use the method of reduction of order to find a second solution y2(x) of the homogeneous equation and a particular solution yp(x) of the given nonhomogeneous equation.

The shaded angles in the given diagram can be named as:

1. ∠ABC; ∠1; and ∠B.

2. ∠JKM; ∠2; ∠K.

3. ∠CBJ ≅ ∠DHG

4. ∠FJH ≅ ∠AJB

5. m∠JAB = 75°.

6. m∠JBC = 130°.

We can name a given angle by:

1. The three angles can be named as:

Angle ABC or ∠ABC

Angle 1 or ∠1

Angle ∠B or ∠B.

2. The shaded angle can be named as:

Angle JKM or ∠JKM

Angle 2 or ∠2

Angle ∠K or ∠K.

Two angles with the same marks on a diagram are congruent to each other. Therefore:

3. ∠CBJ ≅ ∠DHG

4. ∠FJH ≅ ∠AJB

Angles that are congruent to each other have the equal angle measure, therefore:

5. ∠EFD ≅ ∠JAB

Therefore, If m∠EFD = 75°, then m∠JAB = 75°.

6.  ∠GHF ≅ ∠JBC

Therefore, If m∠GHF = 130°, then m∠JBC = 130°.

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Answer:

=================================

Angle bisector theorem:

Applying to the given triangle:

Solve it for x:

Answer:

1 + 3 < 1 · 2

Step-by-step explanation:

The value of cohen's d based on the population and the deviation given is 1.14.

It should be noted that based on the information, the researcher conducts a study and finds that the difference between the population mean (μ) and the sample mean (m) is 4, the sample size (n) is 36, and the standard deviation of the population (σ) is 3.5.

Sample mean = 4

Sample size = 36

Standard deviation = 3.5

Cohen D = Sample mean / Standard deviation

= 4 / 3.5

= 1.14

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Answer:

Equation of line is given as y = mx + c, where m is the slope and c is the y-intercept.

Since slope is -3, equation is y = -3x + c.

Substitute point (-1,5) into equation to find c.

5 = -3(-1) + c

c = 2

Hence, equation of line is y = -3x + 2

Answer:

11 lawns

Step-by-step explanation:

$65 × 10 = $650

$695 - $650 = $45

So Mark will need to mow at least 11 lawns.

Answer:

A. the line is parallel to the x axis

Step-by-step explanation:

B is incorrect because it will be intersecting the y axis therefore not being parallel

C is incorrect because It doesn't pass through the origin (origin is (0, 0) btw) it actually passes thru the point (0, 8) so this choice is wrong

D is incorrect because It doesn't give us enough info that the slope is 8 so we can't tell. Also if y = 8 it will just be a straight line so the slope will actually be 0 im pretty sure

A is correct because it is parallel if y = 8 and x axis kept going in a straight line they will never touch so that means it it parallel

The time it take for the plane to travel at 280 miles is 0.8 hours.

The plane flew at a constant speed between Boston and Philadelphia.

An equation relating the distance travelled in miles, d, to the number of hours flying, t, is d = 350t.

Therefore,

d = 350t

where

Therefore, let's find the time it will take to travel for 280 miles

d = 350t

d = 350 × t

280  = 350t

divide both sides by 350

t = 280 / 350

t = 0.8 hours

Therefore,

the time it will take to travel = 0.8 hours

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Answer:

rational : improper fractions,

mixed numbers

decimals that either ternimate or repeat,

irrational : decimals that do not terminate or repeat,

negative integers

For given proof the missing statements are:

14 : NA + AL = NA + BM  

15 : NL = NM

16 : Addition postulate of equality

In this question, we have been given a proof.

We need to write missing statements or reasons of the given proof.

We have been given NL ≅ NM and AL ≅ BM

We need to prove NA ≅ NB

1) NL ≅ NM; AL ≅ BM                           ................(Given)

2) NL = NA + AL and

    NM = NB + BM                        ...........(Segment Addition Postulate)

3) NA + AL = NA + BM                   ...........(Subatitution)

4) NA + BM = NB + BM                  ..............(NL = NM)

5) NA = NB                                   ............(Addition postulate of equality)

Therefore, for given proof the missing statements are:

14 : NA + AL = NA + BM  

15 : NL = NM

16 : Addition postulate of equality

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The proportional linear equation relationship has a unit rate of 1.6

From the question, we have the statement to be:

The above means that

5 * t = 8* d

Evaluate the products

So, we have the following equation

5t = 8d

Divide both sides of the equation by 5

So, we have the following equation

t = 1.6d

Next, we plot the graph of the equation

See attachment for the graph of the equation t = 1.6d

Also, we have

t = 1.6d

The above equation is a proportional linear equation

A proportional linear equation is represented as

t = md

Where m represents the unit rate

So, we have

m =1.6

Hence, the unit rate of the relationship is 1.6

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Answer:

Answer is 20 :).........

