Given the following:






What theorem or potulate can be ued to conclude the triangle are congruent?

Answer:

perimeter of rectangle= 2(l+b)

=2(4x+5+8x-4)

=2(12x+1)

24x+2

Answer:

perimeter of the rectangle = 24x + 2

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Then:

perimeter = 2(4x+5 + 8x-4)

perimeter = 2(4x+8x + 5-4)

perimeter = 2(12x + 1)

perimeter = 2*12x + 2*1

perimeter = 24x + 2

The equation "ax2 = y," which has one solution unless a = 4, and none unless a = 4, has a solution. x = √(-4ay) / (2a) restricted by the condition that y be negative.

We may use the quadratic formula to determine the solutions to an equation for various values of an to construct a solution to the equation "ax² = y," which has no solution when a = 4 & just one solution in all other cases.

According to the quadratic formula, the answers to the problem "ax2 + bx + c = 0" are provided by

x = (-b +/- √(b² - 4ac)) / (2a)

In this formula, if we add "ax² = y," we obtain

x = (-0 +/- √(0² - 4ay)) / (2a)

which simplifies to

x = √(-4ay) / (2a)

If a = 4, the equation becomes

x = √(-16y) / 8

The equation has no solutions if y is positive because the value of (-16y) is fictitious. The value of (-16y) is real if y is negative, but the equation is still unsolvable since x cannot have a negative value. As a result, when a = 4, the problem has no solutions.

The equation has a single solution provided by any other value of a.

x = √(-4ay) / (2a)

For example, if a = 3, the equation becomes

x = √(-12y) / 6

Since √(-12y) is imaginary if y is positive, the problem has no solutions. If y is negative, √(-12y) has a real value, and there is only one solution to the problem.

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It would take Laine 20.83 minutes to read 25 pages at the same rate.

Assuming that Laine was able to read 200 pages in 240 minutes at a consistent rate, it would take her 25 minutes to read 25 pages. To figure out how long it would take Laine to read 25 pages, we need to use a proportion.

Let x represent the time it will take Laine to read 25 pages.

200/240 = 25/x

Cross multiply to solve for x:

240x = 5000

Divide both sides by 240:

x = 20.83 minutes

Therefore, it would take Laine 20.83 minutes to read 25 pages at the same rate.

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Answer: seth made 3 banana bread and 2 bananas where left over

Step-by-step explanation:

so draw 11 bananas circle three until you are left with less than three

count how many circles have three bananas which is 3 circles

now count how many bananas are not in a circle which is 2

i have adhd so i'm not good at explaining things so yeah hope this helps

:)

Answer:

[tex]2m=45[/tex]

Step-by-step explanation:

He earned twice as much washing cars, which is [tex]2m[/tex]. This is given to be equal to 45.

Answer:

Step-by-step explanation:

First, they want you to recall that in a right triangle,  that you know the angle y, because you know two of the angles already.   and you know the total is 180°  around a triangle.  There is a lot you're supposed to remember.   Anyway,  

180 = y + 62+90

180-62-90 = y

28 = y

see??

z =  the same length, as triangle  IHK on the same segment

z= 1

Answer:

  k = 7

Step-by-step explanation:

You want to know the value of k that transforms f(x) = 2/3x -3 to g(x) = f(x) +k, where g(x) is 2/3x +4.

The amount of vertical shift to get from f(x) to g(x) can be found by subtracting f(x) from g(x):

  g(x) = f(x) +k

  g(x) -f(x) = k

  (2/3x +4) -(2/3x -3) = k

  4 -(-3) = k = 7

Function f(x) is shifted upward by k = 7 to transform it to g(x).

__

Additional comment

We can read the equations from the graph by looking for the y-intercept (b) and the slope (m = rise/run) of each line. The slope is rise=-2 for run=3, so m=-2/3.

The +k means the transformation is a vertical shift. You don't need to know what the equations for f(x) and g(x) are; you only need to look at the difference between the y-intercepts. That difference is the amount by which g(x) is shifted upward.

The best description of the distribution is bimodal with a gap.

Here in the plot, we can see that there are two peaks and it implies that there are two modes.

This can be seen in a histogram as a distinct gap between two cohesive groups of bars. When two clearly separate groups are visible in a histogram, you have a bimodal distribution. Literally, a bimodal distribution has two modes, or two distinct clusters of data

We can see that there is a gap between the two modes. So the best description of the distribution is bimodal with a gap.

The following dot-Plot shows the bimodal with a gap.

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Answer:

[tex]p+166=249[/tex]; [tex]p=83[/tex] pages

Step-by-step explanation:

The number of pages that need to be read plus the 166 pages already read must add to 249.

Check the picture below.

