Find the missing number so that the equation has no solutions.

2 x + 4 = – 3 x – 18 + blank x

Explanation:

SAS = side angle side

The tickmarks tell us which sides are congruent to one another. This forms one S of SAS.

The other S would be the shared overlapping sides between the triangles. We're using the reflexive property here.

The marked angles in red are congruent to one another, which refers to the 'A' in SAS. We have two pairs of congruent sides, and a pair of congruent angles between those sides. This allows us to use the SAS rule.

SSS can't be used since we don't know anything about the third pair of sides.

Length of DF is 24cm.

If one figure may be produced from the other by a single transformation, or by a series of transformations, such as translations, reflections, rotations, and/or dilations, then and only then are two figures said to be similar. When there is a similarity transformation, the transformed image has the same shape as the original. There will always be similar varieties of triangles, quadrilaterals, and polygons. For instance, squares and equilateral triangles are both similar shapes. We know the lengths of comparable sides are proportional if two polygons resemble one another.

Given,

Two triangles are similar,

DF = AC (3)

DF = 8(3)

DF = 24

Length of DF is 24cm.

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Including interest on the principal the total loan amount is  $67800

A loan occurs when one or more individuals, businesses, or other entities lend money to additional individuals, businesses, or other entities.

Interest on the loan = 30000 × 0.18 × 7 = $37800

Total amount to be paid = $ 30000 + $ 37800 = $67800

Hence he owes a total of $67800 to the bank.

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Answer:

0.00128

Step-by-step explanation:

1.28 x 10^-1 x 10^-2

1.28 x 0.1 x 0.01

1.28 x 0.1 x 0.01

0.00128

The equation to find C = no. of max day × rent of one day

The cost of renting table saw for max day = 160$

How to find rent for max days :

Henry paid 32$ for two days ,

so for 1 day = 32/2 = 16$

$16 is rent of table for one day.

The maximum length of time a customer can rent the saw is 10 days.

so, need to find rent for 10 days,

Cost of renting the table saw for 10 day = 10 × 16$

                                                                  = 160$

How to calculate percentage :

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For the given set of functions, the correct graph is given below.

The link between lines and points is described by a graph, which is a mathematical description of a network. A graph is made up of some points and the connecting lines. It doesn't matter how long the lines are or where the points are located. A node is the name for each element in a graph.

Bar graphs, circle graphs, and line graphs are the three most often used types of graphs. Different types of data can be displayed using different types of graphs.

Figure 1 illustrates a graph, which is a graphic that explicitly depicts data along two dimensions.

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Answer:

1:4

Step-by-step explanation:

6 triangles

2 squares

total number of shapes = 6 + 2 = 8

ratio of squares to total = 2/8 = 1/4

Answer:    1:4

The properties of the graph are

The equation of the function is given as

f(x) = (x - 2)(x + 6)

The above equation is a quadratic function.

Next, we plot the equation on a graph (see attachment)

Set x = 0 to determine the y-intercept

y-intercept = (0 - 2)(x + 6)

y-intercept = -12

Expand the function to determine the symmetry axis

f(x) = x^2 - 2x + 6x - 12

Differentiate and set to 0

2x - 2 + 6 = 0

This gives

x = -2 --- axis of symmetry

Substitute x = -2 in the function to calculate the vertex/Min/Max

f(-2) = (-2 - 2)(-2 + 6)

f(-2) = -16

This means that

Direction = Up, Min = -16 and Vertex = (2, -16)

Set the function to 0 to determine the roots

(x - 2)(x + 6) = 0

Solve for x

x = 2 and x = -6

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Answer:

478 / 479

Step-by-step explanation:

6% of 368 is 22.08.

5 days = 6% x 5 = 30%.

30% of 368 = 110.4

110.4 + 368 = 478.4

492 people will be infected with the virus in 5 days.

An equation contains one or more terms with variables connected by an equal sign.

We have,

Number of people infected = 368

Rate of spreading = 6%

We can make an equation for the number of people infected in x days.

y = 368 x [tex](106/100)^x[/tex]

y = 368 x [tex]1.06^x[/tex]

Substitute x = 5

y = 368 x [tex]1.06^5[/tex]

y = 492.467

y = 492

Thus,

492 people will be infected with the virus in 5 days.

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Answer: 216.77

Step-by-step explanation:

Answer:to question 1:55

Step-by-step explanation: area of purple 10 * 8=80 and then we subtract the area of the circle which is 25 so 80 minus 25=55

I did this like 3 weeks ago in 7 grade advance maths.

First find the 15% of $5,200 to know how money they spend on clothing.

(15*5,200)/ 100 = $780

They budget 25% of the 15% budget amount for Evan's clothing

(25*780)/100 = 195 for each month

195*6 = $1,170 for the six-month period

The estimated totals for the six-month period is

$1,278 + $75 +$70 = $1,423

Make the subtraction between the six month period and the estimated totals for the six-month period:

$1,170 - $1,423 =-253

$253.00 is the amount that Evan have to paoy out of his own pocket.

Answer: The median number of siblings is 3.

Step-by-step explanation:

Put all of the numbers in STAT, Edit on your TI-84 Graphing Calculator.

Press STAT again and then slide over to CALC and hit 1-Var Stats.

Press ENTER and then 2ND, 2 for the FreqList, hit enter twice.

Scroll down to Med.

The median should equal 3.

Answer:[tex]\frac{3}{5}[/tex]

Step-by-step explanation:

2(3x - 5) = 4x + 2

Using distributive property, we can write the equation as:

2(3x) - 2(5) = 4x + 2

⇒ 6x - 10 = 4x + 2

⇒ 6x - 4x = 10 + 2

⇒ 2x = 12

⇒ x = 12/2

⇒ x = 6

The value of x is 6

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The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included.It also goes by the name quadratic equations.The quadratic equation has the general form ax2 + bx + c = 0.where a, b, and c are numerical coefficients and x is an unknown variable.

What are the solutions to this equation?

22²-10x+12x

=484= -10x+12x

484=2x

2x=484

x=484/2

x=242

−10x+12x=1×x

Add the words in

2x=1×x

Simplify\s2x=x

Add or take away on both sides

2x−x=0

Take the terms x=0 out.

Evaluate 1×x=3x

Add the terms x=3x together.

Add or take away on both sides

x−3x=0

Remove the terms 2x=0.

Divide both sides by 2x to get 20.

​Simplify −2−2x​=0

Simplify x=0

Evaluate\s3x=−6x

Add or take away on both sides

3x+6x=0

9x=0 plus terms

Split the sides.

99x​=90

​Simplify99x​=0

Simplify x=0

Evaluate−6x=−2x

Both sides should be added together, 6x+2x=0.

the expressions "4x=0"

Split the sides.

−4−4x​=−40

​Simplify−4−4x​=0

Simplify x=0

Evaluate−2x=6x

2x6x=0 adds or subtracts both sides.

Remove the terms 8x=0.

Divide both sides by 8 to get 80.

​Simplify−8−8x​=0

Simplify x=0

Evaluates 6x=−3

Split the sides.

66x​=6−3

​Simplify 66x​=−21

​Simplify x=−21​\s⎧​x=242x=0x=0x=0x=0x=0x=−21

​​Simplify

⎧​x=242x=0x=−21

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Answer:

y = -1/3 x

Step-by-step explanation:

what is the slope intercept form for x+3y=0

Slope intercept form solves for y:

x + 3y = 0

subtract x from both sides:

x + 3y - x = 0 - x

3y = -x

divide both sides by 3:

3y/3 = -x/3

y = -1/3 x

The graph intersect y axis at (0, 6) and x axis at (0, -8).

The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.

Usually, data that varies over time is represented with a line graph.

Given:

-3x+4y=24

Now, plotting the given graph

Thus, the graph intersect y axis at (0, 6) and x axis at (0, -8)

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Answer:if that is 68 get should be 68 degrees too

Step-by-step explanation:

Step-by-step explanation:

68+68+y=180

136+y=180

y=180-136

y=44°

T°=90-44

T°=46°

x+x+46=180

2x=180-46

2x=136

x=136÷2

x=38°

Answer:

I'm not quite sure what you're trying to get but if you wanted it simplified the answer is 8^32 and if you needed to rewrite the expression the answer is 2^96

Answer:

[tex]8^{32}[/tex]  They are looking for the exponent  k = 32

Step-by-step explanation:

[tex](8^{8}) ^{^{4} }[/tex]  this means that we have

[tex]8^{8}[/tex] four times

[tex]8^{8}[/tex] x [tex]8^{8}[/tex] x [tex]8^{8}[/tex] x [tex]8^{8}[/tex]  Each one of these is 8 8's

(8x8x8x8x8x8x8x8)x(8x8x8x8x8x8x8x8)x(8x8x8x8x8x8x8x8)x(8x8x8x8x8x8x8x8)

How many 8s is that?  32.

The power or powers principal tells us that we can just multiply the exponents.  (8 x 4) = 32

Plan 1 is more economical than plan 2.  0.04y + 11 > 30

Therefore,

We can point to the digit of calls as "y"

From plan 1, the Total monthly charge is $30

From plan 2, the Fix charge is $11 with $0.04 per call

We can express the cost of the "y" call as( $0.04y)

From plan2, The monthly charge can be expressed as (0.04x + 11)

a) Use an imbalance to find the number of monthly calls for which Plan 1 is more economical than Plan 2.

Here, Plan 1 is more economical than plan 2.

0.04y + 11 > 30

Multiply both sides by 100

0.04y . 100 + 11.100 > 30.100

Refine

4 y+1100>3000$

Subtract 1100 from both sides

4 y+1100-1100>3000-1100

Simplify

4 y>1900

Divide both sides by 4

[tex]$\frac{4 y}{4} > \frac{1900}{4}[/tex]

Simplify

y>475

b) in case, more than 375 calls are made, then the economical plan is plan 1

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Answer:

no

Step-by-step explanation:

The ratios 19:20 and 3:4 are not equivalent. Both of them are in their simplest form.

Answer:

Step-by-step explanation:

Jan used the total amount for fabric 57/56 yard.

The amount of fabric used by Jan can be calculated by performing addition of the individual values.

Total amount of fabric used = Amount used in one square + amount used in another square

Keep the values in formula to find the total amount of fabric used.

Total amount of fabric used = 7/8 + 1/7

Taking LCM, we get 56

Total amount of fabric used = (7×7 + 1×8)/56

Total amount of fabric used = (49 + 8)/56

Performing addition on Right Hand Side

Total amount of fabric used = 57/56

Thus, Jan used 57/56 yard of fabric.

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Amy's mistake was she took the angles as alternate interior angles, rather they form supplementary angles. The measure of both angles are  118 and 62.

The alternate interior angles theorem states that if a transversal connects two parallel lines, the alternate interior angles are identical in size. If we know the measure of the corresponding alternate interior angle, we may use this theorem to determine the measure of the alternate interior angle.

As per the given question,

both angles are not alternate interior angles,

rather both of the angles are supplementary angles.

This means that both form the sum of 180

⇒ 3n - 47 + n + 7 = 180

⇒ 4n - 40 = 180

⇒ 4n = 220

⇒ n = 55

∴ The measure of both angles will be 3n - 47 = 118 and n + 7 = 62

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From the right angled triangle given,

To find the missing side, x, of the triangle, Pythagorean theorem is applied

The Pythagorean theorem formula is

The dimensions of the triangle are

Substituting the values into the Pythagorean theorem formula above,

The missing side, x is 1mi

Answer is D

The number of cupcakes made by each person based on the limiting ingredients are;

Terrance → 6 cupcakes

Duri → 12 cupcakes

Habib → 12 cupcakes

Anika → 12 cupcakes

A limiting factor of a process is one that is used up completely upon completion of the process

The possible missing parts of the question are;

Recipe for making 12 cupcakes;

2 cups of flour

3/4 cups of sugar

2 eggs

3/4 cups of milk

125 g of butter

The ingredients each person has

Terrance; 1 cup of flour + 6 eggs

Duri; 12 cups of flour + 1,000 grams of butter

Habib; 3 cups of milk + 6 cups of sugar

Anika; 1 cup of sugar+ 4 cups of milk

Required;

The number of cupcakes each person can make on their own if each person has enough of the other ingredients.

Solution;

The question is with regards to the limiting variable or factor to making of the cakes

Terrance;

2 cups of flour bakes 12 cupcakes;

The number of cupcakes the 1 cup of flour Terrance has can bake is therefore;

(2 cups of flour)/2 = 1 cup of flour

(2 cups of flour)/2 bakes (12 cupcakes)/2 or 6 cupcakes

1 cup of flour bakes 6 cupcakes

Duri;

Duri has both more than the required number of cups of flour and grams of butter to make 12 cupcakes, therefore;

The number of cupcakes Duri can make given that he only has sufficient amounts of the other ingredients to make 12 cupcakes is therefore;

Habib;

Habib also has more than the required amount of milk and sugar, but is limited by the other ingredients of which he only has enough to make 12 cupcakes, therefore;

Anika;

Anika also has more than the prerequisite amounts of sugar and milk to make 12 cupcakes, therefore;

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Answer:

area of Δ K = 160 units²

Step-by-step explanation:

given scale factor of sides a , then

scale factor of areas = a²

here scale factor = 4 so factor of areas = 4² = 16

area of Δ J = [tex]\frac{1}{2}[/tex] × 5 × 4 = 10 units² , then

area of Δ K = 16 × 10 = 160 units²

Answer: 28

Step-by-step explanation:

Because BD ⊥ AC we can conclude that AB is equal to CB so we can set them equal to each other in an equation.

7x = 5x + 8

2x = 8

x = 4

Because X is 4 we can fill it into CB's expression.

5(4) + 8

20 + 8

28