Which two triangles are congruent by the SAS Theorem? Complete the congruence
statement

Answer:

Hey there!

The correct answer would be a rectangle.

Answer:

Hey!

Your answer is definitely RECTANGLE!

Step-by-step explanation:

Hope this helps!

Answer:

17 Which means they are equal

All you have to do is replace n in the equasion.

Step-by-step explanation:

3(5) - 1(5) + 7

=17

2(5) + 10 - 3

=17

Answer:

It will take 3 weeks for both of us to have collected  the same amount. Each of us will have collected 23 items at that  time.

Step-by-step explanation:

Let x=weeks

Me: y=14+3x

Friend: y=8+5x

14+3x=8+5x

14=8+2x

6=2x

3=x

y=14+3(3)=23

DM is congruent to line CM because CDM is congruent to triangle CBM using the SAS congruence criteria for triangles.

Draw a diagram of the rectangle ABCD with M as the midpoint of AB. Draw lines CM and DM ( refer to the attached image). Since AB is a line segment, we know that AM is congruent to MB (because M is the midpoint of AB). Since ABCD is a rectangle, we know that AB is parallel to CD, and AD is parallel to BC. Thus, we have two pairs of parallel lines: AB and CD, and AD and BC.

Using the fact that opposite sides of a rectangle are congruent, we have CD = AB. Now, we have a pair of congruent sides (DM and CM) that are opposite each other in triangle CDM and CBM respectively. We also have another pair of congruent sides (CD and AB) that are opposite each other in both triangles. Finally, we know that the angle CMD is congruent to the angle CMB because they are vertical angles. By the Side-Angle-Side (SAS) congruence criterion, we can conclude that triangle CDM is congruent to triangle CBM.

Therefore, line DM is congruent to line CM by SAS congruence criteria.

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The equation 2 = -x√(x + 2) - x has two potential solutions: x = -1 and x = -8. However, x = -8 does not satisfy the equation, so the set of all solutions is {x = -1}.

To find the set of solutions to the equation 2 = -x√(x + 2) - x, we can solve it algebraically.

Starting with the given equation, we can simplify it step by step:

2 = -x√(x + 2) - x

Adding x to both sides:

2 + x = -x√(x + 2)

Squaring both sides to eliminate the square root:

(2 + x)^2 = (-x√(x + 2))^2

Expanding and simplifying:

4 + 4x + x^2 = x^2(x + 2)

Simplifying further:

4 + 4x = x^3 + 2x^2

Rearranging terms:

x^3 + 2x^2 - 4x - 4 = 0

Factoring the equation:

(x + 1)(x^2 + x - 4) = 0

Setting each factor to zero:

x + 1 = 0 or x^2 + x - 4 = 0

Solving the first equation, we find x = -1.

For the second equation, we can use the quadratic formula:

x = (-1 ± √(1^2 - 4(1)(-4))) / (2(1))

x = (-1 ± √(1 + 16)) / 2

x = (-1 ± √17) / 2

However, when we substitute x = (-1 + √17) / 2 into the original equation, it does not satisfy the equation. Therefore, x = -8 is not a solution.

Hence, the set of all solutions to the equation is {x = -1}.

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Answer: 75%

Step-by-step explanation:

12+2+2= 16

12 wins/16 matches = 75%

Answer: 45 minutes for BOTH workouts

Step-by-step explanation:

Let time for plan a be x

Let time for plan b be y

On Wednesday

# of clients for plan a are 5

# clients for plan b are 3

On Thursday

# of clients for plan a are 7

# of clients for plan b are 9

Wednesday eqn --> 5x+3y=6

Thursday eqn --> 7x+9y=12

Multiply Wednesday equation by -3 and use elimination to solve

-15x-9y=-18

7x+9y=12

-8x=-6

x=6/8

Reduce: x=3/4 hour

Substitute x=3/4 into Thursday equation

7(3/4)+9y=12

9y=27/4

y=3/4

Therefore, the length of BOTH the plan a and plan b workouts were 45 minutes

By using the quadratic formula, the solution to this quadratic equation is equal to -0.5251 or -3.8081.

In Mathematics, a quadratic equation can be defined as a mathematical expression that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

Mathematically, the quadratic formula is modeled or represented by this mathematical expression:

\(x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}\)

From the information provided, we have the following values;

3x² + 13x + 4 = 0

Where:

a = 3

b = 13

c = 4

Substituting the values into the quadratic formula, we have the following;

\(x = \frac{-(13)\; \pm \;\sqrt{(13)^2 - 4(3)(13)}}{2(3)}\\\\x = \frac{-13\; \pm \;\sqrt{169 - 72}}{6}\)

x = (-13 + √97)/6

x = -0.5251 or -3.8081.

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The probability of producing at least 232,000 barrels is 0.5.

The standard normal distribution table, also known as the z-table, is a table that provides the probabilities for a standard normal distribution, which has a mean of 0 and a standard deviation of 1.

The table lists the probabilities for values of the standard normal distribution between -3.49 and 3.49, in increments of 0.01.

Here we have

Daily output of marathon's garyville, louisiana, refinery is normally distributed with a mean of 232,000 barrels of crude oil per day with a standard deviation of 7,000 barrels.

Since the daily output of the refinery is normally distributed,

we can use the standard normal distribution to calculate the probability of producing at least 232,000 barrels.

First, we need to standardize the value using the formula:

=> z = (x - μ) /σ

where:

x = value we want to calculate the probability for (232,000 barrels)

μ = mean (232,000 barrels)

σ = standard deviation (7,000 barrels)

=> z = (232000 - 232000) / 7000 = 0

Next, we look up the probability of producing at least 0 standard deviations from the mean in the standard normal distribution table.

This value is 0.5.

Therefore,

The probability of producing at least 232,000 barrels is 0.5.

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The density of the piece of form will be 0.14 g/cm³.

Density is defined as the ratio of the mass of the object to the volume of the object. It does not depend upon the whole mass it only depends upon the mass per unit volume.

Volume is defined as the space occupied by the object in the three-dimensional space.

Given that a piece of foam padding has a volume of 1,500 cm³ and a mass of 200 g.

The density of the foam will be calculated as,

D = mass / Volume

D = 200 / 1500

D = 0.1333333333 or 0.14 g/cm³

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Answer:

It would be 6x - y = 3.

Answer:

14m + 5

Step-by-step explanation:

Answer:

14m+5

Step-by-step explanation

combining like terms when you add

11m + 3m

and

1 + 4

Answer: 65%

Step-by-step explanation:

The organization sent out 640 invitations.

416 out of this 640 attended the fundraiser.

The percentage who attended is:

= 416/ 640

= 0.65

= 65%

The standard form of the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3) is (2x - y = -1)

To determine the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3), we can follow these steps:

1. Obtain the slope of the provided line.

To do this, we rearrange the equation (3x + 6y = 5) into slope-intercept form (y = mx + b):

6y = -3x + 5

y =\(-\frac{1}{2}x + \frac{5}{6}\)

The slope of the line is the coefficient of x, which is \(\(-\frac{1}{2}\)\).

2. Determine the slope of the line perpendicular to the provided line.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the provided line.

So, the slope of the perpendicular line is \(\(\frac{2}{1}\)\) or simply 2.

3. Use the slope and the provided point to obtain the equation of the perpendicular line.

We can use the point-slope form of a line to determine the equation:

y - y1 = m(x - x1)

where x1, y1 is the provided point and m is the slope.

Substituting the provided point (1, 3) and the slope 2 into the equation, we have:

y - 3 = 2(x - 1)

4. Convert the equation to standard form.

To convert the equation to standard form, we expand the expression:

y - 3 = 2x - 2

2x - y = -1

Rearranging the equation in the form (Ax + By = C), where A, B, and C are constants, we obtain the standard form:

2x - y = -1

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The missing length s in the triangle is 64736.

We are given that;

The triangle with shaded region area= 952yd2

Now,

By substituting the values in the area formula;

952=1/2 * s * h

952=1/2 * s * 34

s= 952 * 34 * 2

s= 64736

Therefore, by area the answer will be 64736.

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Answer: 1 * 10^9

Step-by-step explanation:

1*10^9 = 1,000,000,000, which is the closest you can get.

Hope it helps <3

Answer:

g(x) = 3x2

g(x) = 16x

g(x) = 19x

Explanation:

Assuming that you're referring to f(x) = (13)2x, without much context, I'm going to assume that any of the ax + b, are going to be wrong. The the process of elimination, the only ones left are just x and a coefficient.

Hope that helps!

True, a vector in Fn can be regarded as a matrix in Mn×1(F).

In linear algebra, a vector is an ordered list of numbers, and it can be represented as a matrix with a single column. In other words, a vector in Fn, where n is the number of components in the vector, can be thought of as a matrix with n rows and 1 column, denoted as Mn×1(F). The "M" represents the number of rows, "n" represents the number of components in the vector, "1" represents the number of columns, and "(F)" indicates that the entries of the matrix are elements from the field F.

Therefore, a vector in Fn can be considered as a matrix in Mn×1(F).

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Based on the text, the primary source of primate endangerment today is habitat destruction.

Habitat destruction is considered the primary source of primate endangerment based on various factors mentioned in the text. Primates, like many other species, heavily rely on their natural habitats for survival, including food, shelter, and breeding. However, human activities such as deforestation, urbanization, and land conversion for agriculture or infrastructure development have significantly reduced and fragmented primate habitats.

Habitat destruction leads to the loss of critical resources and disrupts the ecological balance necessary for primate populations to thrive. As their habitats shrink, primates face increased competition for limited resources, reduced access to food and water sources, and decreased opportunities for successful reproduction and rearing of offspring. This loss of habitat also exposes primates to increased vulnerability to predation, disease transmission, and human-wildlife conflicts.

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The graph of the water level, relative to the pier, at time t (in hours) can be represented by the formula f(t) = -8sin(πt/3) - 18, where f(t) denotes the water level in feet.

1. Given that at high tide, the water level is 10 feet below the pier, and at low tide, the water level is 26 feet below the pier.

2. The water level follows a sinusoidal behavior, indicating a sine function will be used to represent the graph.

3. Let's consider the sine function: y = A sin(B(t - C)) + D, where A represents the amplitude, B is the frequency, C is the horizontal shift, and D is the vertical shift.

4. Since the water level goes from 10 feet below the pier (high tide) to 26 feet below the pier (low tide), the amplitude of the sine function is (26 - 10) / 2 = 8.

5. The period of the sine function is the time it takes to go from one high tide to the next. Given that the first low tide occurs at t = 3, the period is 3 hours. Therefore, the frequency B = 2π / 3.

6. The horizontal shift C is 0 because the first low tide occurs at t = 3, and the starting point is at t = 0.

7. The vertical shift D is -18 because at t = 0, the water level is -18 feet.

8. Combining the information from steps 4, 5, 6, and 7, the formula for f(t) is f(t) = 8sin(πt/3) - 18, which represents the water level relative to the pier at time t in feet.

9. Sketching the graph using this formula will give a visual representation of the water level at any given time.

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Juxtaposition refers to the act of placing two or more objects or elements close to each other for the purpose of comparison, contrast, or creating a specific effect. Objects that are juxtaposed are "near each other." (Option B)

It suggests that the objects are positioned in close proximity or are adjacent to one another. Option A, "in a circle," does not accurately describe juxtaposition as it refers to objects arranged in a circular shape, rather than their proximity to each other. Option C, "far from each other," is the opposite of juxtaposition as it implies a significant distance between the objects. Option D, "in a triangle," refers to objects arranged in a triangular shape and does not capture the concept of proximity.

Therefore, the correct answer is Option B, "near each other," which accurately reflects the idea of objects being juxtaposed. Juxtaposition can occur in various contexts, such as in art, literature, design, or everyday situations where objects are deliberately placed in close proximity to create a visual or conceptual impact.

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The value of function, f(t) for L⁻¹ ( e−s /(s²+ 1)) is equals to sin( t - π ) u(t-π) .

The Laplace transform is the essential term of the given derivative function. Moreover, it comes with a real variable (t) for converting into complex function with variable (s). For ‘t’ ≥ 0, let ‘f(t)’ be given, the Laplace transform of ‘f(t)’, denoted by 'L{f(t)}' or ‘F(s)’ is definable with the equation:

\( L(f(t)) = F(s) = ₀∫^{ \infty } e⁻ˢᵗ f(t)dt\)

we have L⁻¹ ( e−s /(s²+ 1))

Now, L⁻¹ (1 /(s²+ 1)) = sin(t)

so, L⁻¹ ( e−s /(s²+ 1)) = sin( t - π ) u(t-π)

where u(t-π) is unit of step function.

so, required function f(t) is sin( t - π ) u(t-π).

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Complete question:

Find f(t) ℒ−1 (e−s /(s²+ 1))

f(t)=? + (?) (t - ?)

Answer:

r≈3.95in

Step-by-step explanation:

Answer:

1. 19.375 inches taller

2. 8.808 km farther

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.19.375

2.8.808

for the reasoning you just show that you subtracted

Answer:

81

Step-by-step explanation:

Answer:

i would go with B

Step-by-step explanation:

I'm not too sure I'm so sorry but thats my closest guess

Answer:

B

Step-by-step explanation:

-4y-3<9

-4y<12

y<-3

==> B

Answer:

Shown below.

Step-by-step explanation:

Test Marks          Tally          Frequency          Percentage

1                                                    8                   8/60 = 0.133

2                                                   6                   6/60 = 0.100

3                                                   5                   5/60 = 0.083

4                                                   5                   5/60 = 0.083

5                                                   5                   5/60 = 0.083

6                                                   8                   8/60 = 0.133

7                                                   6                   6/60 = 0.100

8                                                   7                   7/60 = 0.116

9                                                   4                   4/60 = 0.066

10                                                 5                   5/60 = 0.083

Total                                            59                 59/60 = 0.983

For the Tally section, I believe you just fill in tally marks corresponding to the frequency. One of the observations in the table is 0, which is not a column in the frequency table.

Answer:

Option D

Step-by-step explanation:

Fractions are considered to be rational numbers because they are decimals that can be written as a fraction and since it's already wrote as a fraction but can be converted back to a decimal it is a rational number. The fraction is considered to be a real number because all rational numbers are real numbers and since we just proved that 5/8 is a rational number it is therefore a real number. Which means your answer is option D or "rational numbers, real numbers."

Hope this helps.