Each pair of triangles is similar Find the value of x

Using proportions, it is found that Harri spent £76.91 on fuel last month.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using basic arithmetic operations, especially multiplication and division with the rates.

For this problem, we have that Harri drove 850 miles with a rate of 45.6 miles per gallon hence the number of gallons that Harri used is given as follows:

850/45.6 = 18.64 gallons.

Each gallon is equivalent to 3.78541 liters, hence the number of liters that Harri used is given as follows:

18.64 x 3.78541 = 70.56 liters.

The cost per liter was of £1.09, hence the amount that Harri spent during the last month is given as follows:

70.56 x 1.09 = £76.91.

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Answer:

Step-by-step explanation:

Set up the following ratio which applies to all angle bisectors  and the side opposite.

8 / (x + 4) = 12 / (2x + 1)                Cross multiply

8 * (2x + 1) = 12 * (x + 4)

16x + 8 = 12x + 48                        Subtract 8 from both sides

16x + 8 -8 = 12x + 48-8

16x = 12x + 40                              Subtract 12x from both sides

16x - 12x = 40

4x = 40                                         Divide by 4

4x/4 = 40/4

x = 10

Answer:

[tex]V = \frac{4}{3} \pi r^{3}[/tex]

Step-by-step explanation:

Evaluate the 3 for r.

Ans. 36π or 113

Answer:

113cm^3

Step-by-step explanation:

V=4/3 pi r^3

Answer:

divide them by what?

or fivide it with eachother?

Answer:

1000000

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

Answer:

n = 31/32

Step-by-step explanation:

Hope I was able to help:))

Answer:

After making the deposit, he/she still has a bank account of -4 dollars.

Step-by-step explanation:

Answer:

wfe

Step-by-step explanation:

333/500

Answer:

2/3

Step-by-step explanation:

2/3=0.6666666667 or 0.6 recuring

Answer:

Yes it is equivalent

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

1. combined your like terms (8+5)k

2. add 8+5

3. Answer 13k (bring your K down)

3 60/79

•Finding the top part of the fraction

#Firstt times 79 with 3

79× 3 = 237

#Then, u plus it with 60

237 + 60 = 297

•Bottom part

#The bottom part of the fraction stay the same so,

297/79

#Hope my answer is correct cuz i dont use calc to do this

Answer:

A

Step-by-step explanation:

I just plugged each variable into the equation. A is the only one that works.

Expand the binomial first, then distribute the 4:

4 (x + 1)² = 4 (x ² + 2x + 1)

… = 4•x ² + 4•2x + 4•1

… = 4x ² + 8x + 4

Answer:

El mayor número de panes que Mina puede hacer con la harina que tiene es 9 torrejas de pan.

Step-by-step explanation:

Una hogaza equivale a 12 torrejas de pan, si Mina tiene [tex]\frac{4}{5}[/tex] de la harina necesaria para preparar una hogaza. Entonces, el número total de torrejas es [tex]\frac{4}{5}[/tex] de 12 torrejas de pan. Es decir,

[tex]x = \frac{4}{5}\times 12[/tex]

[tex]x = 9.6[/tex]

Puesto que la cantidad de hogazas en un número entero, se trunca al entero más cercano. En consecuencia, el mayor número de panes que Mina puede hacer con la harina que tiene es 9 torrejas de pan.

surface area of this cone?

Use A= 3.14 and round your answer to the nearest hundredth

9 ft

6 ftsurface area of this cone?

Use A= 3.14 and round your answer to the nearest hundredth

9 ft

6 ftsurface area of this cone?

Use A= 3.14 and round your answer to the nearest hundredth

9 ft

6 ftv

Answer:

19.42

Step-by-step explanation:

Answer: 1 and a half batches

Step-by-step explanation:

The solution to the set is .x = negative 8 and x = 24.

The separation of a number from a number line's origin is referred to as a number's absolute value. It is denoted by the symbol |a|, which specifies the size of any integer 'a'. Any integer's absolute value, regardless of its sign or whether it is positive or negative, will be a real number. The modulus of a, which is how two vertical lines |a| are used to symbolise it.

Given:

|4 - x/2| = 8

So, there are two possibilities

4- x/2 = 8  or 4 - x/2 = -8

-x/2 = 8-4 or -x/2 = -8-4

-x/2 = 4  or -x/2 = -12

x= -8 or x= 24

Hence, the solution to the set is .x = negative 8 and x = 24

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Answer:

D

Step-by-step explanation:

- ÷ + = -

AND 64/4 IS 16

SOO -16 IS THE CORRECT ANSWER

Answer

C

You just reverse the way you read the question.

Answer:

B

Step-by-step explanation:

Because the legs of the triangle (not the hypotenuse) are equal to each other, x is 45 degrees.

Answer:

there right

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

4,3cm

Step-by-step explanation:

Passo 1

Um losango tem 2 diagonais, cujos comprimentos não são iguais

Temos que encontrar o comprimento da segunda diagonal

A fórmula é dada como:

Área de um losango = 1/2 (d1 × d2)

Área do losango = 12 cm²

d1 = Comprimento da primeira diagonal = 8cm

d2 = Comprimento da segunda diagonal = x

12 = 1/2 (8 × x)

12 = 1/2 (8x)

12 = 4x

x = 12/4

x = 3cm

O comprimento da segunda diagonal = 3 cm

Passo 2

A fórmula do comprimento da lateral de um losango é dada como:

s = √d1² + d2² / 2

d1 = 8cm

d2 = 3 cm

s = √8² + 3² / 2

s = √64 + 9/2

s = √73 / 2

s = 8,5440037453 / 2

s = 4,2720018727 cm

Aproximadamente = 4,3 cm

Answer:

5

Step-by-step explanation:

Since the two lines are parallel, they must have the same slope. This means that the slope of green line must be 5 just like the red line. You can also use the slope formula (rise/run) or change in y divided by change in x.

Answer:

135 cm

Step-by-step explanation: