Triangle HIJ is similar to triangle KLM. Find the measure of side MK. Round your answer to the nearest tenth

m∠FHG is given as 120 degrees

100 + ∠FJG = 180 degrees

∠FJG = 80 degrees

∠BGD = ∠AGJ They are vertically opposite

∠HGI + ∠GIH + ∠IHG = 180

40 + 80 + ∠IHG = 180

∠IHG = 60 degrees

∠IHG + m∠FHG = 180 degrees

60 + m∠FHG = 180

m∠FHG = 120 degrees

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Answer:

x = -55/12

Step-by-step explanation:

12(x+6) = 17

12x + 72 = 17

12x = -55

x = -55/12

Histograms are commonly used to visualize the distribution of a dataset by grouping the data into bins and representing the frequency of each bin by the height of a bar.

They are useful for observing the spread or variability of the data and determining the shape of the data, such as whether it is symmetrical or skewed. They cannot be used to observe individual data points, but they provide a good visual representation of the overall pattern of the data. Histograms are not appropriate for multiple choice questions as they do not display individual data points in a clear manner. To display parts of a whole, pie charts are a better choice as they show the proportion of each category as a sector of a circle

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The average speed of the tsunami was approximately 496.45 km/hr.

To find the average speed of the tsunami, we need to know the distance it traveled (7546 kilometers) and the time it took to travel that distance (15 hours and 12 minutes).

First, we need to convert the time to a single unit of measurement. For this calculation, we'll use hours. To do this, we'll convert the minutes to hours:

15 hours + 12 minutes ÷ 60 minutes/hour

= 15.2 hours

Next, we can divide the distance traveled by the time it took:

7546 km ÷ 15.2 hours

= 496.45 km/hr

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Answer:your mom

Step-by-step explanati

Answer: 29.8 feet

Step-by-step explanation:

To solve this, the first step is to make the imaginary triangle (look at the picture below). Now, we use the basic trigonometry functions. Since we have to find tge base part of the triangle (which is the adjacent one to the angle, and we already have the opposite to the angle. So, now we know we have to use the tan ratio. We now solve it with the following method:

[tex]tan(Angle) = \frac{Opposite}{Adjacent} \\[/tex]

Now we sub in our values and use the calculator to solve it:

[tex]tan(40) = \frac{25}{x}\\\\x = \frac{25}{tan(40)} \\\\x = 29.8 (1 d.p)[/tex]

The diameter of the circle is 24 units.

In geometry, the circle is a curved and closed polygon whose boundary line is at equidistance from a point called the center.

A diameter is a line drawn through the circle's center and joining two points on its circumference. The diameter of a circle is twice its radius

The circumference of a circle is known as the circle's perimeter and is the distance a circle travels around its boundary line.

The formula for the circumference of a circle is given by

Here we have

The circumference of a circle is 75.4 units

Let 'r' be the radius of the circle

As we know Circumference of a circle = 2πr    

=> 2πr = 75.4

=> 2r(22/7) = 75.4

=> 2r = (75.4 × 7)/22  

=> 2r = [527.8]/22

=> 2r = 23.99  

=> 2r = 24 (approx)

Therefore,

The diameter of the circle is 24 units.

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Answer:

Step-by-step explanation:

4ft : $24 -> 1ft = $6

so 7ft = 6X7 = $42

and 6X10 = $60

Step-by-step explanation:

We can set up the proportion with students on the bottom and teachers on the to

[tex] \frac{4}{100} = \frac{x}{950} [/tex]

Now we cross multiply

[tex]100x = (950)(4)[/tex]

[tex]100x = 3800[/tex]

Lastly, we will divide both sides by 100

[tex]x = 38[/tex]

The cost of the skirt and blouse after the discount would be -

$52.8 and $56.1 respectively.

Given is that Laura has bought a skirt and a blouse for 66 euros, both had the same price but they have given her a 20% discount on the skirt and only 15% on the blouse.

The cost skirt would be -

${x} = 66 - {20% of 66}

${x} = 66 - {20/100 x 66}

${x} = 66 - {66/5}

${x} = 66 - 13.2

${x} = 52.8

The cost of blouse would be -

${y} = 66 - {15% of 66}

${y} = 66 - {15/100 x 66}

${y} = 66 - {3/20 x 66}

${y} = 66 - 9.9

${y} = 56.1

Therefore, the cost of the skirt and blouse after the discount would be -

$52.8 and $56.1 respectively.

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{Question in english -

Laura has bought a skirt and a blouse for 66 euros, both had the same price but they have given her a 20% discount on the skirt and only 15% on the blouse. How much did each item cost??

