7 centimeters is a possible length for the third side ⇒ B
Step-by-step explanation:
Let us revise the triangle Inequality Theorem
- The sum of the lengths of any 2 sides of a triangle must be greater than the length of the third side
- To prove that by easy way add the smallest two sides, if their sum greater than the third side,then the sides can form a triangle
Assume that the length of the third side is x cm
∵ The length of two sides are 7 cm and 10 cm
∵ The length of the third side is x cm
- Put the sum of x and 7 greater than 10 ( x and 7 are the smallest sides)
∴ x + 7 > 10
- Subtract 7 from both sides
∴ x > 3
- Put the sum of 7 and 10 greater than x (7 and 10 are the smallest sides)
∵ 7 + 10 > x
∴ 17 > x
∴ x < 17
- By using one inequality for x (combined the two inequalities in one)
∴ 3 < x < 17
That means the length of the third side is any number between 3 and 17
There is only one answer between 3 and 17
∵ 7 is between 3 and 17
∴ The length of the third side could be 7 cm
7 centimeters is a possible length for the third side
Learn more:
You can learn more about triangles in brainly.com/question/4599754
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The last step in a proof contains the conclusion
Answer:
The measures of two angles have a sum of 90º if and only if the angles are complements. Hope this help
Step-by-step explanation:
Answer:
· Use properties of equality together to isolate variables and solve algebraic equations.
· Use the properties of equality and the distributive property to solve equations containing parentheses, fractions, and/or decimals.
Introduction
There are some equations that you can solve in your head quickly. For example – what is the value of y in the equation 2y = 6? Chances are you didn’t need to get out a pencil and paper to calculate that y = 3. You only needed to do one thing to get the answer, divide 6 by 2.
Other equations are more complicated. Solving without writing anything down is difficult! That’s because this equation contains not just a variable but also fractions and terms inside parentheses. This is a multi-step equation, one that takes several steps to solve. Although multi-step equations take more time and more operations, they can still be simplified and solved by applying basic algebraic rules.
Using Properties of Equalities
Remember that you can think of an equation as a balance scale, with the goal being to rewrite the equation so that it is easier to solve but still balanced. The addition property of equality and the multiplication property of equality explain how you can keep the scale, or the equation, balanced. Whenever you perform an operation to one side of the equation, if you perform the same exact operation to the other side, you’ll keep both sides of the equation equal.
If the equation is in the form, ax + b = c, where x is the variable, you can solve the equation as before. First “undo” the addition and subtraction, and then “undo” the multiplication and division.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
5t < -15 (divide by 5 on each side)
t < -3
