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To draw a venn diagram for B', we have shade the region that excludes BIf B ⊆ U, where U is a universal set, then U \ B is called the compliment of B with respect to U. If underlying universal set is fixed, then we denote U \ B by B' and it is called compliment of B.

Answer:

4 out of 9

Step-by-step explanation:

the complement of an event is

1 - probability of event

1 - [tex]\frac{5}{9}[/tex] = [tex]\frac{4}{9}[/tex]

Answer:

f(2x)=-2x+5

h(5-x)=-2x+10

The line segment AB is divided at point P, which has coordinates P(0,-7.5)

A line segment is a section of a line that connects two locations to create a straight line or we can say that is connects two distinct points together to form a single line. It is extendable to either side.

Given are,

A line segment AB with coordinates of A(0,0 ) and B(-15,0) respectively

Two minor line segments, AP and PB, are created from the line segment AB by the provided point P

We must determine the dividing point's coordinates, or P.

We'll apply the formula provided,

The coordinates of the point P are given by  = ([tex]\frac{x1+x2}{2}[/tex],[tex]\frac{y1+y2}{2}[/tex] )

Now, x1 = 0, x2 = 0, y1 = -15, y2 = 0

Putting values in the formula, we get

([tex]\frac{0+0}{2}[/tex], [tex]\frac{0-15}{2}[/tex])

(0,-7.5)

Hence, the point P which partitions the line segment AB have coordinates as P(0,-7.5)

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Answer:

Step-by-step explanation:

I would say the width is 18 because the scale factor is 6

102/17= 6

3*6=18

Answer:

the answer is √180>102/8

Answer:

4 minutes.

Step-by-step explanation:

45 miles in 60 minutes

3 miles in x minutes

3 x 60 divided by 45 = 4

To check yourself, 45 divided by 3 gives you 15 sets of 3 minute segments. 15 x 4 = 60 minutes or 1 hour.

Answer:

all interior angles of a triangle adds up to 180°

therefore,

x°+79°+41°=180°

x°+120°=180°

x°=180°-120°

x°=60°

Answer:

y=x

z=110

d=3cm

The two incorrect definitions are:

"An algebraic expression is a mathematical sentence connecting one statement to another statement with an equal sign (=)."

"To solve an equation means to isolating the variable on the left hand side of the equal sign."

Here we have some definitions pertaining to solving linear equations, and we need to identify which ones are incorrect.

The first incorrect definition is:

"An algebraic expression is a mathematical sentence connecting one statement to another statement with an equal sign (=)."

The sentences that have an equal sign are called equations,  algebraic expression is more general than that.

The second incorrect definition is:

"To solve an equation means to isolating the variable on the left hand side of the equal sign."

It is true that you need to isolate the variable, but it does not matter in which side of the sign you do that.

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Probability of any point X on line BD is 1/2 , on line BC is 3/10, on line AB is 1/2 and on line AC is 4/5.

A, B, C and D are four points on a line. Length of AB is 5, length of BC is 3, length of AC is 8, length of CD is 2 and length of AD is 10.

Probability of any point X on line BD = ( length of BD / length of AD) = (5/10) = 1/2.

Probability of any point X on line BC = ( length of BC / length of AD) = 3/10.

Probability of any point X on line AB = ( length of AB / length of AD) = 5/10 = 1/2.

Probability of any point X on line AC = ( length of AC / length of AD) = 8/10 = 4/5.

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The nth term of the given quadratic sequence begins 8, 11, 16, 23, 32, = n² + 7.

Quadratic sequences are those that contain a word. They are distinguished by the fact that the first differences between terms really aren't equal, but really the second differences between terms remain equal.

The difference between each term inside a quadratic series is not equal, but the second difference between every term is equal.

A linear sequence is a number pattern that increases or lowers by the same amount each time. The common difference is the amount by which it increases or drops. Quadratic sequence: The difference between every term increases or decreases at a steady rate in quadratic sequence.

Given:

8, 11, 16, 23, 32,

The nth rule is:

n² = 1² , 2², 3², 4² , 5²

n² = 1 , 4 , 9 , 16 , 25

Subtracting the equation:

8 , 11 , 16 , 23,  32

1 , 4, 9 , 16 , 25

we get:

7, 7, 7, 7

So that the nth term of the given quadratic sequence begins

8, 11, 16, 23, 32, = n² + 7.

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Answer:

∠ c = 30°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ e is an exterior angle of the triangle , then

∠ b + ∠ c = ∠ e , that is

85° + ∠ c = 115° ( subtract 85° from both sides )

∠ c = 30°

The y-intercept of the equation of a line in general form is:(0, -c/b) or -c/b

The y-intercept is the point where the graph intersects the y-axis. To graph, any function that is of the form y = f(x) finding the intercepts is really important. There are two types of intercepts that a function can have. They are the x-intercept and the y-intercept. An intercept of a function is a point where the graph of the function cuts the axis.

The y-intercept of a function is a point where its graph would meet the y-axis. The x-coordinate of any point on the y-axis is 0 and we use this fact to derive the formula to find the y-intercept. i.e., the y-intercept of a function is of the form (0, y).

The equation of a straight line in general form is ax+by+c=0. For the y-intercept, we substitute x=0 and solve it for y.

a(0)+ by + c =0

by + c =0

y = - c/b

Thus, the y-intercept of the equation of a line in general form is:(0, -c/b) or -c/b

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The regular polygon with an interior angle of measure 108° is a pentagon.

A regular polygon is a polygon that has equal side lengths and equal interior angle measures.

Interior angle of a polygon is the angle inside it that is formed by two adjacent sides. The number of interior angles formed inside a polygon is the same as the number of its sides. Meanwhile, the sum of all the interior angles of any polygon is constant to that polygon and depends on the number of sides.

sum = 180(n - 2)

Using this formula,

sum = 180(n - 2)

where n = number of sides of the polygon = number of interior angles

sum = measure of interior angle x n

108n = 180(n - 2)

108n = 180n - 360

180n - 108n = 360

72n = 360

n = 5

If the polygon has 5 sides and 5 interior angles, then the regular polygon is a pentagon.

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Answer:

3x+1

Step-by-step explanation:

Answer:

Natural Numbers:

1 , 17 , 24.0

Whole Numbers:

0 , 1 , 17 , 24.0

Integers:

-775 , -54.3 , -12

Rational Numbers:

0.5 , 24.0 , 3/4 , 2 5/8

The sequence  -12,-5,2,9,16, . . . .. is an arithmetic sequence and its 10th term is a(10) = 65

To determine whether a sequence is an arithmetic or geometric one, we need to check the relation between two consecutive terms.

The given sequence is:

    -12,-5,2,9,16, . . . .

In this sequence:

a(1) = -12

a(2) = -5

a(3) = 2

a(4) = 9

and so on.

Notice that:

a(2) - a(1) = -5 - (-12) = 7

a(3) - a(2) = 2 - (-5) = 7

a(4) - a(3) = 9 - 2 = 7

Since each consecutive terms have common difference, then, the given sequence is an arithmetic sequence. Furthermore, the common difference, d = 7.

The formula for the nth term in an arithmetic sequence is given by:

a(n) = a(1) + (n - 1) . d

Substitute n = 10, d = 7, and a(1) = -12

a(10) = -12 + (12 - 1) . 7

a(10) = -12 + 77 = 65

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The measures of HI will be 11.8 units under the Corresponding parts of the congruent triangles (CPCT) condition.

So,

The formula sides of the triangle: √(x₂−x₁)²+(y₂−y₁)²

Filling the values in the formula, we obtain:

Then, the side of the triangle will be: 11.8 units

Therefore, the measures of HI will be 11.8 units under the Corresponding parts of the congruent triangles (CPCT) condition.

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( 1 , 11) , ( 2, 8 ) , ( 3 , 9 ) , ( 4 , 8 ) , ( 5 , 7 ) , ( 6, 6 ) are the Ordered pairs.

What is domain and range?

Definitions of domain and example?

The domain is the set of x -coordinates, {0,1,2} , and the range is the set of y -coordinates, {7,8,9,10} .

Ordered pairs are

( 1 , 11) , ( 2, 8 ) , ( 3 , 9 ) , ( 4 , 8 ) , ( 5 , 7 ) , ( 6, 6 )

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Answer:

$ 67. 14

Step-by-step explanation:

first you divide 36 miles by $25.20 to find the fare for one mile then multiply the answer with 47 miles

36 ÷ $25.20 = $1.43

$1.43 × 47 = $ 67. 14

hope you understood what I just said

The explicit formula for the nth term is a(n) = 10 . (-1)ⁿ⁻¹, while the first five terms are 10, -10, 10, -10, 10

In a geometric sequence, the next term is obtained by multiplying the previous term by a common ratio, usually denoted as r.

The general formula of the nth term of a geometric sequence is:

a(n) = a₁ . r^(n-1)

Here a₁ refers to the first term and r to the ratio.

In the problem, the given parameters are:

a₁ = 10, r = -1

Substitute these into the general formula, we get:

a(n) = 10 . (-1)ⁿ⁻¹

Notice that

(-1)ⁿ⁻¹ = -1  if n-1 is an odd number, or if n is an even number

(-1)ⁿ⁻¹ = 1   if n-1 is an even number, or if n is an odd number

Therefore, the first five terms are: 10, -10, 10, -10, 10

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Answer:(1, 24), (2, 12), (3, 8), and (4, 6).

Step-by-step explanation:a pair of numbers when multipled you get 24.

We can form an endless number of triangles when you are given two sides and no measurement of angle i.e a = 25 , b = 21

For Example -

We can chose the value of angle from 0-360 degrees with side length a = 25 and b =21, how many different triangles are possible to create?

Create one of the triangles with a protractor having the side lengths a = 25 m and b = 21 m and angle 12° and third side can be adjusted to your preferred length. You have built a triangle.

Similarly by changing the length of the third side and measure of the angle we will get an entirely new triangle.

It's important to notice that you choose the side lengths and angle. This suggests that you might make a different decision. By employing the same angles, you were able to make an infinite number of different triangles.

Therefore, with simply the measurements of one angle and a side length, we can create an endless number of triangles.

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The length of the given rectangle is 9.

According to the statement

We have to find that the length of the rectangle.

So, For this purpose, we know that the

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel.

From the given information:

The width of a rectangle is 8 units less than the length. The area of the rectangle is 9 units

Then

Let the Length of the rectangle = x

Let the width of the rectangle = x-8

Area of the rectangle = L*B

Then

L*B = 9

x(x-8) = 9

x^2 -8x -9 = 0

x^2 -9x + 1x -9 = 0

x(x-9) +(x-9) = 0

(x+1) (x-9) = 0

here x = -1 and then x = 9.

Here neglect x  = -1 then

Length of the rectangle  is 9

Let the width of the rectangle is 1.

So, The length of the given rectangle is 9.

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The Distributive property of real numbers is illustrated by the equation 2(s-t) = 2 s-2 t.

Distributive property of real number is denoted by x(y+z)=x*y+x*z , which means "x" will be multiplied with each term present inside the bracket.

For Example :

3(4+1) =3*4+3*1

         =12+3

         =15

In the given question

LHS   =     2(s-t)

On applying Distributive property we get ,

=2*s-2*t

=2s-2t  =  RHS

Hence distributive property is applied here.

Therefore , the property of real numbers that is illustrated by the equation 2(s-t) = 2 s-2 t  is Distributive property .

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