[tex]\cfrac{17.5+14}{17.5}~~ = ~~\cfrac{x}{12.5}\implies \cfrac{(17.5+14)(12.5)}{17.5}~~ = ~~x\implies 22.5=x[/tex]

Using fractions, we can say that  0. 2×0. 002 equal 0. 4or in other way 0.0004.

What is a expression? What is a mathematical equation? What is Equation Modelling? What is denominator?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In a fraction say (x/y), [y] is called denominator.

We have following expression -(0.2) • (0.002) = 0.0004

We have -

(0.2) x (0.002)

2/10 x 2/1000

1/5 x 1/500

1/2500

0.0004

Therefore, using fractions, we can say that 0.0004.

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No. Using Lin's method, there is an implicit assumption that [tex]d \neq 0[/tex]. However, the solution to the equation turns out to be [tex]d=0[/tex], making Lin's method invalid.

Step-by-step explanation:

v = u + at

v-u = at

a = (v -u)/t

When t = 4, u=10, v=50

a = (50-10)/4

a= 40/4

a = 10

The truck is 32.22m away from the base of the building

As a 1.5m long  man is standing on the 42m long building,

=>the height of man's site= 42+ 1.5= 43.5m

If the line of sight is directed downward from the horizontal line, then an angle is created with the horizontal line. The angle produced between the horizontal line and the observer's line of sight is known as the angle of depression if the object being observed is below the observer's level.

As given, the angle of depression = 53.5°

We know that,

tan ∝= perpendicular* base

so, ∝=53.5:

tan(53.5 )= 43.5/y

[where y= distance of the truck from the base of the building]

1.35= 43.5/y

y=43.5/1.35= 32.22m

Hence, the truck is 32.22m away from the base of the building.​

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Answer:

None of A, B, or C.

Step-by-step explanation:

A quadratic function in its general form is [tex]f(x)=a(k(x-d))^2+c[/tex], where a represents the vertical stretch/compression, k the horizontal stretch/compression, d the horizontal shift, and c the vertical shift. Here, based on the image of f(x) and the resulting transformed function g(x), we can see that the graph has only been shifted horizontally to the right by two units. We should expect the function g(x) to be [tex](x-2)^2[/tex], which is not provided in any of the options.

Answer:

[tex]V=197.82 m^{3}[/tex]

Step-by-step explanation:

The volume of a cylinder is defined by [tex]\pi r^{2} h[/tex], where [tex]\pi r^2[/tex] represents the area of its base (which is just a circle) and [tex]h[/tex] the height of the cylinder. Think of a rectangle. The formula for its volume is simple [tex](base)(width)(height)[/tex]. In this case, base and width are [tex]\pi r^2[/tex], and the height is simply [tex]h[/tex].

Knowing this information, we can solve for the volume:

Diameter = 6 m . Radius is half of the diameter. So Radius, r, = 3 m.

Height = 7 m.

Now we plug into the equation, such that [tex]\pi =3.14[/tex]:

[tex]V=(3.14)(3)^2(7)[/tex]

[tex]V=197.82 m^{3}[/tex]

Answer:

[tex]V=197.82[/tex]

Step-by-step explanation:

[tex]Given,\\H=7m\\D=6\\R=?\\[/tex]

So we need to find the radius with the Formula,

[tex]r=\frac{d}{2}[/tex]

[tex]r=3m[/tex]

Now we need to find the volume of the cylinder by the Formula,

[tex]V=\pi r^{2}h[/tex]

[tex]V=3.14X(3)^{2}(7)[/tex]

[tex]V=3.14X63\\V=197.82[/tex]

Hope it helps u

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Answer: 42 parcels total.

each parcel contains 6 tins of beans in each parcel, 4 chocolate bars, and 7 packets of soup.

Answer:

The number of packages is 42.

The contents of each package is 4 chocolate bars, 6 tins of beans, 7 packets of soup.

Step-by-step explanation:

We need to find the greatest common factor (GCF) of the three numbers to find the number of packages.

168 = 2³ × 3 × 7

252 = 2² × 3² × 7

294 = 2 × 3 × 7²

GCF = 2 × 3 × 7 = 42

The number of packages is 42.

168/42 = 4

252/42 = 6

294/42 = 7

The contents of each package is 4 chocolate bars, 6 tins of beans, 7 packets of soup.

Mean of the sample is 6 and standard deviation of the sample is 2.258

number of volunteers per day = 40

so n=40

sample proportion is a random variable that varies from sample to sample in ways that are impossible to predict in advance.

sample proportion(p) = 15 %= 15 /100 =0.15

 so p= 0.15

and hence q= 1 - p= 0.85

formula of mean = n * sample proportion =  np.

mean of sample = np = 40 *0.15 =6

 so mean = 6

so standard deviation or SD =  [tex]\sqrt{p * q * n}[/tex]

standard deviation = [tex]\sqrt{p*q*n}[/tex]

=> √(40 × 0.15 × 0.85)

=> √5.1

so standard deviation = 2.258

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Answer:

[tex]223093\pi/187500[/tex]

Step-by-step explanation:

[tex]V=\frac{1}{3}\pi r^2 h=(\pi/3)(1.31^2)(2.08)=223093\pi/187500[/tex]

Answer:

Step-by-step explanation:

The transformation represented by g(x) = 2(x-3)^2+4 is a parabolic stretch of the function f(x) = x^2.

