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4 years ago

30 points for brainliest need help asap

Mathematics

2 answers:

goldenfox [79]4 years ago

8 0

Answer:

The value of x is equal to $x=7\ units$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

In this problem

$\frac{8}{14}=\frac{2x-2}{3x}\\ \\8*(3x)=14*(2x-2)\\ \\24x=28x-28\\ \\28x-24x=28\\ \\4x=28\\ \\x=7\ units$

masya89 [10]4 years ago

4 0

Answer: x=7 units

Step-by-step explanation:

In the given picture, we have given two similar right triangles.

Since, we know that the corresponding sides of similar triangles are proportional.

Therefore for the given triangles, we have

$\frac{3x}{6+8}=\frac{2x-2}{8}\\\\\Rightarrow\frac{3x}{14}=\frac{2x-2}{8}\\\\\Rightarrow8(3x)=14(2x-2)\\\\\Rightarrow\ 24x=28x-28\\\\\Rightarrow\ 28x-24x=28\\\\\Rightarrow 4x=28\\\\\Rightarrow\ x=7$

Hence, the value of x=7 units

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Question Progress

andreyandreev [35.5K]

The two numbers are 3 and 18, if the sum of two number is 21 and the second number is six times the first number.

Step-by-step explanation:

The given is,

The sum of two numbers is 21

The second number is six times the first number

Step:1

Let, m - First number

n - Second number

Step:2

From given,

n - 6m ( The second number is six times the first number )

Equation becomes,

Sum = m + n

Where,

21 = m + ( 6m )

21 = 7m

m = 3

Substitute m value n becomes,

n = 6m

= (6 × 3)

n = 18

Result:

The two numbers are 3 and 18, if the sum of two number is 21 and the second number is six times the first number.

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1 Middle School Mathematics 5 points stio49304Asked 03.20.2020 Charlotte runs a farm stand that sells bananas and raspberries. E

denis23 [38]

Answer:

The number of pounds of bananas sold are 50 and the number of pounds of raspberries sold are 37.

Step-by-step explanation:

Given:

Charlotte runs a farm stand that sells bananas and raspberries.

Each pound of bananas sells for $3.25 and each pound of raspberries sells for $1.75.

Charlotte sold 13 more pounds of bananas than pounds of raspberries and made $227.25 altogether.

Now, tot find the number of pounds of bananas sold and the number of pounds of raspberries sold.

Let the number of pounds of raspberries be $x.$

Let the number of pounds of bananas be $x+13.$

Selling price of each pound of raspberries = $1.75.

Selling price of each bananas = $3.25.

Total price of bananas and raspberries sold = $227.25.

Now, we put an equation to get the number of pounds of bananas sold and the number of pounds of raspberries sold:

$x(1.75)+x+13(3.25)=227.25\\\\1.75x+3.25x+42.25=227.25\\\\5x+42.25=227.25$

Subtracting both sides by 42.25 we get:

$5x=185$

Dividing both sides by 5 we get:

$x=37.$

The number of pounds of raspberries = 37 pounds.

Substituting the value of $x$ :

$x+13\\\\=37+13\\\\=50.$

The number of pounds of bananas = 50.

Therefore, the number of pounds of bananas sold are 50 and the number of pounds of raspberries sold are 37.

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