Give that the line m is parrallel to the line r and m<IHB = (5y+39)° and m<HBC =(3y+85)° ,find m<CBG SHOW ALL WORK​

from the given option the slope of the line -5/2 is shown by the equation   [tex]$y=-\frac{5}{2} x-4$[/tex]that is option B).

An indication of how steep a line is is its slope. When calculating slope mathematically, "rise over run" is used (change in y divided by change in x). Measured by slope, a line's steepness. The slope increases in steepness as it gets larger. It becomes flatter the smaller the slope. Along with indicating whether a line is going up, down, horizontal, or vertical, slope also indicates the direction of the line.

From the given option the slope of the line [tex]$-5 / 2$[/tex] is shown by the equation [tex]$y=\frac{2}{5} x[/tex] that is option[tex]$\mathbf{B}$[/tex] ) and this can be determined by using the slop intercept form.

Given :

Equation -[tex]$y=\frac{2}{5} x-1$[/tex]

First, determine the slope of the given line by using the slope-intercept form. The slope-intercept is given by the equation:

[tex]$$y=m x+c$$[/tex]

Now, compare equation (1) with the above equation.

[tex]& \mathrm{m}_1=\frac{2}{5} \\[/tex]

[tex]& \mathrm{c}=-1[/tex]

For a line to be perpendicular to the other line the product of the slope of both the line is equal to -1, that is:

[tex]$$m_1 m_2=-1$$[/tex]

So, the slope of the line perpendicular to the line [tex]$y=\frac{2}{5} x-1$[/tex] is:

[tex]$$\mathrm{m}_2=-\frac{5}{2}$$[/tex]

So, from the given option the slope of the line [tex]$-5 / 2$[/tex] is shown by the equation [tex]$y=-\frac{5}{2} x-4$[/tex] that is option[tex]$\left.\mathbf{B}\right)$[/tex].

The complete question is,

Which of the following is the equation of a line that is perpendicular to the graph of y = 25x − 1?

A. y = 25x − 4

B. y = −52x − 4

C. y = −25x − 4

D. y = 52x −

To learn more about slope of Line refer to:

https://brainly.com/question/27212023

#SPJ1

The cost of 4.25kg of potatoes will be £2.38

A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 4(for every one boy there are 3 girls) 1 / 4 are boys and 4 / 5 are girls. 0.20 are boys (by dividing 1 by 5). It can also be defined as the size, number, or amount of one thing or group as compared to the size, number, or amount of another.

The cost of 2.5kg of potatoes is £1.40

Therefore the cost of 1kg potatoe = 1.40/2.5 = £0.56

This means that the cost of 4.25 kg = 0.56× 4.25

= £2.38

Therefore the cost of 4.25kg of potatoes is £2.38

learn more about proportion from

https://brainly.com/question/19994681

#SPJ1

The differential of the function y - x² sin 8x with respect to x is dy/dx - 2x sin 8x + 8x² cos 8x

To find the differential of the function y = x² sin 8x, we can use the standard notation dy/dx which represents the rate of change of y with respect to x.

To calculate dy/dx, we need to use the product rule, which states that the derivative of the product of two functions is the derivative of the first function times the second function plus the first function times the derivative of the second function.

Let z be the given function,

z= y - x² sin 8x

The derivative of x² is 2x

The derivative of sin 8x is 8 cos 8x

So,

dz/dx= dy/dx - (2x)(sin 8x) + (x²)(8cos 8x)

= dy/dx- 2x sin 8x + 8x² cos 8x

Read more about Derivatives:

https://brainly.com/question/29020856

#SPJ4

Answer: Number 3 ( the one with the numbers added that are 4,13)

Step-by-step explanation:

The center of the ellipse is (2, -8).

The endpoints of the major axis are 10 units from the center.

The endpoints of the minor axis are 9 units from the center.

To graph the ellipse, connects (2, 2), (11, -8), (2, -18) and (-7, -8) with  smooth curve.

What is ellipse?

An ellipse in mathematics is a plane curve that has two focal points and is such that the sum of the two distances from any point on the curve to the focal points is a constant. It generalizes a circle, a special kind of ellipse in which the two focal points coincide.

Given:

The equation of ellipse is,

[tex]\frac{(x-2)^2}{81}+(\frac{(y+8)^2}{100}=1[/tex]

Since, the general form of ellipse is,

[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]

where,

(h, k) is the center of ellipse

a is the minor axis

b is the major axis.

