Given:
The ratio of the measures of the sides of a triangle is 3:4:5.
Its perimeter is 48 inches.
To find:
The scale factor as a decimal, and the measure of each side of the triangle.
Solution:
Let x be the scale factor. Then the measures of sides of the triangle are 3x, 4x and 5x.
The perimeter of the triangle is 48 inches. It means the sum of all sides of the triangle is 48 inches.
![3x+4x+5x=48](https://tex.z-dn.net/?f=3x%2B4x%2B5x%3D48)
![12x=48](https://tex.z-dn.net/?f=12x%3D48)
Divide both sides by 12.
![x=\dfrac{48}{12}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B48%7D%7B12%7D)
![x=4](https://tex.z-dn.net/?f=x%3D4)
Now, the measures of sides are:
![3x=3(4)](https://tex.z-dn.net/?f=3x%3D3%284%29)
![3x=12](https://tex.z-dn.net/?f=3x%3D12)
Similarly,
![4x=4(4)](https://tex.z-dn.net/?f=4x%3D4%284%29)
![4x=16](https://tex.z-dn.net/?f=4x%3D16)
And,
![5x=5(4)](https://tex.z-dn.net/?f=5x%3D5%284%29)
![5x=20](https://tex.z-dn.net/?f=5x%3D20)
Therefore, the scale factor is 4 and the measures of sides are 12, 16 and 20.
Answer:
A compound inequality contains at least two inequalities that are separated by either "and" or "or". ... A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x < 2 or as -1 < x < 2.
Step-by-step explanation:
A compound inequality contains at least two inequalities that are separated by either "and" or "or". ... A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x < 2 or as -1 < x < 2.A compound inequality contains at least two inequalities that are separated by either "and" or "or". ... A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x < 2 or as -1 < x < 2.A compound inequality contains at least two inequalities that are separated by either "and" or "or". ... A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x < 2 or as -1 < x < 2.A compound inequality contains at least two inequalities that are separated by either "and" or "or". ... A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x < 2 or as -1 < x < 2.A compound inequality contains at least two inequalities that are separated by either "and" or "or". ... A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x < 2 or as -1 < x < 2.A compound inequality contains at least two inequalities that are separated by either "and" or "or". ... A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x < 2 or as -1 < x < 2.
Answer :is that the full question
Step-by-step explanation:
Add, divide by 10, subtract 55, answer 27
Answer:
65
Step-by-step explanation:
2x = 180 - (25 +25) (angles of a triangle sum up to 180)
2x = 180 - 50
2x = 130
x = 130/2
x = 65