Which triangle congruence postulate or theorem proves that these triangles are congruent?

The estimated value of √4.98 +2.16×7.35 = 18.1075

Operators are Mathematical methods that emphasize particular actions like adding, dividing, and adding multiple times are known as Mathematical Operations. The basic mathematical operations are 4 types they are Addition, Subtraction, Multiplication, and Division.

While we use mathematical operations to solve a problem we will use the BODMAS rule as given below

B - Brackets (Calculating numerical parts in brackets comes first )

O - Orders   (Simplify powers and square roots)

D - Division  (Complete division parts )

M - Multiplication (complete multiplication)

A - Addition   (complete additions part )

S - Subtraction ( End with subtractions )  

Here we have

√4.98 +2.16×7.35

Here the value of √4.98 = 2.2315  (approximately)  

From above value

=> √4.98 +2.16×7.35

=> 2.23 + 2.16 × 7.35  

By using the BODMAS rule

=> 2.23 + 15.876       [ Do multiplication ]

=> 18.106                   [ Do adding ]

Therefore,

The estimated value of √4.98 +2.16×7.35 = 18.106 (approx)

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Tyler's statement is incorrect , SMHZD and SAXPD are correct congruence for the given pentagons.

a.

Tyler's congruence is incorrect because line SD is a line of symmetry for ASMHZDPX so ASDPX and SMHZD are about SD symmetry therefore the figure division must be start from S or D.

b.

SMHZD And SAXPD are correct congruence for the given pentagons because they both start with the letter S which is in the line of symmetry SD.

Therefore Tyler's statement is incorrect , SMHZD and SAXPD are correct congruence for the given pentagons.

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Answer:

x=90. 3x=270

Step-by-step explanation:

120•6=45•2+135•2+4x

X=90

3X=270

The measure of angle R, found through the angle sum property of a triangle and corresponding angles in ΔKIX and ΔREM is m∠R = 61°

Corresponding angles are angles in two congruent or similar triangles, located between a pair of segments in one triangle that are congruent to a pair of segment in the other triangle

The details of the question are;

The transformation that maps triangle ΔKIX unto triangle ΔREM is a rotation.

Please see attached the example drawing of ΔKIX and ΔREM created with MS Excel.

A rotation transformation is a rigid transformation, therefore, the side lengths and shape of triangle ΔKIX is preserved in the image of the triangle, ΔREM

The measure of angle ∠X in triangle ΔKIX is ∠X = 117°

The measure of angle ∠I in ΔKIX is ∠I = 2°

∠K + ∠I + ∠X = 180° (angle sum property  of a triangle)

The measure of angle ∠K = 180° - (∠X + ∠I)

Therefore;

m∠K = 180° - (117° + 2°) = 61°

m∠K = 61°

Based on the naming of the triangles ΔKIX and ΔREM, we have;

∠K corresponds to ∠R, ∠I corresponds to ∠E, and ∠X corresponds to angle ∠R, therefore;

∠K ≅ ∠R, ∠I ≅ ∠E, ∠X ≅ ∠R, which by the definition of congruency indicates;

∠K = ∠R, ∠I = ∠E, ∠X = ∠R

m∠R = m∠K = 61°

m∠R = 61°

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Reason:

Multiply both sides by 5 to undo the division.

w/5 = 3

5*(w/5) = 5*3

w = 15

As a way to check, plug in w = 15

w/5 = 3

15/5 = 3

3 = 3

We get a true statement at the end to confirm w = 15 is indeed the answer.

Proportionately, the average class size at Lexington Middle School a decade ago was 20.

Proportion is the ratio or relative numerical relationship of two or more values equated to one another.

Proportions are fractional values, showing how much of a number is contained in another or the whole.

Proportions are depicted as decimals, fractions, or percentages.

The current average class size at Lexington Middle School = 21 students

The percentage increase in class size = 5%

Let the current average class size = 105% (100 + 5)

The previous decade's average class size = 21/105% = 20

Thus, a decade ago, the average class size was 20, proportionately increasing by 5%.

