Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why AADCH ADEP
Check all that apply

A. LA
B. MAS
C. HL
D. HA
E. SAS
F. LL

Answer: y = 12.6

Step-by-step explanation:

Since x = 2 and y = 6.3 * x, y = 6.3 * 2.

6.3 * 2 is equal to 12.6, so y is 12.6.

Answer:

y = 12.6

Step-by-step explanation:

y = 6.3x                     x = 2

Solve for y.

y = 6.3(2)

y = 12.6

So, the answer is 12.6

Answer:

D

Step-by-step explanation:

Edge 2020

The time taken by the barnacle to get back to its starting point is A = 2π seconds

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the radius of the circle be represented as r

Now , the value of r = 1 m

And , the boat is traveling at a rate of 1 m/s

where the total path of the barnacle = circumference of the circle

So , the time taken by the barnacle to get back to its starting point A = circumference of the circle / speed of the boat

On simplifying , we get

The circumference of the circle = 2πr = 2π meters

The time taken by the barnacle to get back to its starting point A = ( 2π / 1 )

The time taken by the barnacle to get back to its starting point A = 2π seconds

Therefore , the value of A is 2π seconds

Hence , the time taken for the circular path is 2π seconds

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The complete question is attached below :

The boat is traveling at a rate of 1 meter per second. How long does it take the barnacle to get back to its starting point?

Answer:

A. 12/25

B. 96 pieces

Step-by-step explanation:

A. For this, Ida got 12/25 lemon taffies, therefore the probability is the same.

B. The ratio of lemon to other taffies is 12/25. This means that for every 25 pieces of taffy, 12 of them are lemmon. If you multiply the numerator and denominator by 8, you get 96/200, which says that out of 200 pieces, 96 should be candy.

Answer:

i believe its 3/4

Step-by-step explanation:

i took the test on edge 2021

Answer:

A

Step-by-step explanation:

Using the properties of logarithms, we can simplify the expression:

4 log3x + 6 log3y - 7 log3z = log3x^4 + log3y^6 - log3z^7

Now, we can use another property of logarithms, which states that:

loga (mn) = loga m + loga n

Using this property, we can combine the logarithms with addition or subtraction:

log3x^4 + log3y^6 - log3z^7 = log3(x^4 * y^6 / z^7)

Therefore, the simplified form of 4 log3x + 6 log3y - 7 log3z is log3(x^4 * y^6 / z^7).

Answer:

Step-by-step explanation:

At equilibrium price and quantity, the answer is 1. The quantity supplied equals the quantity demanded.

This means that the market is in a state of balance, where the quantity of a good or service that producers are willing to supply is exactly the same as the quantity that consumers are willing to buy. As a result, there is no excess supply or excess demand, and the price of the good or service is stable.

Answer:

139 ( D )

Step-by-step explanation:

Interest rate on loan = 4% = 0.04

Number of payments = 15

First 10 payments = 100 each

last 5 payments = 200 each

Calculating the value of K

K = [ ( 100 / 0.04 * ( 1-1 / 1.04^10 ) + 200/0.04 * ( 1-1 / (1 +0.04)^5)*  1 /1.04^10)

*  1.1 - 100 / 0.04 * ( 1-1 / (1+0.04)^5 ) - 200/0.04 * (1-1 /1.04^5) * 1/1.04^10)*0.04 / ( 1-1 / 1.04^5) * (1 + 0.04)^5

= 138.6051 ≈ 139

To find the area of the combined rectangles, we need the dimensions (length and width) of each rectangle. However, the provided text and numbers do not seem to correspond to a clear description of the rectangles or their dimensions. Could you please provide more specific information or clarify the question?

Answer:

If insulin levels are high, the liver absorbs the glucose & changes it into glycogen.

Answer:

a) 910

b) 828100

c) 144320

Step-by-step explanation:

a. ∑y

This is the sum of all values of y. So

\(\sum y = 216 + 184 + 35 + 92 + 142 + 175 + 9 + 57 = 910\)

b. (∑y)^2

This is the square of the sum, so the square of 910, that we found in the previous item.

910² = 828100

c. ∑y^2

This is the sum of the squares of each amount spent. So

\(\sum y^2 = 216^2 + 184^2 + 35^2 + 92^2 + 142^2 + 175^2 + 9^2 + 57^2 = 144320\)

Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

Step-by-step explanation:

quarter circle means that you just find the are and then divide it by 4.

hence,

(3.14 × 8²) ÷ 4 = answer

the answer is 50.24 cm²

hope this helps.

Answer: 6.28

Step-by-step explanation: In order to get your answer, the equation that you need to do is 8 X 3.14 / 4 to get your answer.