The function f(x) = x^2 is a parabola with vertex at (0, 0). The transformation represented by g(x) = 2(x-3)^2+4 stretches this parabola horizontally by a factor of 2, shifting it 3 units to the right and 4 units up.

The resulting function g(x) = 2(x-3)^2+4 is a parabola with vertex at (3, 4). It is the graph of f(x) = x^2 that has been stretched horizontally by a factor of 2, shifted 3 units to the right, and 4 units up.

Answer:

Step-by-step explanation:

It could be apple because there is more apple that blackberry fruit drops

Step-by-step explanation:

apple flavoured and 8 are blackberry

flavoured. She chooses a sweet at random and eats it. Then she chooses another sweet at

random. Calculate the probability

Answer:

D

Step-by-step explanation:

Answer:

Answer is D

Step-by-step explanation:

The number of solutions of each of the given linear equations are;

1) No solution

2) One solution

3) No solution

1) We are given the equation;

¹/₃x - 6 = ¹/₃(x - 3) - 5

Expanding the bracket gives us;

¹/₃x - 6 = ¹/₃x - 1 - 5

The value that has the variable x is equal on both sides and so will cancel out leaving us with no solution.

2) 8x + 7 = -8x + 7

Add 8x to both sides to get;

16x + 7 = 7

subtract 7 from both sides to get;

16x = 0

x = 0

This has only one solution

3) 0.8x + 14 = 0.8x

The value attached to the variable on both sides are equal and so we say that this has no solution.

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The tip of the man's shadow is moving at the speed of 2.25m/s.

Here, we are given-

Length of the pole = 6 meters

Height of the man = 2 meters

Speed of the man = 1.5 m/s

we can form a diagram as shown in the figure below.

Now as the two triangles are similar, the ratio of their sides will be equal-

2/ b = 6/ (a + b)

2(a + b) = 6b

2a + 2b = 6b

2a = 4b

a = 2b

Now, differentiating both sides with respect to time-

da/ dt = 2db/ dt

(1/2)(da/dt) = db/dt

Let a + b = c

⇒ dc/ dt = da/dt + db/dt

dc/ dt = da/dt + da/2dt

dc/ dt = 3/2 × da/ dt

Now, we know that the speed of the man is 1.5m/s ⇒ da/dt = 1.5

dc/dt = 3/2 × 1.5

= 2.25

Thus, the tip of the man's shadow is moving at a speed of 2.25m/s.

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Your question was incomplete. Check for full content below-

a street light is mounted at the top of 6 a -ft-tall pole. a man 2 ft tall walks away from the pole with a speed of 1.5m/s along a straight path. How fast is the tip of his shadow moving when he is 10ft from the pole?

The probability that the weight of the box less than 27 kilogram is 0.375

The figure shows the probability distribution shows the weights x, in kilograms, of boxes being shipped from a certain factory.

Then a shipped box is randomly chosen

The probability is the ratio of the number of favorable outcomes to the total number of outcome

The probability = Number of favorable outcomes / Total number of outcomes

Number of possible weights = 8 weights

Number weights less than 27 kilogram = 3

Substitute the value in the equation of probability

The probability = 3/8

Divide the numbers

= 0.375

Therefore, the probability is 0.375

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Answer:

A.

Step-by-step explanation:

5 x 14 = 70

x^1 x x^7 = 8

y^0 x y^5 = 5

Answer:

x-intercept: (-7,0)

y-intercept: (0,9)

Step-by-step explanation:

The area of the figure having two semicircles and a parallelogram is equal to 173.01 square inches. The correct option is A.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle. The space occupied by the parallelogram in a two-dimensional plane is called the area of the parallelogram.

Given that the radius of the semicircle is 6 inches and the height of the parallelogram is 5 inches.

Calculate the area of two semicircles,

Area = π / 2r² +  π / 2r²

Area = πr²

Area = ( π x 6² )

Area = 113.09 square inches

Calculate the area of a parallelogram,

Area = B x H

Area = 12 x 5

Area = 60 square inches

The total area of the figure,

Total area = 113.09 + 60

Total area = 173.01 square inches

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The expression that is equivalent to a + b will be 3x + 3.

It's important to note that an expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.

In this situation, the value of a = 2x and b = x + 3. The expression that is equivalent to a + b will be:

= a + b

= 2x + x + 3

= 3x + 3.

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The value of a = 2x and b = x + 3. Which expression is equivalent to a - b?