An artist connects stained glass pieces with lead strips. In this rectangular window, the strips are cut so that FH = 28 in. Find JG. Complete the explanation

A rotation of the 270º will map the blade formed by triangle CBD onto the blade formed by triangle EDF.

The rotations are defined as clockwise or counterclockwise as follows:

The entire circumference formed by the image has an angle measure given as follows:

360º.

Triangle EDF is 3/4 of the circumference away from triangle CBD, hence the angle measure of the counterclockwise rotation is given as follows:

3/4 x 360º = 0.75 x 360º = 270º.

Which is the angle measure used to complete the blank in this problem.

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Answer:

x = -1

Step-by-step explanation:

Since a triangle's angles all add up to 180 based on this formula: 180(n-2) (n being the # of sides of the shape you're solving for, and the total being the interior), we can set up this equation:

46 + (x+62) + 73 = 180

Now, we can solve for x:

x = 180-73-62-46

x = -1

The two column proof to show that ABCD is a parallelogram is as shown below

A two-column proof is defined as a geometric proof that consists of a list of statements, and the reasons that we know those statements are true.

Statement 1; BD bisects AC

Reason 1; Given

Statement 2; ∠BAC ≅ ∠DCA

Reason 2; Given

Statement 3; AB║ CD

Reason 3; Properties of parallelogram

Statement 4; ∠BEA ≅ ∠CED

Reason 4; Alternate Interior angles

Statement 5: AE ≅ EC

Reason 5: Diagonals of a parallelogram bisect each other

Statement 6: ΔABE ≅ ΔCDE

Reason 6: SAS Congruency postulate

Statement 7: BA ≅ DC

Reason 7: Properties of parallelogram

Statement 8: ABCD is a parallelogram

Reason 8: Corresponding parts of congruent triangles are congruent

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Answer:

x= 4/3

Step-by-step explanation:

Think the negative sign outside the parentheses as -1. Then do distributive property to the numbers inside the parentheses.

-1 x 3x and -1 x -12

That equals to -3x + 12 so now your entire equation is -3x + 12 = 9x - 4. Now lets take away 9x from both sides like this,

9x - 9x and -3x - 9x.

That equation is now -12x + 12 = -4.

Now subtract 12 from both sides like this,

12 - 12 and -4 - 12.

And then you have -12x = -16.

Now you divide both numbers by -12 like this,

-12x/-12 which equals to just x and then do -16/-12 which would equal as 1.3333 and repeating but, it can be put as 4/3 for a clearer answer.

So your answer is

Three lots with parallel side boundaries extend from the avenue to the boulevard.

x + y + z = 140 meters

According to the proportion theorem,

Solving for x, using cross multiplication:

Similarly,

x/40 = z/35

solving for z by cross multiplication,

z = 35x/40

z = 7x/8

Now, the third proportions,

y/30 = z/35

Solving for y,

y = 30z/35

y = 6z/7

x + y + z = 140

4y/3 + 6z/7 +  7x/8 = 140

(224y + 144z + 147x)/168 = 140

224y + 144z + 147x = 23520

Substituting z = 7x/8,

224y + (144 × 7x/8) + 147x = 23520

224y + 126x + 147x = 23520

224y + 273x = 23520

Now,

Substitute y = 3x/4

(224×3x/4) + 273x = 23520

168x + 273x = 23520

441x = 23520

x = 53.33

Now,

We know that

y = 3x/4

so,

y = 40

And,

z = 7x/8

Z = 46.66

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The expected value of the sample mean of the values obtained in these 300 tosses is 3.5

300 fair throws of a six-sided die are made.

The expected value of the sample mean of the results acquired from these 300 tosses must be determined.

Six sides make up a dice:

Every side of a fair dice has an equal chance of happening.

Now, each side's likelihood of being present is 1/6.

