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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.

Answer: It is not a perfect triangle.

Step-by-step explanation:

Answer: D

Step-by-step explanation:

This is just definition.

Answer:

Refer the attachment

SO, OPTION (D) IS CORRECT

Answer:

Option (D) is the correct answer

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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

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: 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: A

Step-by-step explanation:

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

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:

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:

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

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

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:

Answer:

im  helping

Step-by-step explanation:

I clicked on this..?

The answer is y<6

Add 12 to both sides

Simplify

Divide both sides by the same factor

Simplify

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:

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:

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:

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

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

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

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:

they are similar because polygons have three or more sides

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:

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:

$12000

Step-by-step explanation:

P=CRT

C=cost

R=rate

T=time

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

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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Answer:

15

Step-by-step explanation:

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.