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Step-by-step explanation:

x² - 7 = 6x

x² - 6x - 7 = 0

the generation solution to such a quadratic ratatouille

ax² + bx + c = 0

is

x = (-b ± sqrt(b² - 4ac))/(2a) =

= (6 ± sqrt((-6)² - 4×1×-7))/(2×1) =

= (6 ± sqrt(36 + 28))/2 = (6 ± sqrt(64))/2 =

= (6 ± 8)/2 = (3 ± 4)

x1 = 3 + 4 = 7

x2 = 3 - 4 = -1

the sum of both solutions is : 7 + -1 = 7 - 1 = 6

Given that Rebecca is x years old and Mary is 8 yrs older than her , so the age of Mary will be;

[tex]\longrightarrow Age_{Mary}= x+8 [/tex]

Again Jim is 3 times older than Mary, so the age of Jim will be,

[tex]\longrightarrow Age_{Jim}= 3(x+8) [/tex]

Now we are given that the sum of their ages is 67. So that ;

Equation in terms of x :-

[tex]\longrightarrow x + (x+8) +3(x+8)=67 [/tex]

Solving the equation,

[tex]\longrightarrow x + x +8+3x+24=67\\ [/tex]

[tex]\longrightarrow 5x + 32 =67\\ [/tex]

[tex]\longrightarrow 5x = 67-32 \\ [/tex]

[tex]\longrightarrow 5x = 35\\ [/tex]

[tex]\longrightarrow x = 7 [/tex]

So ,

And we are done!

Answer:

y=16

Step-by-step explanation:

Notice that the first equation was multiplied by 4, so you have to multiply the result by 4 to keep it as a true equation

Celine should estimate 3400 tiles in a mosaic.

The total number of tiles in mosaic will be sum of coloured tiles and blank tiles. So, there is a variety in coloured tiles. To calculate this we will perform multiplication.

Number of coloured tiles = Number of different coloured tiles × Number of each different coloured tile

Number of coloured tiles = 7 × 472

Performing multiplication on Right Hand Side of the equation

Number of coloured tiles = 3304

Total number of tiles = 3304 + 96

Performing addition on Right Hand Side of the equation

Total number of tiles = 3400 tiles

The estimate will be 3400 tiles.

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The slope and the y-intercept of the function y = -2x+3 is -2 and (0,3).

The slope of a line is the ratio of the amount that y increases as x increases some amount. The slope is constant (the same) anywhere on the line.

Slope is calculated as (change in y divided by change in x). i.e.

slope=dy/dx

The y- intercept of a graph is the point where the graph intersects the y-axis.

The x-coordinate of any point on the y-axis is 0. So the x-coordinate of a y-intercept is 0.

So the y-intercept of the function y = -2x+3 is y= 3 i.e. (0,3).

slope = dy/dx = d/dx(-2x) + d/dx(3) = -2

⇒slope = -2.

Therefore slope of y = -2x+3 is -2 and y-intercept is (0,3).

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According to scale drawing, the actual length of route is 84 metres.

The calculations will be based on the concept of ratio and proportion -

Ratio in real :: Ratio of scale drawing

Let us assume the actual length of route be x.

28 : x :: 1 : 300

Writing the ratio as fraction

28/x = 1/300

Cross multiplying the fraction

x = 28 × 300

Performing multiplication on Right Hand Side of the equation

x = 8400 cm

Converting centimetres to meters. As per the known fact, 100 cm = 1 metre

8400 cm = 84 meters

Thus, the actual length is 84 meters.

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In proportionate stratified random sample of 120, 72 are Whites, 24 are latinos, 18 are blacks, and 6 are others.

From the question, we have

In a population of 250 students, 60% are whites, 20% are latinos, 15% are blacks, and 5% others.

sample = 120

Number of whites = 60% of 120

= 0.6 × 120

=72

Number of latinos = 20% of 120

= 0.2 × 120

=24

Number of blacks = 15 % of 120

= 0.15 × 120

= 18

Number of others = 5% of 120

= 0.05 × 120

= 6

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. We frequently do one of the fundamental mathematical procedures. Using multiplication tables is the most obvious application. To represent the repetitive addition of one number to another, mathematicians multiply two numbers. Natural numbers, fractions, integers, whole numbers, and other types of numbers can be included. When M is multiplied by n, M is either added to itself 'n' times or subtracted from itself.

