Which polygons are congruent?
Select each correct answer.
5
20
20
25
25
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Answer:

b. The new maen age is less than 33.4 years.

The gift wrap needed by Damarcus = total surface area of a rectangular box = 1,048 in.².

Total surface area (TSA) = 2(wl+hl+hw), where:

The amount of gift wrap needed to cover the whole box = total surface area of the rectangular box

l = 20 in.

w = 8 in.

h = 13 in.

Plug in the values into the formula for total surface area of a rectangular box:

TSA = 2(8×20 + 13×20 + 13×8)

TSA = 1,048 in.²

Therefore, the gift wrap needed by Damarcus = total surface area of a rectangular box = 1,048 in.².

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Answer:

64 cm^2

Step-by-step explanation:

Split the figure into two parts (top and bottom rectangle)

TR : 2 x (12-5)*

   2 x 7 = 14

*= Since there are a few ways to split it up but I chose to make the top one shorter so you have to subtract 5 from 12

BR : 10x5 = 50

Add together

14 + 50 =

64 cm^2

Hope this helps :)

Answer:

30 days

Step-by-step explanation:

1.5 Kg = 1500 g

Using 50 g a day

Number of days

= 1500 / 50

= 30 days.

If sin 32 is equal to x, then sin 4 · cos 4 · cos 8 · cos 16 is equal to x/8 by using double angle trigonometric functions.

Trigonometric expressions are formulas that utilize trigonometric functions. Trigonometric functions are a kind of trascendental functions, that is, functions that cannot be described in algebraic terms.

In this question we must simplify a given expression by using the following trigonometric formula:

sin 2x = 2 · cos x · cos x   (1)

Now we proceed to expand the expression given:

x = sin 32

x = 2 · sin 16 · cos 16

x = 4 · sin 8 · cos 8 · cos 16

x = 8 · sin 4 · cos 4 · cos 8 · cos 16

Thus,

sin 4 · cos 4 · cos 8 · cos 16 = x/8

If sin 32 is equal to x, then sin 4 · cos 4 · cos 8 · cos 16 is equal to x/8 by using double angle trigonometric functions. [tex]\blacksquare[/tex]

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The length of the considered flight in terms of time is given by: Option C. 9 hours, 45 minutes

Local time refers to the time of a particular region. The term local refers that whoever is noticing the time and calling it local time means that the person is telling about the time of the place where they're currently staying.

For this case, we're provided that:

When its 8:00 a.m. Damascus it its 4:00 pm in Vladivostok, so the time in Vladivostok is 8 hours ahead of Damascus (or 16 hours behind).

Assuming its 8 hours ahead, as the plane departs from 10:45 am from Vladivostok, and lands in Damascus at 12:30 pm, so 12:30 pm + 8 hours gives 8:30 pm in Vladivostok.

So, the plane departed at 10:45 am of Vladivostok and lands at 8:30 pm in Vladivostok, so it took 9 hours and 45 minutes for his flight to go from Vladivostok to Damascus. (since difference between 8:30 pm and 10:30 am (from 10:30 am to 8:30 pm) is of 9 hours 45 minutes)

Thus, the length of the considered flight in terms of time is given by: Option C. 9 hours, 45 minutes

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Answer:

When it is 8:00 a.m. in Damascus, it is 4:00 p.m. in Vladivostok. If your plane departs from Vladivostok at 10:45 a.m. local time and lands in Damascus at 12:30 p.m. local time, how long was the flight?

a.   1 hour, 45 minutes

b.   5 hours, 45 minutes

c.   9 hours, 45 minutes<<< CORRECT

d.   13 hours, 45 minutes

Step-by-step explanation:

2022 Edge TOPIC TEST

Answer:

Angle I = 44

Measure GH=7.64

Measure GI=7.91

Step-by-step explanation:

Since we know that m∠H = 46 and m∠G=90, we can find measure angle I by subtracting from 180.

[tex]180=46+90+x\\44=x[/tex]

Since we are given that m∠H = 46, and the triangle is right, we can use trigonometric functions to find the two sides.

First is GH, since it's adjacent to the angle, we will use cosine.

[tex]cos(x)=\frac{adjacent}{hypotenuse} \\cos(46)=\frac{adjacent}{11}\\ 11*cos(46)=adjacent\\7.64=adjacent[/tex]

The same idea as previous, only instead we will use sine since we need to find the opposite.

