Find RS 2x+15 3x+5 6x-37

answer:

y=4

Step-by-step explanation:

given

DG=GF

10y-4=7y+8

3y-4=8 (subtract both side by 7y)

3y=12 (add both side by 4)

y=12/3

y=4 (ans)

The co-terminal angle to 5π/6 in the unit circle is C. 17π/6

Co-terminal angles in a unit circle are angles that share the same terminal point

Given the angle 5π/6, we desire to find the angle that shares the same terminal point in the unit circle. We proceed as follows.

We know that x = 5π/6 + 2π

Taking the L.C.M which is 6, we have that

x = (12π + 5π)/6

x = 17π/6

So, the angle is C. 17π/6

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Answer:

dumb dumb

Step-by-step explanation:

Answer:

Step-by-step explanation:

M is less than or equal to 1

The Renaissance period is primarily known for its artists rather than its political and religious leaders due to the contributions of famous figures like Leonardo da Vinci, Michelangelo, and other renowned artists.

During the Renaissance, there was a significant shift in the cultural and intellectual landscape of Europe. This period marked a revival of interest in the arts, sciences, and humanism, emphasizing the potential and achievements of human beings. Artists such as Leonardo da Vinci and Michelangelo played pivotal roles in this cultural transformation by creating iconic works of art that captured the spirit and values of the era.

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The point x = 0 is a singular point of the differential equation p(x) y + q(x) y' + r(x) y'' = 0.

We are given that y = x and y = x^2 are solutions of the differential equation p(x) y + q(x) y' + r(x) y'' = 0. Let us differentiate both of these solutions with respect to x:

y = x --> y' = 1

y = x^2 --> y' = 2x

Now, substitute these expressions for y and y' into the differential equation:

p(x) y + q(x) y' + r(x) y'' = 0

p(x) x + q(x) 1 + r(x) 0 = 0 (substituting y = x and y' = 1)

p(x) x + q(x) 2x = 0 (substituting y = x^2 and y' = 2x)

Simplifying the last equation, we get:

x( p(x) + 2q(x) ) = 0

We know that x = 0 is a solution to this equation, since both y = x and y = x^2 satisfy the differential equation at x = 0. Therefore, x = 0 is a singular point of the differential equation.

Therefore, the point x = 0 is a singular point of the differential equation p(x) y + q(x) y' + r(x) y'' = 0, since it satisfies the differential equation and both given solutions at x = 0

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The method used to prove the specified equations in the questions based on similar triangle properties are presented as follows;

3. ΔABC ~ ΔABD, indicates, AC/AB = AB/AD, therefore; AC · AD = (AB)²

4. ΔPQR ~ ΔBDR, and ΔPCQ ~ ΔABC, therefore; CP/CA = PQ/PD = PR/RD

CP/CA = PR/RD

5. ΔFXY ~ ΔFDG and ΔFXZ ~ ΔFGE, therefore; XY/DG = FY/FG = YZ/GE

XY/DG = YZ/GE

Similar triangles are triangles, A and B in which two interior angles of a triangle A are congruent to two interior angles of a triangle B, the lengths of the sides of the triangles may be different.

3. ∠1 ≅ ∠C

The reflexive property indicates that angle ∠A is congruent to itself, therefore; ∠A ≅ ∠A

Therefore, triangle ΔABC and triangle ΔABD are similar by Angle-Angle, AA similarity postulate.

