The class can contain at most 28 students.

Answer:

Step-by-step explanation:

Options:

A. AC≅AC, Reflexive Property of Congruence

B. ∠ACB≅∠CAD, Alternate Interior Angles Theorem

C. ∠BAC≅∠DCA, Alternate Interior Angles Theorem

D. △ABC≅△CDA, SAS Triangle Congruence Theorem

Answer:

A and B and C

theres another answer right here that explains why

Answer:

[tex]x = 19[/tex]

Step-by-step explanation:

Given

Shape: Regular Dodecagon

Interior Angle = 8x - 2

Required

Determine x

The sum of n terms of a regular polygon is:

[tex]Sum=180(n-2)[/tex]

Sides of a dodecagon is 12; So, we have:

[tex]Sum=180(12-2)[/tex]

[tex]Sum=180(10)[/tex]

[tex]Sum=1800[/tex]

Each angle is gotten by dividing 1800 by 12

[tex]Angle = \frac{1800}{12}[/tex]

[tex]Angle = 150[/tex]

Equate this to 8x - 2:

[tex]8x - 2 = 150[/tex]

Solve for x

[tex]8x = 150 + 2[/tex]

[tex]8x = 152[/tex]

[tex]x = 152/8[/tex]

[tex]x = 19[/tex]

Answer

c)

Step-by-step explanation:

321÷12=26.75 ~ 27

Answer:

Therefore, 27 tables are needed to seat all of the visitors.

Step-by-step explanation:

In order to solve this question, we must divide 321 by 12, since there are 321 visitors, and each table seats 12 people.

321 ÷ 12 = 27 when rounded to the nearest whole number.

Therefore, 27 tables are needed to seat all of the visitors.

Hope this helps! :D

Selah needs to save 35.7% of her weekly pay she will need to save if she wants to sign her lease in 8 weeks.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Starting from the bottom in 8 weeks Selah will earn $(8×650).

= $5200.

The cost of renting the property for 2 months is $(2×825).

= $1650.

And 25% of one month's rent as a security deposit is,

= (25/100)×825.

= $206.25.

So, The total amount she needs to sign is $(1650 + 206.25).

= $1856.25.

Therefore, The percentage of her weekly pay she will need to save is,

= (1856.25/5200)×100.

= 35.69% or 35.7%

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Answer:

the square

Step-by-step explanation:

perpendicular = 90 degrees

Square (Option 1) has at least one pair of perpendicular sides

"Perpendicular means two lines, or sides, that meet at a right angle. A right angle is the measurement of 90 degrees."

"Perpendicular sides are at a 90-degree angle. Since they are so common, there is a special symbol to signify the sides are perpendicular without measuring."

Option 1

Squares are made up of two sets of parallel line segments, and their four 90° angles mean that those segments also happen to be perpendicular to one another.

Option 2

A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram.

Option 3

There are three angles in a triangle. These angles are formed by two sides of the triangle, which meets at a common point, known as the vertex. The sum of all three interior angles is equal to 180 degrees.

Option 4

A trapezoid is a quadrilateral with exactly one pair of parallel sides. Isosceles trapezoids have two sides which are equal sized and have the same angles between themselves and the bases.

Hence, Square (Option 1) has at least one pair of perpendicular sides

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Answer:

elisa made more withrawalss

Step-by-step explanation:

because when you divide elisa's total withrawal by the amaount of cash she withrew at a time would be 140/20=7.Whwn you compare that to francis's withrawal would be 270/45=6. 7>6 so elisa made more withrawals than francis

Answer:

elisa did da most

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Without solving anything, we can tell that the line that crosses these points is a horizontal line because both of the y-coordinates are the same. This tells us that the slope of the line is 0.

To prove this, we can find the slope of the line by plugging the two points,[tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex],  into the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]\frac{y_2-y_1}{x_2-x_1}\\\frac{5-5}{-17-(-9)}\\= \frac{0}{-17+9)}\\= \frac{0}{-8}\\= 0[/tex]

Therefore, the slope of the line that passes through the points (-9,5) and (-17,5) is 0.

I hope this helps!

Answer:

x=9

Step-by-step explanation:

subtract 22 from both sides, simplify 3x = 10x-63, subtract 10x from both sides of the equation, simplify -7x = -63, divide both sides of the equation by the same factor -7x/-7 = -63/-7, then simplify

The value of the variable 'x' is 9. Then the length of the side QR will be 49 units.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The triangles ΔQPR and ΔQRS are congruent triangles. Then the corresponding sides will be equal. Then the equation is given as,

PQ = QR

3x + 22 = 10x - 41

Simplify the equation, then we have

10x - 41 = 3x + 22

10x - 3x = 22 + 41

7x = 63

x = 63 / 7

x = 9

The length of the side QR is given as,

QP = 10 (9) - 41

QP = 90 - 41

QP = 49

The value of the variable 'x' is 9. Then the length of the side QR will be 49 units.

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Answer:

34 laps

Step-by-step explanation:

the specific answer is 33.3 but u have to round the whole number

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: f(x)= {6}^{x} [/tex]

we need to find f'(2) = ??

[tex]\qquad \sf  \dashrightarrow \: f {}^{ \prime} (x) = \displaystyle \sf \lim_{h \to0} \: \: \dfrac{f(x + h) - f(x)}{h} [/tex]

[tex]\qquad \sf  \dashrightarrow \: f {}^{ \prime} (x) = \displaystyle \sf \lim_{h \to0} \: \: \dfrac{6 {}^{x + h} - 6 {}^{x} }{h} [/tex]

[tex]\qquad \sf  \dashrightarrow \: f {}^{ \prime} (x) = \displaystyle \sf \lim_{h \to0} \: \: \dfrac{6 {}^{x + h} - 6 {}^{x} }{h} [/tex]

[tex]\qquad \sf  \dashrightarrow \: f {}^{ \prime} (x) = \displaystyle \sf \lim_{h \to0} \: \: \dfrac{6 {}^{x }( 6 {}^{h} - 1)}{h} [/tex]

[tex]\qquad \sf  \dashrightarrow \: f {}^{ \prime} (x) =\: 6 {}^{x} \: log_{e}(6) [/tex]

Now, plug in 2 for x ~

[tex]\qquad \sf  \dashrightarrow \: f {}^{ \prime} (2) =\: 6 {}^{2} \sdot log_{e}(6) [/tex]

[tex]\qquad \sf  \dashrightarrow \: f {}^{ \prime} (2) =\: 36 \sdot (1.79)[/tex]

[tex]\qquad \sf  \dashrightarrow \: f {}^{ \prime} (2) =64.44[/tex]

Answer:

  (-3/2, 0)

Step-by-step explanation:

You want the midpoint of line segment AB with end points A(-5, 5) and B(2, -5).

The midpoint of a line segment has coordinates that are the average of the end point coordinates.

  M = (A +B)/2

  M = ((-5, 5) +(2, -5))/2 = (-5+2, 5-5)/2 = (-3, 0)/2

  M = (-3/2, 0)

The midpoint of the line segment is (-3/2, 0).

Answer:  the expression would be

6000-p over 24

Step-by-step explanation:since we have given that

amount that liam has=250

amount that he and his classmates had=p

student $p will split=24

Answer:

250-p/24

Step-by-step explanation:

Khan

Answer:

Step-by-step explanation:

Given a land area of 3200 m² with a length of 80 m, you want the width, perimeter, and cost of digging at ₹25/m².

The formula for the area of a rectangle can be used to find the width of the plot.

  A = LW . . . . . . area is the product of length and width

  3200 m² = (80 m)W . . . . . fill in given values

  40 m = W . . . . . . . . . . . . divide by the coefficient of W

The width of the plot is 40 m.

The perimeter can be found using the formula ...

  P = 2(L +W)

Using the length and width we know, this is ...

  P = 2(80 m +40 m) = 2(120 m)

  P = 240 m

The perimeter of the plot is 240 m.

The cost of digging will be the product of the number of square meters and the cost of digging each one:

  digging cost = (3200 m²)×(₹25 /m²) = ₹80,000

The cost of digging the land is ₹80,000.

The distance between the points where the points are given as (2.4, -5.4) and (9.2-5.4) is 6.8 units

The points are given as

(2.4, -5.4) and (9.2, -5.4)

The distance between the points is calculated as

d  = √(x2 - x1)^2 + (y2 - y1)^2

Substitute the known values in the above equation

So, we have

d  = √(9.2 - 2.4)^2 + (-5.4 + 5.4)^2

Evaluate the sum in the above equation

So, we have

d  = √(9.2 - 2.4)^2 + (0)^2

Evaluate the difference  in the above equation

So, we have

d  = √(6.8)^2 + (0)^2

Evaluate the exponents in the above equation

So, we have

d  = √46.24 + 0

Evaluate the sum in the above equation

So, we have

d  = √46.24

Evaluate the exponents in the above equation

So, we have

d  = 6.8

Hence, the distance between the points where the points are given as (2.4, -5.4) and (9.2-5.4) is 6.8 units

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Answer:

She would need 42 cups of flour

Step-by-step explanation:

Answer:

The name of line of reflection for the pair of figures is, line (r).

Step-by-step explanation:

Line of reflection : It is a line that divide a figure in two half similar or identical figures.

Or we can say that, a line of reflection is a line that divide a figure into two mirror images of the figure.

In mathematical terms we can say that, a line of reflection is a line where each point present in a shape appears at equal distance on the opposite side.

From this we conclude that,

The line 'r' represent the line of reflection.

The line 'q' represent the line of symmetry.

The line 'p' represent the line of asymmetry.

Hence, the name of line of reflection for the pair of figures is, line (r).

Answer:

The are 7 ounces of combined meat and cheese in each sandwich (4+3 =7)

There were 13 sandwiches made in the hour (91 oz/7 oz = 13)

52 ounces of meat were used (4*13 = 52) If 13 sandwiches were made, and we know that 4 ounces of meat were used on each sandwich, 4*13 would tell us how many ounces of meat total were used.

39 ounces of cheese were used (3*13 = 39) If 13 sandwiches were made, and we know that 3 ounces of cheese were used on each sandwich, 3*13 would tell us how many ounces of cheese total were used.

You can check to see if the multiplication answers are correct by adding them (39+52 = 91)

I hope this helps you!

Answer:

13

Step-by-step explanation:

4+3=7

91 divided by 7 =13

Answer:

<AED = 65

Step-by-step explanation:

1. Find the value of "x"

Remember, verticle angles are congruent. A verticle angle is formed when two lines intersect, the verticle angles are the angles that are opposite from eachother.

This means that;

<AEB = <CED

Substitue int he values;

5x - 10 = 3x + 40

Inverse operations;

5x - 10 = 3x + 40

-3x         -3x

2x - 10 = 40

    +10     + 10

2x = 50

/2    /2

x = 25

2. Find the measure of <AEB

Subsitute in the value for "x" that was found;

<AEB = 5x - 10

5 (25) - 10

125 - 10

115

3. Find the measure of <AED

Use a linear pair, a linear pair is two angles whose sum is 180 degrees. If one can put two angles together, and they form a straight line, then it is a linear pair.

<AEB and <AED are make a linear pair because together they form line BD.

This means that;

<AEB + <AED = 180

Substitute in the values;

115 + <AED = 180

<AED = 65

Answer: 23

Step-by-step explanation:

When p =1 and q=7

Substitute the numbers for the alphabets accordingly and answer the equation

Answer:

a: 2

b:93

Step-by-step explanation:

x=3  

y-5

a)

4x-2y    given

4(3)-2(5)  substitution

12-10        multiply

2               subtract

b)

2x^2+3y^2       given

2(3^2)+3(5^2)  substitution

2(9)+3(25)       solve exponent

18+75               multiply

93

Answer:

A would be 2 assuming x=3 and y=5

B would be 36 + 225 . So I believe the answer is 261

Step-by-step explanation:

I hope you ace your test

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

the price charged for 100 students reflects the cost per student that applies to the order as a whole.

100 * 6 = $600, so the fixed cost is 750-600 = 150.

...

We can check this by substituting in the other equation.

Does 150*6 + 150 = 1050?

150*6=900

900+150 = 1050.

Yes, it does

...

We can express this relationship by the equation:

y = mx + b

where

y = total cost

m = $6 per student

x = number of students

b = fixed costs = 150

y = 6x + 150

The caterer’s fixed cost and the rate per student served is $6 and $150

This method is actually called method of elimination to solve a system of linear equations.

We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).

If we have equations:

[tex]a_1x + b_1y = c_1\\a_2x + b_2y = c_2[/tex]

then, if we want to eliminate variable x, then we have to multiply equation 1 with

[tex]-\dfrac{a_2}{a_1}[/tex]

which will make coefficient of x in first equation as

[tex]a_1 \times - \dfrac{a_2}{a_1} = -a_1[/tex]

Then adding both equation will eliminate the variable x.

Given;

Cost of 100 students= $750

Cost of 150 students= %1050

Let the fixed cost of caterer be x

and the cost per student be y

x+100y=750...(1)

x+150y=1050...(2)

solving the above equations;

50y=300

y=6

x=750-600=150

The fixed cost is $150, while the per-student cost is $6.

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Answer:

B 244

Step-by-step explanation:

You can split up the polygon into two separate rectangles, one smaller one on top and one bigger one below.

Area of smaller rectangle = 6 × (14-8)

                                          = 36

Area of bigger rectangle = 26 × 8

                                         = 208

Total area of polygon = 36 + 208

                                    = 244

Answer: 1 7/11

please mark as brainliest

Answer:

1 7/11

Step-by-step explanation:

Answer:

24 years

Step-by-step explanation:

Total = start*(1 + interest rate / amount of times compounded per month)^(years*amount of compounds per year)

6000 = 3000*(1+0.03/4)^(4x)

6000 = 3000* ((403/400)^4)^x

2 = ((403/400)^4)^x

x = log base-((403/400)^4) of 2 = x

x = 23.19

rounding down 23 years (but you probably want a year over that to get at least 6000, so 24)

Answer:

b

c

Step-by-step explanation:

First question: x - 6 means there is a shift to the right.

Second Question: substitute the given values into the original equation for appropriate transformations.

Answer: 3 |x-4| + 2, because vertical stretch multiplies x, horizontal shifts are subtracted or added to x, and vertical shifts are added or subtracted to the entire function.

The movement of the curve in the graph is shifting of the curve in vertical or the horizontal direction.For the first function the graph horizontal shift of 6 units right and for the second function when it is  vertical stretch of 3, a horizontal shift to the right 4 units, and a vertical shift up 2 units the transformation function is,

[tex]g(x)=3|x-4|+2[/tex]

The equation of the graph given in the problem is,

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

The movement of the curve in the graph is shifting of the curve in vertical or the horizontal direction.

          [tex]g(x)=\sqrt{x-6} [/tex]

There is no change with the constant value. Thus the graph will not move in vertical direction. The change in variable of a unit result in the graph shift in horizontal direction.

As it shift -6 thus graph horizontal shift of 6 units right.

[tex]f(x)=|x|[/tex]

Vertical stretch of 3 means multiply the function with unit 3.

[tex]g(x)=3|x|[/tex]

Horizontal shift to the right 4 units means the difference of 4 units in the variable,

[tex]g(x)=3|x-4|[/tex]

Vertical shifts up with 2 units means the addition of the constant 2.

[tex]g(x)=3|x-4|+2[/tex]

Hence, for the first function the graph horizontal shift of 6 units right and for the second function when it is  vertical stretch of 3, a horizontal shift to the right 4 units, and a vertical shift up 2 units the transformation function is,

[tex]g(x)=3|x-4|+2[/tex]

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slope-intercept form: y = mx + c, where m is the gradient and c is the y-intercept!!!

x - 26y = 52

-26y = -x + 52

y = x/26 - 2

Answer: The answer is 30 or B

.

Step-by-step explanation:

Answer: B. 30 ft

Step-by-step explanation: we know that 3 is corresponding to 15 and 6 to x. 3 was multiplied by 5 to get to 15, so the same must be done to 6 to get the value for x. 6 * 5 = 30.