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ycow [4]
3 years ago
11

Prove: Quadrilateral ABCD is a parallelogram.

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
6 0

Answer:

Step 3.

m∠ AEB = m∠ CED .........By  Vertical Angles Theorem.

Step-by-step explanation:

Vertical Angles Theorem:

Vertical angle theorem states that vertical angles, angles that are opposite each other and formed by two intersecting lines,are congruent.

If two lines intersect each other we have two pair of vertical opposite angles. As shown in the figure.

Here,

∠ 1 and ∠ 2 are vertical opposite angles and also they are equal.

∠ 3 and ∠ 4 are also vertical opposite angles and also they are equal.

For,

step 3. m∠ AEB = m∠ CED

Therefore, the reason for step 3 of this proof is Vertical Angles Theorem.

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Find the length of EF
Lisa [10]

Answer:

9

Step-by-step explanation:

1. First, we need to set up an equation to find the value of x and then the length of EF.

2. We know that DG is equal to 33, so we can add all the three sections it's cut into altogether to get 33. Therefore, we get an equation of: 3x - 28 + 3x - 30 + x = 33

3. (Solving for x)

Step 1: Simplify both sides of the equation.

  • 3x - 28 + 3x - 30 + x = 33
  • (3x+3x+x) + (-28-30)=33
  • 7x - 58 = 33

Step 2: Add 58 to both sides.

  • 7x - 58 + 58 = 33 + 58
  • 7x = 91

Step 3: Divide both sides by 7.

  • \frac{7x}{7} = \frac{91}{7}
  • x = 13

4. Now that we know x is equal to 13, we can plug that value in for the expression 3x - 30.

  • 3(13)-30
  • 39 - 30
  • 9

Therefore, the length of EF is 9.

7 0
3 years ago
if a sprinkler waters 1/14 of a lawn in 1/2 an hour, how much time it will take to water the entire lawn
arlik [135]
1/14 in 30 mins
30 mins x 14=420 mins
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3 0
2 years ago
Which of the following coordinates are not correctly named based on the image?
timama [110]

Answer:

Hi, there the answer is (4,2)

Step-by-step explanation:

The reason is that 4 is the y-axis and 2 is the x-axis and

the rule is x is first then y

The correct format for writing this it is supposed to be (2,4).

Therefore, your answer will (4,2)

3 0
2 years ago
Match the term with the definition.
maria [59]
1- Line:
A line is a one dimensional figure that is formed by joining an infinite set of points.
It has no start and no end.
Answer:
Line ..............> A) infinite number of points extending in opposite directions that has only one dimension

2- Line segment:
It is the same as the line. The only difference is that a line segment has a fixed start point and a fixed end point. It is considered to be a portion of a line
Answer:
Line segment .........> D) a part of a line that has two endpoints

3- Ray:
A ray is also a one dimensional shape. A ray usually has a start point but no end point.
Answer:
Ray .........> B) part of a line that has one endpoint and continues in one direction infinitely

4- Point:
A point is a dimensionless geometric shape. It is only used to state a certain location.
Answer:
Point .........> C) a location, has no dimension

5- Vertex:
A vertex is a term that is used to refer to the point where the two rays forming an angle meet.
Answer:
Vertex ........> E) the common endpoint of two segments or rays that form the corner of an angle

Hope this helps :)
4 0
2 years ago
Which of the following describes a rate?
malfutka [58]

Answer:

All of them

Step-by-step explanation:

8 0
3 years ago
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