Correponding parts of similar triangles are proportional, therefore; \(\frac{AC}{AB} = \frac{AB}{AD}\)

Cross multiplying, we get;

AC × AD = AB × AB = (AB)²

Therefore; AC × AD = (AB)²

4. The segment  \(\overline{PQ}\) and \(\overline{AD}\) are parallel (\(\overline{PQ}\) ║ \(\overline{AD}\))

\(\overline{AB}\) ≅ \(\overline{BD}\), therefore;

\(\overline{AB}\) = \(\overline{BD}\) (definition of congruency)

∠PRQ ≅ ∠BRD (Vertical angle theorem)

∠PQR ≅ ∠DBR (Alternate interior angles theorem)

ΔPQR is similar to ΔBDR by Angle-Angle, AA similarity postulate

∠PQC ≅ ∠ABC (Same side angles theorem)

∠C ≅ ∠C (reflexive property of congruency)

Triangle ΔPCQ is aimilar to ΔABC by AA similarity postulate

CP/CA = PQ/AB

PQ/AB = PQ/BD (by substitution property)

PQ/BD = PR/RD (ratio of corresponding sides of similar triangles)

CP/CA = PQ/BD = PR/RD

Therefore; CP/CA = PR/RD

5. The segment \(\overline{XY}\) is parallel to the segment \(\overline{DE}\)

ΔFXY ~ ΔFDG

ΔFYZ ~ ΔFGE

XY/DG = FY/FG (Ratio of corresponding sides of similar triangles)

YZ/GE = FY/FG

Therefore, by the substitution property, we get;

XY/DG = YZ/GE

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The r chart is used to monitor the dispersion of the process.

The r chart is a statistical tool used in quality control to monitor the dispersion or variability of a process. It is specifically used to track the range (the difference between the highest and lowest values) within subgroups of data. By plotting the ranges on the r chart over time, it becomes easier to identify any patterns or shifts in process variability. This helps in assessing the stability and consistency of the process, allowing for timely adjustments or interventions if needed.

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Answer:

  disagree; long division gives the result of computing the ratio of integers--a rational number

Step-by-step explanation:

If Tom is dividing one integer by another, he already knows the value is rational. (A rational number is the ratio of two integers.)

It appears Tom's number is 3/47, which has a 46-digit repeating decimal fraction. Tom will not see the repeat unless he continues way beyond the 10 digits he has computed so far.

No, the line x=1-2t, y=2+5t, z=-3t is not parallel to the plane 2x+y-z=8 as their dot product is not zero.

To determine if the line x = 1 - 2t, y = 2 + 5t, z = -3t is parallel to the plane 2x + y - z = 8, we can find the direction vector of the line and check if it is orthogonal to the normal vector of the plane.

The direction vector of the line is given by the coefficients of t in each component, which is (-2, 5, -3).

The normal vector of the plane is given by the coefficients of x, y, and z in the plane's equation, which is (2, 1, -1).

To check if the direction vector is orthogonal to the normal vector, we can take their dot product and see if it is zero:

(-2, 5, -3) * (2, 1, -1) = -4 + 5 + 3 = 4

Since the dot product is not zero, the direction vector of the line and the normal vector of the plane are not orthogonal, which means the line is not parallel to the plane.

The line x = 1 - 2t, y = 2 + 5t, and z = -3t is not parallel to the plane 2x + y - z = 8, hence the answer is no.

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When a = -7, b = 4, and the expression (b - a) / 2 is evaluated, the result is 5.5.

To evaluate the expression (b - a) / 2 with the given values a = -7 and b = 4, we substitute these values into the expression and perform the calculations.

(b - a) / 2 = (4 - (-7)) / 2

Simplifying the expression inside the parentheses first:

(4 - (-7)) = 4 + 7 = 11

Now, we can substitute the simplified value back into the expression:

(11) / 2

Evaluating the division:

(11) / 2 = 5.5

Therefore, when a = -7, b = 4, and the expression (b - a) / 2 is evaluated, the result is 5.5.

The expression (b - a) / 2 represents the difference between the values of b and a, divided by 2. In this case, it represents the average change or midpoint between the values of b and a. By substituting the given values into the expression, we obtain the numerical result, 5.5.