Answer:

arc BAC = 276°

Step-by-step explanation:

the sum of the angles around point D is 360°

sum the central angles and equate to 360

7n + 12 + 6n + 13n - 16 = 360

26n - 4 = 360 ( add 4 to both sides )

26n = 364 ( divide both sides by 26 )

n = 14

Then

∠ ADB = 7n + 12 = 7(14) + 12 = 98 + 12 = 110°

∠ ADC = 13n - 16 = 13(14) - 16 = 182 - 16 = 166°

• the arc of a circle is equal to the central angle it subtends

arc BA = ∠ ADB = 110°

arc AC = ∠ ADC = 166°

Then

arc BAC = arc BA + arc AC = 110° + 166° = 276°

The probability that a defective part went through an electronic inspection is 0.2058 or approximately 20.58%.

In order to find the probability that a defective part went through an electronic inspection, Bayes' Theorem will be used. The theorem states that the conditional probability of event A given event B can be calculated as:

P(A | B) = P(B | A) × P(A) / P(B)

where P(A) is the prior probability of event A, P(B | A) is the conditional probability of event B given event A, and P(B) is the overall probability of event B.

In this case, event A is the part that went through an electronic inspection, and event B is the part that is defective. The prior probability of a part going through an electronic inspection is:

P(A) = 0.15, and the overall probability of a part being defective is P(B) = 0.15 ×  0.97 + 0.85 ×  (1 - 0.15) = 0.14695.

The conditional probability of a part being defective given it went through an electronic inspection is P(B | A) = 0.03. The probability of a part that went through an electronic inspection given it's defective is:

P(A | B) = P(B | A) ×  P(A) / P(B) = 0.03 ×  0.15 / 0.14695 = 0.2058

So, the probability that a defective part went through an electronic inspection is 0.2058 or approximately 20.58%.

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Question

At a plant, 30% of all the produced parts are subject to a special electronic inspection. It is known that any produced part which was inspected electronically has no defects with probability 0.15. For a part that was not inspected electronically this probability is only 0.85. What is the probability that it went through an electronic inspection?

The correct response is A since this triangle has a dilatation of (0,0),(1,0),(1,1)) by a factor of 1/3 with respect to the origin.

A figure will dilate if its sides are scaled (multiplied) by the same amount. The scale factor of that dilatation is the name given to that figure.

It is also known as scaling a figure, but since coordinates are involved, it also requires the center of a dilation, which is similar to a pinned point and remains in the same location after dilation.

It appears as though we are adjusting the size of the figure (or leaving it the same when the scale factor is 1).

The positions (0, 0), (3, 0), (3,3)

1/3 scale factor

Now

the GPS coordinates;

(0,0),(1,0),(1,1)

Thus, required dilation is (0,0),(1,0),(1,1).

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Complete question:

A right triangle is drawn on the coordinate plane. Which is a dilation of this triangle with respect to the origin by a factor of 1/3?

Answer:

The positions (0, 0), (3, 0), (3,3)

1/3 scale factor

Now

the GPS coordinates;

(0,0),(1,0),(1,1)

Thus, required dilation is (0,0),(1,0),(1,1).

Step-by-step explanation:

option a

3004¢ more does Company B charge for x miles than Company A.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

Company A charges ​$35.50 and 9¢ per mile.

Company B charges ​$65.50 and 13¢ per mile.

Also, we could convert dollars to cents by multiply it by 100

Since $1 =100 cents.

so, we get,

Company A charges ​$35.50 and 9¢ per mile. = 3559

Company B charges ​$65.50 and 13¢ per mile = 6563

difference =  6563 - 3559

                 = 3004

Hence, 3004¢ more does Company B charge for x miles than Company A.

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The area of the square block is 48,881 m2, which is calculated by multiplying the length of each side (221 m) by itself.

The area of a square can be calculated by multiplying the length of one side by itself. In this case, the length of each side is 221 m. To find the area of the square block, we need to multiply 221 m by itself. This gives us 48,881 m2 as the final answer. To summarize, the area of the square can be found by multiplying the length of one side by itself. In this case, the length of each side of the block was 221 m, so 221 m multiplied by 221 m results in a total area of 48,881 m2.

The complete question: In one city there are four straight streets that form  a square block. The length of each side of the block is 221 m. Find the area of the square defined by this city block.

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Answer: The friends should choose the Raft Trip if they want to spend exactly $29.

The equation for the Raft Trip is 6n + 5 = 29. Solving for n, we get n = 4. This means that 4 people can participate in the Raft Trip for $29.

The other two activities, the Amusement Park and the Balloon Ride, have equations 14n = 29 and 30n + 40 = 29, respectively. Solving these equations, we find that neither of them allow exactly 4 people to participate for $29.

