![karyvillanuevap5w9ym](/avatars/16657.jpg)
karyvillanuevap5w9ym
15.12.2019 •
Mathematics
Which statements prove that a quadrilateral is a parallelogram? select each answer
Solved
Show answers
More tips
- C Computers and Internet Step-by-Step Guide on How to Download Music to Your iPhone...
- A Animals and plants Unraveling the Mystery of Loch Ness: What Does the Loch Ness Monster Look Like?...
- L Leisure and Entertainment Should You Buy a Ceramic Knife?...
- C Computers and Internet How to easily and quickly disable Firebug in Gmail and Google Docs...
- G Goods and services How to sew a ribbon: Tips for beginners...
- F Food and Cooking How to Make Mayonnaise at Home? Secrets of Homemade Mayonnaise...
- C Computers and Internet Which Phone is Best for Internet Surfing?...
- F Food and Cooking Everything You Need to Know About Pasta...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
Answers on questions: Mathematics
- M Mathematics Kara’s fence needs to reach at least 93 feet. How many fence posts will she need?...
- M Mathematics G(4,8) and H(9,-2). Find the length of GH. Leg a = Leg b = Pythagoras Theorem: GH =...
- M Mathematics What is the graph for the transforming function y=−(−x) 2...
- B Business Anna needs to reference a cell on another worksheet in her workbook. What is the correct syntax for this operation? =SUM(F2:F5,Sheet2A10) =SUM(F2:F5,Sheet2!A10) =SUM(F2:F5,!Sheet2A10)...
- M Mathematics Karyn purchased a square picture frame. each side measures 1 1/4 feet. what is the area of the picture frame in square feet?...
- H History Why did the colonist react so much to the stamp act than the sugar act?...
- B Business Diane s Designs has two classes of stock authorized: 8%, $10 par value preferred and $1 par value common. As of January 1, 2021, the following accounts had the following balances:...
- M Mathematics What best describes movement of particles in a solid...
Ответ:
Let's explain each option:
1. FalseA parallelogram is a quadrilateral where both pairs of opposite sides are parallel. On the other hand, the angles of every quadrilateral always add up to 360 degrees. Quadrilateral DEFG is shown in Figure 1 and the options tells us:
Quadrilateral DEFG has two sets of consecutive angles that are complementary.
So this is false because two angles are complementary if and only if they add up to 90°. If we take two consecutive angles, namely, angles d and e, they aren't complementary but supplementary for they add up to 180 degrees.
2. FalseThe statements tells us:
Quadrilateral DEFG has diagonals that are congruent
From the figure 1, the diagonals are the lines in blue and red. The diagonals in every parallelogram bisect each other but that doesn't mean it has to have the same length. This is only true if the parallelogram is a rectangle. Thus, if a parallelogram's diagonals have the same length, then it's definitely a rectangle.
3. TrueThe statements tells us:
Quadrilateral DEFG has opposite angles that are congruent
Opposite angles in parallelogram are always congruent. This can be prove by looking at Figure 2. Let's name a an angle of the parallelogram. So angle a and b are alternate interior angles, therefore a = b. So the supplementary angle to b is 180° - b or 180° - a. Also, b is corresponding to c, hence they are the same and a = b = c. Finally, opposite angles in parallelogram are always congruent.
4. TrueThe statements tells us:
Quadrilateral DEFG has one set of opposite sides that are both congruent and parallels
The definition of parallelograms tells us that a parallelogram is a quadrilateral where both pairs of opposite sides are parallel. Therefore, the second part of the statement is true. On the other hand, opposite sides in parallelograms are always congruent. So the entire statement is true.
Ответ:
z-score = 0.741
Step-by-step explanation:
The provided information are:
Population mean
= 103
Population standard deviation
= 2.7
Score (X) = 105
The formula to calculate the z-score is:
The z- score can be calculated as:
Hence, the z-score is 0.741.