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a) The forecast is approximately miles. b) the Mean Absolute Deviation (MAD) based on the forecast is approximately miles. c) The forecast for year 6 is approximately miles. d) the last forecast is 3,468 miles.

a) To calculate the forecast for year 6 using a 2-year moving average, we take the average of the mileage for years 5 and 4. This provides us with the forecasted value for year 6.

b) The Mean Absolute Deviation (MAD) for the 2-year moving average forecast is calculated by taking the absolute difference between the actual mileage for year 6 and the forecasted value and then finding the average of these differences.

c) When using a weighted 2-year moving average, we assign weights to the most recent and previous periods. The forecast for year 6 is calculated by multiplying the mileage for year 5 by 0.40 and the mileage for year 4 by 0.60, and summing these weighted values.

The MAD for the weighted 2-year moving average forecast is calculated in the same way as in part b, by taking the absolute difference between the actual mileage for year 6 and the weighted forecasted value and finding the average of these differences.

d) Exponential smoothing involves assigning a weight (α) to the most recent forecasted value and adjusting it with the previous actual value. The forecast for year 6 is calculated by adding α times the difference between the actual mileage for year 5 and the previous forecasted value, to the previous forecasted value.

In this case, with α=0.20 and a forecast of 3,100 miles for year 1, we perform this exponential smoothing calculation iteratively for each year until we reach year 6, resulting in the forecasted value of approximately 3,468 miles.

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Answer:

40

Step-by-step explanation:

Angle Formed by Tangent and Secant = 1/2 (DIFFERENCE of Intercepted Arcs)

< WVT = 1/2 ( WT - UW)

3x+4    = 1/2 (( 14x +7) - (7x+11))

Distribute

3x+4    = 1/2 ( 14x +7 - 7x-11)

Combine like terms

3x+4    = 1/2 ( 7x -4 )

Multiply each side by 2

6x +8 = 7x-4

Subtract 6x from each side

+8 = x-4

Add 4 to each side

12 =x

WVT = 3x+4

        = 3*12 +4

       = 36+4

       = 40

Given:

The ratio of teaspoons of sugar to teaspoons of lemon juice of one pint of sweet iced tea is 8:2.

To find:

The ratio of THREE pints of sweet iced tea.

Solution:

For a pint of sweet iced tea that calls for 8 teaspoons of sugar and 2 teaspoons of lemon juice.

So, for three pints of sweeet iced tea,

Sugar = 3 × 8 = 24 teaspoons

Lemon juice =  3 × 2 = 6 teaspoons

Now,

\(Ratio=\dfrac{\text{Sugar}}{\text{Lemon juice}}\)

\(Ratio=\dfrac{24}{6}\)

Therefore, the ratio of teaspoons of sugar to teaspoons of lemon juice of three pint of sweet iced tea is 24:6.

Answer:

97

Step-by-step explanation:

y=mx+b

m= slope

y=97x+1

Answer:

Subtraction Property

Step-by-step explanation:

Subtraction Property Equality helps you to deduct the same number to get an identical equation from both sides of an equation.

Answer:

\(D. \: Subtraction \: Property\)

Step-by-step explanation:

\(subtraction \: of \: a \: perticular \: value \: \\ from \: both \: sides \: of \: the \: equation.\)

♨Rage♨

Answer: 4.1

Step-by-step explanation:

Answer:

4 1/10

hope this helps have a good day :)

Financial situation of Wanda when her monthly take-home pay is $3,000, her fixed monthly expenses are $2,575, and her average monthly variable expenses are $855 is that she is in debt.

Average total monthly expense of Wanda is the sum of fixed monthly expense and average monthly variable expense that is

Average total monthly expense = $2,575 + $855

= $3,430

Wanda has only income of $3,000 per month which is less than her total monthly expense. So she is in a debt situation with no savings or investments.

The term "financial situation" refers to a person's income, savings, investments, and debt.

