Answer:
Given: It is given that and .
To Prove: ABCD is a parallelogram.
Statements
1. and
Reason: Given
2. are alternate interior angles
Reason: Def of alternate interior angles
3.
Reason: Alternate interior angles are congruent
4.
Reason: Reflexive property
5.
Reason: SAS congruency theorem
6.
Reason: Corresponding Parts of Congruent triangles are Congruent (CPCTC)
7. ABCD is a parallelogram
Reason: Parallelogram Side Theorem
Step-by-step explanation:
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Using the number line, the numbers that are 9 units from -5 are: -14 and 4.
<h3>How to Locate a Number on a Number line?</h3>
To find two numbers that cover the same units from a given point on a number line, we can simply do the following:
- Count the number of units given backwards/to the left from the point stated to get the first number.
- Count the number of units given forwards/to the right from the point stated to get the second number.
Thus, we are asked to find the numbers that would be 9 units from -5, using the number line.
Count 9 units backwards/to the left from -5 to get the first number, which is: -14
Count 9 units forwards/to the right from the -5 to get the second number, which is: 4.
Therefore, the numbers that are 9 units from -5 on the number line, are: -14 and 4.
Learn more about number line on:
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Answer:
x = 9
Step-by-step explanation:
We are going to isolate x
14 - x = 5
subtract 14 from 5
-x = -9
multiply both sides by -1 to make x positive
x = 9
