Which of the following is an example of a theorem?
A. The areas of two congruent figures are equal.
B. The area of a square is the square of the length of its side.
C. The area of a rectangle is the product of its base and height.
D. The area of a region is the sum of all of its non-overlapping parts.

Answer:

$13.10 represents the rate of change

Step-by-step explanation:

13.1 is the only value in the equation with a variable (g). There is an additional $13.10 charge for every gigabyte used over the limit, and this is the rate of change.

For example, if 5 gigabytes were used over the limit, the charge would be 13.1(5) or $65.50

Answer:

a is equal to 3 ...................

Answer: It is not a perfect triangle.

Step-by-step explanation:

[tex]3^5 \cdot 2^{-6}=\dfrac{3^5}{2^6}=\dfrac{243}{64}[/tex]

Answer:

Higher floor- Elevator 2 ends on a higher floor

Elevator 1- ends on floor 11

Elevator 2- ends on floor 29

Step-by-step explanation:

The expression 7⁻¹ ÷ 7⁻²  is a quotient expression, and the value of the quotient 7⁻¹ ÷ 7⁻²  is 7

The expression is given as:

7⁻¹ ÷ 7⁻²

Rewrite the expression using the product sign

7⁻¹ ÷ 7⁻²  = 7⁻¹ * 7²

Apply the product rule of indices

7⁻¹ ÷ 7⁻²  = 7⁻¹⁺²

Evaluate the sum of the exponents

7⁻¹ ÷ 7⁻²  = 7¹

Evaluate the exponent

7⁻¹ ÷ 7⁻²  = 7

Hence, the value of the quotient 7⁻¹ ÷ 7⁻²  is 7

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Answer:

7

Step-by-step explanation:

Edge

Let's see

On solving

So

length

Width

A rectangle has a length of (2x+1) units, a width of (x-7) units and an Area of 17 square units. Find the dimensions of the rectangle.

In this question we are provided with the length of a rectangle (2x + 1) units and the width of the rectangle (x - 7). It is also given that the area is 17 units². We are asked to calculate the length and width of the rectangle.

First we will find the value of x

We know,

[tex] \bull \: \small\boxed{ \rm{ Area_{(rectangle)} = Length × Width}}[/tex]

Substituting the values we get

[tex] \small\sf{ (2x + 1 ) (x - 7) = 17}[/tex]

[tex] \small\rm{ 2x( x - 7) + 1(x - 7) = 17}[/tex]

[tex] \small\rm{ 2 {x}^{2} - 14x + 1(x - 7) = 17}[/tex]

[tex] \small\rm{ 2 {x}^{2} - 13x - 7 = 17}[/tex]

[tex] \small\rm{2 {x}^{2} - 13x - 7 - 17 = 0 } [/tex]

[tex] \small\rm{2 {x}^{2} - 13x - 24 = 0} [/tex]

[tex] \small\rm{x = \dfrac{13 + 19}{2 \times 2} } [/tex]

[tex] \small\rm{ x = \dfrac{32}{4} = 8}[/tex]

[tex] \small\sf{x = 8} [/tex]

Now we will substitute the value of x

Length = (2x + 1) = 2 × 8 + 1 = 16 + 1 = 17 units

Width = (x - 7) = 8 - 7 = 1 units

Answer:

26

Step-by-step explanation:

When two lines are parallel, corresponding angles are equal.

Here,

m II n

5x + 13 and 143 are corresponding angles.

So,

5x + 13 = 143

Substract 13 on both sides,

5x = 143 - 13

5x = 130

Divide 5 on both sides,

x = 130 / 5

x = 26

Answer:

 25.12 cm.

Step-by-step explanation:

you take pie times the diameter (4)cm and times them together.

Answer:

4π cm

Step-by-step explanation:

d = 4 cm

Circumference = πd

                         = π*4

                         = 4π cm

Answer:

y = -2/3 x + 5/3

Step-by-step explanation:

y = mx + b

y = -2/3 x + b

1 = -2/3 × 1 + b

3/3 + 2/3 = b

b = 5/3

y = -2/3 x + 5/3

Answer: A

Step-by-step explanation:

Only the first scatterplot has the first data point correctly plotted.

Answer: x = 4

Step-by-step explanation:

2x - 3 + 4x = 21

6x - 3 = 21

6x - 3 (+3)  = 21 (+3)

6x = 24

24/6

x = 4

Answer: D

Step-by-step explanation:

This is just definition.

The Venn probability that a a day in early March would have either rain or snow is given by:

4.) .26

In a Venn probability, two non-independent events are related with each other, as are their probabilities.

The "or probability" is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

In this problem, we have that the probabilities are given as follows:

[tex]P(A) = 0.18, P(B) = 0.12, P(A \cap B) = 0.04[/tex]

Hence:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

[tex]P(A \cup B) = 0.18 + 0.12 - 0.04[/tex]

[tex]P(A \cup B) = 0.26[/tex]

Which means that option 4 is correct.

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Answer:

Refer the attachment

SO, OPTION (D) IS CORRECT

Answer:

Option (D) is the correct answer

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Answer:

15

Step-by-step explanation:

Work Shown:

g = number of hours that Gary exercises

3g-2 = number of hours that Jessica exercises

(g) + (3g-2) = 18

4g-2 = 18

4g = 18+2

4g = 20

g = 20/4

g = 5

Gary exercises 5 hours per week.

Answer:

D) 7

Step-by-step explanation:

Tangents from the same external point are equal in length.

Add 7 on both sides.

Subtract 6x from both sides.

The correct option is D.

Answer:

see explanation

Step-by-step explanation:

in a square

• all sides are congruent

• all angles are right

• diagonals bisect the angles

• diagonals are perpendicular bisectors of each other

Then

∠ BCA = [tex]\frac{1}{2}[/tex] × ∠ BCD = [tex]\frac{1}{2}[/tex] × 90° = 45°

∠ AWD = 90°

Answer:

The distance from point A(x, 1) to point B(0, 7) is equal to 10. Calculate the value of the abscissa x.

Para resolver un problema como este lo primero que tenemos que hacer es sacar regla de tres:

----- 48

----- [tex]\bold{\cfrac{3}{4}}[/tex]

----- X

Una vez sacado la regla de tres debemos Saber los datos que son los siguientes

[tex] \underline{\bold{Ahora \: \: Planteamos \: \: la \: \: ecuacion \: : } }[/tex]

En este caso debemos hallar el 3/4% de 48.

Ahora Usamos la regla de tres simple.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \Rightarrow\bold{\cfrac{3}{4} * 48 }[/tex]

[tex] \: \: \: \: \: \: \: \: \: \bold{\cfrac{3}{4} * 48 = \cfrac{ \cfrac{3}{4} }{100} * 48 }[/tex]

[tex] \bold{\cfrac{3}{400} \: * 48 = \cfrac{3}{25}* 3 = \cfrac{9}{25} }[/tex]

Ahora Hallamos el decimal de 9/25

[tex] \: \: \: \: \: \bold{\cfrac{9}{25} = 9 \div 25 = 0.36 }[/tex]

Entonces podemos decir que:

En total a Susana le faltan 0.36km para llegar a casa.

Answer:

8x-5/4

Step-by-step explanation:

Cancel 5y x 5y/10 x 6y²=5/12y

8x-3y 5/12y

apply fraction rule a× b/c = a×b

____

c

8x-3y⁵/12y

8x-3y×5/12y

8x-3×5/12y

8x-3×5/12

=8x-5/4

Answer:

they are similar because polygons have three or more sides

The value of x when the line segment st is dilated to create line s't' about point q is 2.5 units

The given parameters are:

qs = 2

qt = 1.2

tt' = 1.5

ss' = x

To calculate the value of x, we make use of the following equivalent ratio

ss' : qs = tt' : qt

So, we have:

x : 2 = 1.5 : 1.2

Express as fractions

x/2 = 1.5/1.2

Multiply both sides by 2

x = 2 * 1.5/1.2

Evaluate the product

x = 2.5

Hence, the value of x is 2.5 units

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Answer:

2.5

Step-by-step explanation:

Divide total price by quantity:

15.60 / 6 = 2.60

Unit price = $2.60

Answer: The side highlighted is 6.3 units long

Step-by-step explanation:

You can use Pythagorean therum to solve this problem

a² + b² = c²

We already know the length of two of the sides, a and b. So we will replace those variables with the given values

2² + 6² = c²

And now we solve

2² + 6² = c²

4 + 36 = c²

c² = 40

√40 = 6.3

Answer: B

Step-by-step explanation:

Substituting in the coordinates into the lines which they lie on,

[tex]r=p+b\\\\5r=4p+b[/tex]

Subtracting the equations,

[tex]-4r=-3p \implies \frac{r}{p}=\frac{3}{4}[/tex]

Answer:

The median is more useful because the mean, which his the average can be affected by a large or small outlier.

Step-by-step explanation:

The answer is y<6

Add 12 to both sides

Simplify

Divide both sides by the same factor

Simplify

The equation which represents a linear function for the variable y is y=12r-5. Option B is the correct option.

Linear function is the function in which the highest power of the unknown variable is one. Linear functions are used to model the real life problem in the mathematical expressions.

The linear function with dependent variable y and independent variable x can be written as,

y=mx+c

Here, m is the slope of the line represented by the function and c is the y intercept.

The equation given in the problem are,

2ry+y= 9

y=12r-5

3y+r2+t=0

4r+2(y-1)=0

The second option is similar to the standard linear function.

Hence, the equation which represents a linear function for the variable y is y=12r-5. Option B is the correct option.

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