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The statements that are true if the given pairs of triangles are congruent are:

1. ∠A ≅ ∠T; AC ≅ QT; ∠C ≅ ∠Q; ∠ABC ≅ ∠QRT

2. ∠ATF ≅ ∠LYZ; FT ≅ YL

3. B

4. ∠TAW ≅ ∠ERS; AW ≅ ER; WT ≅ SE

5. ∠GER ≅ ∠WAC; GE ≅ AC; AW ≅ ER; RE ≅ WA

If two triangles are congruent to each other, every part of the triangles that corresponds to each other will have congruent or equal measures.

1. Triangle ABC and TRQ are congruent to each other, therefore, the statements that are true are:

2. Triangle FAT and LZY are congruent to each other, therefore, the statements that are true are:

3. Two triangles are congruent if and only if their corresponding parts are congruent, therefore, the answer is: B.

4. Triangle WAT and ERS are congruent to each other, therefore, the statements that are true are:

5. Triangle GRE and CWA are congruent to each other, therefore, the statements that are true are:

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u vu h,j h j h jcuvugogjjvjccjcjcvk

FISRT RIGHT THEN EQUATION IN THE GENERAL FORM y=mx+c

y=-4-15x

In the y intercept the x coordinate in the axis is 0.

therefore we can plug in the value 0 in the place of x and solve for y

[tex]y = - 4 - 15(0) \\ y = - 4[/tex]

The y intercept is -4.

Answer:

[tex](x, y) \rightarrow (-x, y)[/tex]

(Option 3)

Step-by-step explanation:

Let's take into account ΔABC.

A(-2, -2) B(-1, 1) C(3, 2)

This process is entirely trial and error. Try out the different transformations and see which one results the image from the preimage.

In this case, our transformation is (-x, y). Let's put this into trial and error:

[tex]A(-2, -2) \rightarrow A'(2, -2)\\B(-1, 1) \rightarrow B'(1, 1)\\C(3, 2) \rightarrow C'(-3, 2)[/tex]

Simply, the values we got for the image is the same as provided in the question. So we know that option 3 is the right answer.

Answer:

Mackenzie the answer is the 3rd option:)

Step-by-step explanation:

The pieces of candies that William gave away is 15.

The linear expression that can be used to determine the number of candies left is:

Pieces of candies left = initial pieces of candies - number of candies given out

Pieces of candies left when William gave out candies : 40 - x

Pieces of candies left when Hannah gave out candies : 70 - 3x

If they have the same pieces of candies left, the two above expressions would be equal.

40 - x = 70 - 3x

3x - x = 70 - 40

2x = 30

x = 15

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The domain of the  f(x)=3x-2 form a graph is -∞ < x<∞. See the attached graph. The interval notation is given as (-∞, ∞)

It is to be noted that the domain of a function is the set of input or argument values for which the function is real and defined. Note from the graph that the function has no undefined points nor domain constraints. Hence, the domina is expressed as the notation:

-∞ < x < ∞.

If one were to solve for x,

Then

y = 3x -2

=

3x -2 = y [Flipping the eqation]
3x -2 + 2 = y + 2 {Added two to both sides]

Hence,

3x = y +2

Divide both sides by 3 to get:

3x/3 = (y+2)/3
x = [1/3y] + [2/3]

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By applying algebra, radical and power properties, we find that the simplified form of (√5 + √6) · (√7 - √5) is equal to √35 + √42 - 5 - √30.

How to simplify a product of two binomials with radical numbers

Herein we need to apply algebra and radical and power properties to simplify the expression described in the statement, whose procedure is shown below:

(√5 + √6) · (√7 - √5)     Given

(√5 + √6) · √7 + (√5 + √6) · (- √5)     Distributive property

√7 · √5 + √6 · √7 + √5 · (- √5) + √6 · (- √5)     Distributive property

√35 + √42 - 5 - √30     (- a) · b = - a · b/ √a · √b = √a · b/Result

By applying algebra, radical and power properties, we find that the simplified form of (√5 + √6) · (√7 - √5) is equal to √35 + √42 - 5 - √30.

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Answer:

Option 1, 4

Step-by-step explanation:

[tex]\frac{108}{8}=\frac{27}{4}=6.75 \\ \\ 169<170<196 \implies 13<\sqrt{170}<14 \\ \\ \therefore \frac{108}{8}<\sqrt{170}[/tex]

Using proportions, it is found that:

A proportion is a fraction of a total amount, and the measures in the context of a problem are found using basic arithmetic operations such as multiplication and division.

One application of proportions is for ratio problems, as fractions are built from the ratios to find the equivalent amounts.

Caleb noticed that for every 10 orders of cheese pizza there were 7 orders of pepperoni pizza, 5 orders of sausage pizza and 8 orders of mushroom pizza, hence the fraction of Pepperoni pizzas out of the total is given by:

Pepperoni = 7/(10 + 7 + 5 + 8) = 7/30 of the total.

