Find the missing side length.

Answer:

The age of the boy is 15 years

Step-by-step explanation:

Let us assume a be the age of the boy

So, two-third of his age is 2 ÷ 3 × a

As the boy said that two-third minus 1 so it would be equivalent to

  2 ÷ 3 × to - 1

ANd, his current age is a and now if we deduct 6 so

a - 6

AFter this, two-third minus 1 is equivalent to a minus 6

So,  

 2 ÷ 3 × a - 1 = a - 6

- 1 + 6 = a -  2 ÷ 3 × a  

5 =  1 ÷ 3 × a  

a = 3 × 5

 = 15

Hence, The age of the boy is 15 years

Answer: 11

Step-by-step explanation:

Sooooo all I did was take the formula for the area of a triangle ( A= 1/2(b)(h) 0 and plug In the values. So 'b' would be 4 and 'h' would be 5.5. I assumed this rectangle had equal widths and equal heights.

Answer:

See Explanation

Step-by-step explanation:

The question has missing details, as the scale factor is not given. However, I will give a general explanation on how to calculate the area and perimeter of a dilated shape (triangle).

The following assumptions, apply:

(1) Scale factor of 1/2 from the blue to the yellow triangle.

(2) The dimension of the blue triangle are:

[tex]Base = x[/tex]

[tex]Sides= y\ and\ z[/tex]

[tex]Height= h[/tex]

First, calculate the dimensions of the yellow triangle.

The dimension will be the product of the scale factor and the dimensions of the blue triangle.

So, we have:

[tex]Base = \frac{1}{2} * x = \frac{1}{2}x[/tex]

[tex]Sides = \frac{1}{2}y\ and\ \frac{1}{2}z[/tex]

[tex]Height = \frac{1}{2}h[/tex]

The perimeter of the blue triangle is:

[tex]P_1 =Base + Sides[/tex]

[tex]P_1 = x + y + z[/tex]

The perimeter of the yellow triangle is:

[tex]P_2 =Base + Sides[/tex]

[tex]P_2 = \frac{1}{2}x + \frac{1}{2}y + \frac{1}{2}z[/tex]

Factorize

[tex]P_2 = \frac{1}{2}[x + y + z][/tex]

Recall that: [tex]P_1 = x + y + z[/tex]

So:

[tex]P_2 = \frac{1}{2}*P_1[/tex]

This implies that the perimeter of the yellow triangle is a product of the scale factor and the perimeter of the blue triangle.

The area of the blue triangle is:

[tex]A_1 = \frac{1}{2}* Base * Height[/tex]

[tex]A_1 = \frac{1}{2} * x* h[/tex]

[tex]A_1 = \frac{1}{2} xh[/tex]

The area of the yellow triangle is:

[tex]A_2 = \frac{1}{2} * Base * Height[/tex]

[tex]A_2 = \frac{1}{2}* (\frac{1}{2}x) * (\frac{1}{2}h)[/tex]

Rewrite as:

[tex]A_2 = \frac{1}{2}* \frac{1}{2} [\frac{1}{2}x h][/tex]

[tex]A_2 = (\frac{1}{2})^2 *[\frac{1}{2}x h][/tex]

Recall that:[tex]A_1 = \frac{1}{2} xh[/tex]

So:

[tex]A_2 = (\frac{1}{2})^2 *A_1[/tex]

This implies that the area of the yellow triangle is a product of the square of the scale factor and the area of the blue triangle.

Answer:

Venn is the circles and the tree is the green one (ignore the other thing on tree)

Answer:

Step-by-step explanation:

Answer:

3,500

plz mark me as brainliest

Answer:

c the right tail is longer than the left

Step-by-step explanation:

Answer:

first multiples of 2 and second multiples of 1

Step-by-step explanation:

area: 28/4=7

7x7=49

diagonal=square root 7²+7²

9.89949

9.90

hope it can help you

Answer:

7. 8 I think (typing more for the limit)

Answer:

7.8

Step-by-step explanation:

Answer:

70 ft squared

Step-by-step explanation:

Separate into rectangle and triangle then add the found areas together for total area.

rectangle...

10×4=40

triangle...

[tex] \frac{bh}{2} = [/tex]

(12×5)/2=

60/2=30

add area for rectangle and triangle...

40+30=70

Width of Heng's area model is  2x + 1

Step-by-step explanation:

Given:

Greatest common factor is 5x

To Find:

The width = ?

