What is the Converse of the Pythagorean Theorem? The theorem states that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle
Answer:
x = 4
Step-by-step explanation:
The steps we need to take:
1. Simplify left side.
2. Separate the variable and its coefficient from constants
3. Divide both sides by the coefficient to find "x
1) Simplify left side.
5(3x - 4) + 12 = 52
15x - 20 + 12 = 52
15x - 8 = 52
2) Separate the variable and its coefficient from constants by adding 8 to both sides.
15x - 8 + 8 = 52 + 8
15x = 60
3) Divide both sides by the coefficient to find x. (the coefficient is the number that comes before the variable)
15x / 15 = 60 / 15
x = 4
9514 1404 393
Answer:
72
Step-by-step explanation:
Enter the expression into your calculator.
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If you're doing this by hand, follow the Order of Operations. The expression is the difference of a quotient and a product. The quotient is on the left, so it is figured first.
252÷3 = 84
The product is figured next.
3(4)(1) = 12(1) = 12
Then the difference is figured:
84 -12 = 72
The simplified result is 72.
Answer:
-3x - 30
Step-by-step explanation:
Distribute (multiply) the -3 to everything in the parentheses.
-3 (x + 10)
-3 * x = -3x -3 * 10 = -30
Answer: -3x - 30
Due to the fact that one outside angle of a triangle is equal to the sum of its other two angles, all of its angles add up to 180 degrees.
In other words, the third angle must be added to the other two angles in the triangle (the ones that add up to generate the outer angle) to form a 180-degree angle.
How do you determine if a triangle's angles are 180 degrees?
How Can I Determine a 180 Degree Angle?
- Create a straight line to represent the angle's arm.
- At one end of the line, place a dot.
- Now position the protractor's center above the dot or vertex and line up the protractor's baseline with the angle's arm.
- Put a dot where the angle is 180 degrees.
To learn more about Angles refer to:
brainly.com/question/25716982
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