Given: ΔDFE is isosceles with base FE; FB ≅ EC. Prove: ΔDFB ≅ ΔDEC Triangle D F E is shown. 2 lines drawn down from point D to points C and B on the base of the triangle to form 3 triangles. Complete the missing parts of the paragraph proof. We know that triangle DFE is isosceles with base FE and that segment FB is congruent to segment EC because . Segment DF is congruent to segment by the definition of isosceles triangle. Since these segments are congruent, the base angles, angles , are congruent by the isosceles triangle theorem. Therefore, triangles are congruent by SAS.

Answer

so if you got 1 candy bar and your friend took 1 candy bar from you how many candy bars do you have left? 0, you have zero

The two pairs of Adjacent angles in the figure are:

∠1 and ∠3, ∠3 and ∠7.

The correct option is c.

In the given diagram with two intersecting lines and angles ∠1, ∠3, ∠5, and ∠7, the adjacent angle pairs are as follows:

Adjacent angles to ∠1:

∠1 and ∠5

∠1 and ∠3

Adjacent angles to ∠3:

∠3 and ∠1

∠3 and ∠7

Adjacent angles to ∠5:

∠5 and ∠1

∠5 and ∠7

Adjacent angles to ∠7:

∠7 and ∠3

∠7 and ∠5

Adjacent angles are angles that share a common side and a common vertex, where the vertex is the point of intersection between the two lines. In this case, the adjacent angle pairs can be identified based on their relationship to each angle (∠1, ∠3, ∠5, ∠7) and the intersecting lines.

from the given choices,

∠1 and ∠3, ∠3 and ∠7

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Answer:

Step-by-step explanation:

This is a right triangle.....the circumcenter will be at the midpoint of the hypotenuse

The endpoints of the hypotenuse are (-1, -1)   and (5, 1)

So  the midpoint - and circumcenter -  is   [ ( 5 - 1) / 2 , (1 - 1 ) / 2 ]  =  ( 2 , 0)

Answer:

8218.406
Go through the process yourself to make sure my answer is correct

Step-by-step explanation:

The best way to solve these problems is by breaking them up into the difference shapes you see

A. Semi-sphere

The volume of a sphere is \(\frac{4}{3} \pi r^3\). Since we have a semi-sphere, we divide this by 2 and get:

\(V=\frac{4}{6} \pi r^3\\\\V= \frac{4}{6} \pi (12)^3\\\\V=3619.115\)

B. Cone

The volume of a cone is \(\pi r^2\frac{h}{3}\)

\(V = \pi (12)^2\frac{30.5}{3}\\V = 4599.292\)

C. Add

Add these two values:

3619.115 + 4599.292 = 8218.406

Answer:

Step-by-step explanation:

Just use the percentage yan has already placed and fill in the "percent" collum. With that, use the percentage and cinvert it into a fraction. convert the fraction into decimals to get the number of students.

Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

Answer:

\(10\sqrt{2}\)

Step-by-step explanation:

The diagonal of any square with side length \(s\) is equal to \(s\sqrt{2}\). Since the side length of the square is 10, the diagonal must be \(\boxed{10\sqrt{2}}\).

To support and prove this:

The diagonal creates two 45-45-90 triangles, with the diagonal being the hypotenuse of both of these triangles. The Pythagorean Theorem states that in any triangle, the sum of the squares of both legs is equal to the square of the hypotenuse (\(a^2+b^2=c^2\)).

Call the diagonal \(d\). In these two triangles, both legs are equal to 10 (the side lengths of the square), and the hypotenuse is the diagonal. Thus, we have:

\(10^2+10^2=d^2,\\100+100=d^2,\\d^2=200,\\d=\sqrt{200}=\sqrt{100}\cdot \sqrt{2}=\boxed{10\sqrt{2}}\)

Answer:

Step-by-step explanation:

The side making up the top triangle is also 10.

a^2 + b^2 = x^2             Pythagoras

Givens

a = b                              Property of a square

a = 10

b = 10

Solution

10^2 + 10^2 = x^2

100 + 100 = x^2

x^2 = 200

x^2 = 2 * 100

sqrt(x^2) = sqrt(2 * 100)

x = 10*sqrt(2)

The statement "Most MIS's use sophisticated mathematical models or statistical techniques" is generally true.