Solution:

let the  be the area

And  5x be the length

Then area  = length  x  width

Now rewriting the formula for width, we get

Width =  

Substituting the values in the above formula

Width =

Width = 2x + 1

Answer:

i think it is 24 meters

Answer:

24 meters

Step-by-step explanation:

perimeter of regular hexagon is

perimeter = 6 × a

where a is the side length

so in the problem a = 4 meters

by apply the formula you will have

perimeter = 6 x 4 meters

perimeter =24 meters

Answer:

Hi! The answer to your question is A. [tex]y=-x-1[/tex]

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x - 12 = 11 - 3x

Bringing like terms on one side

4x + 3x = 11 + 12

7x = 23

x = 23/7

Answer:

B.

3^4 = 81

3^2 = 9

81/9 = 9

Step-by-step explanation:

Answer: B. 9

Step-by-step explanation:

3^4-2=3²

3²=9

y=0.5x+2

y=4

4=0.5x+2

-2        -2

2=0.5x

/0.5 /0.5

4=x

---

hope it helps

Answer:

[tex]x[/tex] = 4

Step-by-step explanation:

If [tex]y[/tex] = 4 then it would look like:

[tex]y[/tex] = .5[tex]x[/tex] + 2

Since .5 is 0.5, Half of 4 equal 2, PLUS the other 2 making it 4!!

Answer:

Each cereal bar weighs 16.8 oz

Step-by-step explanation:

Multiply 12 times 1.4 to get 16.8

Add 16.8 and 1.75 to get 18.55

Hope this helps! Pls mark brainliest

Answer:

Given, m = 3 and n = 4

5×3 + 4×4 – 3

15 + 16 - 3

31 - 3

28

don't forget to like and mark me

Answer:

1) 20.

2) 30.

3) 47.

4) 86.

5) 27.

Step-by-step explanation:

The order of operations consist in, first, evaluate the parenthesis, then the exponents, the multiplication, the division, and as last the addition and subtraction. Having this in mind:

1) (28 ÷ 4) + 3 + (10 - 8) × 5

7 + 3 + 2 × 5

7 + 3 + 10

20

2) 12 - 5 + 6 × 3 + 20 ÷ 4

12 - 5 + 18 + 5

30

3) 36 ÷ 9 + 48 - 10 ÷ 2

4 + 48 - 5

47

4) 10 + 8 × 90 ÷ 9 - 4

10 + 80 - 4

86

5) 8 × 3 + 70 ÷ 7 – 7

24 + 10 - 7

27

Answer:

5

Step-by-step explanation:

Distance Equation Solution:

[tex]d=\sqrt{(2-(-1)^2+(6-2)^2}\\d=\sqrt{(3)^2+(4)^2} \\d= \sqrt{9+6}\\d= \sqrt{25}\\d=5[/tex]

Answer:

7

Step-by-step explanation:

Answer:

50°

Step-by-step explanation:

We are to find m ∠2

And lines A and B are parallel

m ∠2 and 50° are Vertical angles. This means m ∠2 is the same as 50°

Hence,

m ∠2 = 50°

Therefore, m ∠2 = 50°

Answer: 8(8u-5)

Step-by-step explanation:

Find a number that goes into both 64 and 40 the GCF of both is 8 so 8 goes on the outside of the new factor 8u-5 because if we distribute back we should arrive at the original equation

8(8u-5)

Answer:

The length of [tex]\overline{JO}[/tex] is 48.

Step-by-step explanation:

A square is a quadrilateral whose four sides have the same length and four internal angles have the same measure. The sum of measures of internal angles in quadrilaterals equals 360°. Let [tex]m\,\angle BOJ = 4\cdot x -6[/tex] and [tex]BO = 2\cdot x - 8[/tex], the value of [tex]x[/tex] is:

[tex]4\cdot (4\cdot x - 6) = 360^{\circ}[/tex]

[tex]16\cdot x -24 = 360^{\circ}[/tex]

[tex]16\cdot x = 384^{\circ}[/tex]

[tex]x = 24[/tex]

And the length of [tex]JO[/tex] is:

[tex]JO = BO = 2\cdot x - 8[/tex]

[tex]JO = 40[/tex]

The length of [tex]\overline{JO}[/tex] is 48.

Answer:

9.02 x 10^6

Step-by-step explanation:

hope this helps!

Answer:

Step-by-step explanation:

2.3

Step-by-step explanation:

the beginning number is the beginning of your range the last number is the end of your range

Answer:

[tex]\frac{3}{1}[/tex]

Step-by-step explanation:

Put a 1 under it.