Mike has a certain amount of money and is given $25.25 more money. Anthony has three times the total that mike has plus $5.48 extra dollars. Their combined total is $261.23. Write an equation and solve it to determine how much each of them has.

Answer:

[tex]d_{AB}\ne d_{JK}[/tex]

[tex]d_{AB}\ne \:d_{GH}[/tex]

[tex]d_{GH}\ne \:d_{JK}[/tex]

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

Step-by-step explanation:

Considering the graph

Given the vertices of the segment AB

Finding the length of AB using the formula

[tex]d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

        [tex]=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}[/tex]

         [tex]=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}[/tex]

         [tex]=\sqrt{6^2+1}[/tex]

         [tex]=\sqrt{36+1}[/tex]

        [tex]=\sqrt{37}[/tex]

[tex]d_{AB}\:=\sqrt{37}[/tex]

[tex]d_{AB}=6.08[/tex] units        

Given the vertices of the segment JK

From the graph, it is clear that the length of JK = 5 units

so

[tex]d_{JK}=5[/tex] units

Given the vertices of the segment GH

Finding the length of GH using the formula

[tex]d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

         [tex]=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}[/tex]

          [tex]=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}[/tex]

          [tex]=\sqrt{3^2+0}[/tex]

           [tex]=\sqrt{3^2}[/tex]

[tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

[tex]d_{GH}\:=\:3[/tex] units

Thus, from the calculations, it is clear that:

[tex]d_{AB}=6.08[/tex]  

[tex]d_{JK}=5[/tex]

[tex]d_{GH}\:=\:3[/tex]

Thus,

[tex]d_{AB}\ne d_{JK}[/tex]

[tex]d_{AB}\ne \:d_{GH}[/tex]

[tex]d_{GH}\ne \:d_{JK}[/tex]

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

Answer:

$27.59

Step-by-step explanation:

You multiply 30 dollars by 0.85 (1-0.15, with the 0.15 being for the 15 percent off). Which gets you to $25.50, and you then multiply it by 1.082 (the 1.082 being the tax, and the .082 part equating to the 8.2% tax percentage).

Answer:

The dimensions of the rectangle are: Length: 17 centimeters, Width: 11 centimeters.

Step-by-step explanation:

From Geometry we remember that the perimeter ([tex]p[/tex]), measured in centimeters, of a rectangle is determined by the following formula:

[tex]p = 2\cdot w +2\cdot l[/tex] (1)

Where:

[tex]w[/tex] - Width of the rectangle, measured in centimeters.

[tex]l[/tex] - Length of the rectangle, measured in centimeters.

If we know that [tex]p = 56\,cm[/tex], [tex]l = 6\cdot x - 7[/tex] and [tex]w = 2\cdot x + 3[/tex], then the value of [tex]x[/tex] is:

[tex]2\cdot (2\cdot x +3)+2\cdot (6\cdot x-7) = 56[/tex]

[tex]4\cdot x +6 +12\cdot x -14 = 56[/tex]

[tex]16\cdot x-8 = 56[/tex]

[tex]16\cdot x = 64[/tex]

[tex]x = 4[/tex]

And the length and the width of the rectangle are, respectively:

[tex]l = 6\cdot (4)-7[/tex]

[tex]l = 17\,cm[/tex]

[tex]w =2\cdot (4)+3[/tex]

[tex]w = 11\,cm[/tex]

The dimensions of the rectangle are: Length: 17 centimeters, Width: 11 centimeters.

Answer:

3 (2x + 3) + 11 = –2 (2x - 6) - 18

Answer:

-15

Step-by-step explanation:

this is because when a negative multiplies with a positive ....it gives an answer of negative

Answer:

2.5w + 7.5

Step-by-step explanation:

2.5(w+3)

2.5w+7.5

Answer:

61=x cortical opposite angle

61=y corresponding angle

Answer:

61=x and 61=y

Step-by-step explanation:

I think that bout right

Answer:

Yes

Step-by-step explanation:

They are just in the opposite side

Answer:

These photos have the formulas of sub multiple angle trigonometry.

Hope it helps:)

Answer:

x ≈ 4.8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Identify Variables

Angle measure = 58°

Adjacent side of angle = x

Hypotenuse = 9

Step 2: Solve for x

Answer:

if you have the answer then wha.

Step-by-step explanation:

Answer:

first answer for (a) is -15=0

second answer for (b) is =9y+3

Step-by-step explanation:

its juss so easy

Answer:

You should put "no solution" into the parallel lines box,

you should put "infinite solutions" into the coinciding lines box,

you should put the "(0,0)" and the "(3,-2)" into the intersecting lines box.

Step-by-step explanation:

Answer:

y= 115

Step-by-step explanation:

Step one:'

given data

The total charge for this cabin is represented by the equation

[tex]y=4x+35[/tex]

we are told that  y represents the total cost and x represents the length of stay in days

Required:

the value of y when x= 20

Step two:

substitute

[tex]y=4(20)+35\\\\y=80+35\\\\y=115[/tex]

Answer:

9 dollars

Step-by-step explanation:

let x be per mile

the equation for solving this would be 0.5x + 3(flat fee)=amount you have to pay

The x is 12 since you have to go 12 miles

0.5(12)+3=amount you have to pay

6+3=amount you have to pay

$9=mount you have to pay

The percentage increase from $2.35 to $2.82 over the week in summer is 20%

Given Data

Initial Value = $2.35

Final Value = $2.82

We know that the expression for Percentage increase is given as

% Increase = Increment/Initial Value *100

% Increase = 2.82-2.35/2/35 * 100

% Increase =0.47/2/2.35 * 100

% Increase =0.2* 100

% Increase = 20%

Hence the percentage increase is 20%

Learn more about percent increase here:

https://brainly.com/question/11360390

Answer:

Step-by-step explanation:  you didnt put a Graph in your question

Answer:

number: 2

Step-by-step explanation:

Answer:

'is' over 'of' equals '%' over 100

Step-by-step explanation:

72/480 = x/100

if you cross multiply you get 480x = 7200

x = 15/100 which is 15%

Answer:

a=1

Step-by-step explanation:

This is assuming that by A you mean y=ax+b. So you have y=x-31, following the y=ax+b equation, A is the coefficient in front of x, which is 1.

Answer:

11.88 $ (approximately)

Step-by-step explanation:

10.99 is approximately 11

So

100$ …8$

1$ .… 8/100 $

11$… 8/100×11 $

22/25 $

0.88 $

So she total has to pay

11 + 0.88 $

11.88 $ (approximately)

You put this very long ago do you still need help????? :|

Answer:

im sorry i cant

Step-by-step explanation:

PLEASE HELP ME!!!!!!!!!!!!!!$!!!!!!!!

Answer:

C

Step-by-step explanation:

Answer:D

Step-by-step explanation: a function has only one output value for each input value

Answer:

C. Use a compass to draw one arc with point M at the center and intersecting point N.

Step-by-step explanation:

I took the test and got it right.

Your welcome :)

Using a compass, draw one arc with point M at the center and point N intersecting it as the first step in the typical construction of the perpendicular bisector of MN. Option C is correct.

Lines that cut through the middle of each side of a triangle and are perpendicular to the specified side are known as the perpendicular bisectors of the triangle.

The standard construction of the perpendicular bisector of MN will be,

Step 1: Sketch a line segment with any appropriate length, XY.

Step 2: Using a compass, draw arcs above and below the line segment, with X serving as the center and XY's width greater than 50%.

Step 3: Carry out Step 2 but use Y as the center. Step 4: Write "P" and "Q" next to the junction points.

Thus, using a compass, draw one arc with point M at the center and point N intersecting it as the first step in the typical construction of the perpendicular bisector of MN. Option C is correct.

Learn more about the perpendicular bisectors here,

https://brainly.com/question/24753075

#SPJ2

Answer:

k = 4/3

Step-by-step explanation:

Formula for k: y/x

If y = 4 and x = 3, then we use the formula (y/x) in order to find the constant of proportionality:

k = 4/3

Answer:

B) j(j^3-5j^2+10)

Step-by-step explanation:

Given: [tex]j^4-5j^3+10j[/tex]

Factor out j: [tex]j(j^3-5j^2+10)[/tex]

We cannot factor out anymore, so the final answer is B) j(j^3-5j^2+10)

Answer:

Step-by-step explanation:

Hi! So far, in the question provided, you have two of the three angles that you need to find x. To find x, you need all three interior angles of the triangle. When you look at the image, you can see that (7x-16) is a complementary angle to the interior angle we need. To find the final angle of the triangle, you are going to take 180 - (7x-16). This is going to give you the interior angle to be (196-7x).

Now that we know all three angles for the inside of the triangle, we can find the value of x. We know that all of the angles inside of a triangle add up to 180 degrees. This is going to help you find x:

180 = (x+8) + (4x) + (196-7x)

180 = x + 8 + 4x + 196 - 7x

180 = -2x + 204

-24 = -2x

12 = x

Now that we have have the value of x, we can solve for the exterior angle.

(7(12) - 16) = 68 degrees

Hope this helps!

Answer:

68°

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle

4x + x + 8 = 7x - 16 add like terms

5x + 8 = 7x - 16 export like terms to the same side

8 + 16 = 7x - 5x

24 = 2x divide both sides by 2

12 = x

The measure of exterior angle 7x - 16 ➡ 7 × 12 - 16 = 68°