If mBAD = 120° and m CAD = 80°, find mBAC.​

Answer:

1)B:63°

2)A:59°

Step-by-step explanation:

1.ABC is a right triangle at C then angle ACB=90°(right angle)

Angle CAB=27°(see the given)

measure of the angles in any triangle is 180°

then angle CBA=

measure of all the angles - (measure ACB+measure CAB)

=180°-(90°+27°)

=63°

2. Same explanation of angle B:

in the right triangle DEF: angle DEF=90°

angle D=31°(given)

Then measure of angle A=180°-(angle E + angle D)

=180-(90+31)=59°

Answer:q= (2C - fb)/f

Step-by-step explanation:

multiplying both sides by 2 we have,

2C = fb + fq,

subtract both sides by fb

fq = 2C - fb,

dividing both sides by f

q= (2C - fb)/f

Answer:

.

Step-by-step explanation:

Answer:

all work is shown and pictured

Final answer:

To find the equation of a line perpendicular to y = -4x + 1 that passes through the point (-7, 1), determine the slope, use the point-slope form, and convert it to slope-intercept form.

Explanation:

To find the equation of a line perpendicular to y = -4x + 1 that passes through the point (-7, 1), we first determine the slope of the perpendicular line. The slope of a line perpendicular to a line with slope m is the negative reciprocal of m. So, the slope is 1/4. Next, we use the point-slope form of a line y - y₁ = m(x - x₁) and plug in the point to find the equation in slope-intercept form, y = mx + b.

Plugging in (-7, 1) and slope 1/4 into the point-slope form, we get y - 1 = (1/4)(x + 7). Simplifying gives us y = (1/4)x + 2. Hence, the equation of the line perpendicular to y = -4x + 1 that passes through the point (-7, 1) is y = (1/4)x + 2.

Answer:

The volume of shipping cube is  [tex]15\frac{5}{8}\ cubic\ feet.[/tex]

Step-by-step explanation:

Given:

The dimensions of a shipping cube of 2 1/2 feet.

Now, to find the volume of shipping cube.

Side of cube = [tex]2\frac{1}{2}\ feet.[/tex]

Side = [tex]\frac{5}{2}\ feet[/tex]

So, to get the volume of cube we put formula:

[tex]Volume=(side)^3[/tex]

[tex]Volume=(\frac{5}{2})^3[/tex]

[tex]Volume=\frac{125}{8}[/tex]

[tex]Volume=15\frac{5}{8} \ cubic\ feet.[/tex]

Therefore, the volume of shipping cube is  [tex]15\frac{5}{8}\ cubic\ feet.[/tex]

Answer:

b

Step-by-step explanation:

Answer:

Vertical lines

Step-by-step explanation:

Linear relations are not functions when they appear graphically are vertical lines.

" Function is defined as  when the relation between variables are such that each input has one and only one output."

According to the question,

Linear relation are defined as y = ax + b

A. Horizontal lines  is expressed by equation y = 0x + b

For each x = 0 , 1, 2, 3, .... value of y = b. For each input single output 'b' is defined.

Horizontal lines represent the function.

B. Linear relation represents straight line .

For example y = 2x +3

For each x we have single output y.

Therefore linear relation represents function.

C. Vertical lines x = k , here for x=k there are many outputs y = 0,1, 2, 3....

Vertical line does not represent function.

Hence, linear relations are not functions when they appear graphically are vertical lines.

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Answer:

See the explanation.

Step-by-step explanation:

Given function is [tex]6x^2+7x-49[/tex]

We will find its root by factoring.

In any quadratic function of the form [tex]ax^2+bx+c[/tex]

We will two numbers that when multiplied gives [tex]ac[/tex]. And when that two numbers are added it turns to [tex]b[/tex].

So, in [tex]6x^2+7x-49[/tex].

[tex]a=6,\ b=7.\ c=-49[/tex]

And [tex]ac=-294[/tex]

So, we need to find two numbers that when multiplied give [tex]-294[/tex],and when added give [tex]7[/tex].

Now, we can see

[tex]-14\times21=-294\\And\ -14+21=7[/tex]

In this manner, we can rewrite [tex]7x[/tex] as [tex]-14x+21x[/tex].

Answer:

42

Step-by-step explanation:

120*35=4200

4200/100=42

Answer:

You solve equations algebraically by using equations to answer and having variables rather than the arithmetic way (doing the work).

Ex: instead of 20÷5=4 (arithmetic), you do

20=5x

Non-vertical parallel lines have equal slopes, while slopes of non-vertical, non-horizontal perpendicular lines are negative reciprocals of each other. Vertical lines are defined as having an infinite slope, thus they must be non-vertical to consider their slopes.

When considering the slopes of lines on a graph with perpendicular axes, like the x-axis and the y-axis, we can draw several conclusions about parallel and perpendicular lines. If two non-vertical lines are parallel, their slopes are equal, because the tilt of the lines with respect to the horizontal axis is the same. For example, if we have two equations of lines in the form y = mx + b, where m represents the slope and b represents the y-intercept, parallel lines would have the same value of m.

If two lines are perpendicular and neither line is parallel to an axis, then their slopes are negative reciprocals of one another. This holds true because the product of the slopes of two perpendicular lines is -1. For example, if the slope of one line is a, the slope of the line perpendicular to it will be -1/a.

It is necessary for the lines to be non-vertical because a vertical line does not have a well-defined slope; its slope is considered infinite. Therefore, the definition of perpendicular lines in terms of slope only applies to non-vertical lines.

9y - 4 - 11y + 7

Terms: 9y, -4, -11y, 7

Like terms: 9y and -11y

Coefficient : 9, -11

Constants: 7, -4

Solution:

Given expression is:

9y - 4 - 11y + 7

We have to find the terms, like terms, coefficient and constants

Each term in the expression is called terms

It includes, numbers, variables also

Terms : 9y and -4 and -11y and 7

A coefficient is a number used to multiply a variable

Here the terms with variables are 9y and -11y

Coefficient : 9, -11

"Like terms" are terms whose variables are the same and thier powers is also same

Like terms : 9y and -11y

The constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number

Constants: 7 and -4

Answer:

2 : 3 dots up

2.25 : 3 dots up

2.5 : 4 dots up

2.75 : 4 dots up

3 : 2 dots up

3.25: 0 dots up

3.5 : 2 dots up

The dot plot for the considered data is plotted based  on how many times each observation occured (given by frequencies), as plotted in the image attached.

Suppose we're measuring something whose values are numeric. For each value of that thing we observe, we plot a dot above that value in number line. Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing we did.

Thus, suppose if we observed the value 'x', then we will make a dot above 'x'. If there is already a dot over 'x', then we will make a new dot over that dot.

If instead of only observations, the table of unique observation and frequency is given, then we plot dots that many times as the count written in the frequency table.
Thus, if its written that the value 2 has 3 has its frequency, then we plot 3 dots one over the other above the value 2 in the horizontal axis.

For this case, we're given the unique observation to frequency table as:

Diameter (cm)          Frequency

2                                       3

2.25                                  3

2.5                                    4

2.75                                  4

3                                       2

3.5                                   2

That means, over the value 2, plot 3 dots (as diameter 2 occured 3 times), and so on, over the value 3.5, plot 2 dots.

The dot plot of the considered data is attached below.

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Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange - 7x + 9y = 18 into this form

Add 7x to both sides

9y = 7x + 18 ( divide all terms by 9 )

y = [tex]\frac{7}{9}[/tex] x + 2 ← in slope- intercept form

with slope m = [tex]\frac{7}{9}[/tex] and y- intercept c = 2

Answer:

The slope is -3

Step-by-step explanation:

Hello!

Slope is measured by lattice points on the graph, and the formula is Rise/Run.

To calculate the slope of this graph, we must find two points that intersect coordinates. I will choose coordinates (0,2) and (1,-1).

Now to find the rise, we must find the difference in the y coordinates.

To find the run, we must find the difference in the x coordinates.

Now divide:

Answer:

I would predict that 6 marigolds would bloom

Answer:

6

Step-by-step explanation:

360 is a full turn so, 360 divided by 60 is 6

Answer:

Function 1 has a negative y-intercept, and Function 2 has a positive y-intercept.

Step-by-step explanation:

As shown by the graph, Function 1 has a negative y-intercept.

Function 2 y-intercept:

y = mx + b

y = -0.5x + b

1 = -0.5(2) + b

1 = -1 + b

b = 2

Function 2 has a positve y-intercept.

Answer:

A. 25°

Step-by-step explanation:

We are given a circle and two intersecting lines of circle meets at s and form an angle 34° at S.

Also, we have W and X points on circle that form a minor arc and T and R makes a major arc of angle 93°.

In order to find the value of minor arc WX, we need to apply following formula:

Subtends angle on intersection of lines  =  [tex]\frac{Major Arc- Major Arc} {2}[/tex]

Plugging values in above formula, we get

34= [tex]\frac{93 - x }{2}[/tex]

On cross multiplication, we get

34 × 2 = 93-x

68 = 93 -x

x = 93-68

x= 25.

Hope this helps and you understand !!!!!!

[tex]x< \frac{-10}{7}[/tex]

Solution:

Given inequality is –7x > 10.

To reduce this inequality to solve for x.

⇒ –7x > 10

Multiply by –1 on both sides of the inequality to reverse the expression.

⇒ –7x × (–1) < 10 × (–1)

⇒ 7x < –10

To simplify the expression, divide by 7 on both sides of the expression.

⇒ [tex]\frac{7}{7}x< \frac{-10}{7}[/tex]

⇒[tex]x< \frac{-10}{7}[/tex]

Hence [tex]x< \frac{-10}{7}[/tex].

Answer:

yes, the remainder is 6.

Step-by-step explanation:

the remainder is how many is left over if the divisor doesn't go perfectly into the dividend.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The remainder of the division $35,286 by 7 using long division is 6.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

3x + 5 = 4 is an expression.

We have,

$35,286 ÷ 7

Now,

7) 35286 ( 540

  -35      

       286

     -280

            6

7 x 5 = 35

7 x 40 = 280

We see that,

Using long division,

The remainder is 6.

Thus,

The remainder of the division $35,286 by 7 using long division is 6.

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Answer:

200- software (x)          225- video game (y)    = 425 items

Step-by-step explanation:

software- 200 = $10,000      video-225 = $7,875

                              total= $17,875

200x + 225y = $17,875

Answer:

Step-by-step explanation:

No. of white bands = 15% of 360 = (15/100)*360= 54

No.of red bands = 360 - 54 = 306

No. bands remaining = 360 - 140 = 220

No. of remaining white bands = 20% of  220= (20/100)*220 = 44

No. of remaining red bands = 220 - 44 = 176

No. of red band used = No.of red bands - No of remaining bands

= 306 - 176 = 130

Answer:

The increasing quickly part is B.

The decreasing quickly part is D

The decreasing slowly part is A.

The constant part is C.

And the increasing slowly part is E.

Step-by-step explanation:

See the attached graph.

Here, the graph represents the viewing trend of a reality show. We have to match each phrase to the section of the graph it describes.

Now, the increasing quickly part is B.

The decreasing quickly part is D

The decreasing slowly part is A.

The constant part is C.

And the increasing slowly part is E. ( Answer )

A. Yes the table represents a proportional relationship

B. The constant of proportionality is 1.2

Step-by-step explanation:

Two quantities are proportional if:

∵ Total wight in pounds ⇒ 12  ,  18  ,  30  ,  60

∵ Number of books ⇒ 10  ,  15  ,  25  ,  50

- Divide each two corresponding data to check if all they give

   the same constant or not

∵ 12 ÷ 10 = 1.2

∵ 18 ÷ 15 = 1.2

∵ 30 ÷ 25 = 1.2

∵ 60 ÷ 50 = 1.2

- That means the total wight is equal to constant times the

   number of books

∴ Total wight = 1.2 Number of books

∴ The total wight and the number of books are in a proportional

    relationship

A. Yes the table represents a proportional relationship

∵ Total wight = 1.2 Number of books

∴ The constant of proportionality = 1.2

B. The constant of proportionality is 1.2

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Answer:

33/4

Step-by-step explanation:

8x4 +1 = 33

Answer:

33/4

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

7x +4=3x-20

4x=-24

x= -6

The given problem can be translated into the equation 7x + 4 = 3x - 20. By solving this equation, we find out that the number x is -6.

In this mathematical problem, we can define the number we are looking for as x. Based on the problem, we have the equation 7x + 4 = 3x - 20. This equation comes from the problem statement that 'four more than seven times a number is the same as twenty less than three times the number'.

Next, we can solve for x by subtracting 3x from both sides to get 4x + 4 = -20. Then, to isolate x, we subtract 4 from both sides to get 4x = -24. Finally, we divide by 4 on both sides and find that x = -6, which is the solution.

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Final answer:

The expression (889 x 27) + 50 is greater than 889 x 27, because adding 50 to any product will always result in a larger number.

Explanation:

The student's question is asking to compare the result of the expression (889 x 27) + 50 with 889 x 27, without actually calculating the precise values.

First, let's evaluate the structure of the expressions. When we have an expression of the form (a x b) + c, adding any number c to the original product of a and b will always result in a value greater than the original product. This is a basic property of arithmetic progression.

Based on this property, we know that (889 x 27) + 50 is definitely greater than 889 x 27 because we are adding a positive number (50) to the original product, hence the sum must be larger.

Answer:

The slope of straight line in the graph is

m = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Slope of a given line is [tex]m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} }[/tex]........(1)

The point (-2,0) lie on x-axis in the graph and another point ( 0, 1) lie on y- axis.

so [tex](x_{1} , y_{1}) = (-2,0) and (x_{2} , y_{2}) = (0,1)[/tex]

substitute these values in equation (1)

[tex]m = \frac{1-0}{0-(-2)}[/tex]

[tex]m = \frac{1}{2}[/tex]

slope of given line is [tex]m = \frac{1}{2}[/tex]

Answer:

4 7/12

Step-by-step explanation:

3 19/12 = 3 + 19/12 = 3 + 12/12 + 7/12 = 3 + 1 + 7/12 = 4 7/12