[tex]sin(x) = \frac{opposite}{hypotenuse}\\ sin(46)=\frac{opposite}{11}\\ 11*sin(46)=opposite\\7.91 = opposite[/tex]

Answer:

I am pretty sure it is the second option

Step-by-step explanation:

Hope this helps

The answers are presented below:

The quadratic function can be represented by a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.

The vertex of an up-down facing parabola of the form ax²+bx+c is [tex]x_v=\frac{-b}{2a}[/tex]  . Knowing the x-coordinate of vertex, you can find the y-coordinate of vertex. When a vertical line passes through the vertex of the parabola, it  is called the axis of symmetry.

The y-intercept is the point where the function crosses the y-axis. And, the x-intercept is the point where the function crosses the x-axis, in other words, when y=0.

First, you should convert the given equation to Standard form.

f(x) = -(c+7)² + 4

f(x)= - (c²+14c+49)+4

f(x)= -c²-14c-49+4

f(x)= -c²-14c-49+4

f(x)= -c²-14c-45

After that, you should check each option of the question.

Correct because present a degree 2 -- f(x)= -c²-14c-45

Incorrect because it is a quadratic function and this function is represented by a parabola.

The coefficients are: a=-1, b=-14, c=-45. Therefore,

[tex]c_v=\frac{-b}{2a}=-\frac{-14}{2*(-1)} =-\frac{-14}{-2}=-(7)=-7[/tex]

Incorrect because x-coordinate of vertex is -7

Correct because  [tex]c_v=\frac{-b}{2a}=-\frac{-14}{2*(-1)} =-\frac{-14}{-2}=-(7)=-7[/tex]

You can find the y-intercept using c=0, then f(x)= -c²-14c-45 will be:

f(x)=-45.

Incorrect because the y-intercept is (0,-45).

The coefficient a of a quadratic function is negative, thus the function has a point maximum. A relative maximum point is defined as the point where the function changes your direction. In other words, the values of the function increase before the relative maximum and the values decrease after the relative maximum.

Correct, see the attached image.

It is possible to find the number of roots or solutions from discriminant.

For quadratic equation the discriminant is determined by D=b²-4ac, where: a, b and c are coefficients.

If D > 0 - the function will have two real solutions;

If D = 0 - the function will have one real solution;

If D < 0 - the function will have imaginary solutions;

For given equation, the coefficients are: a=-1, b=-14, c=-45. Thus, D=(-14)²-4*(-1)*(-45)

D=196-180=16

D=16 thus D > 0

Incorrect because the D>0.

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Answer:

Step-by-step explanation:

The property of rhombus that can be used to proof that a triangle is an equilateral triangle is that when it is split into two equal parts, an equilateral triangle is formed.

A rhombus is defined as a quadrilateral that has four equal straight sides with opposite sides parallel and equal opposite angles.

A rhombus with two 60 degree angles and two 120 degree angles can be split by one of its diagonals (the one that bisects the 120 degree angles) into two congruent, equilateral triangles.

Therefore, the property of rhombus that can be used to proof that a triangle is an equilateral triangle is that when it is split into two equal parts, an equilateral triangle is formed.

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Answer:

6a²

Step-by-step explanation:

6×5² = 6×25 = 150cm²

thank you

Answer:

150 centimeters cubed

Step-by-step explanation:

[tex]6x2^2= 150[/tex]

Answer:

In March the baker will sell 34 chocolate chip cookies. In April he will sell 74 cookies.

Step-by-step explanation:

So first, we end up doubling the original amount of cookies from January for February which gets us 20 cookies, he takes 6 homes leaving us with 14. He continues to double the FULL amount so he doubles 20 for March which gets us 40, then we again take 6 away leaving us with 34. We do the same thing for April. Double 40 getting 80, take away 6 you get 74. Done.

=============================================

Work Shown:

m/n = 5

m = 5n

m^2 - 25n^2 = (m)^2 - (5n)^2

m^2 - 25n^2 = (m-5n)(m+5n)

m^2 - 25n^2 = (5n-5n)(5n+5n)

m^2 - 25n^2 = (0n)(10n)

m^2 - 25n^2 = (0)(10n)

m^2 - 25n^2 = 0

-----------------

Another approach:

m/n = 5

m = 5n

m^2 = (5n)^2

m^2 = 25n^2

m^2 - 25n^2 = 0

-----------------

Consider the example that m = 10 and n = 2.

We can see that m/n = 10/2 = 5

Furthermore,

m^2 - 25n^2 = 10^2 - 25*2^2 = 100 - 100 = 0

I'll let you try out other examples.