If 35 pepperoni pizzas were ordered, the total number is found as follows:

7x/30 = 35

7x = 30 x 35

x = 30 x 5

x = 150 pizzas.

2 out of every 25 pizzas were burned, hence the number of burned pizzas is given by:

2/25 x 150 = 2 x 6 = 12 pizzas.

The cheese fraction is given by:

10/30.

Hence, out of 360 pizzas, the number is given by:

10/30 x 360 = 10 x 12 = 120 cheese pizzas

The mushroom fraction is given by:

8/30.

Hence, out of 360 pizzas, the number is given by:

8/30 x 360 = 8 x 12 = 96 mushroom pizzas

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Using  "if" and "only if" for the second definition of ligament gives:

A ligament is a bond of tissue if and only if, it connects bones or hold organs in place.

This is a term used to refer to a type o statement that brings two conditional statement together, Most of the times biconditional statements use if and only if to combine the two conditions.

In the given statement, the two conditions are

Biconditional statements ensures that the two statements are maintained for the statement to be valid.

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Answer:

4.08.

Step-by-step explanation:

8/100

= 0.08

Answer:

16

Step-by-step explanation:

Divide to find this answer.

If you're allowed to use a calculator, divide 80÷5 or

80/5 This will give you the answer 16.

If you are not permitted to use a calculator, see attached image for an example of a long division

Answer:

lol its 2x your afh

Step-by-step explanation:

a) Number of points the team has  is 18

b) Number of games lost by the team is  9

a) How many point does the team have?

Number of wins the team has  = W= 5

Number of draws the team has  = D= 3

Number of points of the team = P

The equation is given by,

P = 3W +D

P= 3*5 + 3

P = 15+3

P = 18

Number of points the team has 18 points

b) How many games has this team lost?

Number of points of the team =P = 50

Number of draws the team has = D= 14

Number of wins the team has  = W

Number of matches played by the team =T= 35

The equation is given by,

P = 3W +D

50 = 3W+ 14

3W = 50- 14

3W = 36

W = 12

Rewriting as equation,

Lost matches = Total matches - (Win matches+ Draw matches)

                      = T - (W+ D)

                      = 35 - (12+ 14)

                      =35 - 26

                      = 9

Number of games lost by the team = 9

What is an equation?

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The sum of exterior angles of a regular octagon

=360°

Each exterior angle of a regular octagon

=360°/8

=45°

Each interior angle of a regular octagon

=180°-45°=135°

Hope it helps you : )

From the given statements, the statement which is true when comparing numbers using a number line is :

The number left is always the least.

The definition of a number line is a straight line that shows numbers arranged at equal distances.

A number line is often shown horizontally and can be extended indefinitely in any direction.

Moving right causes the numbers to increase (or become greatest), while moving left causes the numbers to decrease ( or becomes least).

Larger numerals on the number line are always to the left of smaller numbers. Positive numbers have a negative opposite, and negative numbers have a positive opposite. Because it is defined as the distance from zero (the origin) on a number line, the absolute value of any real number is always positive.

Hence the right statement is that the number left is always the least.

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D. The number left is always the least

Exponents and power - [tex]12y^3 - 4y^3 = 8y^3[/tex]

What are exponents and power?

Exponents and powers are two techniques for simplification of extremely big or extremely small numbers. For instance, we can write 3 x 3 x 3 x 3 as [tex]3^{4}[/tex], where 4 is the exponent and 3 is the base, to demonstrate 3 x 3 x 3 x 3 in a straightforward manner. There is a claim of power throughout the entire sentence [tex]3^{4}[/tex].

How do you perform exponentiation operations?

Rule 1: All operations enclosed in parenthesis must be simplified.
Rule 2 states that all exponents should be simplified, starting from the left.
Rule 3: When multiplying and dividing, always go from left to right.
Rule 4: Always add and subtract by moving from left to right.

[tex]8y^{3}[/tex] is the correct answer to the given equation.
[tex]12y^{3} - 4z^{3}\\ = (12-4)y^{3}\\= (8)y^{3}\\ =8y^{3}[/tex]

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Answer:

h-4^10

Step-by-step explanation:

The difference of h and 4 is h-4

to the 10th power, is putting 10 as the exponent.

Answer:

7

Step-by-step explanation:

A(3,2) is the element located at row 3, column 2 and that is 7

Answer: 7

Step-by-step explanation:

A₃₂ - the first index is a line, the second index is the column

Their intersection is this number

This number is 7

Answer:

b

Step-by-step explanation:

The graph was horizontally stretched by a factor of 2.

The rational numbers are represented by P, Q, R, and S is mathematically given as

This is further explained below.

We make use of the idea of a number line, which displays the actual numbers in ascending order from left to right and from left to right to left.

