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olga_2 [115]
2 years ago
14

Find the value of x.

Mathematics
1 answer:
riadik2000 [5.3K]2 years ago
7 0
We know that both lines will be equivalent, so to solve for x we can equate the two expressions
5x = 2x + 63
We will first subtract 2x from both sides
3x = 63
We will then divide both sides by 3
x = 21
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Write two ratios equivalent to 24 : 9.
notsponge [240]

Answer:

8:3

16:6

Step-by-step explanation:

First, let's check if 9 and 24 have any common factor. If they do have any common ones, we must find the GCF (greatest common factor).

Factors of 9: 1, 3, 9

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

The common factors both of the numbers share and 1 and 3. To find the GCF, simply compare one of the factors to the other.

1 < 3

Now that we know the GCF, we can divide the two numbers in the ratio 24 : 9 by it (3).

24:9

24/3:9/3

<u>8:3</u>

Now that our ratio is simplified, it's going to be much easier to find more ratios that are equivalent. <u>8:3</u> is already one equivalent ratio, but if we multiply each number in the ratio by any other number, we can get a new equivalent ratio. Let's multiply each number in the ratio by 2:

<u>8:3</u>

8 ⋅ 2:3 ⋅ 2

<u>16:6</u>

<u></u>

So, another equivalent ratio to 24:9 (and <u>8:3</u>) is <u>16:6</u>.

3 0
3 years ago
Pls asap... use trigonometry to find the area of a regular 20- gon with each side = 6 in
irga5000 [103]

Answer:

Area of polygon[20 sides] = 1,140 inch² (Approx.)

Step-by-step explanation:

Given;

Number of sides = 20 sides

Length of each side = 6 inch

Find:

Area of polygon[20 sides]

Computation:

Perimeter of polygon[20sides] = 20 x Length of each side

Perimeter of polygon[20sides] = 20 x 6

Perimeter of polygon[20sides] = 120 inch

Apothem[Shortest distance from center] = S / 2tan[180/n]

Apothem[Shortest distance from center] = 6 / 2tan[180/20]

Apothem[Shortest distance from center] = 6 / 2tan[9]

Apothem[Shortest distance from center] = 18.94

Apothem[Shortest distance from center] = 19 inch (Approx.)

Area of polygon[20 sides] = [Perimeter x Apothem] / 2

Area of polygon[20 sides] = [120 x 19] / 2

Area of polygon[20 sides] = 1,140 inch² (Approx.)

6 0
3 years ago
Plot the intercepts to graph the equation
natulia [17]
Jsjdhdjsjensbejejdndnsksbdjendkebfkendntjd

8 0
3 years ago
Yeah i have no clue how to do this and there's two of them soo help is very much appreciated lol
cluponka [151]

Answer:

2^x - 4 is the answer here

5 0
2 years ago
What is the value of the expression? −1/4+3/8 5/8 Enter your answer in simplest form.
galina1969 [7]
Decimal form
-0.015625

Exact form
-1/60
Negative one over sixty
7 0
3 years ago
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