John bought a motor cycle for $56,750 and spent $4530 On its repair. Then he sold it for $72650, what was the profit?​

A transversal is a straight line that intersects two parallel lines forming four angles at each point of intersection. Thus the required answers to the given question are:

i. Side NM is parallel to side XZ.

ii. Using the corresponding property

iii. <XYZ is congruent to <NYM

iv. ΔXYZ is similar toΔNYM by SAS theorem

Two or more angles are said to be congruent if and only if they have equal measure. This property can be used to relate equal angles.

While a transversal is a straight line that intersects two parallel lines forming four angles at each point of the intersection.

The required answers to the question are as stated below:

i. Side NM is parallel to side XZ.

ii. The corresponding property

iii. <XYZ is congruent to <NYM

iv. ΔXYZ is similar toΔNYM by SAS theorem

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Answer: For the first box it is parallel, for the second box it is the corresponding angles theorem, the third is NYM, and the last one is AA.

Step-by-step explanation: 1.) Since line NM has an arrow on it's line and XZ has an arrow on it's line, that means that those two line are parallel to each other. 2.) Since both triangle contain the same transversal line (NY) and the corresponding angles theorem states that if a transversal intersects parallel lines, the corresponding angles are congruent. From this we can conclude that this means that the angle <YXZ has is congruent to the angle <YNM. Therefore we use the corresponding angles theorem. 3.) Answer 2 basically answers box number three but since we concluded that Angles of <YXZ and <YNM are both congruent <NYM would be your answer its just flipped. 4.) We use the AA theorem, because the AA theorem states that if an angle or angle(s) of one triangle is congruent to another angle/angle(s) of another triangle, then the triangles are similar (congruent). Therefore we would use the AA theorem.

Hope this helps :)

By the way this is the answer for EDGE in 2023

The equation of function g(x) in terms of f(x) is g(x) = -3[f(x)].

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given:

genera form of an exponential function is  y=aeᵇˣ

Now, equation for f(x) is

f(x) = [tex]e^{(log \;2)x} -2[/tex]

Similarly, graph for g(x) is

g(x) = [tex]-3e^{(log \;2)x} +6[/tex]

Comparing the two function a relation can  be establish

g(x) = -3[f(x)]

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Answer:

shifted to the left two units
g(x)=-f(x+2)

Step-by-step explanation:

Answer:

Square of a binomial

Step-by-step explanation:

[tex] {(x + 6)}^{2} = {x}^{2} + 12x + 36[/tex]

Using two triangle concepts, it is found that the solution for y is of y = 70º.

Hence:

Then:

x + y + 70 = 180

x + 190 - 3x + 70 = 180.

2x = 80.

x = 40.

Hence:

y = 190 - 3x = 190 - 3(40) = 70º.

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The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The height of Jake's tree is 17.325 trees.

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

Given Josh is 31.2 meters away from the Red Pine tree. The angle of elevation from Josh to the top of the tree is 48º. Therefore, the height of the Josh tree will be,

Tan(48°) = Height of the tree/ Distance between Josh and tree

Height of the tree = Tan(48°) × 31.2 meter = 34.65 meters

Now, Jake's tree is half as tall as Josh's tree. Therefore, the height of Jake's tree is,

Height of Jake's tree = 34.65 meters = 17.325 meters

Hence, the height of Jake's tree is 17.325 trees.

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The exact value of [tex]\dfrac{cos(tan^{-1}(-1))}{sin(cos^{-1}(-\frac{3}{\sqrt{2}})}[/tex] would be root 2.

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

[tex]\dfrac{cos(tan^{-1}(-1))}{sin(cos^{-1}(-\frac{3}{\sqrt{2}})}[/tex]

We know that

The inverse tan(-1) = -π/4

cos(-π/4) = 1/√2

The inverse cos(√3/2) = π//6

sin(π/6) = 1/2

Then substitute

[tex]\dfrac{cos(tan^{-1}(-1))}{sin(cos^{-1}(-\frac{3}{\sqrt{2}})}\\\\[/tex]

[tex]\dfrac{(1/\sqrt{2}) }{(1/2)} \\\\= \sqrt{2}[/tex]

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Answer:

6/7, -6/7

Step-by-step explanation:

Answer:

Not enough information.  See below.

Step-by-step explanation:

Z-M = 2

x= 33.5, then Z = ?