Step-by-step explanation:

The activity the friends should choose if they want to spend exactly $29 is Raft Trip

Number of people in the group= 4

Raft Trip:

6n + 5 = 29

6(4) + 5 = 29

24 + 5 = 29

Amusement Park:

14n = 29

14(4) = 29

56 ≠ 29

Balloon Ride:

30n - 40 = 29

30(4) - 40 = 29

120 - 40 = 29

80 ≠ 29

Hence, the friends should choose raft trip it they want to spend exactly $29

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Answer:

Below

Step-by-step explanation:

The lowest common denominator is 60

then the fractions become  ( L to right)   51/60   50/60   32/60

Answer:

Step-by-step explanation:

if 10,000/10, find 100drops by moving decimal place

100.00/0.10

so volume is 0.1 flOz

Step-by-step explanation:

length = width + 6

the perimeter of a rectangle is

2×length + 2×width

by using the first equating as identity in the second we get

36 = 2×(width + 6) + 2×width =

= 2×width + 12 + 2×width = 4×width + 12

24 = 4×width

width = 6 m

length = width + 6 = 6 + 6 = 12 m

he dimensions of the rectangular room are 6 meters by 12 meters of the rectangular room is 6 meters longer than it is wide, and its perimeter is 36 meters by solving equations and geometric measurements.

Given that the room is 6 meters longer than it is wide, we can represent the width as W. Therefore, the length of the room would be W + 6.

The perimeter of a rectangle is calculated by adding all four sides, which in this case is given as 36 meters. We can express this as an equation:

Perimeter = 2 * (Length + Width)

Substituting the values, we get:

36 = 2 * (W + (W + 6))

Simplifying the equation further, we have:

36 = 2 * (2W + 6)

Dividing both sides of the equation by 2, we get:

18 = 2W + 6

Subtracting 6 from both sides, we obtain:

12 = 2W

Dividing both sides by 2, we find:

W = 6

Now that we have the width, we can calculate the length:

Length = Width + 6 = 6 + 6 = 12

Therefore, the dimensions of the rectangular room are 6 meters by 12 meters of the rectangular room is 6 meters longer than it is wide, and its perimeter is 36 meters by solving equations and geometric measurements.

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Answer:

x=8

Step-by-step explanation:

We can first take out 3(x-5) and expand it into: (3*x) + (3*-5) = 3x-15

Now, let's plug it into the original equation:

3x-15-7 = 2

Let's solve for x:

3x = 2+15+7

3x = 24

x = 8

Answer:

Third option
q + d = 60

0.25q + 0.10d = 13.35

Step-by-step explanation:

Given q quarters and d dimes

Total number of coins = q + d and this must equal 60

Therefore q + d = 60

Since each quarter is 25 cents(or $0.25) and each dime is 10 cents($0.10)

Total value = 0.25q + 0.10d = 13.35

Correct set  of equations is the third option

Answer:

8

Step-by-step explanation:

If my calculations are correct the third side is 8

Option A If the adage regarding the number 403, 043 is accurate, the three on the left is 100 times bigger than the three on the right.

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the magnitude of the resultant is [tex]\sqrt{2}[/tex] times the magnitude of each individual vector, not one-third.

No, that is incorrect. The magnitude of the resultant of three vectors having equal magnitudes and making an angle of 120 degrees with each other is not one-third the magnitude of the component vectors.

The magnitude of the resultant of three vectors depends on the angle between them, as well as their magnitudes. In general, the magnitude of the resultant of three vectors can be calculated using the law of cosines, which states that the square of the magnitude of the resultant (R^2) is equal to the sum of the squares of the magnitudes of the individual vectors ([tex]A^2, B^2, and C^2[/tex]), plus twice the product of the magnitudes of two of the vectors multiplied by the cosine of the angle between them.

For three vectors of equal magnitude (A = B = C = m), the magnitude of the resultant can be calculated as:

[tex]R^2 = 3m^2 + 2m^2 * cos(120) = 3m^2 - m^2 = 2m^2[/tex]

[tex]R = \sqrt{2} * m[/tex]

Therefore, the magnitude of the resultant is sqrt(2) times the magnitude of each individual vector, not one-third.

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Question: Three Vectors Have Equal Magnitudes And Make 120° With Each Other. We Can Say That The Magnitude Of The Resultant Is One-Third The Magnitude Of The Component Vectors. The Resultant Is Zero. The Magnitude Of The Resultant Is Equal To The Magnitude Of The Component Vectors. The Magnitude Of The Resultant Is More Than Three Times The Magnitude Of Each component Vector.

Answer: 0.75 :D Hope this helps

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

80% ^ 2 = 0.64

so f(2) = 86*0.64 = 55

Answer:

8 m

Step-by-step explanation:

All the sides of a square are equal.

let x = length of one side

A = x² = 64 m²

√x² = x = √64 = 8