The diagram shows two congruent equilateral triangles whose overlap is a hexagon.
The areas of the smaller triangles, which are also equilateral, are 1, 1, 9, 9, 16 and 16, as shown.
16
16
X1
9
What is the area of the inner hexagon?

x = 3 and y = 7 are the answers to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27.

A linear equation is an equation that describes a straight line on a coordinate plane. It is an equation of the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept (the point where the line intersects the y-axis).

To solve the simultaneous equations:

8x + 3y = 45 ...(1)

2x + 3y = 27 ...(2)

By adding or removing equations, we can utilise the procedure of elimination to get rid of one of the variables. In this situation, y can be removed by deducting equation (2) from equation (1) as shown below:

(8x + 3y) - (2x + 3y) = 45 - 27

6x = 18

x = 3

In order to obtain the value of y, we can now change the value of x in either equation (1) or (2). Consider using equation (1):

8x + 3y = 45

8(3) + 3y = 45

24 + 3y = 45

3y = 45 - 24

3y = 21

y = 7

Therefore, the solution to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27 is x = 3 and y = 7.

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Answer:

=2 (2/3)-5 (1/4) (putting the values of x and y)

=4/3-5/4

=4-5/4

-1/2

Answer:

1/12

Step-by-step explanation:

2(2/3) = 4/3 and 5(1/4) = 5/4

Answer:

240

Step-by-step explanation:

if you mulitiply 6 and 5 to get 30 times 8 you get 240

sorry if wrong

Answer:

???

Step-by-step explanation:

Answer:x^2 -1

x square minus one

Step-by-step explanation:

Answer:

the slope is -3 and the y intercept is 12

Answer:

sas

Step-by-step explanation:

Annie is 6 years old

15-3=12

12 divided by 2 is 6

Answer:

20

Step-by-step explanation: 20 divided by 3 is 6, so if you divided that 120 by 6 you get 20.

Answer: 50 feet

Step-by-step explanation:

Let the length be represented by x

The width of the basement is 4/5 its length. Therefore, the width is 4/5x = 0.8x

Area = Length × Breadth

2000 = x × 0.8x

0.8x² = 2000

x² = 2000/0.8

x = ✓2500

x = 50

Therefore, the length is 50feet

Answer:

because a co-efficient is the multiplicative factor in polynomials and it's minus 4 before the y. you would just take the minus and put it with the 4 otherwise it would just be floating there ig.

Step-by-step explanation:

Answer: c I’m pretty sure

Step-by-step explanation:

Answer:

6.04 inches

Step-by-step explanation:

1 in. = 100 Ft.

604 Ft / 100Ft = 6.04

Answer:

6.04 inches

Step-by-step explanation:

Given expression: 604 ÷ 100

The actual height of the building is 604 feet, and if Corbin wants to scale it down 1:100, then he would divide the height of the building by 100 to get the height in inches of the model.

Answer:

mathw a y

Step-by-step explanation:

use mathw a y to help solve questions like this

Answer: 6 laps

Step-by-step explanation: 1/4 x 6 = 1 and 1/2

The number of laps Freddie walk around the track is, 4

Division is a mathematical operation, in which we distribute the number in equal parts, the number on the upper side is the total quantity and the number on the bottom side is equal parts of numbers which have to be distributed.

We denote division by '÷' this symbol.

Given that,

Freddie made the number line  to model the laps he walks around a track at his school,

And each lap is 0.25 miles,

And Freddie walks a total of 1 mile,

So to find the number of laps he walks,

we can divide the total distance by the distance per lap:

Number of laps = 1/0.25  mile/miles per lap

                          = 4 laps

Hence, the number of laps is 4

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Answer:

So, the correct option is A. x = 9, y = 14 , Sides are 11 and 20

Step-by-step explanation:

P.S - the exact question is -

As given in the question ,

Side AB = Side AD

⇒y - 3 = x + 2

⇒y - x = 2 + 3 = 5

⇒y - x = 5                        .........(1)

Also, given

Side BC = Side CD

⇒2x + 2 = x + 11

⇒2x - x = 11 - 2

⇒x = 9

∴ equation (1) becomes

y - 9 = 5

⇒y = 5 + 9 = 14

⇒y = 14

∴ we get

x = 9, y = 14

Now,

as given ,

Side AB = y - 3

⇒ AB = 14 - 3 = 11

Side BC = 2x + 2

⇒ BC = 2(9) + 2 = 18 + 2 = 20

Side CD = x + 11

⇒ CD = 9 + 11 = 20

Side DA = x + 2

⇒DA = 9 + 2 = 11

∴ we get

The sides are 11 and 20

So,

The correct option is A. x = 9, y = 14 , Sides are 11 and 20

Answer:

9 years po sana po makatulong

Step-by-step explanation:

sana po makatulong 9 years

Answer:

Neither  do i

JK

heehee

Step-by-step explanation:

EF/DF

EF/DE

(the last one)

hope this helps! :D

have a grrrreat day/night

byeeee

Answer:

[tex]\frac{x^3 +7x^2-2x-6}{x+ 7} \ = \ x^2 -2 \ +\ \frac{8}{x^3 +7x^2-2x-6}[/tex]

Step-by-step explanation:

Given polynomial function;

x³ + 7x² - 2x - 6

divisor of the polynomial = x + 7

The function is divided as follows;

                                   x²  - 2

                               ---------------------------

                  x + 7   √ x³ + 7x² - 2x - 6

                              - (x³  + 7x²)      ↓

                              -----------------------------

                                                 -2x - 6

                                               - (-2x - 14)

                               -----------------------------------

                                                           8

Since there is a remainder of 8, then the result is expressed as follows; [tex]q(x) + \frac{r(x)}{b(x)} = x^2 -2 \ +\ \frac{8}{x^3 +7x^2-2x-6}[/tex]

Answer:

7

Step-by-step explanation:

3(2) + 1

3 x 2 = 6

6 + 1 = 7

Answer:

7

Step-by-step explanation:

3(2) + 1

6 + 1

=7

Answer:

I'll help u with #1 then u can do the others hopefully

Step-by-step explanation:

y=mx+b

1. slope=m

slope=1.5 so y=1.5x+b

y-intercept=b

y-intercept=5 (because (0, 5) means x is 0 and y is 5, which is that point)

Answer: y=1.5x+5

Answer:

a = 11

Step-by-step explanation:

Given the equation 2/3a - 7 = 1/3

We are to find the value of a that satisfies the equation

2/3 a = 1/3 + 7

2/3 a = (1+21)/3

2/3 a = 22/3

2a = 22

a = 22/2

a = 11

Hence the value of a that satisfies the equation is 11

Answer:

[tex] {2}^{3} \times \sqrt{2} \\ = {2}^{3} \times {2}^{ \frac{1}{2} } \\ = {2}^{(3 + \frac{1}{2})} \\ = {2}^{ \frac{(6 + 1)}{2} } \\ = {2}^{( \frac{7}{2}) } \\ = \boxed{ {2}^{(3.5)} }✓[/tex]

Answer:

6.99$

Step-by-step explanation:

Answer:

A: [tex]\frac{1}{2\sqrt{x-1} }[/tex]

B:[tex]\frac{1}{4\sqrt[4]{x^{3} } }[/tex]

c: 2x

Step-by-step explanation:

To find the derivative of x raised to the nth power we use the following template

[tex]x^{n}=nx^{n-1}[/tex]

Something else to keep in mind is that

[tex]\sqrt[n]{x^{y}}=x^{y/n}[/tex]

So knowing this we can rewrite a as follows

[tex]\sqrt{x-1} =(x-1)^{1/2}[/tex]

so we can use the template above and get

[tex]\frac{1}{2}(x-1)^{.5-1}[/tex]

So that simplifies to

[tex]\frac{1}{2}*(x-1)^{-\frac{1}{2}[/tex]

[tex]\frac{(x-1)^{-.5}}{2}[/tex]

[tex]\frac{1}{2\sqrt{x-1} }[/tex]

B: Same kind of deal here

[tex]\sqrt[4]{x}=x^{\frac{1}{4} }[/tex]

[tex]\frac{1}{4} *x^{\frac{1}{4}-1}[/tex]

[tex]\frac{x^{-\frac{3}{4}}}{4} =\frac{1}{4\sqrt[4]{x^{3} } }[/tex]

C: this one is by far the easiest because the derivative of a constant is 0 so we can just apply the same template from before and get

2x

Answer:

Angle ABC = 90°

Step-by-step explanation:

Angle AOC= 180°

so Angle ABC = 0.5 x AOC

or another way to explain is

Rule 1: Angles in semi circle are always 90°

Answer:

5

Step-by-step explanation:

divide 10 by 2

Answer:

There are 5 boys in the class