State the theorem that proves the triangles are congruent. Then write a congruence statement.

The two ordered pairs that are solutions of the inequality are:

( 2 , 5 ) and  ( 0 , 0 )

Here we have the linear inequality:

2x - 3y < 15

To check which ordered pairs are solutions, we just need to evaluate these points on the inequality and see if it becomes true or not.

For example, with the first pair (2, 5) we will get:

2*2 - 3*5 < 15

4 - 15 < 15

-11 < 15

This is true, so (2, 5) is a solution.

The other solution is the fourth option (0, 0), so we get:

2*0 - 3*0 < 15

0 < 15

(0, 0) is also a solution.

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Pan tool do the data analyst use to select the area on the map representing Finland.    

What is data analyst?

A data analyst is working with the world happiness data in table. To use Pan tool to select the area on the map representing Finland.

A data professional examines data to uncover critical insights about a company's consumers and how the data may be utilized to address problems. They also share this information with corporate executives and other stakeholders.

Pan allows us to shift the map to focus on it or present the areas in the way we wish. Simply pick the Pan Option and move the map around to suit your needs. Alternatively, you may move the map by holding down the Shift key.

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Answer:

y=x-4

Step-by-step explanation:

if the slope is 1, the y intercept is -4

What is the equation of the line that passes through the point (-1,-5) and has a slope of 1?

The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope of the line and b is the y-intercept, which is the point where the line crosses the y-axis.

Since the line passes through the point (-1,-5) and has a slope of 1, we can substitute these values into the equation to solve for the y-intercept. We get:

y = 1x + b

(-5) = 1(-1) + b

-5 = -1 + b

-4 = b

Therefore, the equation of the line that passes through the point (-1,-5) and has a slope of 1 is y = 1x - 4.

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.

850 ÷ 2 = 425

The amount each person got is 425.

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.

We have,

The total amount = 850

The number of people to share = 2

Now,

The amount each got.

= 850/2

= 425

Thus,

The amount each person got is 425.

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m<A = 112.5

m<B = 67.5

m<C = 67.5

m<D = 112.5

Consider the provided information.

The sum of all interior angle of a polygon is: (n-2)*180

Substitute n = 8.

(8-2)*180 = 1080

Thus, the measure of each angle is:

∠B and ∠C are congruent and their sum is 135°

∠B+∠C=135°

∠B=67.5°

Hence, the m angle B and m angle C is 67.5°.

The sum of all angles of a quadrilateral is 360°.

∠A+∠D+∠B+∠C=360°

∠A+∠D=360°-135°

∠A+∠D=225°

∠A and ∠D are congruent and their sum is 225°

∠A+∠D=225°

∠A=∠D=112.5°

Hence, the m angle A and m angle D is 112.5°.

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Answer:

(-6.5,3]

Step-by-step explanation:

The graph of the equation would be linear in nature.

Option (A) is correct.

What is a graph of an equation?

The picture is obtained by plotting all the points of an equation or inequality. If there is only one variable, the graph is on a number line. If there are two variables, the graph is on the coordinate plane. If there are three variables, the graph is in three-dimensional coordinates.

The given equation is

-5y = -6x + 15

Now arrange it properly, we get

6x - 5y = 15

Now draw the graph, we get

Hence, the degree of the equation is 1. so the graph of the equation would be linear in nature.

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The angle is in 4th quadrant and the value of [tex]sin\theta[/tex] is -(4/5).

One of the most significant areas of mathematics, trigonometry has a wide range of applications. The study of the connection between the sides and angles of the right-angle triangle is essentially the focus of the field of mathematics known as "trigonometry." Therefore, employing trigonometric formulae, functions, or trigonometric identities can be helpful in determining the missing or unknown angles or sides of a right triangle. Angles in trigonometry can be expressed as either degrees or radians.

There are two other sub-branch classifications for trigonometry. The two varieties of trigonometry are as follows:

Everything is normal in Quadrant I, and Sine, Cosine, and Tangent are all positive.

However, the x direction is negative and the cosine and tangent become negative in Quadrant II.

Sine and cosine have negative values in Quadrant III.

Sine and tangent are negative in Quadrant IV.

since,

[tex]cos\theta = 3/5 (+ve)\\\ sin\theta\ is\ ( -ve)[/tex].

So the angle is in 4th Quadrant.

we know,

[tex]sin^{2}\theta + cos^{2}\theta = 1[/tex]

⇒ [tex]sin^{2}\theta = 1 - (\frac{3}{5}) ^{2}[/tex]

⇒[tex]sin^{2}\theta = 1 - \frac{9}{25} = \frac{16}{25}[/tex]

⇒ [tex]sin\theta = -\frac{4}{5}[/tex]     (since The angle is in 4th Quadrant)

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The coordinates of the image A'B'C are A(-2, 6) B(-3, 4) C(-8, 2)

Given data :

Triangle ABC has vertices A(6,2), B(3,4), and C (2,8).

