I need help, please. I will make you the Brainliest. 1. Identify the property that justifies the following statement. 36. Find the value of x, rounded to the nearest tenth. 38. Which statements could be used to conclude that JKLM is a parallelogram?

Mathematics · High School · Thu Feb 04 2021

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Answer: Based on the phrasing of your question, it seems like there may be three different questions here, but it's a little unclear without the surrounding context or the actual questions. So, I will answer based on the information provided:

1. Identify the property that justifies the following statement: Since the actual statement is not provided, I cannot identify the specific property for you. However, in general, when you are asked to identify a property that justifies a statement in mathematics, you might be dealing with properties like the Distributive Property, Commutative Property of Addition or Multiplication, Associative Property of Addition or Multiplication, or properties of equality like Reflexive, Symmetric, or Transitive Property.

2. 36. Find the value of x rounded to the nearest tenth: Without the actual equation or expression involving x, I'm unable to solve for x or round it to the nearest tenth. Please provide the equation or the expression to proceed with this question.

3. 38. Which statements could you use to conclude that JKLM is a parallelogram? To conclude that a quadrilateral JKLM is a parallelogram, you need to show that it satisfies the properties of a parallelogram. For example: Both pairs of opposite sides are parallel (JL || KM and JK || LM). - Both pairs of opposite sides are equal in length (JL = KM and JK = LM). - Both pairs of opposite angles are equal (angle J = angle M and angle K = angle L). - The diagonals bisect each other (JO = OM and KO = OL, if O is the intersection point of the diagonals). One pair of opposite sides is parallel and equal in length.

Extra: Let's talk a bit more about each of the points mentioned:

1. Properties of operations: - Commutative Property: This property signifies that the order in which two numbers are added or multiplied does not change the result (a + b = b + a, ab = ba). - Associative Property: This shows that how you group numbers in addition or multiplication does not change the result ((a + b) + c = a + (b + c), (ab)c = a(bc)). - Distributive Property: This is used to multiply a single term and two or more terms inside a set of parentheses a(b + c) = ab + ac.

2. Rounding and calculating : - When rounding a number to the nearest tenth, you look at the hundredths place (one place after the decimal). If this number is 5 or higher, you round up the tenth place by one. If it's 4 or lower, the tenths place remains the same.

3. Properties of parallelograms: - In addition to the properties already mentioned, it's also true that if one angle in a quadrilateral is supplementary to both its consecutive angles, then the quadrilateral is a parallelogram. - Also, if the diagonals of a quadrilateral bisect each other, then it is a parallelogram. This is a very useful property because it only requires measuring the lengths of the diagonals' segments. Understanding and applying these properties can allow you to classify various quadrilaterals and solve many geometry problems involving parallelograms.