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Scorpion4ik [409]
3 years ago
6

Which of the following statements is true? A. Vertical angles are always complementary. B. Vertical angles are always supplement

ary. C. Vertical angles are always equal in measure. D. Vertical angles sometimes have different measures.
Mathematics
2 answers:
denpristay [2]3 years ago
5 0
Vertical angles always equal in measure
Savatey [412]3 years ago
4 0

The correct statement about vertical angles is that they are always equal in measure. This also implies they are congruent. Therefore, the correct answer is C.

For example, if a vertical angle measures 140 degrees, it means the other angle will also measure 140 degrees.

<h2>Further Explanation</h2>

Vertical angles are always equal in measure, they are very special angle and they are congruent to one another.

Vertical angles are non-adjacent angles and they are formed when 2 lines intersect. In vertical angles, all the pairs of the angles are opposite each other.

The angles that opposite another are called supplementary and their sum in total is 180 degrees.

However, there are four different types of angles and these include

  1. Vertical angle
  2. Complementary angle
  3. Supplementary angle
  4. Adjacent angle

Complementary angle: they are 2 angles that measure 90 degrees, that is they form a right angle

Supplementary angle: they are 2 angles that measure 180 degree

Adjacent angle: they are 2 angles that have common vertex (corner point) and a common side. Also, adjacent angles don’t overlap. When 2 angles have a corner point and a common side, it implies that the 2 angles shared the vertex point and the side.

Therefore, the correct statement about vertical angles is that they are always equal in measure (they are congruent)

LEARN MORE:

  • Which of the following statements is true?  brainly.com/question/10236745
  • Which of the following statements is true? brainly.com/question/1043940

KEYWORDS:

  • congruent
  • vertical angles
  • supplementary angles
  • different measures
  • complementary angles
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stepan [7]
If you're working with complex numbers, then I'm sure you're comfortable with plotting them on a complex-plane ... real part of the number along the x-axis, and imaginary part of the number along the y-axis.

When you look at it that way, your two points are simply two points on the x-y plane:

           4 - i    ===>  (4, -1)

         -2 + 3i  ===>  (-2, 3) .

The distance between them is

                       D  =  √ (difference in 'x')² + (difference in 'y')²

                           =  √  (6)² + (4)²

                           =  √ (36 + 16)

                           =   √ (52)

                           =      7.211  (rounded)   
4 0
3 years ago
What is a simplified fraction of -4/17?​
Zarrin [17]
I think there is no simplified fractions for this number it will be the same -4/17
4 0
3 years ago
Please help, please
Kisachek [45]

Answer:

Total amount of fencing needed as an algebraic expression in terms of x is: <em>10x</em><em> </em><em>+</em><em> </em><em>3</em> .

Step-by-step explanation:

As it is given that each rectangle has the same dimensions, the dimensions of each rectangle must be: x units by 2x + 1 units.

Based on this, we can calculate the total amount of fencing needed.

Let width of each rectangle = x

Let length of each rectangle = 2x + 1

There are 4 widths and 3 lengths in total of fencing.

Therefore:

= 4 ( x ) + 3 ( 2x + 1 )

Expand:

= 4x + 6x + 3

Group like-terms:

= 10x + 3

7 0
3 years ago
Solve for x <br> This is also an octagon if it helps!
Karo-lina-s [1.5K]

Answer:

x = 10

Step-by-step explanation:

it has 8 sides so:

total interior angle degrees = (180° x 8 sides) - 360° = 1080°

11x + 14 + 4x + 87 +2x + 70 + 4x + 31 + x + 92 + 3x + 167 + 5x + 48 + 2x + 251 = 1080°

combine like terms:

32x + 760° = 1080°

subtract 760° from both sides of the equation:

32x = 320°

divide both sides by 32:

x = 10

8 0
3 years ago
Use the law of cosines to write an expression equivalent to b
andrezito [222]

Given:

A triangle ABC.

The given expression for b is:

b=\sqrt{m+n-pq}

To find:

The expression that is equivalent to b.

Solution:

According to the Law of Cosines,

b^2=a^2+c^2-2ac\cos B

It can be written as:

b=\sqrt{a^2+c^2-2ac\cos B}              ...(i)

We have,

b=\sqrt{m+n-pq}                                ...(ii)

On comparing (i) and (ii), we get

m=a^2

n=c^2

p=2ac

q=\cos B

Therefore, the required values are m=a^2,n=c^2,p=2ac,q=\cos B.

3 0
3 years ago
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