if angle 2=6x+8 and angle 4=4x+11 what is the value of angle 2?

Answer:

24

Step-by-step explanation:

to solve this you should first write it out

-8 * -3

now multiply them

the negatives cancel each other out

so

you can just do 8 * 3

and get 24

The length of each sides of the right triangle are as follows:

The shape of the city lot is a right triangle.

The hypotenuse side is 4 ft longer than one of the other side.

The perimeter of the lot is 440 ft.

Therefore, using Pythagoras theorem,

let

x = the other side

y = the second leg

x² + y² = (x + 4)²

x² + y² = (x + 4)(x + 4)

x² + y² = x² + 4x + 4x + 16

x² + y² = x² + 8x + 16

y² = 8x + 16

Hence,

x + x + 4 + y = 440

2x + y + 4 = 440

2x + y = 436

2x + y = 436

y = 436 - 2x

y² = 8x + 16

(436 - 2x)(436 - 2x) = 8x + 16

190096 - 872x - 872x - 4x² = 8x + 16

190096 - 1744x - 4x² = 8x + 16

4x² + 1752x -190080 = 0

4(x² + 438x - 47520) = 0

x² + 438x - 47520 = 0

Therefore,

x = 90 and x = - 528

Therefore, the hypotenuse side is 94 ft.

94² - 90² = y²

y = √8836 - 8100

y = √736

y = 27.1293199325

y = 27 ft

Therefore, the short leg, long leg and hypotenuse are 27 ft, 90 ft and 94 ft.

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Using the given information, the value of the variable x is equal to -0.125.

The given question can easily be solved using the constraints given in the question. It is given that B is between A and C. Also, the given question is in the form of Linear equation in one variable. Linear equation in one variable is the one which is of the form ax+b=0 where a and b are real numbers and x is the variable.

So, this implies that AB+BC=AC

Also, AB=4x-7 and BC=20x-5 and it is given that AB=BC

Thus, this implies that:

AB=BC

4x-7=20x-5

Taking 20x from Right hand side to Left hand side and -7 from Left hand side to Right hand side.

4x-20x=-5+7

-16x=2

x=-2/16

=>x=-1/8

=>x=-0.125

Thus, the value of x is equal to -0.125.

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The values of the required parameters based on the analysis of the dataset are as follows;

X MIN = 0

X MAX = 2

X Scl = 0.5

Y MIN = 0

Y MAX = 110

Y Scl = 20

A dataset is a presentation of a collection of data. In a tabular form, a dataset is arranged such that each column of the table presents the data of a specific variable.

The table of values in the question are presented as follows;

d   [tex]{}[/tex]              p

0   [tex]{}[/tex]             110

0.25  [tex]{}[/tex]        90

0.5  [tex]{}[/tex]           80

0.75  [tex]{}[/tex]         75

1  [tex]{}[/tex]         [tex]{}[/tex]      75

1.25  [tex]{}[/tex]          40

1.5  [tex]{}[/tex]            40

1.75  [tex]{}[/tex]           10

2  [tex]{}[/tex]               0

Please find attached a plot of the data in the table presented in the question

X MIN is the minimum x-value obtained from the set of x-values, which is the minimum value of the domain of the data in the table.

From the table in the question; X MIN = 0

X MAX is the maximum x-value obtained from the set of x-values of the data in the table, which is also the maximum x-value of the range of input values in the table.

The maximum x-value in the table, X MAX = 2

X scl is the scale the specification of the distance between consecutive tick marks on the x-axis.

The distance between tick marks on the x-axis of the attached graph, X Scl = 0.5

Y MIN is the minimum y-value obtained from the set of y-values, which is the minimum value of the range of the data presented in the table

The Y MIN obtained from the table is 0

Y MAX is the maximum y-value obtained from the y-values of the data in the table, which is the maximum value of the range of the data in the table

The maximum y-value, Y MAX = 110

Y Scl is the distance between consecutive tick marks on the y-axis of the graph of the data

The Y Scl of the y-axis of the attached graph Y Scl = 20

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Usando la fórmula del valor futuro, se encuentra que el valor acumulado en su cuenta al final de los dos años es de $110,615.

La formula es dada por:

[tex]V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right][/tex]

En que:

En este problema, hay que:

Así:

[tex]V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right][/tex]

[tex]V(24) = 1600\left[\frac{(1 + 0.02625)^{23}}{0.02625}\right][/tex]

V(24) = $110,615.