Complete question:

select all that apply. In a population of 250 students, 60% are Whites, 20% are Latinos, 15% are Blacks, and 5% others. In a proportionate stratified random sample of 120, ______.

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Answer:

14

Step-by-step explanation:

The sum of three consecutive numbers as an expression is 3x + 3.

An expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Let the consecutive numbers be x, x + 1 and x + 2.

The sum of three consecutive numbers as an expression will be:

= x + x + 1 + x + 2

= 3x + 3.

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Answer:

[tex]-\frac{9}{10} x+5[/tex]

Step-by-step explanation:

[tex](-\frac{3}{5} x-7)-(-12+\frac{3}{10} x)\\\\-\frac{3}{5} x-7+12-\frac{3}{10} x\\\\-\frac{3}{5} x+5-\frac{3}{10} x\\\\-\frac{6}{10} -\frac{3}{10}x+5\\\\-\frac{9}{10} x+5[/tex]

Answer:

here you go..

Step-by-step explanation:

please mark brainliest...

25/10 is used as tenths.

From the question, we have

5/2 = 5*5/2*5 = 25/10

25/10 is used as tenths.

Multiplication:

Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

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Answer:

Step-by-step explanation:

2b - 15 = 33

    +15    +15

2b = 48

b = 24

Answer:

bro that question is absolute whack

Answer:

$14.25

Step-by-step explanation:

2 bags of cat food costs $9.50. To calculate the price of one, divide $9.50 in half.

$9.50/2 = $4.75

Now, to calculate how much she'd have to spend on 3 bags, you need to multiply $4.75 by 3

$4.75 x 3 = $14.25

by using division, we can find what 1 bag of cat food is worth. Then, we can use multiplication to find what 3 bags of cat food are worth

Worth of One Bag

where w is the worth of one bag

Set up equation                                                                   w = 9.50/2

Solve                                                                                    w = $4.75

Worth of Three Bags

where w is the worth of 3 bags

Set up equation                                                                   w = 4.75(3)

Solve                                                                                    w = $14.25

If the price is increased from $25 to $50 the demand will fall whereas when the price is decreased from $50 to $25 the demand for haircut will increase.

The price has the greatest influence on a product's demand. The cost of a thing and the demand for it generally go hand in hand. Demand of a product is inversely proportional to its price.

Lower prices increase demand, while higher prices decrease it. This is a result of consumer satisfaction levels.

The  other factors influencing consumer demand are:-

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To make GH the hypotenuse of the right triangle formed by combining the three points, we need to know the coordinates of point J. (3,-8).

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

Given is a coordinate grid with the points G (-5, -8) and H (3, 7) plotted on it. In order for GH to be the hypotenuse of the right triangle created by joining the three points, point J is plotted.

Thus, to make GH the hypotenuse of the right triangle formed by combining the three points, we need to know the coordinates of point J. (3,-8).

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Answer:

23-1=22

Step-by-step explanation:

The unknown coefficients will be b = -2/3   and  c = -12

Vertex of a graph is a point where two lines meet in a parabola.

It is represented as ( h , k ) = ( -2a / b , f( -2a / b) )

Vertex is given to us in the question as (3 , -5)

Also coefficient of [tex]x^{2}[/tex] is given to us as 1

Now by putting values of 'a' and vertex in the vertex formula we get

3 = -2a / b

b = -2/3

Now put value of b in y = [tex]x^{2}[/tex] + bx + c

b = -2/3

As we know that vertex (3 , -5) are points on parabola for the given function we will replace it with x and y respectively

x = 3

y = -5

-5 = [tex]3^{2}[/tex] + ( -2/3 ) * 3 + c

-5 = 9 - 2 + c

c = -12

Therefore b = -2/3 and c = -12.

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The number is 161.

Given,

In the question:

3/7 of a number is 69.

To find the what is the number?

Now, According to the question:

Based on the given condition :

Formulate:

3/7 of a number is 69.

=> 3/7 =  69

=> 3 = 69 x 7

Calculate the product or quotient.

=> 3 = 483

Divide by 3 on both sides:

=> 483/3

= 161

Hence, The number is 161.

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