Management Information Systems (MIS) play a crucial role in modern organizations by providing valuable insights into various aspects of the business.

These systems gather data from different sources and transform it into meaningful information for decision-making purposes.

To make sense of the collected data, MIS rely on sophisticated mathematical models and statistical techniques.

Mathematical models are used to represent real-world situations and relationships mathematically.

These models can range from simple equations to complex algorithms that simulate and predict business processes.

By using mathematical models, MIS can analyze data, identify patterns, and make predictions or projections.

Statistical techniques, on the other hand, provide methods for summarizing and analyzing data to extract meaningful information.

MIS employ statistical techniques such as regression analysis, hypothesis testing, data visualization, and forecasting to uncover insights and support decision-making.

By leveraging these sophisticated mathematical models and statistical techniques, MIS can handle large volumes of data, identify trends and patterns, perform predictive analysis, and provide valuable insights for effective decision-making in areas such as resource allocation, strategic planning, inventory management, and customer behavior analysis.

Therefore, it is safe to say that most MIS's utilize sophisticated mathematical models and statistical techniques to process and analyze data, enabling organizations to make informed decisions based on accurate and meaningful information.

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Answer:

27 spoons of yellow paint

Step-by-step explanation:

Red paint : Yellow paint = 8 : 12

Let 'x' be the number of spoons of yellow paint.

8 : 12 :: 18 : x

Product of extremes = Product of means

8 * x = 12 * 18

     \(x = \frac{12*18}{8}\)

     x = 3 *9

     x = 27 spoons

Answer:27 is awser

Step-by-step explanation:

The constant solutions of the differential equation are any values of y(t) that do not change over time, i.e. y(t) = c, where c is a constant.

The constant solutions of the differential equation are any values of y(t) that do not change over time, i.e. y(t) = c, where c is a constant.

Given a differential equation of y(t), the constant solutions are any values of y(t) that do not change over time. This means that the values of y(t) must remain constant, i.e. y(t) = c, where c is a constant. This means that the constant solutions of the differential equation are any values of y(t) that do not change over time, i.e. y(t) = c, where c is a constant.

The constant solutions of the differential equation are any values of y(t) that do not change over time, i.e. y(t) = c, where c is a constant.

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Answer:

Step-by-step explanation:

we have we know that see the graph

Let

Find the slope B   The slope is positive

so

The graph is increasing in the interval----------> (10, ∞)

Find the slope AB

The slope is negative

so

The graph is decreasing in the interval----------> (-∞,10)

therefore

Answer:

Step-by-step explanation:

1). m³ + 4  

   By substituting m = 4 in the given expression,

   (4)³ + 4 = 68

2). 3r ÷ 2

   By substituting r = 8 in the expression,

   3(8) ÷ 2 = 12

3). 5w²- 3w

   By substituting w = 2 in the expression,

   5(2)² - 3(2) = 20 - 6

                      = 14

4). 7x¹. x⁰

   = 7x(1) [Since, 0 power of any number = 1]

   = 7x

   By substituting x = 3

   7x = 7(3) = 21

part a. )

Side AB:

Length: dAB = √[(2 - 3)² + (7 - 0)²] = √(10) = 3.16

Slope: mAB = (7 - 0) / (2 - 3) = -7

Side AC:

Length: dAC = √[(6 - 3)² + (4 - 0)²] = √(25) = 5

Slope: mAC = (4 - 0) / (6 - 3) = 4/3

Side BC:

Length: dBC = √[(6 - 2)² + (4 - 7)²] = √(20) =  4.47

Slope: mBC = (4 - 7) / (6 - 2) = -3/4

part b.)

some special relationships between the sides of Triangle ABC:

We will  use the distance formula and slope formula.

The distance formula is:

d = √[(x2 - x1)² + (y2 - y1)²]

And the slope formula is:

m = (y2 - y1) / (x2 - x1)

Side AB:

Length: dAB = √[(2 - 3)² + (7 - 0)²] = √(10) ≈ 3.16

Slope: mAB = (7 - 0) / (2 - 3) = -7

Side AC:

Length: dAC = √[(6 - 3)² + (4 - 0)²] = √(25) = 5

Slope: mAC = (4 - 0) / (6 - 3) = 4/3

Side BC:

Length: dBC = √[(6 - 2)² + (4 - 7)²] = √(20)  = 4.47

Slope: mBC = (4 - 7) / (6 - 2) = -3/4

The slopes of sides AB and BC are negative, which indicates  that these sides slope downwards from left to right on the coordinate plane.

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The first number, 5 x \(10^22,\) can be written as 5 followed by 22 zeros:

5,000,000,000,000,000,000,000

To simplify means to make something easier to understand or do by reducing complexity, removing unnecessary details, or using simpler language or concepts.

The second number , 5 × 10², can be written as 5 followed by 2 zeros: 500

The third number, 3.7 x 10⁵³, can be written as 3.7 followed by 53 zeros:

370,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000

or in scientific notation as 3.7 x 10⁵³

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Simplify

2. 5 x 10^22. 5 × 10 2 and 3. 7 x 10^53. 7 × 10 5

Answer:

SAS, because vertical angles are congruent.

Answer:

LOL

Step-by-step explanation:

Answer:

t=-10+2h

Step-by-step explanation:

The length of the displaced threshold for runway 22 at Toledo (TDZ) is 380 feet. Option C) is correct.

A displaced threshοld is a designated pοrtiοn οf a runway where the starting pοint fοr landing aircraft is mοved further dοwn the runway. It is typically marked by white arrοws οr οther markings οn the pavement. The purpοse οf a displaced threshοld is tο create a clear area fοr οbstacles, such as buildings οr terrain, at the beginning οf the runway, allοwing aircraft tο apprοach the runway at a safer pοint.

This can be necessary due tο the presence οf οbstructiοns οr tο meet certain οperatiοnal requirements. When a displaced threshοld is present, the pοrtiοn οf the runway befοre the threshοld is nοt available fοr landing and takeοff οperatiοns.

Displaced threshold is half of clearance,

Therefore, we calculate the clearance and divide it by 2

(1000 - 620) / 2 = 380

Thus, The length of the displaced threshold for runway 22 at Toledo (TDZ) is 380 feet. Option C) is correct.

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Complete question:

(Refer to Figure 63.) What is the length of the displaced threshold for runway 22 at Toledo (TDZ)?

A) 25 feet.

B) 100 feet.

C) 380 feet.

The answer is: for any value of c that is zero or negative, If c is positive, then limt[infinity]y(t) = infinity. If c is zero, then limt[infinity]y(t) = 0. And if c is negative, then limt[infinity]y(t) = 0.

To determine for what values of c the limit of y(t) as t approaches infinity is finite, we need to examine the behavior of the differential equation that defines y(t). Specifically, we need to look at the solution of the differential equation for different initial conditions and see whether the solution tends towards infinity or some finite value as t increases.
The differential equation that defines y (t) is typically written in the form:
dy/dt = f(y)
where f(y) is some function of y. We can think of this equation as describing the rate at which y is changing as a function of time. If f(y) is a positive function, then y will increase over time, and if f(y) is negative, then y will decrease over time. If f(y) is zero, then y will remain constant over time.
To see how the solution of the differential equation behaves for different initial conditions, we can use the method of separation of variables. Specifically, we can write the differential equation as:
dy/f(y) = dt
and integrate both sides with respect to their respective variables:
dy/f(y) = ∫ dt
This gives us:
ln|y| = t + C
where C is the constant of integration. Solving for y, we ge
y = Ce^t
where C = y(0) is the initial condition.
We can now see that the behavior of the solution depends on the value of C. If C is positive, then y will tend towards infinity as t increases since et grows exponentially. If C is zero, then y will remain constant over time. And if C is negative, then y will tend towards zero as t increases since et decreases exponentially.
So, The answer is: for any value of c that is zero or negative, If c is positive, then limt[infinity]y(t) = infinity. If c is zero, then limt[infinity]y(t) = 0. And if c is negative, then limt→[infinity]y(t) = 0.

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Answer:

Yes, it is c

Step-by-step explanation:

Because there are 5 seashells in p packages, you can do 5p to represent the total. There are 6 fewer sea shells, so it would be 5p-6 to represent the new situation.

Based on the information given, the equation to represent the situation is 5p - 6.

The information given is that there are six fewer seashells than the total number of seashells in p packages, each of which has five seashells.

Therefore, the equation will be:

= (5 × p) - 6

= 5p - 6.

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Answer:

4

Step-by-step explanation:

substitute 4 and 0 into the equation so it becomes ax4 + 5x0 = 16

5x0 = 0

16/4 = a = 4

Answer:

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

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

Each ream of paper costs $5.54 and each DVD costs $1.96.

To determine the cost of each ream of paper and each DVD, we can use a system of equations. Let x be the cost of one ream of paper and y be the cost of one DVD. Then we can write:

17x + 12y = 117.5
8x + 21y = 86

To solve for x and y, we can use elimination or substitution. I'll use substitution here:

From the first equation, we can solve for x in terms of y:

17x + 12y = 117.5
17x = 117.5 - 12y
x = (117.5 - 12y) / 17

Then we can substitute this expression for x into the second equation and solve for y:

8x + 21y = 86
8((117.5 - 12y) / 17) + 21y = 86
(940 - 96y) / 17 + 21y = 86
940 - 96y + 357y = 1452
261y = 512
y = 1.96

Now we can substitute this value for y into either of the original equations to solve for x:

17x + 12y = 117.5
17x + 12(1.96) = 117.5
17x = 94.28
x = 5.54

Therefore, each ream of paper costs $5.54 and each DVD costs $1.96.

In summary, we can solve for the cost of each item by setting up a system of equations and using substitution to solve for the variables. In this case, we found that each ream of paper costs $5.54 and each DVD costs $1.96. This method can be used to solve for unknown variables in many different types of problems.

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The minimum number of carrots to cut up for which it will be faster to use a food processor than the knife and cutting board is 11.

In order to find the minimum number of carrots to cut up for which it will be faster to use a food processor than the knife and cutting board, we need to calculate the time taken by each method and then compare it. Let's say the minimum number of carrots is x.

Here's how we can calculate the time taken to chop x carrots:

Time taken using knife and cutting board = 45x + 25 (25 is added for the time taken to clean the knife and board)

Time taken using food processor = 12x + 360 (360 is added for the time taken to clean the food processor)

Now, we need to find the value of x for which the time taken using the food processor is less than the time taken using the knife and cutting board.

So,12x + 360 < 45x + 2512x - 45x < 25 - 360-33x < -335x > 10.15

Therefore, the minimum number of carrots to cut up for which it will be faster to use a food processor than the knife and cutting board is 11.

Thus, the minimum number of carrots to cut up for which it will be faster to use a food processor than the knife and cutting board is 11.

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Answer:

f^-1(x)=3x

Step-by-step explanation:

y=x/3

to get the inverse function, exchange x and y,

x=y/3

solve for y, y=3x

f^-1(x)=3x

Answer:

X >4 x − 21

Step-by-step explanation:

Answer:

<5 and <7= 56 degrees

Step-by-step explanation:

for <5: 180-124=56

<7 is equal to <5

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