El valor acumulado en su cuenta al final de los dos años es de $110,615.

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See attachment for the graphs of the inequalities

To do this, we analyze and plot each inequality at a time

Having said that, we have

Inequality 1: y > -3x - 2

Here, we have

y > -3x - 2

The inequality > implies that the right-hand side of the origin will be shaded

Also, it means that the line of the inequality will be a dotted line

Inequality 2: 4x + 5y ≤ 20

Here, we have

4x + 5y ≤ 20

The inequality ≤ implies that the left-hand side of the origin will be shaded

Also, it means that the line of the inequality will be a closed line

Inequality 3: y > -4

Here, we have

y > -4

The inequality > implies that the upper part of the origin will be shaded

Also, it means that the line of the inequality will be a dashed line

See attachment for the graphs of the inequalities

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Answer:

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

Let the number of adult tickets be x and student tickets be y.

Answer:

4x+8+7x-8

Step-by-step explanation:

4x+7x+8-8

11x+0

11x.

Answer:

-1 or -3/3

Step-by-step explanation:

Average rate of change = slope

x = 2 x = 5

(2,3) (5,0)

Slope formula: y₂-y₁/x₂-x₁

(0-3)/(5-2) = -3/3 or -1

Answer:

y = - 3x + 12

Step-by-step explanation:

Slope intercept form of line

y = mx + b where m = slope, b = y-intercept

==> y = -3x + b is the equatin

To find b, plug in values for point x = 9, y =-15 and solve for b

-15 = -3(9) + b

-15 = -27 + b

Add 27 both sides

-15 + 27 = b

12 = b

b = 12

Equation is
y = - 3x + 12

Answer:

[tex]m∠1 = 64°[/tex]

[tex]m∠2 = 26°[/tex]

[tex]m∠3 = 36°[/tex]

Step-by-step explanation:

[tex]m∠1→75° + 41° + m∠1 = 180° \\ m∠1 = 180 - 116[/tex]

[tex]m∠1 = 64°[/tex]

[tex]m∠2→64° + m∠2 = 90° \\ m∠2 = 90 - 64[/tex]

[tex]m∠2 = 26°[/tex]

[tex]m∠3→m∠3 + 54° = 90° \\ m∠3 = 90 - 54[/tex]

[tex]m∠ 3 = 36°[/tex]

[tex](\stackrel{x_1}{4.5}~,~\stackrel{y_1}{3.5})\qquad (\stackrel{x_2}{9.5}~,~\stackrel{y_2}{5.5})~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5.5}-\stackrel{y1}{3.5}}}{\underset{run} {\underset{x_2}{9.5}-\underset{x_1}{4.5}}}\implies \cfrac{2}{5}[/tex]

Answer:

The volume of a cube is the edge length cubed (S^3)

To find the edge length when the volume is known find the cubic root of the volume.

Step-by-step explanation:

Edge = ∛1/27

Edge = 1/3 ft.

Numbers that can be written as a power in more than one way is known as exponents .

A sign that denotes raising to a power that is placed above and to the right of a mathematical expression. for example , [tex]2^{a}[/tex].

The mathematical procedure known as exponentiation, abbreviated as bn, involves the base number (b) and the exponent (or power) number (n). In English, it is pronounced "b (raised) to the (power of) n." [1] Exponentiation is the process of repeatedly multiplying bases, where n is a positive integer, and the product is known as bn.

The exponent is typically denoted by a superscript to the right of the base. The term "b raised to the nth power," "b (raised) to the power of n," "the nth power of b," "b to the nth power," or, most simply, "b to the nth," is used to describe bn.

Numbers that can be written as a power in more than one way is known as exponents .

These numbers are basically written to save time to multiply the same number multiple times .

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The percentage saved if the customer purchases the shirt today will be 18%.

The percentage of the original price which is the sale price will be 82%.

The percent discount offered on the shirt is 18%.

From the information, the men’s dress shirt costs $45, but it is $8.1 off today, the percentage saved if the customer purchases the shirt today will be:

= Amount off / Cost × 100

= 8.1/45 × 100

= 18%

The percentage of the original price that is the sale price will be:

= ($45 - $8.1) / $45 × 100

= 36.9/45 × 100

= 82%

The percent discount offered on the shirt is 18%.

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Answer: solve for x

x=[tex]\frac{y-2}{3}[/tex]

solve for y

y=3x+2

Step-by-step explanation:

solve for x

2y=6x+4

Swap sides so that all variable terms are on the left hand side.

6x+4=2y

Subtract 4 from both sides.

6x=2y−4

Divide both sides by 6.

6

6x

Dividing by 6 undoes the multiplication by 6.

[tex]x=\frac{2y-4}{6}[/tex]

Divide −4+2y by 6.

x=[tex]\frac{y-2}{3}[/tex]

solve for y

2y=6x+4

The equation is in standard form.

2y=6x+4

Divide both sides by 2.

[tex]\frac{2y+2}{2} =\frac{6x+4}{2}[/tex]

Dividing by 2 undoes the multiplication by 2.

[tex]y=\frac{6x+4}{2}[/tex]

Divide 6x+4 by 2.

y=3x+2

​

The equation of the CD in slope-intercept form is: C. y = -4x + 2.

The equation of a line in slope-intercept form can be written as y = mx + b. In this form, m represents the slope and b represents the y-intercept.

The slopes of lines that are parallel are equal, while the slopes of the lines that are perpendicular to each other are negative reciprocals of each other.

The slope (m) of the graph y = 1/4x - 3 is 1/4. Since AB of rectangle ABCD is perpendicular to the graph, then the slope (m) of AB would be the negative reciprocal of 1/4 which is: -4.

Also, since CD is parallel to AB, they would have the same slope, m = -4.

To find the equation of CD that is parallel to AB, substitute m = -4 and (a, b) = (-1, 6) into y - b = m(x - a):

y - 6 = -4(x - (-1))

y - 6 = -4(x + 1)

y - 6 = -4x - 4

y = -4x - 4 + 6

y = -4x + 2

Therefore, the equation of the CD in slope-intercept form is: C. y = -4x + 2.

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When the storage unit is 8 ft high, the volume of the storage unit is C. 192ft³

To determine the volume, V,

= Area of the rectangle ABCG + Area of the rectangle CDEF

Area of the rectangle ABCG =2 x 2 = 4 square feet.

Area of the rectangle CDEF = 6 x 3 = 18 square feet.

So, the area of the base ABCDEFG, A = 18+4 = 22 square feet.

The given height, h= 8 feet

Volume = 22 x 8 = 192 cubic feet.

Therefore, it should be noted that when the storage unit is 8 ft high, the volume of the storage unit is 192ft

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Answer:

you're answer will be 2 hours and 30 minutes

Step-by-step explanation:

i hope that helps you! :))

Answer:

Step-by-step explanation:

Let the time for cold tap be c and hot tap be h.

The cold water tap can fill a container two hours faster than the hot water tap:

The two taps together can fill a container in 80 minutes:

Answer: full house,fairly oddparents, the simsons

edit^^^ a movie is clueless or even mean girls

Step-by-step explanation:

Answer:

9 Pizzas

Step-by-step explanation:

The first angle will be 77.33°.

It should be noted that the total angles will be 180°.

This will be illustrated as:

8x + 8 + 8x + 8 + 2x + 8 = 180

18x + 24 = 180

18x = 180 - 24

18x = 156

x = 8.667

The first angle will be

= 8x +8

= 8(8.667) + 8

= 77.33°

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At a point on the ground 15ft from the base of a​ tree, the distance to the top of the tree is 1 ft more than 2 times the height of the tree. Find the height of the tree.

The height of the tree is 8ft.

Given that,

A right triangle has two legs, which are height and (15 feet) from the base.

The hypotenuse is 15 feet from the base to the top of the tree.

or 2(height) + 1ft.

Let us take a as height of the tree; b=distance from base=15 ft; c=hypotenuse=2a+1ft

The area of the square created on the hypotenuse of any right triangle is equal to the sum of the areas of the squares formed on the triangle's legs:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]a^{2} +(15ft)^{2}=(2a+ 1ft) ^{2}[/tex]

[tex]a^{2} +225ft^{2}=4a^{2} +4a+1\\ 0=3a^{2}+4a-224\\ 0=(a-8)\times(3a+28)\\[/tex]

Now,

a-8=0 (or) 3a+28=0

a=8 (or) a=[tex]\frac{-28}{3}[/tex]

Therefore, The height of the tree is 8ft.

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Answer:

It's C, a function cannot have an x paired with 2 different y's

Answer: The 12 songs for $10

Step-by-step explanation: 12 / 10 = 1.2 while 12 / 0.85 = 14.11