Now, the sample mean of the values collected in these 300 tosses is predicted to be equal to:

E(x) = Σx P(x =x)

= 1*1/6 + 2*1/6 + 3*1/6 + 4*1/6 + 5*1/6 + 6*1/6

= 1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6

= 1/6 (1+2+3+4+5+6)

= 1/6 (21)

= 21/6

E(x) = 3.5

Hence, the expected value of the sample mean of the values obtained in these 300 tosses is 3.5

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Answer:

68.1 grams

Step-by-step explanation:

454 × .15 = 68.1

The total number of clients with a BMI of 25.9 or higher is therefore equal to 1 * 2.6 + 3 * 2

The total amount of money she would need to give in discounts next month can be found by calculating the total number of clients with a BMI of 25.9 or higher. To calculate this, the frequencies of each BMI range need to be multiplied by the width of the corresponding bar. The total amount of money she would need to give in discounts is then equal to the total number of clients with a BMI of 25.9 or higher multiplied by $50.

Using the histogram, the number of clients in each BMI range are: 18.1-20.7 (1), 20.7-23.3 (3), 23.3-25.9 (5), 25.9-28.5 (2), 28.5-31.1 (1).

The width of each bar is: 18.1-20.7 (2.6), 20.7-23.3 (2.6), 23.3-25.9 (2.6), 25.9-28.5 (2.6), 28.5-31.1 (2.6).

The total number of clients with a BMI of 25.9 or higher is therefore equal to 1 * 2.6 + 3 * 2

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Answer:1.25(400)

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

The two different possible values for height h and radius r for the cones are height = 3 inches when radius = 3 inches and height = 4.5 inches when radius = 2 inches.

The volume of a cone is given by the formula [tex]V = (1/3)\pi r^2 h[/tex].

We can use this formula to find the values of h and r that will give us a cone with a volume of 9π cubic inches.

We have a volume of the cone -

(1/3)π[tex]r^2[/tex]h = 9π

solving for h, we get,

h = (3/[tex]r^2[/tex]) * 9

Now we have a formula for h in terms of r. We can substitute different values for r and see what values of h we get. Let's consider two possibilities:

                   h = (3/[tex]3^2[/tex]) * 9 = 3 inches

                   h = (3/[tex]2^2[/tex]) * 9 = 4.5 inches

So, one possible cone has a height of 3 inches and a radius of 3 inches, and another possible cone has a height of 4.5 inches and a radius of 2 inches.

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The image has been dragged to show where cost is proportional to area and attached

Equation y = kx can be used to define proportional functions, which are linear functions that include the origin.

While all proportional functions are linear, not all linear functions are proportional functions.

From the table the equation s calculated to be y = kx

where k = 1.25

for x = 400, y = 1.25 * 400 = 500

for x = 500, y = 1.25 * 500 = 750 and so on

this is a proportional function

For asphalt sealant the labor fee added made the function not to be a proportional function

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Answer:

If there are 3,461 teachers and 28 students per teacher, to find the total number of students, you can multiply the number of teachers by the number of students per teacher:

3,461 teachers * 28 students/teacher = 97,268 students

So there are 97,268 students in the district.

The constant of proportionality for this variation is 0.174cm/gallon .

Every relationship that always maintains the same ratio is referred to be proportionality. For instance, the average amount of apples per tree determines the proportionality between both the quantity of apples in a crop and the number of trees in the orchard.

Let the amount a tree grows in one month be - x  

The amount of water   given be -  y

If the amount a tree grows in one month is directly proportional to the amount of water given, then

x ∝ y

x = ky

k is defined as the constant of proportionality

k = [tex]\frac{x}{y}[/tex]

Given

x = 4cm

y = 23 gallons

k = [tex]\frac{4}{23}[/tex]  

k = 0.174cm/gallon

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Answer:294,25$

Step-by-step explanation:

you make 7% of 100 multiply by $275 and the price that gives you you make more $275 and that gives you your results

A closed quadrilateral is a kind of polygon having 4 sides, 4 vertices, and 4 angles. A triangle doesn't have four sides because if it did, it wouldn't be a triangle. It would be a quadrilateral, the term used to describe geometric objects with four sides.

Three line segments combine to form a triangle, which is a straightforward closed curve or polygon. In Euclidean geometry, any three points, notably non-collinear ones, independently create a singular triangle and a singular plane.