How does x relate to Z or M?  Is the Z-M= 2 equation correct?  Or is it M=33.5?

Answer:

B

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

the opposite angles of a cyclic quadrilateral sum to 180° , then

6x + 20 + 3x + 25 = 180 , that is

9x + 45 = 180 ( subtract 45 from both sides )

9x = 135 ( divide both sides by 9 )

x = 15

the total area of the figure A = 144.5 cm²

First, the area of a rectangle of length L and width W is:

A = W*L

Here we have:

L = 13cm

W = 9cm

Then the area is:

A = 9cm*13cm = 117 cm²

For a triangle of height H and base B, the area is:

A = B*H/2

Here the base measures 11cm, and the height is:

H = 13cm - 8cm = 5cm

So the area of the triangle is:

A= 5cm*11cm/2 = 27.5cm²

Then the total area of the figure is:

area =  27.5cm² +  117 cm² = 144.5 cm²

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Step-by-step explanation:

The right answer is d because inverse means power in minus

Answer:

The slope of the line is -1.

Step-by-step explanation:

SLOPE OF A LINE FORMULA

SLOPE = Y2 - Y1/ x2 - x1

m = Y2 - Y1/ x2 - x1

m = 3 - 7 / 2- (-2)

m = -4/4

m = -1

The slope of the line is -1.

The value of x would be 5 for the model 2x+4.

Rearrange unknown terms to the left side of the equation,
[tex]= > 2x-3x = -1 - 4[/tex]

Combine like terms[tex]= -x = -1-4[/tex]

By calculating the sum or difference : -x = -5

Lets divide both sides of the equation by the resulting coefficient 5
So x = 5

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The correct answer is option C the error is that the linear pair of the theorem can not be used to say that ∠AOP is complementary to ∠POB

The linear pair postulate or linear pair theorem in mathematics states the same thing mathematically. The sum of the measurements of two angles that make up a linear pair is 180°.

In the proof of the given question, it is given that the ∠AOP and ∠POB are complementary angles by linear pair of theorem but the linear pair of the theorem is applied to the angles with the sum of 180.

Therefore the correct answer is option C the error is that the linear pair of the theorem can not be used to say that ∠AOP is complementary to ∠POB

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Answer: Both:

The linear pair theorem cannot be used to state ∠XMN is complementary to ∠NMY.

The linear pair theorem cannot be used to state ∠AOP is complementary to ∠POB.

Step-by-step explanation:

Edmentum/Plato

Answer:

Step-by-step explanation:

HOPE IT HELPS

Answer:

Step-by-step explanation:

What are the 6 types of journals?

There are various types of journals including:

academic/scholarly journals.

trade journals.

current affairs/opinion magazines.

popular magazines.

newspapers.

Answer: x+y=23, 3x+2y = 55 x + y = 55, 3x + 2y = 55 x+y=23, 2x+3y= 55 x+y=55, 2x+3y =23

Step-by-step explanation: The question said the sum is x+y so if the sum is 55, x+y=55

Answer:

42.9%

Step-by-step explanation:

The total number of votes between Carlton and Will is [tex]60 + 45 = 105[/tex].

If we put Carlton's votes in a fraction over the total number of votes, we get [tex]\frac{45}{105}[/tex].

So, if we now multiply this fraction by 100, we will get the percentage amount:

[tex]\frac{45}{105} * 100 = 42.9[/tex]

This means that to 1 decimal place, the percentage of votes that Carlton received is 42.9%.

Answer:

Carton receive:

42.86%    (aprox)

Step-by-step explanation:

45 + 60 = 105

total votes = 105

Carlton received 45 votes

then:

45/105 = 0.4286       (aprox)

0.4286*100 = 42.86%

Answer:

[tex]1 \frac{1}{5} [/tex]

Step-by-step explanation:

[tex]3 \times \frac{2}{5} \\ \frac{3}{1} \times \frac{2}{5} = \frac{6}{5} \\ \frac{6}{5} = 1 \frac{1}{5} [/tex]

The true statement based on the histogram is

There were no lap times between 35 and 36 seconds.

The correct option is (A).

A histogram is a graphical representation that organizes a group of data points into user-specified ranges.

Given:

indoor running track is 200 meters in length.

Also, a 3,000-meter race, runners must complete 15 laps of the track.

As, there no data for interval 35-36.

So, there were no lap times between 35 and 36 seconds.