Answer:

*** "and" means multiply

2/9

Step-by-step explanation:

*** "and" means multiply

spinning a vowel is 1/3

not spinning a 1 is 2/3

1/3 times 2/3 is 2/9

Answer: 116

Step-by-step explanation:

We can substitute x=-14, giving us f(-14)=-8(-14)+4=116

Answer:

Perimeter = 36 meters.

Area = 81 meters.

Step-by-step explanation:

To find the perimeter of a square you have to add all sides.

To find its area you have to multiply the base by the height of a square.

Answer:

2.1 meters

Step-by-step explanation:

[tex]13.8=2w+2(w+2.7)[/tex]

[tex]13.8=2w+2w+5.4[/tex]

[tex]13.8=4w+5.4[/tex]

[tex]8.4=4w[/tex]

[tex]2.1=w[/tex]

Answer:

G: 770 yards

A: diameter

O: multiplication/division

N: 770 = 2πr

S: D = 2r = 770/π

A: 770/π or ≈ 245.0986 yards

Step-by-step explanation:

Hope this helps!

Answer:

Given: circumference = 770 yards

Asked: Diameter of the circle

Solution:

pi x d = 770

      d = 770/ pi

Answer:

91

Step-by-step explanation:

If we add all of the student's scores we get 273. Because there are 3 students we divide 273 by 3 and we get 91 as the average.

Answer:

The grinding action between the plates at a transform plate boundary results in shallow earthquakes, large lateral displacement of rock, and a broad zone of crustal deformation.

Step-by-step explanation:

It transform boundaries are where plates slide past each other causing friction, leading to earthquakes.

This is my answer absolute 100% correct

Hope it helps Favor(Brainliest)

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[tex]5x^2-14x+8\\\\=5x^2-10x-4x +8\\\\=5x(x-2) -4(x-2)\\\\=(x-2)(5x-4)[/tex]

Answer:

x = 142°

Step-by-step explanation:

The first thing you need to figure out is the missing interior angle of the triangle.

There is 180 degrees in a triangle, there is a 90° and 52° angle listed, so subtract that from 180° to get the missing angle.

180° - 90° - 52° = 38°

Now we want the exterior angle x. Angle x and the interior angle form a straight line when combined which will also be a 180° angle. You can picture this as a half circle (a full circle is 360°).

So subtract the interior angle 38° from 180°

180° - 38° = 142°

Answer:

so u have to shoe ur work right? so (-3,-1)=(-2,4-) there

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

2 pounds = 32 ounces

32 ounces / 2 ounces = 16 ounces

Answer:

[tex]a_{n} =500(n) + 30,000[/tex]

Step-by-step explanation:

Hey there!

This equasion is correct because [tex]500[/tex] is being multiplied by the multiplyer which is [tex]n[/tex], how many years have gone by

After that The equasion adds [tex]30,000[/tex] because he started with [tex]30,000[/tex].

Answer:

The answer is [tex]a_{n} =500n+29,500.[/tex]

The recursive rule is [tex]a_{n} =a_{n-1} + 500[/tex]; [tex]a_{1}=30,000[/tex]. In other words, the nth term is the previous term + 500. The first term, as given, is a1 = 30,000.

Step-by-step explanation:

The answer is [tex]a_{n} =500n+29,500.[/tex]a_n = 500n + 29,500. It is easy to check: just plug in n = 1, and you'll get the first year's salary = 500•1 + 29,500 = 30,000.

Another way to find it is [tex]a_{n} =30,000+500(n-1)=30,000+500n-500=29,500+500n[/tex].

The recursive rule is [tex]a_{n} =a_{n-1} + 500[/tex]; [tex]a_{1}=30,000[/tex]. In other words, the nth term is the previous term + 500. The first term, as given, is [tex]a_{1}=30,000[/tex].

Answer:

Well then it would be blue every single time since there are 12 marbles in the bag and 12 are blue.

Step-by-step explanation:

There is really no other way to explain it lol

Have a nice day!

A marble is chosen from the bag at random and the probability is 1.

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

A bag with 12 marbles has 12 blue marbles.

A marble is chosen from the bag at random.

The probability,

= number of favorable outcomes / total number of outcomes.

= 12/12

= 1

Therefore, the probability is 1.

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Answer:

-2, 10

Step-by-step explanation:

From the image, I'm pretty sure it's asking you to find where the line can be "cut" into to make it symmetrical. If this is true, you would need to find a half way mark in the graph, or try and plot this on the graph.

Answer:

180 angles usually up and down from each other

Step-by-step explanation:

85.2

94.8