In Euclidean geometry, any three points, notably non-collinear ones, independently create a singular triangle and a singular plane.  polygon with 4 sides that is a quadrilateral.

One fascinating feature of a quadrilateral is that its opposite parallel sides are possible.  Four non-collinear points are joined to create it. Since a triangle would not have four sides

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The height of the cone is about 15.9 meters.

The hypotenuse of the right triangle, which also contains the cone height as one of its legs, is formed by the radius (18 m) and slant height. You may find out the height (h) using the Pythagorean theorem.

The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a2 + b2, are equal to the squares on the legs.

So,

 18² + h² = 24²

  h = √(576 -324) = √252

  h ≈ 15.9 . . . . . meters

The height of the cone is about 15.9 meters.

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The vector joining the ship to the rock is t= 5i+5 j

A vector is a quantity or phenomenon that has two independent properties: magnitude and direction, a quantity that has both magnitude and direction but not position.

The direction is 0.9505 radians east of north.

The position vector of the ship: r= 1i+0j

The position vector of the ship: s= 4i+5j

The vector joining the ship to the rock is: t=r+s

t=(1 i + 0 j) + (4i + 5 j)

t=5i+5j

Θ=π/2-arctan(5/7)

Θ=0.9505 radians

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The statement that answers the linear model possibility is NO

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

Initial = 100

Year 1 = 110

year 2 = 121

year 3 = 133.10

The savings account balance is increasing at an inconsistently increasing rate, which is not linear.

The savings account starts with $100, and increases by $10 in the first year, by $11 in the second year, and by $12.10 in the third year.

This is an example of exponential growth, which cannot be modeled by a single linear equation.

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Answer:

4x-7

thats your answer

Step-by-step explanation:

:))))

Answer:

.375 as a decimal

Step-by-step explanation:

The inequality 14.5v ≥ 235 can be used to determine the minimum number of visits Brianna needs to earn her first free movie ticket.

The inequality 14.5v ≥ 235 can be used to determine the minimum number of visits Brianna needs to earn her first free movie ticket.14.5v ≥ 235

To figure out how many visits Brianna needs to earn her first free movie ticket, we can set up an inequality. We'll set the left side of the equation equal to the total points needed for a free movie ticket (235 points). We'll set the right side of the equation equal to the points earned per visit (14.5 points) multiplied by the number of visits (v).

14.5v ≥ 235

The inequality 14.5v ≥ 235 can be used to determine the minimum number of visits Brianna needs to earn her first free movie ticket.

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The triangles in this problem are similar using the SSS theorem.

Similar triangles are triangles that share these following two features:

For this problem, we have that the two triangles share two common angle measures.

A triangle is composed by three angles, and the sum of their measures is of 180º, hence the third angle measure will be equal for both triangles.

As the angle measures are equal, the side lengths are going to be proportional, thus the triangles are similar by the SSS theorem.

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The perimeter of triangle XYZ is 38.95 inches

Consider the following figure.

The area of rectangle WXYZ is 115. 5 in.²

From given figure we can observe that PQ = 4 in.

So, XW = YZ = 2 × PQ

XW = YZ = 2 × 4

XW = YZ = 8 inches

This means, the width of rectangle WXYZ is  8 inches

We know that the area of the reactngle is given by the formula,

A = length × width

here, A = 115.5 in.² and width = 8  in.

115.5 = length × 8

length = 115.5 / 8

length = 14.44 in.

So, XY = WZ =  14.44 in.

For right triangle XYZ using Pythagoras theorem,

XZ² = XY² + YZ²

XZ² = 14.44² + 8²

XZ² = XY² + YZ²

XZ² = 272.51

XZ = 16.51 in.

So, the perimeter of triangle XYZ would be,

P = XY + YZ + XZ

P = 14.44 + 8 + 16.51

P = 38.95 inches

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The values of ∠T is 18.78 degree.

In ΔSTU ,

We have:

T = 390 cm,

S = 900 cm

and ∠S=48°.

