Lines a and b are parallel.
what is the value of x?

A) 15

B) 16

C) 56

D) 64

Approximate sum of the lengths of the two sidewalks, shown as dotted lines in the figure of rectangle garden is 38.2 meters.

Pythagoras theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.

A 15-meter by 23-meter garden is divided into two sections. In this rectangle,

Here, a vertical line is drawn from the top to bottom side to split the shape into a square and a rectangle. The length of the left side of the square will be 15 long. Thus, the lenght of its diagonal is,

[tex]d_1=15\sqrt{2}\\d_1=21.213\rm\; m[/tex]

The length of the sidewalk in smaller rectangle in the right side of figure is,

[tex]d_2=\sqrt{15^2+8^2}\\d_2=17\rm\; m[/tex]

Sum of the lengths of the two sidewalks using the pythagoras theorem is,

[tex]S=21.2+17\\S=38.2\rm\;m[/tex]

Thus, approximate sum of the lengths of the two sidewalks, shown as dotted lines in the figure of rectangle garden is 38.2 meters.

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Answer:

D 38.2

Step-by-step explanation:

E2020

Answer:

$372

Step-by-step explanation:

12 × 10 = 120

1 foot = $3.10

120 feet = ?

120 feet × $3.10

= $372

$372÷ 1 foot = $372

Answer:

yes i do

Step-by-step explanation:

1/4 x 12= 3

12 divided by 4 = 3

The length of the diagonal of Bob’s TV will be 50 in.

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

Bob’s rectangular TV is 40 inches wide and 30 inches high.

Now,

Since, TV is in rectangular shape.

Hence, It satisfy the Pythagoras theorem.

Let the length of the diagonal of Bob’s TV = x

So, We can formulate;

⇒ x² = 40² + 30²

⇒ x² = 1600 + 900

⇒ x² = 2,500

⇒ x = √ 2,500

⇒ x = 50 in

Thus, The length of the diagonal of Bob’s TV = 50 in.

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The length of the diagonal is the hypotenuse of the fence

The length of the wood is [tex]7\sqrt{ 2[/tex] yards

The dimensions of the fence are:

7 ft by 7 ft

The length (L) of the diagonal is calculated using:

[tex]L = \sqrt{a^2 + b^2[/tex]

This gives

[tex]L = \sqrt{7^2 + 7^2[/tex]

Express as products

[tex]L = \sqrt{7^2 * 2[/tex]

Express as radical

[tex]L = 7\sqrt{ 2[/tex]

Hence, the length of the wood is [tex]7\sqrt{ 2[/tex] yards

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Answer:

288 cm^3.

Step-by-step explanation:

The volume of each small  square = 2*2*2 = 8 cm^3

Each rectangular length of end 2*2 is made up of 12/2 = 6 squares.

There are  6 of these rectangular lengths.

So the volume = 6 * 6 * 8 cm^3

288 cm^3.

Answer:

Emma began her journey at 7:30 a.m., at 8 a.m. she was 20 miles away, she stayed for an hour and a half, she left at 10 a.m., she was 7.5 miles from her house at 11:45, she traveled 80 miles total

Step-by-step explanation:

please let me know what you don't understand here. because this is really simple.

the distance from home is increasing and then decreasing when she is traveling.

the rate of distance per time would give us even the speed with which she was traveling.

when there is no change in the distance over time, that means she was "stationary" - either at home or at her grandmother's place.

so, let's answer the questions :

(a)

movement started at 7:30am (that is when she began her journey).

(b)

20 miles

you pick 8am on the time scale and move straight up until you hit the curve. and then you check what value is at that point all the way to the left on the distance scale : 20.

(c)

from 8:30am to 10am = 1.5 hours.

we see this by the interval on the time scale for which the curve is totally flat (a horizontal line) = no change in distance from home during that time.

(d)

at 10am

that is when the curve indicates the begin of a change in the distance to home.

(e)

7.5 miles.

this is the point marked by a star on the graph.

down on the time scale this point shows 11:45am, and on the left side in the distance scale it shows 7.5 miles (the middle between 5 and 10 miles).

so, at that time she was still 7.5 miles away from home.