Here (h, k) = (2, -8) is the center of the ellipse.

9 is the minor axis and 10 is the major axis of the ellipse.

Also the graph of ellipse connects (2, 2), (11, -8), (2, -18) and (-7, -8) with  smooth curve.

Hence,  the center of the ellipse is (2, -8).

The endpoints of the major axis are 10 units from the center.

The endpoints of the minor axis are 9 units from the center.

To graph the ellipse, connects (2, 2), (11, -8), (2, -18) and (-7, -8) with  smooth curve.

The graph of the ellipse is attached below.

To know more about ellipse, click on the link

https://brainly.com/question/9702250

#SPJ1

Answer:

18

Step-by-step explanation:

9+9

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{ASSUMING}[/tex]

[tex]\mathsf{(10 - 6)^2 + 8 - 22}[/tex]

[tex]\mathsf{= (4)^2 + 8 - 22}[/tex]

[tex]\mathsf{= 4^2 + 8 - 22}[/tex]

[tex]\mathsf{= 4 \times 4 + 8 - 22}[/tex]

[tex]\mathsf{= 16 + 8 - 22}[/tex]

[tex]\mathsf{= 24 - 22}[/tex]

[tex]\mathsf{= 2}[/tex]

[tex]\huge\text{Therefore, your answer should be: \huge\boxed{\mathsf 2}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

On solving the provided question, we can say that expression is as follows r(m) . s(m) = [tex]241.^{-0.25} ]( 6 * 10^6) m^{ 0.2 }][/tex] = [tex]1.4446 X 10^9 m^{0.05}[/tex]

In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.

expression is as follows

r(m) . s(m) = [tex]241.^{-0.25} ]( 6 * 10^6) m^{ 0.2 }][/tex] = [tex]1.4446 X 10^9 m^{0.05}[/tex]

the average number of lifetime heartbeats for a rhino with a mass of 2310 kilograms is [tex]1.7 X 10^8 KG[/tex]

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ1

The true statements are:

√(-1) is an imaginary number.

There are no real numbers that satisfy the equation  x = √-1.

A number that produces a negative square root is referred to as an imaginary number. An imaginary number, which has no real-world equivalent, is essentially the square root of a negative number.

Given:

We know that the value of √(-1) is i (iota) which is imaginary number.

So, √(-1) is an imaginary number.

Now, Negative numbers don't have real square roots since a square is either positive or 0.

So, x = √-1 have no real solution.

Now, x² = -1 again have no real solution because

x = √-1 and , Negative numbers don't have real square roots.

Learn more about Imaginary Number here:

https://brainly.com/question/6748860

#SPJ1

Answer:

8+10(x+3)+x

=18(x+3)+x

=18x+54+x

=19x+54

Rachel rode her bike a total distance in miles over the course of two days, as shown by the expression: -5x + 168.

Let x be the duration of Rachel's bicycle ride yesterday.

Distance = speed * time

Thus, the equation becomes.

= 9x + 14(12 - x)

On solving;

= 9x + 168 - 14x

=-5x + 168

Rachel rode her bike a total of miles over the course of two days, as shown by the expression: -5x + 168.

To know more about the speed of object, here

https://brainly.com/question/29725219

#SPJ1

Where one would like to see either a World War II movie or one that is based on a comic book character but does not feature aliens. The set of movies they are interested in seeing is: "WWII U (Comix n Aliens')" (Option C) Note that this is a prompt related to sets.

Sets are an orderly collection of items in mathematics that can be expressed in set-builder or roster form. Sets are often expressed by curly brackets; for example, A = 1,2,3,4 is a set.

Some examples of sets include the empty set, finite set, equivalent set, subset, universal set, superset, and infinite set.

Learn about Sets:
https://brainly.com/question/8053622
#SPJ1

The required correct equations are 2x - 7 = -11 and -95x = -190. Options C and D are correct.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
As of the given example in the question,
Putting x = -2 to in every op[tion,

A,
X + 8 = 5
-2 + 8 = 5
6 ≠ 5

Similarly,
B. -7 ≠ -10
C. -11 = -11
D. -190 = -190

Thus, the required correct equations are 2x - 7 = -11 and -95x = -190. Options C and D are correct.

Learn more about equations here:

brainly.com/question/10413253

#SPJ1

Answer:

1) yes 2) no 3) yes 4) no 5) no 6) no

Step-by-step explanation:

Horizontal line test

The likelihood of choosing a green marble is unlikely.

Probability is used to determine how likely it is that a random event would happen. The probability that a random event occurs lie between 0 and 1.  The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.

The probability of picking a green marble is 1/4 or 0.25. 0.25 is less than 0.5. This means it is unlikely the event would occur.

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ1

The sine, cosine, and tangent are the three fundamental trigonometry operations. The cotangent, secant, and cosecant functions are derived from these three basic functions.

Numerous applications of trigonometry and its operations can be found in daily life. For instance, it is used in astronomy to determine how far away nearby stars are, in geography to determine the distance between landmarks, and in the satellite navigation system.

Here,

The three basic categories of trigonometric functions are sine, cosine, and tangent.

And

from the primary functions, one can derive the three cotangent, secant, and cosecant functions.

Therefore , the solution is cotangent, secant, and cosecant functions are derived from these three basic functions .

To know more about trigonometry visit:-

brainly.com/question/29002217

#SPJ1

The complete question is " Is a slash used on a zero or an O to differentiate between the two trigonometric ratios? ".

For a savings account with an initial deposit of $425.00, the account balance after 9 years if the account earns 2.7% simple interest annually is

The account balance is solved by adding the initial deposit to the simple interest.

The simple interest is solved using the simple interest formula

The formula is stated as

Simple interest = Principal *  time *  rate / 100

In the problem the give data include

principal = $425.00

rate= 2.7%

time = 9 years

plugging in the values

Simple interest = Principal *  time *  rate / 100

Simple interest = 425 * 9 * 2.7 / 100

Simple interest = 10327.5 / 100

Simple interest = 103.275

The account balance

=  initial deposit + simple interest

= 103.275 + 425

= $528.28

Learn more on simple interest at:

https://brainly.com/question/29785550

#SPJ1

To find the percent full of the popcorn box, we need to divide the volume of popcorn in the box by the total volume of the box, and then multiply by 100 to convert the result to a percentage.

First we need to find the total volume of the box:

V = l x w x h

V = (2 1/2 in x 2 3/4 in x 5 in) = (5/2 in x 7/4 in x 5 in) = (35/4 in^3) = 8.75 in^3

Now we can calculate the percent full:

percent = (26 in^3 / 8.75 in^3) x 100 = 2.97 x 100 = 297%

The popcorn box is 297% full.

It's worth noting that 297% means that the popcorn box is almost 3 times full

Answer: 806.59300

Step-by-step explanation:

Answer: 40 tickets

Step-by-step explanation:

1 ticket=$4

160/4=40

$4x40tickets=$160

Therefore , algebraic solution is 55 is the total amount of money Peter earns raking lawns in August and September

The total amount of money Peter earns from raking lawns in August and September can be found by solving the equation 5 x 8 + 10 = m, where m represents the total money earned.

Here,

In this equation, 5 represents the number of lawns Peter raked in August, 8 represents the amount he earns for each lawn, and 10 represents the amount he earned from raking lawns in September.

When this equation is solved, the result is m = 55, meaning that Peter earned a total of $55 from raking lawns in August and September.

This can be seen by multiplying 5 times 8, which is 40, and then adding 10, which brings the total to 55.

Therefore, the total amount of money Peter earns from raking lawns in August and September is $55.

To learn more about the algebraic , visit:

brainly.com/question/24989150

#SPJ1

Reason:

tan = opposite/adjacent

tan(D) = EF/DE = d/f

tan(F) = DE/EF = f/d

Comparing d/f with f/d, and we find they are reciprocals. The two fractions multiply to 1.

Answer:

y is x - 5.

Step-by-step explanation:

x - y = 5
x = y + 5
we can isolate y by subtracting 5 from both sides of the equation:

x = y + 5
x - 5 = y

Therefore, the solution for y is x - 5.

Answer:

Step-by-step explanation:

d e e z n u t z

Answer:

Step-by-step explanation:

8) a) In a parallelogram, opposite sides are equal and parallel.

               BC = AD

         12x - 1 = x  + 21

         12x      = x + 21  + 1

              12x = x + 22

         12x - x = 22

                11x = 22

                  x = 22 ÷ 11

                 x = 2

AD = x + 21

     = 2 + 21

AD = 23

In a parallelogram, adjacent angles are supplementary.

   ∠A + ∠D = 180°

[tex]\sf y - 9 + \dfrac{y}{2}=180\\\\ \dfrac{2y}{2}+\dfrac{y}{2}=180+9\\\\[/tex]

        [tex]\dfrac{3y}{2}=189\\\\y =189*\dfrac{2}{3}\\\\y=63*2\\\\y = 126[/tex]

∠D = 126 ÷2

     = 63

In parallelogram, opposite angles are congruent.

 ∠B = ∠D

   ∠B = 63°

Linear equation: If the maximum power of the variable/symbol in an equation is one, then the equation is called a linear equation.

An example of a linear equation is x + y = 10.

Definition of Degree: The maximum power in an equation of variable is known as a degree.

So, the degree of a linear equation is 1.

Linear equations are equations based on the first order. The linear equations are explained for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e., only one variable), then it is known as a linear equation in 1 variable.

If a linear equation can have more than one variable. If the linear equation has two or more two variables, then it is called a linear equation with two variables, and so on.

To know more about Linear Equations:

https://brainly.com/question/19770987

#SPJ4

Therefore , the solution of the given problem of ratio comes out to be  300,000.

A portion or fraction in mathematics displays how frequently one number is included in another. For instance, if there are eight orange and six lemons in a fruit plate, the proportion of oranges to lemonade is eight to six, or 8:6, which is comparable to the ratios 4:3 or the decimal 1.333.

Here,

We must use our grasp of proportionality to establish the maximum amount of shares that can be owned in this exercise.

The 20 huge variations will allow Blackbird Oil to store a total of 300,000 gallons.

The details in the assertion can be summed up as follows:

20 brand-new, sizable oil storage tanks.

The ratio is 4:5 for 12,000 gallons.

Because of the proportional ratio of 4.05, the enormous receptacles are 1.25 times larger than the ordinary ones, giving us:

=> 1200 * 1.25 = 15000

=> 15000 * 20 = 300000

As a result, the supplied problem's answer equals 300,000.

To know more about ratio , visit

https://brainly.com/question/13419413

#SPJ1

Answer: B, the second answer is correct.

Step-by-step explanation: Hope it helps, mark brainliest and give thanks please!

The evaluation of Jared's expression for the average cost per ride at the amusement park indicates;

Q1) The factors are;

First factor = (39.87 + 2·(x - 5)

The second factor = (1/x)

The factor that represents the total cost of Jared's trip is the first factor

Q2) The terms in the first factor are;

The general admission charge = 39.87

The fee for the rides Jared rides = 2·(x - 5)

The number of free rides = 5

The coefficient of the second term is 2

Q3) The cost per ride

Q4) 5 rides

A mathematical expression is a combination symbols and operators that together, produces the quantity in the context.

The expression Jared creates to determine the average cost is presented as follows;

Q1) The factors of Jared's expression are;

The first factor = (39.87 + 2·(x - 5)

The second factor = 1/x

The total cost of Jared's trip to the amusement park= (39.87 + 2·(x - 5)

The factor that is used to fined the unit rate Jared spends per ride = 1/x

Q2) The terms in the first factor are;

The coefficient of the second term of the first factor is 2, which represents the cost per ride

Q3) The coefficient of the second term in the first factor, 2, represents the amount Jared pays per ride in the amusement park

Q4) The number of rides Jared pays for is found using the second term of the fist factor, 2·(x - 5), the number of rides Jared rides, x less the 5, therefore, indicates;

Learn more about writing expressions here: https://brainly.com/question/24105484

#SPJ1

Answer:

Answers below

Step-by-step explanation:

a)solving for f(2)

f(2)= 5(2) - 3 (input the given value for the letter x)

f(2) = 10 -3 (multiply your inputed value with whatever is infront of it)

f(2) = 7 (Connect simmilar terms)

b) solving for f(32)

remember to follow the steps from above

f(32) = 5(32) - 3

f(32) = 160 -3

f(32) = 157

c) solving for f(-8)

we are going to end up on the negatives and thats okay. Not all answers have to be positive

f(-8) = 5(-8) -3

f(-8) = -40 -3

f(-8) = -43