Using the sine rule which works law of sin with the formula:

[tex]\frac{SinT}{T} = \frac{SinS}{S}[/tex]

Plug all the values in above formula:

sinT/ 390 = sin48°/900

sin T = 0.743 × 390 / 900

sin T = 0.3220

T = [tex]sin^-^1[/tex](0.3220)

T = 18.78 degree.

Hence, The values of ∠T is 18.78 degree.

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The expected reward amount is -10$.

The product of the likelihood of each occurrence and the related reward results in the anticipated reward amount, which is equal to the expected reward value.

According to the question

We must multiply the odds of rolling an even number by the payout for rolling an even number, the odds of rolling an odd number by the payout for rolling an odd number, and then sum the results to determine the expected payoff.

P(odd) = P(1) + P(3) + P(5) = 0.1 + 0.1 + 0.1 = 0.3

P(Even) = P(2) + P(4) + P(6) = 0.3 + 0.2 + 0.2

The expected reward is calculated as follows:

(p(even) * 100 + (p(odd) * 200)) = (0.7 * 100 + (0.3 * 200)) = 70 - 60 = -10

As a result, the predicted reward is -10$.

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They will vote for in the upcoming School actions maybe they have to choose example should to best represent the entire population is they have to ask to every tenth student in the cafeteria.

Every Nth name from the list of target population members is chosen in systematic sampling. For instance, every tenth member on the list will be included in the sample. Thus, the 10th, 20th, 30th, and so forth will be chosen to make up the sample group.

According to this, they must consult a student in the tenth grade because he is the most knowledgeable about school and has the most experience of anybody.

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Range provides a precise measurement of variability for both sets of data because it compares the greatest and lowest values in a dataset.

It is a helpful measure of variability for comparing the constancy of temperature between Desert Landing and Flower Town because it is unaffected by skewness or symmetry.

A histogram is a graph that shows how a dataset is distributed. In a dataset, it is a way to show the frequency of various values or ranges of values.

In a histogram, the y-axis normally indicates the frequency or count of the values, and the x-axis typically shows the values or ranges of values.

Each bin in the data is represented by a bar whose height is equal to the number of observations in that bin. The data is divided into bins. The distribution of data is visualized using histograms, which are also used to spot anomalies and spot patterns or trends in the data.

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The Area of the base of the basket is 10 ft².

Given,

Volume of basket = 15 cubic feet

h = 1.5 ft

V = πr²h

15 = πr² (1.5)

πr² = 15/1.5

πr² = 10 ft²

Area of base of the basket = 10 ft²

(or)

15 = πr² (1.5)

r = √15/π(1.5)

Simplifying the values, we can get radius of basket = 1.78

Then, area of base of basket = πr²

Substituting the values of π = 3.14 and r = 1.78 in above formula, we get,

Area of base of the basket ≈ 9.95 ft²

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A cylinder can be measured in two separate ways: volume and area. As area gauges an object's two-dimensional surface, volume gauges how much space an object takes up.

If the cylinder's height and base area are known, the cylinder's volume may be determined by multiplying the base area by the cylinder's height. By dividing the base's circumference by its height, one may get the cylinder's area.

Given,

Volume of basket = 15 cubic feet

h = 1.5 ft

V = πr²h

15 = πr² (1.5)

πr² = 15/1.5

πr² = 10 ft²

Area of base of the basket = 10 ft²

(or)

15 = πr² (1.5)

r = √15/π(1.5)

We may obtain radius of basket = 1.78 by simplifying the numbers.

Then, area of base of basket = πr²

By replacing the values of 3.14 and 1.78 in the formula above, we obtain,

Area of base of the basket ≈ 9.95 ft²

Therefore, The Area of the base of the basket is 10 ft².

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The average speed of the ball which travelled 24 meters in 8 seconds is 3m/s.

Speed is simply referred to as distance traveled per unit time.

Mathematically, Speed = Distance ÷ time.

Given the data in the question;

To determine the average speed of the ball, plug the given values into the above equation and simplify.

Speed = Distance / time

Speed = 24 meters / 8 seconds

Speed = 3m/s

Therefore, the speed is 3 meters per seconds.

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