangle is 40meters by 20meters

The perimeter of a figure is the sum of all the external sides of the figure

The formula for calculating the perimeter of rectangle = 2(l+w)

If the length is 20 meters longer than the width, then;

l = 20 + w

Substitute

120 = 2(20+2w)

60 = 20 + 2w

30 = 10 + w

w = 20 meters

Since l = 20  + w

l = 20 + 20

l = 40 meters

Hence the dimension of the rectangle is 40meters by 20meters

Learn more on perimeter of figure here: https://brainly.com/question/22447290

Nandyan na po

Step-by-step explanation:

Answer:

2 cups of flour

2/3 cup of sugar

1 1/3 cups of chocolate chips

Step-by-step explanation:

3 dozen chocolate chip cookies

3 cups of flour

1 cup of sugar

2 cups of chocolate chips

The recipe is for 3 dozen cookies as stated above.

If you make 2 dozen cookies, then you are making 2/3 of the recipe since 2 is 2/3 of 3.

That means you need 2/3 of all the ingredients.

2/3 × 3 dozen chocolate chip cookies

2/3 × 3 cups of flour

2/3 × 1 cup of sugar

2/3 × 2 cups of chocolate chips

We simplify the amounts to:

2 dozen chocolate chip cookies

2 cups of flour

2/3 cup of sugar

1 1/3 cups of chocolate chips

Answer:

[tex] \frac{1}{9} [/tex]

Step-by-step explanation:

[tex] \frac{3}{11} \times \frac{4}{9} [/tex]

[tex] \frac{12}{108} [/tex]

[tex] \frac{1}{9} [/tex]

Answer:

1848 square inches

Step-by-step explanation:

surface area is the combined area of all the outside surfaces.

area of triangle is base x height / 2

There are two, so no need to divide

18 x 12 = 216

Area of rectangle is base x height

15 x 34 + 15 x 34 + 18 x 34 = 1632

Then add

216 + 1632 = 1848

Answer: D) 2

Step-by-step explanation:

x² = 9 means what number times itself is equal to 9

We know that 3×3=9 so that is already one solution, but there is another

-3×-3 is also equal to 9

A negative number times a negative number results in a positive number so -3 is another solution.

That gives us two solutions

Answer:

D; only 2

Step-by-step explanation:

Solve for x over the real numbers:

x^2 = 9

Take the square root of both sides:

Answer: x = 3 or x = -3

Answer:

2 2/10 miles

but on the part where he realized he forgot his books was he at the library already when he realized cuz if not them it's more than 2 2/10

The roots of a quadratic equation and the zeroes of a quadratic equation are related in the following form: [tex]\sum\limits_{i= 0}^{2} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{2} (x-r_{j}) = 0[/tex].

Polynomials are algebraic entities that satisfy the following condition:

[tex]p(x) = \sum\limits_{i= 0}^{n} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{n} (x-r_{j})[/tex]   (1)

Where:

If we have that [tex]p(x) = 0[/tex], then there are n values of x such that the equation is satisfied and those values are called zeroes. For the case of a quadratic equation, there are two zeroes.

[tex]\sum\limits_{i= 0}^{2} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{2} (x-r_{j}) = 0[/tex]   (2)

Please note that the right part of (2) contains the roots of the polynomial and (2) represents a relationship based on the closure properties for algebraic fields.

Therefore, the roots of a quadratic equation and the zeroes of a quadratic equation are related in the following form: [tex]\sum\limits_{i= 0}^{2} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{2} (x-r_{j}) = 0[/tex].

To learn more on quadratic equations, we kindly invite to check this verified question: https://brainly.com/question/5975436

Answer:

x = -1

Step-by-step explanation: