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bija089 [108]
2 years ago
10

The sum of the interior angles of a quadrilateral ___ the sum of its exterior angles. Select one: a. > b. < c. equals

Mathematics
1 answer:
viktelen [127]2 years ago
6 0

Answer:

The sum of the interior angles of a quadrilateral <u>equals</u><u> </u> the sum of its exterior angles.

Step-by-step explanation:

The sum of the exterior angles of a quadrilateral is 360 degrees.

The sum of the interior angles = (n-2)*180

Here n = 4, the number of sides.

Quadrilateral has 4 sides.

The sum of the interior angles = (4 - 2)*180

= 2*180

= 360 degrees.

Therefore, the sum of the interior angles of a quadrilateral <u>equals </u> the sum of its exterior angles.

Hope this will helpful.

Thank you.

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All sides of quadrilateral ABCD ABCD A, B, C, D are tangent to circle PPP. What is the perimeter of the quadrilateral below?
noname [10]

Answer:

The answer is below

Step-by-step explanation:

A tangent is a line which touches a circle at one point. The angle between a tangent and a circle is 90°.

The two tangent theorem states that tangent that meet at the same point are equal in length.

Therefore:

CD = c + d

but c = 5.1, hence:

CD = 5.1 + d

12.1 = 5.1 + d

d = 7

AD = a + d; but AD = 12.2, d = 7

12.2 = a + 7

a = 5.2

AB = a + b; but b = 3.3

AB = 5.2 + 3.3 = 8.5

BC = b + c = 3.3 + 5.1 = 8.4

Perimeter of ABCD = AB + BC + CD + AD = 8.5 + 8.4 + 12.1 + 12.2 = 41.2

4 0
2 years ago
Write an equation of the line that passes through each pair of points. (5,-4) and (-3,0)
PtichkaEL [24]

Answer:

y=1/2x+3/2

Step-by-step explanation:

use the slope formula m=y2-y1/x2-x1 and get the slope. then plug in one set of points for y and x for (b)

6 0
2 years ago
What are the coordinates of the point is 1/4 of the way from A (-6, -3) to B (6, 1)?
Amiraneli [1.4K]

Answer:

(-3, -2)

Step-by-step explanation:

To find the coordinates of the point is 1/4 of the way from A (-6, -3) to B (6, 1), we are going to be using the midpoint formula, which states that:

The midpoint is at (\frac{x_{1} +x_{2} }{2}, \frac{y_{1} +y_{2} }{2}). Where:

(x_{1}, x_{2}) = (-6, 6)

(y_{1}, y_{2}) = (-3, 1)

Then, the midpoint is at:

(\frac{-6 +6 }{2}, \frac{-3+1}{2}) = (0, -1)

Now, to find the coordinates of the point that is 1/4 of the way, we are going to calculate the midpoint between the point 'A' and the midpoint previously caculated, as follows:

(x_{1}, x_{2}) = (-6, 0)

(y_{1}, y_{2}) = (-3, -1)

⇒ (\frac{-6 +0}{2}, \frac{-3-1}{2}) = (-3, -2)

Therefore, the point is 1/4 of the way from A to B is:  (-3, -2)

8 0
3 years ago
Please give me set of 6 elements with a mode of 5 and a median of 12 :)
barxatty [35]

Step-by-step explanation:

5, 5, 8, 16, 17, 18

the mode = 5

the median = (8+16)/2 = 24/2 = 12

6 0
2 years ago
Read 2 more answers
What is the possibility that a red or green marble will be selected from a bag containing 9 red marbles, 6 blue marbles , 7 gree
marusya05 [52]

Answer:

16/33

Step-by-step explanation:

We have a bag of :

9 red marbles

6 blue marbles

7 green marbles

11 yellow marbles

Total number of marbles = 33 marbles.

The possibility that a red or green marble will be selected from a bag

P( Red or Green) = P(Red) + P(Green)

In the question we are not told if it is with replacement or without. We do both

With replacement

P( R or G) = P(Red) + P(Green)

P(Red)= 9/33

P(Green) = 7/33

= 9/33 + 7/33

= 16/33

Therefore, the possibility that a red or green marble will be selected from a bag is 16/33

8 0
2 years ago
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