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IRINA_888 [86]
3 years ago
5

What value of x and y will make the polygon a parallelogram?

Mathematics
1 answer:
o-na [289]3 years ago
5 0
In a parallelogram, the diagonals bisect each other.
That being the case,
6x = 72

x = 12

AND

x-5 = y
72 -5 = 67

y=67
x = 72

and the diagonals measure
144 and 134
 

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Use always, sometimes or never to make a true statement:
viva [34]

Answer:

1. Intersecting lines are <u>always</u> coplanar

2. Two planes <u>never</u> intersect in exactly one point

3. Three points are <u>always</u> coplanar

4. A plane containing two points of a line <u>always</u> contains the entire line

5. Four points are <u>sometimes</u> coplanar

6. Two lines <u>never</u> meet in more than one point.

7. Two skew lines are <u>never</u> coplanar

8. Line TQ and Line QT are <u>always</u> the same line.

Step-by-step explanation:

Note: Coplanar means "In the same plane"

1. Each line exist in many planes. But different lines must share at least one plane for them to intersect. That is why intersecting lines are always coplanar.

2. Two planes never intersect at exactly one point because only lines intersect at a point. Planes can only intersect along a line.

3.Three points are always coplanar because in geometry, a group of points are coplanar because there is a geometric plane that they all lie on.

4. A plane containing two points of a line always contains the entire line. Yes

5. Four points are only sometimes coplanar because there is a probability that they may all not lie on the same plane

6. Two lines never meet in more than one point because lines are basically straight and cannot bend over to intersect at another point

7. Two skew lines are never coplanar because skews lines are lines that do not intersect and are never parallel.

8. Line TQ and Line QT are always the same line because a line is straight and extends from one point to the other. So, if a line is labelled TQ calling it QT means the same thing

4 0
3 years ago
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ch4aika [34]

Answer:

Step 3, because the solution should also include all the values for x between the two given values

Step-by-step explanation:

step 1

we have

y_1=\left|x-4\right|

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step 2

The graph in the given problem

step 3

Identify the solution when y1\leq y2

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\left|x-4\right|\le1

using a graphing tool

The solution is the interval  -----> [3,5]

see the attached figure

All real numbers greater than or equal to 3 and less than or equal to 5

therefore

The first step in which the student made an error is step 3

6 0
4 years ago
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Answer:

x ≥ 2

Step-by-step explanation:

The dot is shaded on the point positive 2 and the arrow is going right so its x ≥ 2.

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Theresa and her brother, Ruben, are getting phones that each have 32 gigabytes of storage. How many bits of storage come with ea
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32000000000 bytes are in 32 gigabytes.

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