One unit represents the distance between point U and point T.

It is separated into three sections that are all the same size.

Generally, the equation for TR is mathematically given as

TR = RS = SU

Therefore

TR = RS = SU = 1/3

[tex]R = -1 - (1/3)\\ R= -4/3\\\\S = -1 - (2/3) \\S= -5/3[/tex]

Considering the value of P

[tex]P = 2 + 1/3 = 6/3 + 1/3[/tex]

P= 7/3

Considering the value of Q

[tex]Q = 2 + 2/3 = 6/3 + 2/3[/tex]

Q = 8/3

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It will take you 45 more minutes to finish walking the remaining distance.

If you have already walked 550 ft, subtracting it to the total distance you need to walk, then the remaining distance will be:

10,000 ft - 550 ft = 9450 ft

Rate is the relationship between two quantities of different units. Rate of speed is the amount of distance over total time.

If you walk at the rate of 210 ft/min, then the time it will take you to finish the remaining distance will be:

rate = distance/time

time = distance/rate

time = 9450 ft/(210 ft/min)

time = 45 mins

Hence, it will take you 45 more minutes to finish the walk.

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Answer: Correct option is B)

Put x=3y=4

(3x+4y):(5x+6y)=(3×3+4×4):(5×3+6×4)

                                      =(9+16):(15+24)

                                      =25:39

Step-by-step explanation:

I WILL USE THE REASONS CORRESPONDING ANGLES AND ANGLES ON THE STRAIGHT LINE. SINCE THE DIAGRAM LACKS FULL LABELLING THAT MAKES ME UNABLE TO EXPLAIN MORE USING DEMONSTRATION

[tex]3x - 3 + (4x - 6) = 180 \\ 3x + 4x - 3 - 6 =180 \\ 7x - 9 = 180 \\ 7x = 180 + 9 \\ 7x = 189 \\ \frac{7x}{7} = \frac{189}{7} \\ x = 27[/tex]

ATTACHED IS THE SOLUTION x=27°

Answer:

x = 27

Step-by-step explanation:

3x - 3 and 4x - 6 are same- side exterior angles and sum to 180° , that is

3x - 3 + 4x - 6 = 180

7x - 9 = 180 ( add 9 to both sides )

7x = 189 ( divide both sides by 7 )

x = 27

The value of  x³(x³ - 18) if x(x - 3) = -1 is -1.

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

We have been given that

x(x - 3) = -1 ....... eq(1)

Find out the value of

x³(x³ - 18) ........eq(2)

We first simplify the value of x in equation (1)

x(x−3)=−1

Divide by x on both side

x(x−3)/x = −1/x

(x−3)=−1 /x

Rewrite as

x + 1/x = 3

Taking cube on both sides

(x + 1/x)³ = 3³

x³ + (1/x)³ = 27 - 3×3

x³ + (1/x)³ = 27 -  9

x³ + (1/x)³ = 18

Multiply by x³

x^6 + 1 = 18x³

x^6 - 18x³ = -1

x³(x³ - 18) = -1

Hence, the value of equation x³(x³ - 18) is also -1.

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Answer:

59.6°

Step-by-step explanation:

For given data y varies directly with x and the constant of variation is 2.

And the equation is y = 2x

In this question, we have been given some values of x and y.

we need to determine whether y varies directly with x.

If so, find the constant of variation and write the equation.

x = -2, -4, -16

y = -4, -8, -32

Consider the ratio y/x

-4/-2 = 2

-8/-4 = 2

-32 / -16 = 2

As y/x ratio is constant, y varies directly with x.

and the constant of variation is 2.

Also, the equation from given x, y values would be,

y = 2x

Therefore, for given data y varies directly with x and the constant of variation is 2.

And the equation is y = 2x

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Answer:

a=41

Step-by-step explanation:

Answer:

a = 49

Step-by-step explanation:

41 + a + 90 = 180

solve for a

hope this helped

have a good day ^^

A statement is 2 less than the quotient of a number y and 3. The algebraic expression is (y/3)-2.

Given that,

A statement is 2 less than the quotient of a number y and 3.

According to question,

An algebraic expression can be written by use of 2  less than the quotient of a number y and 3.

To evaluate an algebraic expression is to determine its value when a certain number is used in lieu of the variable. In order to evaluate an expression, we first replace the variable with the supplied number, then we streamline the expression using the order of operations.

Here, expression is (y÷3)-2=(y/3)-2.

If we substitute the values 0,1,2,3,4...

We get the values between -7 and 4.

Therefore, the algebraic expression for the statement  2 less than the quotient of a number y and 3 is written as (y/3)-2.

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Answer:

£72.00

Step-by-step explanation:

60*20% (0.20) = 12
60 (original price) + 12 = 72
therefore, the original price of the bag was £72.00