Although I am aware that the coordinates must rotate around the origin, I am unsure of the signs (+ or -).

Consequently, the shape is in the second quadrant of the graph, and the 90-degree angle should be in the fourth quadrant rather than the first (which is 180 degrees anticlockwise) or third (.180 anticlockwise)

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Answer:

b)  The mixed number seven and three fourths inches.

Step-by-step explanation:

Given:

To find the total length of the wood, sum the length of the picture and two margins:

[tex]\implies \sf Total\;length=6\frac{3}{4}+\dfrac{1}{2}+\dfrac{1}{2}[/tex]

Two halves equal 1:

[tex]\implies \sf Total\;length= 6\frac{3}{4}+1[/tex]

When adding a mixed number to a whole number, simply add the whole numbers together:

[tex]\implies \sf Total\;length= (6+1)\frac{3}{4}[/tex]

[tex]\implies \sf Total\;length= 7\frac{3}{4}[/tex]

Therefore, the total length of the wood required is:

Answer:

(a)  4 : 3

(b) 4 : 7

Step-by-step explanation:

a)

20:15

divide both by the HCF which is 5

4:3

b) 20 + 15 = 35

20 : 35

divide both by HCF which is 5

4:7

7) The minimum temperature is 31⁰F. So, the answer is option B.

The frequency of various types of values can be easily observed using a stem and leaf plot, also known as a stem and leaf diagram. This graph displays numerical data that is arranged in chronological order. There is a stem and a leaf for each piece of data.

Each first or second digit of the data value is divided into a stem, and the last digit is represented by a leaf, in a stem and leaf plot, which is represented by a particular table. The stem and leaf plot key is the "|" symbol that is used to indicate the values of the stem and the leaf. In the case of 46, the stem is 4 and the leaf is 6.

7) The minimum value in the stem is 3

And the minimum value in the leaf is 1

So, according to the given key 4|3=43°F

Here | denotes the key symbol.

So, in this solution the minimum value of stem is 3 and the minimum value of leaf is 1

Therefore, it must be 3|1

Hence, from the given key

This can be written as 31⁰F

Therefore, the answer is option B.

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Answer: The distance between the points (3, 4) and (0, 0) is 5.

Step-by-step explanation: The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This theorem can be used to find the distance between two points in a coordinate system.

To find the distance between two points in a coordinate system, you can use the following steps:

Identify the coordinates of the two points.

Calculate the difference between the x-coordinates and the y-coordinates of the two points.

Use the Pythagorean Theorem to find the distance between the two points.

For example, to find the distance between the points (3, 4) and (0, 0), you would do the following:

Identify the coordinates of the two points: (3, 4) and (0, 0).

Calculate the difference between the x-coordinates and the y-coordinates of the two points: 3 - 0 = 3 for the x-coordinates and 4 - 0 = 4 for the y-coordinates.

Use the Pythagorean Theorem to find the distance between the two points: the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides, so the distance between the points is equal to the square root of 3^2 + 4^2 = 9 + 16 = 25 = 5.

Therefore, the distance between the points (3, 4) and (0, 0) is 5.

                                             Incomplete question

The area of ΔUVW is 21 units.

What is the area of the triangle?

The total area bounded by a triangle's three sides is referred to as the triangle's area. In essence, it is equal to 1/2 of the base times the height, or A = 1/2 b x h. As a result, we need to know the triangular polygon's base (b) and height (h) in order to calculate its area.

From given figure we can see that WV is the height of the triangle and WU is the base.

W = (-3, 6), V = (-3, -8) and U = (0, 6).

To find the distance WV and WU by using the distance formula.

[tex]d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

So,

[tex]WV = \sqrt{(-3+3)^2 +(-8-6)^2} = \sqrt{(-14)^2} = 14\\ WU = \sqrt{((0+3)^2+(6-6)^2} = \sqrt{3^2} = 3[/tex]

Hence, the height is 14 units and the base is 3 units.

⇒

Area of triangle = 1/2 x base x height

                           = 1/2 x 3 x 14

Area of triangle = 21 units

Hence, the area of ΔUVW is 21 units.

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Answer:

2 x x = 2x

2 x 4 = 4

so 2x + 8 is the answer.

To solve this equation we must expand its terms so that we can then multiply and add.

Equations are those mathematical equalities divided between two expressions which are called members and separated by their equal sign, in which known elements and unknown or unknown data appear, related by mathematical operations.

So, our result of the equation is 2x + 8

¡Hope this helped!

Answer:

(A) x + 3y - 10

Step-by-step explanation:

This Questions tests on the concept of solving algebraic expressions.

Eg. 7x + 4y + 3y + 9x = 16x + 7y

(Note that BODMAS rule applies to algebraic expressions as well.)

Given from the question:

5x + 8 - 13y - 4x - 18 + 16y

= 5x - 4x - 13y + 16y + 8 - 18 (Regroup the terms)

= x + 3y - 10 (A)

209952 is the value of 432x486

Multiplication is a method of finding the product of two or more numbers

We need to multiply 432 and 486

Steps to follow to find this

1. Line up both your numbers with one on top of the other.

2.Make sure that the places match up for the ones, tens, and hundreds

3. Multiply the top number by the last digit of the second number – the 'ones' unit.

     432

   ×486

___________

     2592

    3456+

   1728++

_____________

   209952

Hence, 209952 is the value of 432x486

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The solutions for the given division are explained below:

One of the four fundamental operations of arithmetic, or how to mix numbers to create new ones, is division. Addition, subtraction, and multiplication are the other operations.

In its most basic form, the division of two natural numbers involves counting the instances in which one number is contained inside another, among other possible applications. It is not required that this number be an integer. When two natural numbers are divided with a remainder, or in the Euclidean method, the result is an integer quotient, or the number of times the second number is entirely included in the first, and a remainder, or the portion of the first number.

1) 2.25/2.5=0.9

2) 35/0.05=700

3) 45/0.15=300

4) 630.21/0.07=9003

5) 0.29/9.28=0.03125

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Answer: 1/-4

Step-by-step explanation:

Find your initial y and x points (-2y and 0x) and then find another point that is equivalent (-1y and -4x) and use m=rise/run = y2-y1/x2/x1 to get your answer of 1/-4

There are two ways to represent this equation: "x + (x + 1) + (x + 2) = 42" and "(x minus 1) + x + (x + 1) = 42".

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical phrase with two equal sides and an equal sign is called an equation. An example of an equation is 4 + 6 = 10.

Here,

There are 2 ways,

x+(x+1)+(x+2)=42

(x-1)+x+(x+1)=42

This equation can be written as "x + (x + 1) + (x + 2) = 42" or "(x minus 1) + x + (x + 1) = 42," respectively.

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Answer:

C) x >= 3

Step-by-step explanation:

The domain of the function is all the x's for this function/graph/equation.

Since you have a graph, it is all the x's where the graph exists. The graph exists from 3 to the right (forever), so x can be everthing 3 and greater.

x >=3

Answer:

$7307

Step-by-step explanation:

you need to add them together okay got.

35/12 is the value of tanZ

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Tanz is also given by ratio of sinz and cosz

The tangent formula for a right-angled triangle can be defined as the ratio of the opposite side of a triangle to the adjacent side.

tanz=opposite side/adjacent side

tanz=xy/yz

=35/12

Hence, 35/12 is the value of tanZ

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Match each of the expressions to the right point:

[tex]-\sqrt{18}[/tex] = c

[tex]-\frac{17}{3}[/tex] = b

[tex]-2\pi[/tex] = a

Answer:

Given below in the picture

I hope my answer helps you.

Answer:

1st and 3rd ones.

Step-by-step explanation:

<BAD and <ADE are equal because the transversal connects the two angles on alrenate sides. Also <CBA and <CED are equal, as they are again, alternate and the transversal (the diangonal line) connects them.

Answer:

Yes, the triangles are similar, because all angles are congruent and the sides are proportional.

Step-by-step explanation:

In similar triangles the corresponding angles have the same measurement.  The sum of the interior angles of a triangle is 180.  Both triangles have a 90 angle.  180-90 = 90.  The other two answer must add to 90.

90 - 51 = 39.  So each triangle has a 90, 51 and 39 degree angle.

The sides are also proportional.  The scale factor from the smaller triangle to the larger is 2 and if you go the other way the scale factor is 1/2

Answer:

a) Solving by factoring, you move 225 to the left side by subtracting then making the equation equal to 0.

b) x = -15

x = 15

Step-by-step explanation:

1. x^2 -225=0

2. Find what two numbers equal to -225 then factor by using the expression a^-b^2=(a-b)(a+b)

In this case, -15(15)=-225

(x-15)(x+15)=0

3. Find x

x-15=0

x+15=0

This equation has 2 solutions

x=-15

x=15

To check answer, one of the solutions into X