(f)

she traveled 40 miles to her grandmother (the left part of the curve from 0 distance until it turns flat), and then 40 miles back home (the right part of the curve from 40 distance all the way down to 0).

so, in total she traveled

40 + 40 = 80 miles

Answer:

6/35

Step-by-step explanation:

so he ate 2/5 first day, and the 3/7 the other day, so we need to add the 3/7 to 2/5.

they had to have the same number as their denominator.

so we gonna multiply (5) (3) and (5) (7) and also (7) (2) and (7) (5)

then we have 14/35 and 15/35 so we can add them together to find out 29/35

then we minus it from 35/35 to find out how much is left

35/35 - 29/35 is 6/35 , which is our answer

Answer:

Bottom left = 8

Top right = 15

Middle right = 25

Step-by-step explanation:

Total = 40

3 + 5 = 8

40 / 8 = 5

1 part = 5

5 x 3 = 15

5² = 25

In this equation x=18

Work Shown:

5x-12=3x+24

Add 12 to both sides

5x-12+12=3x+24+12

Simplify

5x=3x+36

Subtract 3x from both sides

5x-3x=3x+36-3x

Simplify

2x=36

Divide both sides by two

2x/2 = 36/2

Simplify

x=18

Answer:

x=18

Step-by-step explanation:

1. Add 12 to both sides

5x-12 +12 = 3x+24 +12

2. Simplify

5x=3x+36

3. Subtract -3x from both sides

5x-3x=3x+36-3x

4. Simplify

2x=36

5. Divide both sides by same factor (2)

2x/2=36/2

6. Simplify

ANSWER: x=18

Step-by-step explanation:

100% = 11.5

20% more means 120%

120% = 100%×1.2 = 11.5×1.2 = 13.8 ounces

Answer:

1.25s [tex]\leq[/tex] 10.00

Step-by-step explanation:

Let's snack = s

Note:

[tex]\leq[/tex] ⇒ Less than or equal to

[tex]\geq[/tex] ⇒ Greater than or equal to

< ⇒ Less than

> ⇒ Greater than

Since we are trying to find how many $1.25 snack packs can be purchased for $10.00.. Thus, that less than or equal to $10.00 which also means we use [tex]\leq[/tex].

Thus the equation is 1.25s [tex]\leq[/tex] 10.00

`lenvy`

Answer:

8 snacks can be purchased

Step-by-step explanation:

10.00/1.25=8

Answer:

Step-by-step explanation:

The amount of fencing provided is 240 meters, and it only needs to cover 3 sides, as one side is the river and does not need to be fenced. 240/3 is 80, which is the length and width of the pasture. 80 is the length and width because squares have a larger area than rectangles if the perimeter is the same.

In conclusion, the pasture is a square with side length of 80. The dimensions of the pasture are 80x80

Hope this helped :)

Answer:

Pu.s - pc = 0

Pu.s -pc ≠ 0

(Answer D)

Step-by-step explanation:

Kahn

The appropriate set of hypotheses for Alex's significance test is option D.

Hypothesis testing is the testing of the relationship between two variables for something we needed to test.

There is null hypothesis and alternate hypothesis.

Null hypothesis, H₀ is the statement we need to test.

Alternate hypothesis, H₁, is true if null hypothesis is false.

Here, given that,

Alex wonders if the same proportion of people are left-handed in the United States and Canada.

He wants to obtain a random sample of people from each country to test if there is a significant difference between the proportion of left-handed people in each country.

H₀ : there is no significant difference

H₁ : there is a significant difference

So the correct option is,

H₀ : p(U.S) - p(C) = 0

H₁ : p(U.S) - p(C) ≠ 0

Hence the correct option is D.

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Answer:

Use Heron's formula; see below.

Step-by-step explanation:

Use Heron's formula.

Let the sides of the triangle have lengths a, b, and c.

[tex] s = \dfrac{a + b + c}{2} [/tex]

[tex] area = \sqrt{s(s - a)(s - b)(s - c)} [/tex]

Example:

A triangle has side lengths 3, 4, and 5 units.

Find the area of the triangle.

[tex] s = \dfrac{a + b + c}{2} [/tex]

[tex] s = \dfrac{3 + 4 + 5}{2} [/tex]

[tex] s = 6 [/tex]

[tex] area = \sqrt{s(s - a)(s - b)(s - c)} [/tex]

[tex] area = \sqrt{6(6 - 3)(6 - 4)(6 - 5)} [/tex]

[tex] area = \sqrt{6(3)(2)(1)} [/tex]

[tex] area = \sqrt{36} [/tex]

[tex] area = 6 [/tex]

Una ecuación cuadratica que solo tiene el termino cuadratico se escribe como:

y = a*x^2

La ecuación cuadratica general se escribe como:

y = a*x^2 + b*x + c

Donde el termino cuadratico es el primero, el segundo es el lineal y el tercero es el constante.

