Find the area of the shaded region. Round to the nearest tenth.

1. Triangle jkl is congruent to triangle uvw, 2. Side lk corresponds to side vw, 3. Angle jlk corresponds to angle uvw. When we say that δjkl ≅ δuvw, it means that triangle jkl is congruent to triangle uvw.

Congruent triangles have corresponding sides and angles that are equal in measure. Therefore, side lk in triangle jkl corresponds to side vw in triangle uvw.

Similarly, if δuvw ≅ δabc, it implies that triangle uvw is congruent to triangle abc. Consequently, the corresponding parts of these triangles are equal. Hence, angle jlk in triangle jkl corresponds to angle uvw in triangle uvw.

In summary, the given information allows us to conclude that triangle jkl is congruent to triangle uvw. Side lk in triangle jkl corresponds to side vw in triangle uvw, and angle jlk in triangle jkl corresponds to angle uvw in triangle uvw. These congruences and corresponding parts help establish the relationships between the triangles and provide a framework for further analysis or geometric proofs.

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QUESTION:

Given that ΔJKL ≅ ΔUVW and ΔUVW ≅ ΔABC, complete the following statements.

Triangle JKL is congruent to triangle

Side LK corresponds to sides

Angle JLK corresponds to angles

Answer- 9 shelves

In order to find out how many shelves are need we must divided 175 into 20. 175 divided by 20 is 8.75. But, because you cannot have have .75 of a shelf, you have to round this to a whole. This means that 9 shelves will be the least needed number of shelves need to store 175 books. To check this answer 20 books X 8 shelves is 160 books, which means eight shelves can only store 160 books, we will need and additional shelf to store the last 15 books.

HOPE THIS HELPS & GOOD LUCK!

The least common multiple of the given expressions, 4x²y³ and 6x³y², is 12x³y³

From the question, we are to determine the least common multiple of the given expressions

The given expressions are

4x²y³ and 6x³y²

First, we will determine the LCM of the digits

That is,

The LCM of 4 and 6

The LCM of 4 and 6 is 12

Now, we will determine the LCM of x²y³ and x³y²

The LCM of x²y³ and x³y² is x³y³

Hence, the LCM of the two expressions is 12 × x³y³ = 12x³y³

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Angle ACD is congruent to angle ADC by transitive equality if angles 1 and 2 are both ACD because angle ACB is congruent to angle ADE in the step above. Therefore, angle 1 equals angle 2, as you can see.

An isosceles triangle in geometry is a triangle with two equal-length sides. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.

Here,

Given that segments AB and AE are congruent, the triangle ABE is required to be isosceles by definition.

As a result, angle ABC must be similar to angle AED, again in accordance with the definition of an isosceles triangle.

Consequently, triangle ABC must be congruent to triangle AED by SAS as you have been informed that segments BC and DE are congruent. Right now, it's unclear to you whether angle 1 is ACB or ACD.

Assuming it is ACB, CPCT shows that ACB is congruent to ADE. Angle 1 equals angle 2, so there you have it. Since angle ACB is supplementary to angle ACD and angle ADE is supplementary to angle ADC.

Since angle ACB is congruent to angle ADE from the step above, angle ACD is congruent to angle ADC by transitive equality if angle 1 and angle 2 are both ACD. Angle 1 equals angle 2, so there you have it.

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The solution to the system of equations is x = 3/2 and y = 6

The system of equations is given as:

1/2x = 3/4 and y = 6

The variables x and y in each of the above equations are independent

This is so because they only occur in one equation at a time

So, we have:

1/2x = 3/4

Multiply both sides by 2

x = 3/2

Hence, the solution to the system of equations is x = 3/2 and y = 6

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Answer:

C. about $15.00

Step-by-step explanation:

To solve, you take the initial amount, which is $100, and multiply it by the percentage in decimal form: 15% ---> 0.15

100 x .15 = 15

An advance in technology in the production of good X causes:

c) a rightward shift in the supply curve for good X.

An advance in technology typically increases the efficiency of production and reduces the costs of production. This results in an increase in the quantity of goods that can be produced at a given price, causing the supply curve to shift to the right. The shift to the right reflects an increase in supply, meaning that at any given price, there is now a larger quantity of goods available for sale. This increase in supply tends to put downward pressure on the market price.

The determination of a rightward shift in the supply curve as a result of an advance in technology can be made through analyzing the relationship between price and quantity supplied using basic microeconomic principles.

The supply curve represents the relationship between the price of a good and the quantity of that good that producers are willing and able to supply to the market. An advance in technology that leads to an increase in production efficiency and a decrease in production costs can increase the quantity of goods that can be produced at any given price.

As a result, the supply curve will shift to the right, reflecting an increase in the quantity of goods supplied at each price point. This shift to the right indicates that there is now a larger quantity of goods available for sale at any given price, which can put downward pressure on the market price.

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The coordinate point of C is (4.5, 6).

When a point on a line segment divides it into two segments, the formula used to determine the coordinates of that point is known as the section formula. Let us say, we have a point P(x,y) that divides the line segment with marked points as A (x1,y1) and B(x2,y2). To find the coordinates, we use the section formula, which is mathematically expressed as:

P(x, y) = P(x, y) = [(mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n)]

Given that, Philip travels from town A, with coordinates (1, 6) to town B, with coordinates (7, 6).

The ratio of Philip's Bruces rates is 7:5.

Substitute (x₁, y₁)= (1, 6), (x₂, y₂)= (7, 6) and m:n=7:5 in the section formula, we get

C(x, y) = [(7×7+5×1)/(7+5), (7×6+5×6)/(7+5)]

C(x, y) = (54/12, 72/12)

C(x, y) = (4.5, 6)

Therefore, the point is (4.5, 6).

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Answer:

Step-by-step explanation:

Answer:

{-5, -5, 1, 6}

Step-by-step explanation:

The range is all possible values of y, so the group containing all the y values of the relation is the correct answer. In this case, the answer is {-5, -5, 1, 6}

The Lagrangian for maximizing Will's utility subject to his budget constraint can be written as the correct answer is A. L = xy^4 - λ(12x + 11y - 118).

The Lagrangian for maximizing Will's utility subject to his budget constraint can be written as

L = xy^4 - λ(p_x*x + p_y*y - m),

where x and y are goods, p_x and p_y are the prices of goods x and y respectively, and m is income.
In this case, Will has a Cobb-Douglas utility function, xy^4. His income is $118, the price of x is $12, and the price of y is $11.
To find the Lagrangian for maximizing Will's utility, we substitute the values into the equation:
L = xy^4 - λ(12x + 11y - 118).
Therefore, the correct answer is A. L = xy^4 - λ(12x + 11y - 118).

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Answer:

6

Step-by-step explanation:

5mete the same way you know it is a different person than the difference is that the person you want and you know it would have 6555inches to do in the past year and you know it is not the best in

Answer:

C

Step-by-step explanation:

(4x^2-x+6)-(x^2+3)

First, you can change the second polynomial to make it an addition problem.

(4x^2-x+6)+(-x^2-3)

Then you add them together so 4x^2-x^2=3x^2

-x has nothing to subtract or add so we bring it down

and 6-3=3 making the answer

3x^2-x+3

Answer:

3.14 times 0.10. comes out to be 31.4 .

Step-by-step explanation:

13) The scientific notation is        1.4354125 * 10⁸. 14) The scientific notation is        1.4354125 * 10⁻¹. 15) The scientific notation is 22366.0992. 16) The scientific notation is 1.55 * 10¹⁰.

Let's solve the given expressions and write the answers in scientific notation:

13) \((6.125*10^3) * (2.345*10^4)\)

To multiply the numbers in scientific notation, we multiply the coefficients and add the exponents:

\((6.125 * 2.345) * (10^3 * 10^4) = 14.354125 * 10^(3 + 4) = 14.354125 * 10^7 = 1.4354125 * 10^8\)

\(= 1.4354125 * 10^8\)

14) \((6.1258*10^3) * (2.345*10^{-4})\)

To multiply the numbers in scientific notation, we multiply the coefficients and add the exponents:

\((6.125 * 2.345) * (10^3 * 10^{-4}) = 14.354125 * 10^{3 - 4} = 14.354125 * 10^{-1} = 1.43541258* 10^{-1}\)

\(= 1.4354125 * 10^{-1}\)

15) \(3700.13 * (6.04*10^4)\)

To multiply a decimal number and a number in scientific notation, we simply multiply the decimal by the coefficient of the scientific notation:

3700.13 × 6.04 = 22366.0992

Since the answer does not need to be expressed in scientific notation, the result is 22366.0992.

