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Mkey [24]
4 years ago
6

Determine which characteristics are true of vertical angles.

Mathematics
1 answer:
Hoochie [10]4 years ago
4 0

Answer:

First option: Yes.

Second option: Yes.

Third option: No.

Fourth option: Yes.

Step-by-step explanation:

By definition, vertical angles are formed when two lines intersect.

They share a common vertex and they are non-adjacents angles (adjacent angles are those  have a common side and a common vertex. They are supplementary, which means that their sum is 180°); therefore they are opposite to each other.

Vertical angles are congruent, which means that they have equal measure.

The sum of the two pairs of vertical angles formed by the intersection of the lines, is 360°.

 Observe the intersecting lines"A" and "B" in the picture attached. Notice that four angles are formed.

Based on the characteristics of vertical angles, we can conclude that:

\angle1 and \angle3 are vertical angles.

\angle2 and \angle4 are vertical angles.

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How many solutions do the TWO equations have?
Nadya [2.5K]

Answer:

Below.

Step-by-step explanation:

15y + 12x = 18

5y + 4x = 6

The  second equations is the first times 3 so they are basically the same.

Infinite Solutions.

2x+ 3y= 12

-6y= 4x-24          Rearranging the second equation:

-4x - 6y = -24      Multiplying the first equation by 2:

4x + 6y = 24      

- we see that the last equation is -1 * previous equation.

So there are infinite solutions.

7 0
3 years ago
adult tickets to a movie cost $12 while children tickets cost $5. if a total of 500 tickets were sold and if $3550 was collected
svp [43]
The answer to the question

5 0
4 years ago
21. Carrie withdraws $10 from her account each day for 7 days.
Fiesta28 [93]

Answer:

a.70. b.50

Step-by-step explanation:

  • If Cartie takes $10 from her account for 7 days she would have taken $70 out.

7 \times 10 = 70

  • Next we look at the net problem it is asking us how much is left we already know from the equation above that we need to subtract 70 from 120
  • 70 - 120 = 50
  • We now have both answers A. being that she would have taken $70 in total out of her account and B. being that she would have $50 left in her account.
3 0
3 years ago
Can someone answer this
Nady [450]

Answer:

the third one from the top

Step-by-step explanation:

3 0
3 years ago
Pls help 4 100 points in geometry i will giv brainliest
dmitriy555 [2]

Answer:

a = 35

c = 85

Step-by-step explanation:

85 + 60 + a = 180 as they are all supplementary angles (together they form an angle of 180°)

therefore a = 35.

a + ( 180 -(a+85)) + c =180 (as the angles of a triangle add up to 180°. our triangle is NMT, the angles are a, c and 180°-(a+85°) for a theorem about lines secant to parallel lines)

therefore c = 85

7 0
2 years ago
Read 2 more answers
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