35)
Which statement must be true to prove that a quadrilateral is a parallelogram?
A)
Consecutive angles are acute.
B)
Opposite angles are complementary.
Consecutive angles are complementary.
Opposite angles are congruent.

A quadratic equation, or second-order polynomial equation with a single variable, has the form ax^2 + bx + c = 0. The solution to the given equation is v = 7, -5 and 3

The form ax^2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

Given the quadratic expression below:

(v-7)(v+5)(v-3)=0

Required

The solution to the system of equation

Equate each expression to zero calculate the value of 'v' as shown:

v - 7 = 0

v = 0 + 7

v = 7

Also, v + 5 = 0

v = 0 - 5

v = -5

Similarly, v - 3 = 0

v = 0 + 3

v = 3

Hence the solution to the given equation is v = 7, -5 and 3

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Answer:

2(y-2)(y+1)

Step-by-step explanation:

In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.

The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."

When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.

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Answer:

x≥3.5

Step-by-step explanation:

8x ≥-28

x≥-28/8

x≥-3.5

Answer:

17.2 in

Step-by-step explanation:

The formula for arc length is s = rФ.  Here we are to find r.  Solving this formula for r, we get:

r = s/Ф

So, in this problem, r = (9 in) / (π/6) = 54/π in ≈ 17.2 in

On graph B, the group of birds seems to have twice as much as the group of mammals.

The change in scale on the y-axis from 50 to 85 in increments of 5 in Graph A to 0 to 80 in increments of 10 in Graph B makes the differences between the groups appear larger in Graph B.

As a result, the height of the bar for birds is approximately twice as much as the height of the bar for mammals in Graph B, which may not be apparent in Graph A.

Therefore, the correct option is (a) On graph B, the group of birds seems to have twice as much as the group of mammals.

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Answer:

A:  \(\frac{4}{7}\)=\(\frac{7.04}{x}\)

Step-by-step explanation:

Khan Academy

Answer:

Volume L× W × H

Volume 4 × 3 × 2

4 × 3 × 2 =24

If the fish poke is 6 feet long and she has a rectangular prism of 24 since 4 × 3 ×2 equals 24 then yes she can store the fishing pole in the box

24

The inequality in interval notation is  [ -1, ∞ ) from the given equation x ≥ - 3

Given data :

x ≥ - 3

x is greater than or equal to - 3, so - 3 is our smallest value of the interval so it goes on the left. Since there is no upper endpoint (it is ALL values greater than or equal to 3),

we put the infinity symbol on the right side. The boxed end on 3 indicates a closed interval.

In interval notation it is [ -1, ∞ )

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The features of the given polynomial graph are;

A) Domain: (-∞, ∞)

Range: (-∞, 16)

B) The x-intercepts are; (-2√2, 0), (0, 0), (2√2, 0)

C) The y-intercept is; (0, 0)

D) The interval(s) for which the function is increasing is; (-∞, -2) and (0, 2)

E) The interval(s) for which the function is decreasing. is; (-2, 0) and (2, ∞)

F) The graph has no constant interval.

G) It is symmetrical about the y-axis

H) Even function

The domain of a function is defined as the set of all possible input values for which the function holds. The range of a function is defined as the set of all possible output values for all possible input values.

A) The x-values intervals we reckon will be positive and negative infinity as the graph extends till infinity. However, the maximum value of the y-values will be 16 while the minimum is negative infinity.

B) The x-intercepts are the points where the graph crosses the x-axis and they are; (-2√2, 0), (0, 0), (2√2, 0)

C) The y-intercepts are the points where the graph crosses the y-axis and it has the coordinate; (0, 0)

D) Looking at the given graph, it is increasing when the curve rises  and in this case it is; (-∞, -2) and (0, 2)

E)  Looking at the given graph, it is decreasing when the curve descends and in this case it is; (-2, 0) and (2, ∞)

F) The graph has no constant interval.

G) It is symmetrical about the y-axis

H) The function is an even function

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The numerical value of x in angle ABD is 9 as angle ABC is divided into two equal halves.

An angle bisector divided an angle into two equal halves.

From the diagram:

Line BD divides angle ABC into two equal halves.

Angle ABD = ( 3x - 7 ) degrees

Angle DBC = 20 degrees

Since angle ABD and DBC are equal haves;

Angle ABD = Angle DBC

Plug in the values:

( 3x - 7 ) = 20

Solve for x:

3x - 7 = 20

Add 7 to both sides:

3x - 7 + 7 = 20 + 7

3x = 27

x = 27/3

x = 9

Therefore, the value of x is 9.

Option A)9 is the correct answer.

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Answer:

2nd answer option : 6^(13/4)

Step-by-step explanation:

what are we doing, when 2 equal base terms with exponents are multiplied ? we add the exponents !

this is like 3⁴×3³ = 3⁷

because

3×3×3×3 × 3×3×3 = 3×3×3×3×3×3×3 = 3⁷

it is that simple.

and that concept is also valid for any kind of number as exponent. even for fractions and so on.

so,

6^3 × 6^(1/4) = 6^(3 + 1/4) = 6^(12/4 + 1/4) = 6^(13/4)

Answer:

0.42

Step-by-step explanation:

To solve the problem, we need to add the probability of picking a club to the probability of picking a face card, and then subtract the probability of picking a club that is also a face card (because we would have counted it twice).

There are 13 clubs in a standard deck, so the probability of picking a club is 13/52 or 0.25.

There are 12 face cards (4 jacks, 4 queens, and 4 kings) in a standard deck, so the probability of picking a face card is 12/52 or 0.23.

However, there are 3 cards that are both clubs and face cards (the jack of clubs, queen of clubs, and king of clubs), so we need to subtract the probability of picking one of those cards. There are 3 of them out of 52 total cards, so the probability of picking a club that is also a face card is 3/52 or 0.06.

Therefore, the probability of picking a club OR a face card is:

0.25 + 0.23 - 0.06 = 0.42 (rounded to two decimal places).

So the answer is 0.42.

Answer:

14 ft - 8 ft = 6 ft

Step-by-step explanation:

You basically just need to subtract it! :)

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Answer:

Step-by-step explanation:

1) (-6 , 2) ; (3 , -5)

Slope = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

         \(= \frac{-5-2}{3-[-6]}\\\\= \frac{-5-2}{3+6}\\\\= \frac{-7}{9}\\\)

m = -7/9 ; (-6 , 2)

y - y₁ = m(x -x₁)

y - 2 = (-7/9)(x - [-6])

\(y - 2 = \frac{-7}{9}(x + 6)\\\\y -2 = \frac{-7}{9}x + \frac{-7}{9}*6\\\\y - 2 = \frac{-7}{9}x - \frac{7*2}{3}\\\\ y = \frac{-7}{9}x - \frac{14}{3} + 2\\\\y = \frac{-7}{9}x -\frac{14}{3} + \frac{2*3}{1*3}\\\\y = \frac{-7}{9}x - \frac{14}{3} + \frac{6}{3}\\\\y = \frac{-7}{9}x - \frac{8}{3}\)

2) (3 , -4) ; m= 3

\(y - y_{1} = m(x - x_{1}\))

y - [-4] = 3(x - 3)

y + 4 = 3x - 3*3

y + 4 = 3x  - 9

     y = 3x - 9 - 4

Ans: y = 3x - 13

3) m = 2 ; y-intercept (b) = 3/2

     y = mx + b

  Ans: y = 2x + (3/2)

4) (-1, 3 ) ;  (2 , 0)

Slope = \(\frac{0 - 3}{2-[-1]}\)

         \(= \frac{-3}{2+1}\\\\= \frac{-3}{3}\\\\= 1\)

m = 1; ( -1 , 3)

y - 3 = 1(x -[-1])

y - 3 = 1(x + 1)

y - 3 = x + 1

    y = x + 1 + 3

  Ans: y = x + 4

5)(2, 1) ;m = -3

y - 1 = (-3)(x - 2)

y - 1 = -3x + 6

   y = -3x + 6 +1

Ans: y = -3x + 7

Step-by-step explanation:

1) (-6 , 2) ; (3 , -5)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

x

2

−x

1

y

2

−y

1

\begin{gathered}= \frac{-5-2}{3-[-6]}\\\\= \frac{-5-2}{3+6}\\\\= \frac{-7}{9}\\\end{gathered}

=

3−[−6]

−5−2

=

3+6

−5−2

=

9

−7

m = -7/9 ; (-6 , 2)

y - y₁ = m(x -x₁)

y - 2 = (-7/9)(x - [-6])

Answer:

1 to 3

Step-by-step explanation:

3 blue: 9 yellow

Divide each side by 3

3/3 : 9/3

1 blue: 3 yellow

1 to 3

The equivalent decimal and mixed number for given letter C is,

⇒ C = 8.2 ; 8 2/10

We have to given that,

A number line is shown in image.

Since,

A number lines are the horizontal straight lines in which the integers are placed in equal intervals.

And, All the numbers in a sequence can be represented in a number line. This line extends indefinitely at both ends.

Now, By given number line,

Point C is two point left from point 8.

Hence, The point C is denoted as,

⇒ C = 8.2

⇒ C = 82/10

⇒ C = 8 2/10

Therefore, the equivalent decimal and mixed number for given letter C is,

⇒ C = 8.2 ; 8 2/10

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The number is 48.

Let's represent the two-digit number as 10x + y, where x is the tens digit and y is the units digit.

According to the given information, the units digit is twice the tens digit. So we have the equation:

y = 2x

If the number is doubled, it will be 12 more than the number reversed. When we double the number, we get 2(10x + y), and the number reversed is 10y + x.

Therefore, we can write the equation as:

2(10x + y) = 10y + x + 12

Simplifying this equation, we get:

20x + 2y = 10y + x + 12

19x = 8y + 12

19x - 8y = 12

We have two equations now:

y = 2x

19x - 8y = 12

Substituting the value of y from the first equation into the second equation, we get:

19x - 8(2x) = 12

19x - 16x = 12

3x = 12

x = 4

Now we can substitute the value of x back into the first equation to find y:

y = 2x

y = 2(4)

y = 8

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The area is 108yd2(square yards).

In the given triangle a base

24yd and the corresponding height of 6 yds are given, so to calculate the area we can use:

A=12×b×h

If we substitute the given numbers we get:

A=\(\frac{1}{2}\)×24×18

=12×9

=108

The units of base and height are the same (yards), so the calculated area is in yd2

The area is the quantity that expresses the extent of a region on the plane or on a curved surface. the world of a plane region or plane area refers to the area of a shape or planar lamina, while area refers to the area of an open surface or the boundary of a three-dimensional object. The area is often understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the quantity of paint necessary to cover the surface with a single coat. it's the two-dimensional analog of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept).

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1/2=1/2=1/2.is the value for the given equivalent fraction, by putting the value 3.4 in the numerators respectively

The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.

For instance, since 2/4 and 3/6 both equal the 1/2, they are identical fractions. An element of a whole is a fraction. The same amount of the whole is represented by equivalent fractions.

1/2 =    /6 =   /8.

a. Multiply numerator and denominator by 3 for equivalenting the equation    /6

Therefore,

3*3/6*3

=9/18

=1/2

therefore:1/2=1/2.

b. Multiply numerator by 4

Therefore,

4/8

=1/2.

Therefore:

1/2=1/2.

1/2=1/2=1/2.

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Answer:

5/2

Step-by-step explanation:

rise/run. the graph rises 5 and over 2 to the next point

Answer:

Step-by-step explanation:

first step, multiply 4 and 3

4x3=12  ,  we write is 1.2x10

10^5 x10^3=10^8

4 x10^5 x 3 x 10^3= 1.2x10^9

The required answer is 1.20 x 10⁹ in scientific notation.

Scientific notation is a method of writing extremely large or extremely small numbers. When a number between 1 and 10 is multiplied by a power of 10, it is written in scientific notation.

Here,
To multiply two numbers in scientific notation, we multiply their coefficients and add their exponents. Applying this rule, we get:

= (4.0 x 10⁵) x (3.0 x 10³)
= (4.0 x 3.0) x (10³ x 10⁵)

= 12.0 x 10⁵⁺³
= 12.0 x 10⁸

However, the answer is not yet in proper scientific notation form because the coefficient 12.0 is not between 1 and 10. To express the answer in scientific notation, we need to adjust the coefficient and exponent so that the coefficient is between 1 and 10. We can do this by dividing the coefficient by 10 and increasing the exponent by 1. Doing this, we get:

12.0 x 10⁸ = 1.20 x 10⁹

Therefore, the answer is 1.20 x 10⁹ in scientific notation.

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Answer:

4

Step-by-step explanation:

Let 10x+y be the two digit number. y is the one's digit and x is the ten's digit.

Interchanging the digits gives the new number 10y+x.

We are given when we subtract these numbers we get 36.

(10x+y)-(10y+x)=36

Put like terms together

Remember the terms in the second are being subtracted from the terms in the first

(10x-x)+(y-10y)=36

9x-9y=36

Dividing both sides by 9 gives

x-y=4

The difference between the numbers is 4.

Answer:14

Step-by-step explanation:

8 divided by 2 = 4 hits

So

28 divided by 2 = 14

Answer:

8 hours

Step-by-step explanation:

Number of pages read in 1hour = 403 / 13 = 31 pages

Time taken to read 248 page book = 31 x 8 = 248

It takes 8 hours to read 248 pages book

Answer:

The right triangular pyramid volume is given by the formula V = 1 3 × B × h , where B is the area of the triangular base and h is the height (the distance from the apex to the base).

Step-by-step explanation:

Answer:

192 cubic feet

Step-by-step explanation:

The volume V of a triangular pyramid is given by the formula:

V = (1/3) * base area * height

where base area is the area of the triangular base.

In this case, the triangular base has a length of 8 ft and a width of 8 ft, so it is a square with area:

base area = length * width = 8 ft * 8 ft = 64 sq ft

Substituting the given values into the formula, we get:

V = (1/3) * 64 sq ft * 9 ft

V = 192 cubic feet.

Therefore, the volume of the triangular pyramid is 192 cubic feet.

Answer: D

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

First distribute the negative sign to the negative four then find the absolute value of 6

-(-4)-|-6| = 4-6

then subtract 4 from 6 and you get -2.