= 22366.0992

16) \((6.2*10^4) / (0.4*10^{-5})\)

To divide numbers in scientific notation, we divide the coefficients and subtract the exponents:

\((6.2 / 0.4) * (10^4 / 10^{-5}) \\= 15.5 * 10^{4 - (-5}) \\= 15.5 * 10^9 \\= 1.55 * 10^{10}\\= 1.55 * 10^{10}\)

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Answer: 693 students are female

Step-by-step explanation: Calculating fourty-nine point five of one thousand, four hundred. How to calculate 49.5% of 1400? Simply divide the percent by 100 and multiply by the number. For example, 49.5 /100 x 1400 = 693 or 0.495 x 1400 = 693.

Answer:

707 females

Step-by-step explanation:

1400 x 0.495 = 693

Then,

1400 - 693 = 707

707 are girls.

Answer:

Any linear equation with a slope of 1.5

(examples:

Step-by-step explanation:

If two equations are parallel, their slopes are the same.

y=1.5x-6 is written in slope-intercept form, which is:

\(y=mx+b\)

Where m is the slope, and b is the y-coordinate of the y-intercept.

Thus, looking at the equation y=1.5x-6, we can find that m=1.5.

This means that the slope is 1.5.

Think of any equation in this format that uses 1.5 as the slope. Here are a few examples:

The graphs of all of these equations are parallel to the graph of y=1.5x-6 because their slopes are the same.

You can write your own equation using a slope of 1.5.

Significant zeros are zeros that contribute to the precision of a number, while nonsignificant zeros are placeholders or indicate the magnitude of a number.

Significant zeros are zeros that are considered significant and contribute to the precision of a number. They are located between nonzero digits or at the end of a number with a decimal point.

For example:

In the number 4,503, the zeros between 4 and 3 are significant.

In the number 0.00856, the zeros after the decimal point and before the 8 are significant.

Nonsignificant zeros, on the other hand, are zeros that do not contribute to the precision of a number and are used for placeholders or to indicate the magnitude of a number. They are typically located at the beginning or end of a number without a decimal point. Examples include:

In the number 0420, the zero at the beginning is nonsignificant.

In the number 0.003, the zeros before the decimal point is nonsignificant and serve as placeholders.

It's important to note that the significance of zeros can vary depending on the context and the rules of significant figures or decimal places being used in a specific calculation or measurement.

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Answer:

80 ft

Step-by-step explanation:

hey there,

< We know that the rope is 3 pieces long. To make this into an equation, let's just write x + y + z = 150.

Assuming "y" is our second piece, we can tell y = 2x, because it is two times the size of the first piece, which is "x". We also know "z" (our third piece): z = 30.

We can try inputting all the things we know now. x + (2x) + 30 = 150. From here, we can find that x = 40. Since y is our second piece, y = 2x, so 2 x (40) = 80. The second piece would be 80 feet long. >

Hope this helped! Feel free to ask anything else.

Answer:

B.) swap the order of the equations

Answer:

B. 68

Step-by-step explanation:

180-112 = 68

just simple angle addition

crossin my fingers and hoping this helps

The measure of the reference angle for a 122° angle is 68°.

Reference number associated with t is defined as the shortest distance from the x axis to the terminal point t, along a unit circle.

So we have to find the shortest angle that the X axis make with the angle 112 degree.

112 degree lies on the second quadrant.

We know that,

Sum of the angles along the X axis = 180°

Reference angle of 112 degree = 180° - 112°

                                                   = 68°

Hence the reference angle for 112 degree is 68 degrees.

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Answer:The easiest method is to draw a possibility space first. The grid shows the totals for two dice. There are: 6×6=36 possible outcomes. Of these there are 10 totals which are less than 6 .

Step-by-step explanation:

pls give me brainliest and have a good day and night:)

Answer: Top right

Step-by-step explanation:

thank me later

The line is drawn at point A and Point C is a line of symmetry because lines of symmetry make exactly two halves with similar shapes and sizes.

It is defined as the line which will make exactly two halves with similar shape and size in geometry. For a two-dimensional shape, there is a line of symmetry, and for three-dimensional shapes, there is a plane of symmetry. In other words, if we make a mirror image of the shape around the line of symmetry, we will get exactly the same half portion.

We have given a figure in the picture.

The figure is a quadrilateral(a kite)

As we know, lines of symmetry make exactly two halves with similar shapes and sizes.

IF we draw a line from Point A to Point C we will get two similar and figures in size and shape.

Thus, the line is drawn point A and Point C is a line of symmetry because lines of symmetry make exactly two halves with similar shapes and sizes.

