please help!!!!!!!!!!!

Answer:

x = 30

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

4x-18  = 2x+6 + 36

Combine like terms

4x-18 = 2x+42

Subtract 2x from each side

4x-18-2x =2x+42-2x

2x-18 =42

Add 18 to each side

2x-18+18 = 42+18

2x= 60

Divide by 2

2x/2 = 60/2

x = 30

Answer:

Angles 1 and 5 are corresponding

Answer:

the longest side of the first triangle is 32 cm

Step-by-step explanation:

Given;

dimension of the smaller triangle =  4.5cm 6cm and 8 cm.

the longest side of this smaller triangle = 8 cm

Perimeter of the first triangle = 74 cm

let the increase in dimension of the similar first triangle = x

the longest side of the first triangle = 8x

4.5x + 6x + 8x = 74

18.5x = 74

x = 74/18.5

x = 4

the longest side of the first triangle = 8 x 4 = 32 cm

Answer:

6:22

Step-by-step explanation:

4:55 + 1:27 = 6:22

Answer:

B

Step-by-step explanation:

If you substitute in the value x = 1, and y = 4 (based on the point given), (2x)^2 is the only expression that makes it work.

Hope this helps!!

Answer:

10 cm

Step-by-step explanation:

From the diagram,

Applying,

lw = 5/2(bh)..................... Equation 1

Where l = length of the rectangle, w = width of the rectangle, b = base of the triangle, h = height of the triangle.

make w the subject of the equation

w = 5(bh)/2l............... Equation 2

From the diagram,

Given: l = 12 cm, b = 6 cm, h = 8 cm

Substitute into equation 2

w = 5(6×8)/(2×12)

w = 10 cm

Hence the width of the rectangle is 10 cm

Answer:

s = 25

Step-by-step explanation:

First we go from point (30, 50) to point (-10, 30).

Change in x: -10 - 30 = -40

Change in y: 30 - 50 = -20

Since a change in x of -40 results in a change in y of -20, we divide both changes by 4 to get:

a change of -10 in x results in a change of -5 in y.

Now we go from point (-10, 30) to point (-20, s).

The change in x is -20 - (-10) = -10

The corresponding chang ein y must be -5.

y = 30 - 5 = 25

Answer: s = 25

Answer:

x = - 2, x = 3

Step-by-step explanation:

Given

x² - x - 6 = 0

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 1)

The factors are + 2 and - 3 , since

2 × - 3 = - 6 and 2 - 3 = - 1 , then

(x + 2)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 3 = 0 ⇒ x = 3

Answer:

[tex]x^2-x-6=0[/tex]

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hope it helps...

have a great day!!

Answer:

3 + (5 + 7) = (3 + 5) + 7

Associative property

(3){5(7)} = (3){7(5)}

Commutative Property

5 + 0 = 5

Identity Property

Step-by-step explanation:

Answer:

186

Step-by-step explanation:

Your entire surface area is

216

the area of the rectangle on the bottom is 30

substract 30 from 216

Answer:

A and C are functions.

The domain is x and the range is y

Step-by-step explanation:

Each x - value can have only one y -value

Function= unique x-values

Y can be the same answer but the X has to be different

Answer:

173

Step-by-step explanation:

Area of dirt in the flower bed = area of flowerbed - area of 3 trapezoids

Area of flowerbed:

The flowerbed is in the shape of a parallelogram

The area of a parallelogram can be calculated by multiplying the base length times the height

Base length = 20ft

Height = 10ft

Area of flowerbed = 10 * 20 = 200ft^2

Area of rockbeds

The rockbeds are in the shape of trapezoids

The area of a trapezoid can be calculated using this formula

A = (a + b)/2 * h

Where a and b = bases and h = height

The rockbeds of base lengths of 2 and 4 and have heights of 3

So area of rockbeds = (4 + 2)/2 * 3

4 + 2 = 6

6 / 2 = 3

3 * 3 = 9

We then multiply that by 3 ( because there are three rockbeds )

9 * 3 = 27

Finally we subtract the areas

200 - 27 = 173

Answer:

yes iam help to you. have a nice day

Answer:

mean: 38

range: 27

median: 40

Step-by-step explanation:

mean: 40+13+49+52+35 / 5

range: 40 - 13

median : 40

Answer:

Mean = 38

Range = 40

Median = 40

Step-by-step explanation:

Arrange the terms in ascending order :

13, 35 , 40 , 49 , 53

[tex]Mean = \frac{40 + 13 + 49 + 53 + 35}{5} = 38[/tex]

[tex]Range = {53 - 13} = 40[/tex]

[tex]Median = \ the \ middle \ term = 40[/tex]

Answer:

-2

Step-by-step explanation:

I hope it helps

Answer:

8

Step-by-step explanation:

6x+1 = 9x-23

add 23 to both sides

subtract 6x from both sides

3x=24

x=8

Answer:

8 =x

Step-by-step explanation:

The angles are the same so

6x+1 = 9x-23

Subtract 6x from each side

6x+1-6x = 9x-6x-23

1 = 3x-23

Add 23 to each side

1 +23 = 3x-23+23

24 = 3x

Divide by 3

24/3 = 3x/3

8 =x

Answer:

I don't know this answer

Answer:

28.27 inches ^2

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

[tex]2xy^{2}-5y^{5}[/tex]

Binomial should have two terms. Five degree binomial means highest degree of the binomial should be 5

The value of 50°C in °F is,

⇒ 122° F

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that;

To Convert 50°C to °F.

Now, We get;

⇒ (50 × 9/5) + 32

⇒ 90 + 32

⇒ 122° F

Thus, The value of 50°C in °F is,

⇒ 122° F

Learn more about the measurement unit visit:

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Answer:

[see below]

Step-by-step explanation:

The bike's original price is 300 dollars. It has been discounted by 30%.

300 * 0.3 = 90

The price would be 90 dollars off.

300 - 90 = 210

$210 would be the subtotal.

There is also an 8% sales tax.

210 * 0.08 = 16.80

210 + 16.80 = 226.80

Hope this helps you!

Answer:

cost of the bike =$300

discount = 30%

Price of the bike ={ (30/100)×300}-300=210

Sales tax= 8%

Final cost =( 8/100)×210=16.80+210=226.80

Answer:

£ 84

Step-by-step explanation:

Let :-

Given ratio :-

→ Sum of ratios = 4 + 3 + 5 = 12 .

According to Question :-

→ 3/12 × x = £21

→ x = £21 × 12/3

→ x = £ 84 .

Answer:

£84.

Step-by-step explanation:

There are 4 + 3 + 5 = 12 parts.

The second person got 3 parts so we can write:

3/12 x = 21      where x is the required amount of money

x = 21 * 12/3

= 21 * 4

= £84.

Step-by-step explanation:

v = u + at

u+at=v

at = v-u

a = v-u

t

Hope this helps you :)

Answer:

16.6 inches

Step-by-step explanation:

using the pythagorean theorem which is a^2 + b^2 = c^2 you can add 9^2 + 14^ together to get 277 and when you find the square root of 277 you get 16.6

x is the unknown remaining edge of the base.

Using Pythagoras theorem in the base, we have:

[tex]8 {}^{2} + x {}^{2} = 10 {}^{2} [/tex]

[tex] = > \: x = \sqrt{10 {}^{2} - 8 {}^{2} } = 6[/tex]

with x = 6, the perimeter of the base is 10 + 8 + 6 = 24

Answer: u = 3

Step-by-step explanation:

Divide each side by -7 to get u = 3.

Answer:

3

Step-by-step explanation:

-7u = -21

To solve the problem we need to isolate u. Since -7 is being multiplied by u, we could divide to get rid of it.

-7u

[tex] \frac{ - 7u}{ - 7} = - 21 \div - 7[/tex]

u= -21/-7

u = 3

Answer: Grade 8

Step-by-step explanation: The bar graph indicates by color which the number of students who liked said food more. Grade 8's bar is higher than every other grade showing us that their grade 8 liked spaghetti the most.

The grade liked spaghetti the most is Grade 8

For given question,

The bar graph represents the results of the survey where everyone in grades 6 through 9 voted for their favorite cafeteria lunch.

If we observe the bars of each class for the Spaghetti then, Grade 8's bar is higher than every other grade.

This means that grade 8 liked spaghetti the most.

Therefore, the grade liked spaghetti the most is Grade 8

Learn more about the bar graph here:

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Answer:

x = 30

Step-by-step explanation:

If two triangle are similar then the measure of their corresponding sides are

proportional.

   [tex]\frac{JL}{PQ} = \frac{JK}{PR}\\\\\frac{20}{x} = \frac{24}{36}\\\\x \times 24 = 20 \times 36[/tex]                              [tex][ \ cross \ multiply \ ][/tex]

   [tex]x = \frac{20 \times 36}{24}\\\\x = 5 \times 6 = 30[/tex]

Answer:

t = 3 hours

Step-by-step explanation:

The distance between A and B is 198 km

Kenan traveled by car from A to B at an average speed of 66km/h

We need to find the time taken to complete the journey. It can be solved as follows :

[tex]v=\dfrac{d}{t}\\\\t=\dfrac{d}{v}\\\\t=\dfrac{198}{66}\\\\t=3\ h[/tex]

So, the required time is equal to 3 hours.