Hence, The interval from 37 to 38 seconds saw the most lap times.

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Answer:

B. Alex's lap times show less variability than Stefano's lap times.

Step-by-step explanation:

A can't be right because Alex has a lap time between 35 and 36 seconds.

C can't be right because the median lap time for Alex isn't 38-39.

D can't be right because both runners have a higher frequency on lap times other than 37-38.

so it has to be B.

The vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)

The given parameters are:

Center, (a, b) = (-3, 0)

Scale factor, k = 1/2

The vertices of the figure are

(5,4), (-5, 4) and (3,8)

The rule of dilation is represented as:

(x, y) ⇒ (k(x -a), k(y -b))

So, we have:

Point (5,4)

(x, y) ⇒ (1/2(5 + 3), 1/2(4 -0))

(x, y) ⇒ (4, 2)

Point (-5,4)

(x, y) ⇒ (1/2(-5 + 3), 1/2(4 -0))

(x, y) ⇒ (-1, 2)

Point (3,8)

(x, y) ⇒ (1/2(3 + 3), 1/2(8 -0))

(x, y) ⇒ (3, 4)

So, the vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)

See attachment for the image

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Step-by-step explanation:

First she will start by mutiplying the two numbers.

The solution of the system of equations is the point (-6, 6), so the correct option is B.

Here we have the system of equations:

2x + 3y = 6

x + 3y = 12

First, let's write these two lines in the slope-intercept form:

y = (6 - 2x)/3 = 2 - (2/3)*x

y = (12 - x)/3 = 4 - (1/3)*x

Now, because "y" is the represents the same variable in both equations, we can write:

2 - (2/3)*x = y = 4 - (1/3)*x

Now we can solve that for x.

2 - (2/3)*x =  4 - (1/3)*x

2 - 4 = (2/3)*x - (1/3)*x

-2 = (1/3)*x

3*(-2) = x = -6

Now, to get the y-value of the solution we can evaluate any of the two lines in x = -6, evaluating the first we get:

y =  4 - (1/3)*x = 4 - (1/3)*(-6) = 4 + 2 = 6

Then the solution of the system is the point (-6, 6). Then the correct statement is B:

"The values of x= -6 and y= 6 satisfy both the equations; therefore, (-6, 6) is the solution."

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The linear regression equation is y = 0.50x - 0.36

The proper format of the table of values is:

Number of tv commercials, x: 13 6 12 14 17

Car sales, y (in hundreds):        3  2 8   9  7

Next, we determine the linear regression equation using a graphing calculator.

From the graphing calculator, we have the following summary:

The regression equation is the calculated as:

y = bx + a

Where

b = SP/SSX = 32.4/65.2 = 0.49693

a = MY - bMX = 5.8 - (0.5*12.4) = -0.36196

Substitute these values in y = bx + a

y = 0.49693x - 0.36196

Approximate

y = 0.50x - 0.36

Hence, the linear regression equation is y = 0.50x - 0.36

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Answer:

8

Step-by-step explanation:

this was actually in my book and it came in today's test as well but I got 14/20 and failed lol

Using translation concepts, the graph of g(x) is given at the end of the question.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is given by:

[tex]f(x) = \sqrt{x}[/tex].

With the changes, we have that:

Hence the function will be given by:

[tex]f(x) = \sqrt{-x} - 2[/tex].

The graph is given at the end of the answer.

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Answer:

Step-by-step explanation:

Answer:

can you write these in proper way

A linear inequality that is represented by the graph include the following: C. y > 2/3(x) + 3.

In Mathematics, there are two (2) main rules that are generally used for writing and interpreting an inequality or system of inequalities that are plotted on a graph and these include the following:

here, we have,

The line on a graph should be a solid line when the inequality symbol is (≥ or ≤).

The line on a graph should be a dashed (dotted) line when the inequality symbol is (> or <).

The line on a graph should be shaded above the line when the inequality symbol is (>).

Since the line on this graph was shaded above the line and it passes through the point (0, 3), it ultimately implies that 3 is part of its solution and as such, it is represented by this inequality equation:

y > 2x/3 + 3.

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Answer:

A. 3/4

Step-by-step explanation:

1. Square both sides:
5x + 3 = 9x
2. Subtract 5x from both sides:
3 = 4x
3. Divide 4 from both sides:
3/4 = x
Answer: A

Answer:

3/4

Step-by-step explanation:

it's correct