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Answer:

point C

Here is a step-by-step explanation of the statement:

1. Draw a point B and a point C on a piece of paper or a computer screen.

2. Draw a straight line that goes through both point B and point C.

3. Fold the paper along the line you just drew, so that the line is the fold line.

4. Notice that if you were to fold the paper exactly in half along the line, point B would match up with its reflection on the other side of the line, and point C would match up with its reflection on the other side of the line.

5. This means that the line you drew is a line of symmetry, because it divides the paper into two identical halves that can be folded together.

6. Therefore, the statement "A line drawn through point B and point C is a line of symmetry" is true.

The probabilities, using the normal distribution, are given as follows:

a) Less than 4.5 minutes: 0.7486 = 74.86%.

b) Less than 2.5 minutes: 0.0228 = 2.28%.

The parameters for the normal distribution in this problem are given as follows:

\(\mu = 4, \sigma = 0.75\)

The z-score formula for a measure X is given as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The probability is item a is the p-value of Z when X = 4.5, hence:

Z = (4.5 - 4)/0.75

Z = 0.67

Z = 0.67 has a p-value of 0.7486.

The probability is item b is the p-value of Z when X = 2.5, hence:

Z = (2.5 - 4)/0.75

Z = -2

Z = -2 has a p-value of 0.0228.

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Lal is less than 675 minutes and (b) is less than 375 minutes.

The given statement is Lal is less than 4.5 minutes and (b) is less than 2.5 minutes.

Let us assume Minoten = 150

Therefore, Lal is less than 4.5 minutes = 150 × 4.5 = 675

and (b) is less than 2.5 minutes = 150 × 2.5 = 375

Therefore, Lal is less than 675 minutes, and (b) is less than 375 minutes.

Note:

Minoten is not used anywhere in the question except for as an additional term in the prompt.

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The value of b for the given function f(x) is found as b = -20.

We are given a function f(x) and we have to find the value of b for which f'(2) = 0.

Given function is f(x) = (2x³ + bx)g(x)

We have to find f'(2), so we will differentiate f(x) w.r.t x.

Here is the step-wise solution:f(x) = (2x + bx)g(x)

Differentiate w.r.t x using product rule:f'(x) = 6x²g(x) + 2x³g'(x) + bg(x)

Differentiate once more to get f''(x) = 12xg(x) + 12x²g'(x) + 2xg'(x) + bg'(x)

Differentiate to get f'''(x) = 24g(x) + 36xg'(x) + 14g'(x) + bg''(x)

Since we have to find f'(2), we will use the first derivative:

f'(x) = 6x²g(x) + 2x²g'(x) + bg(x)

f'(2) = 6(2)²g(2) + 2(2)³g'(2) + b*g(2)

f'(2) = 24g(2) + 16g'(2) + 4b

Now we know g(2) = 4 and g'(2) = -1.

So substituting these values in above equation:

f'(2) = 24*4 + 16*(-1) + 4b

= 96 - 16 + 4b

f'(2) = 80 + 4b

We want f'(2) = 0, so equating above equation to 0:

80 + 4b = 0

Solving for b:

b = -20

Therefore, for b = -20, f'(2) = 0.

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Answer:

G.  210

Step-by-step explanation:

The multiples would be 190, 200, and 210.  These are consecutive and they add up to 600.  The greatest of the three is 210.

Answer:

-½ + (root2 / 2) i + root½ i

Step-by-step explanation:

\( \frac{a}{b} - \frac{c}{d} = \frac{ad - cb}{bd} \)

I used this formula to do it but let me know if it's enough or you have to simplify it further

Answer:

45

Step-by-step explanation:

Answer:

if their was a picture of the graph, i could of answered it.

Step-by-step explanation:

The value of the missing sides are

x = -12

y = 109

z = -102

Consecutive Interior Angles: These are the angles that are on the same side of the transversal and inside the parallelogram. They are supplementary, which means their sum is 180 degrees.

-z + 1 + 77 = 180

-z = 180 - 1 - 77

-z = 102

z = -102

Alternate Interior Angles: These are the angles that are on opposite sides of the transversal and inside the parallelogram. They are also congruent, meaning they have the same measure.

y - 6 = -z + 1

y - 6 = 102 + 1

y = 103 + 6

y = 109

Also

-6x + 5 = 77

-6x = 77 - 5

-6x = 72

x = -12

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