The diagram shows a regular hexagon and a regular pentagon.
Calculate the size of the angle marked x.
You must show all your working.

Meredith model of the division problem can be represented as a quotient

The division problem of the number line is y = 8x or y/8

From the complete question, we have the following parameters:

Represent the length of the number line with y, and the quotient with x.

So, the equation of the division problem is:

x = y/8

Rewrite as:

y = 8x

Hence, the division problem of the number line is y = 8x or x = y/8

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Answer:

the table of values?

Step-by-step explanation:

x-3 + 2 < 10

x - 1 < 10 .... combine like terms

x-1+1 < 10+1 ... add 1 to both sides

x < 11  is the answer

If you need to graph it, then place an open circle at 11 on the number line. Shade to the left.

if x - 3 + 2 is less than 10 then you would solve this question like this,

x - 3 + 2 < 10

x -(3+3) + 2 < 10 + 3

x + 2 < 13

x +(2-2) < 13 - 2

x < 11

Answer:

no

Step-by-step explanation:

using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares of the other 2 sides then the triangle is right.

longest side = 12 , then 12² = 144

7² + 10² = 49 + 100 = 149

since 149 ≠ 144 then the triangle is not right

Answer:

c > 9

Step-by-step explanation:

[tex]\dfrac{2c}{3}+1 > 7[/tex]

Subtract 1 from both sides:

[tex]\implies \dfrac{2c}{3} > 6[/tex]

Multiply both sides by 3:

[tex]\implies 2c > 18[/tex]

Divide both sides by 2:

[tex]\implies c > 9[/tex]

hello

2 c /3 + 1 > 7

2 c /3  > 21/3 - 3/3

2 c > 18

c > 9

] 9 : + ∞ [

Answer:

2x^3-8x+5x^2-20

2x(x^2-4)+5(x^2-4)

(2x+5)(x^2-4)

(2x+5)(x+2)(x-2)

Hey there!

How to calculate Surface area

Step 1: Find the area of the top and the base triangles using the formula, Area of the two base triangles = 2 × (1/2 × base of the triangle × height of the triangle) which simplifies to 'base × height' (bh).

Step 2: Find the product of the length of the prism and the perimeter of the base triangle which will give the lateral surface area = (S1 + S2 + h) × l.

Step 3: Add all the areas together to get the total surface area of a right triangular prism in square units. This means, total surface area of a right triangular prism = (S1 + S2 + h) × l + bh

⇒ SA = (12 + 15 + 9) × 6 + (12)(9)

⇒ SA = (36)(6)+(108)

⇒ SA = 324 square units

Thus, the surface area of the right triangular prism is 324 square units.

Answer:

(2,1)

Step-by-step explanation:

The point with a horizontal distance of 4 units and a vertical distance of 5 units from (6, -4) is (2, 1).

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

To determine the point with a horizontal distance of 4 units and a vertical distance of 5 units from (6, -4), we can use the given coordinates as a reference.

Starting from (6, -4), a horizontal distance of 4 units means we will move 4 units to the right or left on the x-axis.

we move to the left.

This brings us to the x-coordinate of 6 - 4 = 2.

Next, a vertical distance of 5 units means we will move 5 units up or down on the y-axis. Since we want a positive vertical distance, we move up.

This brings us to the y-coordinate of -4 + 5 = 1.

Therefore, the point with a horizontal distance of 4 units and a vertical distance of 5 units from (6, -4) is (2, 1).

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Answer:

zqxwsecdvrfr

Step-by-step explanation:

Answer:

[tex]\frac{1}{650}[/tex]

Step-by-step explanation:

There are 52 cards in a deck. 4 of them are aces. Hence, one probability of you drawing an ace is [tex]\frac{4}{52}[/tex], or [tex]\frac{1}{13}[/tex]. 13 times 500 is 650. Hence, the answer is 1/650.