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Answer:

4.66

Step-by-step explanation:

We are given the following data

26, 26, 21, 22, 20, 25, 35

Step 1

We find the Mean

Mean = 26+ 26+ 21+ 22+20+25+ 35/7

= 175/7

= 25

Step 2

We find the Standard Deviation

The formula for Standard deviation that we would use is the Population Standard deviation, this is because the data given above is the data of the number of pounds of trash collected by each teenager

= √(x - Mean)²/n

= √(26 - 25)²+( 26 - 25)²+ (21 - 25)²+ (22 - 25)² +(20 - 25)²+(25 - 25)²+ (35 - 25)²/7

= √152/7

= √21.7142857

= 4.65985898

Approximately = 4.66

Answer:

5.03 Pounds (C)

ED2021

The person above me is right, but you gotta solve for sample data; not population.

!This is for standard deviation!

Answer:

did u just answer your own question

Step-by-step explanation:

Congruency is a type of equivalence relation that states that two geometric figures are the same size and shape. In other words, if two figures are congruent, then all of their corresponding parts are the same size and shape. Therefore, if ⊙a ≅ ⊙v, then it can be concluded that a is congruent to v, and the congruency statements that can be made are a ≅ v, a ≅ ⊙v, and ⊙a ≅ v.

A. a ≅ v

D. a ≅ ⊙v

E. ⊙a ≅ v

Since the symbol ⊙ represents congruency, ⊙a ≅ ⊙v implies that a is congruent to v. Therefore, the congruency statements that can be made are a ≅ v, a ≅ ⊙v, and ⊙a ≅ v.

Congruency is a type of equivalence relation that states that two geometric figures are the same size and shape. In other words, if two figures are congruent, then all of their corresponding parts are the same size and shape. Therefore, if ⊙a ≅ ⊙v, then it can be concluded that a is congruent to v, and the congruency statements that can be made are a ≅ v, a ≅ ⊙v, and ⊙a ≅ v.

The complete question is :

Given , ⊙a ≅ ⊙v, what congruency statements can you make? Check all that apply.

A. a ≅ v

B. a ~ v

C. ⊙a ~ ⊙v

D. a ≅ ⊙v

E. ⊙a ≅ v

The correct answers are: A. a ≅ v, D. a ≅ ⊙v, and E. ⊙a ≅ v.

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Answer:

(x+2)(x+4)

Step-by-step explanation:

Answer:

( x + 2 ) ( x + 4 )

Step-by-step explanation:

Answer:

82,5

Step-by-step explanation:

\( \frac{1}{2} b \times h\)

\( \frac{1}{2} 11 \times 15\)

The surface area and volume of a cube with different edge length are

When a cube with edge length 4inches ,

Surface area = 96 square inches and Volume =64 cubic inches.

Cube dilated by scale factor 0.25 ,  

Surface area = 6 square inches and Volume =1 cubic inches.

The surface area of a cube is = 6 times the area of one face.

Each face of this cube has an area equals to

= (4 inches) x (4 inches)

= 16 square inches,

So the total surface area is,

Surface area

= 6 x 16 square inches

= 96 square inches

The volume of a cube =  length of one edge cubed.

Here, the edge length is 4 inches,

Volume

= (4 inches)^3

= 64 cubic inches

When a cube is dilated by a scale factor of 0.25, all of its edges are multiplied by 0.25.

This implies,

The edge length of the image cube is

0.25 x 4 inches = 1 inch.

Surface area of the image cube =  6 times the area of one face.

Each face of the image cube has an area of

= (1 inch) x (1 inch)

= 1 square inch,

So the total surface area is,

Surface area

= 6 x 1 square inch

= 6 square inches

Volume of the image cube = length of one edge cubed.

Here, the edge length is 1 inch,

Volume

= (1 inch)^3

= 1 cubic inch

Therefore, the surface area and volume for the given dimensions are

For edge length 4inches , Surface area = 96 square inches and Volume =64 cubic inches.

For scale factor 0.25 ,  Surface area = 6 square inches and Volume =1 cubic inches.

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Answer:

16n^2+40n+25

Step-by-step explanation:

Answer:

mab-2

mbc1/2

mcd-3/4

mad-3/4

Step-by-step explanation: