does the given value make the inequality true x + 9 21 when x = 15

The perimeter of the polygon, which is a trapezoid with the given parameters, is: A. 25 cm.

To find the perimeter of a polygon, sum all the length of the sides of the polygon.

Given the sides of the trapezoid as 8 cm, 5 cm, and two sides of 6 cm each

Perimeter = 8 + 5 + 6 + 6

Perimeter = 25 cm.

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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.

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:

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:

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:

Both words are used to talk about how long the boundary is of a 2D figure.  Think of circumference as a special case of finding the perimeter.  The term circumference refers to the perimeter of a figure without sides or something like a circle or arc.

So if we were to look at a rectangle and try to determine how long the boundary is we would use perimeter.  On the other hand, if we have a circle we have no way to track how long each side is therefore we use circumference.

Perimeter is a wide term which means the total length of the surrounding (lines ) of the 2D figure.

circumference is the special case of the perimeter in which perimeter of Arc or circular lines are taken in count .

Answer:

78

Step-by-step explanation:

You add 115 and 167 which will give you 282.

Subtract 282 from 360, which will equal 78.

Answer:

- 1/2

Step-by-step explanation:

Slope, m  , is the sama as 'gradient'....

 if slope of one line is m, the perpindicular is -1/m

2      then perpindicular = - 1/2

[tex]\Large\texttt{Answer\::}[/tex]

-1/2

[tex]\Large\texttt{Calculations\::}[/tex]

If lines are perpendicular to each other , their gradients are opposite reciprocals of each other .

In order to find the opposite reciprocal of a number , we should change it's sign and turn it over as follows :

2 --> -2 --> [tex]-\displaystyle\frac{1}{2}[/tex]

So the gradient of the line perpendicular to the line with a gradient of 2 is -1/2.

[tex]\footnotesize\texttt{hope\:helpful~}[/tex]

Answer:

im  helping

Step-by-step explanation:

I clicked on this..?

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:

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

The total length of the paths will be 12.6 yards. Then the correct option is G.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal. Its diagonals intersect in the center.

A city park is in the shape parallelogram as shown.

Two paths will be installed along the diagonals.

Then the total length of the paths will be

Total length = 2 (3.5 + 2.8)

Total length = 2 (6.3)

Total length = 12.6 yards

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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:

Answer:

Wong was conducting a field study in the Amazon rainforest when he

discovered a prokaryotic organism that has a cell wall and circular

chromosomes. Which of the

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:

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: 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]

The congruency statements that are true about the congruent triangles are: ∠M ≅ ∠Q; QK ≅ MJ; and MN ≅ QR.

Congruent triangles are triangles whose corresponding parts (angles and sides) are congruent to each other.

So, if △JMN ≅ △KQR, it means the corresponding angles and sides of both triangles are congruent.

Therefore, the true congruency statements are:

∠M ≅ ∠Q; QK ≅ MJ; and MN ≅ QR

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Answer:

$12000

Step-by-step explanation:

P=CRT

C=cost

R=rate

T=time

P=3000 x 8 x 50/100= $12000

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

Answer:

Refer the attachment

SO, OPTION (D) IS CORRECT

Answer:

Option (D) is the correct answer

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Answer: A

Step-by-step explanation:

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

Answer: D

Step-by-step explanation:

This is just definition.

Answer:

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

Using the formula for the closest integer, it is found that Alejandro is not correct, as the integer is of 48 and not 52.

The integer that has square root n is given by:

S(n) = n².

Hence the integer that has a square root closest to n is given by:

C(n) = n² - 1.

In this problem, we want the square root closest to n = 7, hence:

C(7) = 7² - 1 = 48.

Which is a different value than 52, hence Alejandro is not correct.

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Answer:

6,812,019 ft cubed

Step-by-step explanation:

1/3(b*h)

1/3(153^2*873)

1/3(23,409*873)

1/3(20,436,057) = 6,812,019

The answer is y<6

Add 12 to both sides

Simplify

Divide both sides by the same factor

Simplify