Answer:

x=15, y=7

Step-by-step explanation:

Angles that form a linear pair are supplementary, so:

[tex]2(5x-5)+3x-5=180 \\ \\ 10x-10+3x-5=180 \\ \\ 13x-15=180 \\ \\ 13x=195 \\ \\ x=15 \\ \\ \\ \\ 5y+5+20y=180 \\ \\ 25y+5=180 \\ \\ 25y=175 \\ \\ y=7[/tex]

Answer:

[tex]x=\boxed{15}\\\\y=\boxed{7}[/tex]

Step-by-step explanation:

Angles on a Straight Line Theorem

The sum of angles on a straight line is equal to 180°.

Solving for x:

[tex]\boxed{\begin{aligned}2(5x-5)^{\circ}+(3x-5)^{\circ}&=180^{\circ}\\2(5x-5)+(3x-5)&=180\\10x-10+3x-5&=180\\13x-15&=180\\13x-15+15&=180+15\\13x&=195\\13x \div 13 &=195\div 13 \\x&=15\end{aligned}}[/tex]

Solving for y:

[tex]\boxed{\begin{aligned}(5y+5)^{\circ}+20y^{\circ}&=180^{\circ}\\(5y+5)+20y&=180\\5y+5+20y&=180\\25y+5&=180\\25y+5-5&=180-5\\25y&=175\\25y \div 25 &=175\div 25 \\y&=7\end{aligned}}[/tex]

Therefore:

[tex]x=\boxed{15}\\\\y=\boxed{7}[/tex]

Answer:

according to the image, it looks like you would move 6 more points to the right, but i might be wrong.

Step-by-step explanation:

If the point that you are dilating is directly above the point of dilation and you are dilating by 3, you take the distance from the point of dilation and the point you are dilating and you multiply it by 3.

Answer: D

Step-by-step explanation:

Reflecting over the line y=x means [tex](x,y) \longrightarrow (y,x)[/tex].

[tex]C(1, -5) \longrightarrow C'(-5, 1)\\\\D(8, -2) \longrightarrow D'(-2, 8)\\\\E(7, -6) \longrightarrow E'(-6, 7)[/tex]

10% of $35.50 = 0.10*35.50 = 3.55

If Julia goes with the 10% option, then she will tip $3.55

But she instead goes with the $5 tip because it's the larger of the two options. If the result of 10% of $35.50 was larger than 5, then she'd go with the 10% option instead.

Two separate maps exist for North Carolina. The first map has a scale of 1 cm to 2 km. Durham and Cary are separated by 15 cm. The second map has a scale of 1 cm to 5 km. On the second map, the separation between Durham and Cary is 18 cm.

The measurement of the distance between two objects or points can be quantitative or occasionally qualitative. Distance in physics or common language can refer to physical length or an assumption based on other factors (e.g. the "two counties over"). Given that spatial thinking is rich source of conceptual metaphors in human thought, the term is also frequently used metaphorically to denote a measure of the degree of separation or statistical distance between two similar objects (such as edit distance between strings of text or probability distributions) (as exemplified by distance between people in a social network). A metric space is mathematical concept that is used to define the majority of these conceptions of distance, both literal and figurative.

In social sciences, distance can refer to a qualitative measurement of separation, such as social distance or psychological distance.

if

1cm to 2km map= 15cm distance

1cm to 5km map= 15+3cm distance

                           = 18cm

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[tex]\angle TIG \cong \angle AIN[/tex] by vertical angles, so [tex]\triangle TIG \cong \triangle NIA[/tex] by SAS.

Gigi makes a scale drawing of a patio the drawing, The two scales are

This is further explained below.

Generally, In mathematics, a dimension is a measurement that may be taken in one direction to determine the size or distance of an item, area, or space.

To put it another way, it is the process of determining the dimensions of anything by calculating its length, breadth, and height.