Answer:

f(-1)=8

f(3)=-4

Step-by-step explanation:

when x equals -1 you substitute -1 for x in the equation which would look like 5-3(-1) which you would then multiply -3 by -1 and get 3 which 5+3 would equal 8 so f(-1) equals 8

When x equals 3 you substitute 3 for x in the equation which would look like 5-3(3) which you would then multiply -3 by 3 which would give you 5-9 which equals -4 so f(3) equals -4

Answer:

∠1 = 137

∠2 = 43

∠3 = 137

Step-by-step explanation:

∠2 and 43 are alternate interior angles.

Alternate interior angles are equal.

So,

∠2 = 43.

∠1 and ∠3 are also alternate interior angles,

So,

∠1 = ∠3

∠1 and 42 are linear pair angles.

Sum of linear pair angles is 180,

∠1 + 42 = 180

∠1 = 180 - 43

∠1 = 137

Since,

∠1 = ∠3

So,

∠3 = 137

Hence,

∠1 = 137

∠2 = 43

∠3 = 137

Note : -

Alternate interior angles and linear pair angles are properties of angles.

And are applicable when two lines intersect or more than two lines interest.

The investment that increase by a factor of 5 in 20 years, has a growth of 8.38% per year.

An exponential function is in the form:

y = abˣ

Where y,x are variables, a is the initial value of y and b is the multiplication factor.

Given that an investment increasing in value exponentially, to increase by a factor of 5 in 20 years. Hence:

Factor per year = [tex]5 ^\frac{`1}{20}=1.0838[/tex]

Growth per year = 1.0838 - 1 = 0.0838 = 8.38%

The investment that increase by a factor of 5 in 20 years, has a growth of 8.38% per year.

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Answer:

c

Step-by-step explanation:

When it says 5(4+8)

It means

5 x 4 + 5 x 8

But you could also say that as

5(4) + 5(8)

Since

5 x 4 and 5(4) are the same

Hope this helped you

:-)

Answer:

150/100

Step-by-step explanation:

Answer:

z= 150

Step-by-step explanation:

Answer:

387

Step-by-step explanation:

Answer:

387

Step-by-step explanation:

13+5

18*21

378+9

=387

Answer:

Infinitely many solutions

Step-by-step explanation:

Infinitely many solutions because no matter what you put in for x the equations will always be true

Answer:

F(t)=6t+15t^2−16/3 t^3 + C

Step-by-step explanation:

hope this helps

Answer:

=−4

Step-by-step explanation:

10−10−1−3

=0−1−3

=−1−3

=−4

Answer:

the boy can touch the ceiling (passive voice)

Answer:

5.75

Step-by-step explanation:

14 - 8.25 = 5.75

Answer:

the least common denominator for 3 and 6 is 6

1.5 dollars per candy bar because 13.50 divided by 9 is 1.5 :)

Answer:

The answer i as c

Step-by-step explanation:

Answer:

125.05

Step-by-step explanation:

Used a calculator lol

Answer:

reflection in the line y = 2

Step-by-step explanation:

the line y = 2 is a horizontal line passing through all points with a y- coordinate of 2

shape A is 1 unit above this line

shape B is 1 unit below this line

then triangle A will map to triangle B under a reflection in this line

The water level will be 10 feet or lower by tomorrow, the correct inequality for this is x [tex]\leq \\[/tex] 10. Hence, the first option is the correct one.

A connection in mathematics that compares two numbers or other mathematical expressions in an unequal way is known as an inequality. It is most frequently used to compare the sizes of two numbers on the number line. To indicate various sorts of inequalities, a variety of notations are used:

These relationships are referred to be stringent inequalities since an is either strictly less than or strictly greater than b in these cases.

According to the question,

water will be equal to 10 feet or lower than 10 feet it cannot be greater than 10 feet.

Assume water is represented by x.

For water equal to 10 feet: x = 10 feet and,

For water lower than 10 feet: x < 10 feet.

So, we can write both like this: x [tex]\leq[/tex] 10

This concludes that the first option is correct.

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Step-by-step explanation:

Factors of 8xy:   2    2    2   x   y

Factors of 10x2y:   5   2    2    x    y    

Factors of 12xy2:    2    2    2    3    x    y

Find the numbers or variables they all have in common.