Steve is correct. Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0.

By using a number line, Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0. One temperature is negative and the other is positive, but by adding their distances, he can find the difference. Kelly's method of subtracting -5.1 from the temperature at 12 PM on Wednesday is not necessarily incorrect, but it does not give the exact difference in temperature between the two times. Therefore, using Steve's method, the change in temperature would be the sum of the distance from 0 to the temperature at 7 AM (which is 2.5) and the distance from 0 to the temperature at 12 PM (which is also 2.5), resulting in a difference of 5 degrees.

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Answer:  if with 3.14 v= 37512.5333

if with pi v= 37531.56

Step-by-step explanation:

the formula is 1/3hπr^2

r= 2d so radius is 32

plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)

Answer:

To prove that tan A = 12/5, we can use the identity that relates the sine and cosine of an angle to its tangent:

tan A = sin A / cos A

We are given that 0.5 * cos A = 13, so cos A = 26.

Substituting this value into the identity above, we get:

tan A = sin A / 26

We are also given that 12 sec A = 13, so sec A = 13/12 = 1.083333.

The reciprocal of sec A is cosec A, so cosec A = 1/1.083333 = 0.9230769.

The sine of an angle is the reciprocal of the cosecant of the angle, so sin A = 1/0.9230769 = 1.083333.

Substituting this value into the identity tan A = sin A / cos A, we get:

tan A = 1.083333 / 26 = 12/5

Therefore, tan A = 12/5.

Answer:

80

Step-by-step explanation:

These angles are alternate exterior angles and alternate exterior angles are equal when the lines are parallel

12x+8 = 13x+2

Subtract 12x from each side

12x+8-12x = 13x+2-12x

8 = x+2

subtract 2 from each side

8-2 =x

6 =x

Find the measure of the angle

12x+8

12*6+8

72+8

80

Answer:

C

x1=2

-2(2)+1=3

which is the answer for y1

Based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid.

The teacher surveyed his homeroom class about their post-graduation plans. He found out that most of his students plan to become soldiers.

An inference is a conclusion that can be drawn from a given set of data. In this case, the inference that can be made is that a significant number of students in the homeroom class plan to become soldiers.Therefore, the inference is valid based on the data provided.

However, it is essential to keep in mind that the sample size in the homeroom class is relatively small and may not be representative of the entire population. If the teacher had surveyed a more extensive and diverse population, the results might have been different.

In conclusion, based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid. However, this may not apply to the entire population, and it is crucial to consider the sample size when drawing inferences.

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The domain of the function f(x) = -3x³ + 2x² - 5 is (-∞, ∞).

What is domain?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it may take as input. After we enter an x value, the function outputs this sequence of values.

The domain of a function is the set of input or argument values for which the function is real and defined

The function has no undefined points nor domain constraints. Therefore, the domain is \($$-\infty < x < \infty$$\).

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Answer:

x + 5 + 5x + 10 + 2y = 6x + 2y + 15

Step-by-step explanation:

Group like terms

= x + 5x + 2y + 5 + 10  

Add the number 5 + 10 = 15  

= x + 5x + 2y + 15

Add similar elements x + 5x = 6x  

= 6x + 2y + 15

Have a good day :)

The value of x in the parallelogram is 112°.

In a parallelogram, adjacent angles are always supplementary. This means that the sum of two adjacent angles in a parallelogram is always 180 degrees.

To understand this concept, let's consider a parallelogram ABCD. The opposite sides of a parallelogram are parallel and equal in length, and the opposite angles are congruent. Adjacent angles are those that share a side. Let's say angle A and angle B are adjacent angles in the parallelogram.

Since opposite angles of a parallelogram are congruent, we have angle A is congruent to angle C, and angle B is congruent to angle D.

Now, let's consider angle A and angle B. The sum of angle A and angle B is equal to the sum of angle C and angle D because opposite angles are congruent.

Therefore, we can conclude that angle A + angle B = angle C + angle D = 180 degrees.

This property holds true for all parallelograms. So, in any parallelogram, the adjacent angles are always supplementary, meaning their sum is 180 degrees.

For the given question, we know x° + 68° = 180°.

Then x° = 180° - 68°

x° = 112°

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Answer:

step by step explanation:

1. 9 4. -12

2. -48 5. 0

3. 17 6. 1

A statement, rule, or regulation that establishes the relationship between an independent variable and a dependent variable is known as a function.

A network can be represented mathematically as a graph, which explains the connection between lines and points. A graph consists of some points with connecting lines.

Consider the function,

\(f(x)=\frac{||x||+2}{2}\) and 0 ≤ x ≤ 6

To graph the function we will find the points on the graph for different values of x.