Entonces, si queremos una ecuación cuadratica que solo tenga el termino cuadratico, la ecuación sera:

y = a*x^2

Sí quieres aprender más sobre cuadraticas, puedes leer:

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Answer:

573,300.00 to the nearest 10

Step-by-step explanation:

Answer:i don’t know  the answer the answer but it’s f

Step-by-step explanation:

the answer is

35.6540944227

Answer:

[tex]\displaystyle 250°[/tex]

Explanation:

When converting from radians to degrees, multiply one hundred eighty by the radian measure, then divide it pi:

[tex]\displaystyle \boxed{250°} = 1\frac{7}{18}\pi[\frac{180}{\pi}][/tex]

I am joyous to assist you at any time.

Answer:

It is neither.

Step-by-step explanation:

A whole number is all numbers is 0, 1, 2, 3, 4.... you get it

An irrational number is a number that cannot be written as a fraction and -2 can be written as -2/1

Answer:

342

Step-by-step explanation:

9x38=342, so the answer is 342 crayons

Answer:

342 crayons

Step-by-step explanation:

Each child has 9 crayons. This means each one of the children has 9 crayons for himself or herself. So if there are 38 children,it means each one of the 38 children has 9 crayons.

The total number of crayons is therefore gotten by multiplyiong the number of crayons of each child(9) by the total number of children(38).

∴38×9=342.

Answer:

(-10, 19)

Step-by-step explanation:

Hey there!

In order to find the value of x and y, you need to make a system of equations

Now the question says to use elimination

The elimination method is when you make two values the same and then eliminate them with the proper sign: addition, subtraction, etc.

In this case, the step of making equal values is already done for us since there is 2y in both equations

[tex]-5x-2y=12\\3x+2y=8\\\\-2x=20\\x=-10\\[/tex]

What was done was called elimination

I added both equations together and when you add -2y and 2y, they eliminate each other

Now when you simplify the system, you get that x is equal to -10

Now we can substitute this value into the first or second equation

I am going to do the first equation

[tex]-5(-10)-2y=12\\50-2y=12\\-2y=-38\\y=19[/tex]

So after substituting the x value in the equation, we got the y value

Which is 19

So the solution to this system of equations is:

(-10, 19)

Answer:

338 m^2

Hope this helps!

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[tex]\ln(3x+2) = 3x\\\\\implies \log_e (3x+2) = 3x\\\\\implies e^{3x} = 3x+2[/tex]

Answer:

the answer is 93

Step-by-step explanation:

mean of x,y,z

x+y+z

3 terms

(x+y+z)/3=mean

so

represent next test score as x

89+94+82+84+98+x

count how many terms ther are (6 terms)

mean is 90

(89+94+82+84+98+x)/6=90

add the like terms

(447+x)/6=90

multiply both sides by 6 to clear fraction

447+x=540

subtract 447 from both sides

x=93

Answer:

x = -5

y = -4

Step-by-step explanation:

5x - 4y = -9

10x - 8y = -18

10x - 7y = -22

-y = 4

y = -4

Substitue y into any equation

5x - (-16) = -9

5x = -25

x = -5

Answer:

c = 2.5 , d = - 3

Step-by-step explanation:

f(x) = cx + d

f(4) = 7 ( substitute x = 4 into the equation and equate to 7 )

f(10) = 22 ( substitute x = 10 into the equation and equate to 22 )

4c + d = 7 → (1)

10c + d = 22 → (2)

subtract (1) from (2) term by term to eliminate d

(10c - 4c) + (d - d) = 22 - 7 , that is

6c = 15 ( divide both sides by 6 )

c = 2.5

substitute c = 2.5 into (1) and solve for d

4(2.5) + d = 7

10 + d = 7 ( subtract 10 from both sides )

d = - 3

Answer:

c = 2.5

d = - 3

Step-by-step explanation:

f(x) = cx + d

f(4) = 7

f(10) = 22

4c + d = 7

10c + d = 22

(10c - 4c) + (d - d) = 22 - 7

6c = 15

---    ----

6      6

c = 2.5

4(2.5) + d = 7

10 + d = 7

-10       -10

d = - 3

Both lines would be the same length.

4x-6 = 50

Add 6 to both sides:

4x = 56

Divide both sides by 4:

x = 14