Actual ratio measurements with a scale of 1

For the Lenght

Length=7 cm

Length =7*5

Lenght=35 ft

Width=5 cm

Width=5*5

Width=25 ft

Therefore

The dimensions are 35 ft by 25 ft

Find the actual dimensions of a ratio with the scale 2

A scale of 2 is equal to

1 cm/8 ft

For Length=7 cm

L=7*8

L=56 ft

For Width=5 cm

W=5*8

W=40 ft

In conclusion, The dimensions are 56ft by 40f

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Answer:

3

Step-by-step explanation:

[tex]4x^6 y^3 - 3x^6 y^3 + 2x^2 y^2 - x^6 y^3 - x^2 y^2 +y \\ \\ =x^2 y^2+y \\ \\ =(-2)^2 (-1)^2 -1 \\ \\ =4-1 \\ \\ =3[/tex]

Answer:

gay

Step-by-step explanation:

gay gay gay gay gay gay

Answer: i am

Step-by-step explanation:Black parents

Answer:

If, he got 94 marks for his sixth quiz, then, he will be able to maintain his required grade for his scholarship.

Step-by-step explanation:

given-

Joven's scores in five of his quizzes in mathematics are 85, 88, 95, 86, and 92.

let, the x score he gets for his sixth quiz.

then, he will be able to maintain his required grade for his scholarship.

he needs an average quiz grade of 90 to maintain his required grade for his scholarship.

according to the question--

using the formula of average=>

(85+88+95+86+92+x)/6=90

=>x=540-446

=>x=94

if, he got 94 marks for his sixth quiz, then, he will be able to maintain his required grade for his scholarship.

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IMAGE OF QUESTION

ANSWER

EXPLANATION

We have that the function graphed g(x) is a transformation of:

When the parent quadratic function f(x) is transformed, it takes the following form:

This form also represents the vertex form of a quadratic equation, where (h, k) is the vertex of the function.

This means that we can find the function by using the vertex of the function.

The vertex of a function is the maximum or minimum value of the function; from the given graph, it is a maximum value and it is located at:

Therefore, we can input this into the vertex form of the function:

Now, we have to find the value of a. To do this, pick any coordinate point from the graph and input it into the function above.

Let us pick:

Therefore, we have:

Therefore, the function graphed above is:

The value of the hypotheses of the right angled triangle is found as √130.

For the given right angled triangle,

The two side legs are given as 7 and 9.

By the Pythagorean theorem;

H² = P² + B²

Put the values;

H² = 7² + 9²

Simplifying;

H² = 49 + 81

H² = 130

Taking square root both sides.

H = √130

Thus, the value of the hypotheses of the right angled triangle is found as √130.

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By rational number algebra, the mixed number 3 5 / 11 is equivalent to the decimal expansion 3.[tex]\overline {45}[/tex].

According to the statement, we find a mixed number, that is, a notation to represent rational numbers that combines both integers and fractions. The procedure to obtain the decimal form of a mixed number is:

Then, the decimal expansion of the mixed number 3 5 / 11 is:

3 5 / 11 = (3 · 11) / 11 + 5 / 11 = 33 / 11 + 5 / 11 = 38 / 11 = 3.[tex]\overline {45}[/tex]

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Given

by selecting two numbers from S, the number of possible outcomes is

Let E be the event that selecting two numbers randomly and their sum is 12 with replacement.

The probability is

Substitute values, we get

h is

b)without replacement

Areplacementout

Substitute the values, we get

The probability that the sum is 12 if selecting two numbers without replacement

From the function table and verbal description of the two functions, we can say that; Function 2 has a greater y-intercept

The y -intercept of a graph is the point where the graph crosses the y -axis. Now, due to the fact that a function must pass the vertical line test , it means that a function can have at most one y -intercept .

The y -intercept is often referred to with just the y -value.

Now, we are told given table representing function1 which is an exponential function and we can see the x and y-values. Now, the y-intercept occurs when x = 0 and in this case, at x = 0, y = 20. Thus, the y-intercept of function 1 is 20.

Now, for the second function, we are told that it has 15 pitches but that it crosses the vertical axis at y = 22. Thus, from, y-intercept definition, we can say that the y-intercept of function 1 is 22.

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By using the rotation formula, the image of the point (- 6, 4) after rotating 180° counterclockwise about the origin is equal to point (6, - 4).

In this problem we find the coordinates of the image, which is the result of rotating a point 180° counterclockwise (+ 180°) about the origin. Let be P(x, y) = (x, y) the coordinates of the point set on Cartesian plane, then the coordinates of the image are defined by the following expression:

P'(x, y) = (x · cos θ - y · sin θ, x · sin θ + y · cos θ)

Where θ is the angle of rotation, in degrees.

If we know that P(x, y) = (- 6, 4) and θ = 180°, then the coordinates of the image are, respectively:

P'(x, y) = (- 6 · cos 180° - 4 · sin 180°, - 6 · sin 180° + 4 · cos 180°)

P'(x, y) = (6, - 4)

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Answer:

180-90=90

90-x=6x+40

90-40=6x+x

30=7x

x=4.28

input x:

6(4.28)+40

=60.71