When x = 0,

\(f(x)=\frac{||x||+2}{2}\)

\(f(x)=\frac{||0||+2}{2}=1\)

When x = 1,

\(f(x)=\frac{||x||+2}{2}\)

\(f(1)=\frac{||1||+2}{2}\\ f(1)=\frac{3}{2}\)

When x = 2,

\(f(x)=\frac{||x||+2}{2}\)

\(f(2)=\frac{||2||+2}{2}\)

\(f(2)=2\)

When x = 3,

\(f(x)=\frac{||x||+2}{2}\)

\(f(3)=\frac{||3||+2}{2}\)

\(f(3)=\frac{5}{2}\)

When x = 4,

\(f(x)=\frac{||x||+2}{2}\)

\(f(4)=\frac{||4||+2}{2}\\ f(4)=3\)

When x = 5,

\(f(x)=\frac{||x||+2}{2}\)

\(f(5)=\frac{||5||+2}{2}\)

\(f(5)=\frac{7}{2}\)

When x = 6,

\(f(x)=\frac{||x||+2}{2}\)

\(f(6)=\frac{||6||+2}{2} \\f(6)=4\)

Therefore, the points on the graph of the function \(f(x)=\frac{||x||+2}{2}\) are ( 0, 1 ), ( 1, ( 3/2 ) ), ( 2, 2 ), ( 2, ( 5/2 ) ), ( 4, 3 ), ( 5, ( 7/2 ) ), and ( 6, 4).

Hence, the graph of the function is:

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Answer:

C. 3x^2 -6

Step-by-step explanation:

f(x) = 2x^2 +1

g(x) = x^2 -7

(f+g)(x) is simply the sum of the above functions.

(f+g)(x) = 2x^2 +1 + x^2 -7 = 3x^2 -6

Answer:

651

Step-by-step explanation:

f(x) = 5×3 + 2×2

35x

14

= 5×3 = 15

= 2×2 = 4

= 15 + 4

= 19

35(19) - 14

= 665 - 14

= 651

Using a standard normal distribution table, we find that the probability is approximately 0.0134 (rounded to four decimal places).

Probability is a measure of the likelihood or chance that a particular event or outcome will occur. It is expressed as a value between 0 and 1, where 0 represents an event that is impossible to occur, and 1 represents an event that is certain to occur.

To solve this problem, we can use the formula for the standard deviation of the sample mean:

Standard deviation of sample mean = standard deviation / √(sample size)

Plugging in the given values:

Standard deviation of sample mean = 7 / √(31)

Next, we can calculate the z-score, which is the number of standard deviations the sample mean is below the population mean:

z-score = (sample mean - population mean) / standard deviation of sample mean

Plugging in the given values:

z-score = (141.5 - 145) / (7 / √(31))

Using a calculator, we find that the z-score is approximately -2.22.

Finally, we can use a standard normal distribution table or a calculator to find the probability that a z-score is less than -2.22.

Using a standard normal distribution table, we find that the probability is approximately 0.0134 (rounded to four decimal places).

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a) The definition of the composite function is: \((f \circ g)(x) = \frac{6}{12 + 2x}\)

b) The domain of the composite function is: (-∞, -6) U (-6, -2) U (-2,0) U (0, ∞).

The composite function of f(x) and g(x) is given by the function rule presented as follows:

(f ∘ g)(x) = f(g(x)).

For the composition of two functions, we have that the output of the inner function, which in this example is given by g(x), serves as the input of the outer function, which in this example is given by f(x).

The functions for this problem are given as follows:

Hence the composite function is obtained as follows:

\((f \circ g)(x) = f(\left\frac{6}{x}\right)\)

\((f \circ g)(x) = \frac{\frac{6}{x}}{\frac{6}{x} + 2}\)

\((f \circ g)(x) = \frac{\frac{6}{x}}{\frac{12 + 2x}{x}}\)

\((f \circ g)(x) = \frac{6}{12 + 2x}\)

The domain is all real values except x = 0, x = -2 and x = -6, as f(x) is not defined at x = -2 and g(x) is not defined at x = 0 and the composite function is not defined at x = -6, hence the interval notation is:

(-∞, -6) U (-6, -2) U (-2,0) U (0, ∞).

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Answer:

y = 5/4x - 8

Step-by-step explanation:

first you convert the equation to y = mx + b

then you add the the -8 into the x and the 2 into the y and solve for b

b = -8 and since it is parallel same slope.

hope this helps :)

Answer:

10000

Step-by-step explanation:

100 hugs x 100 hugs

= 10,000 hugs.