1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alika [10]
3 years ago
9

What is the Quadrilateral Sum Theorem?

Mathematics
1 answer:
MrRissso [65]3 years ago
3 0
The sum<span> of the measures of the interior angles of any </span>quadrilateral<span> can be found by breaking the </span>quadrilateral<span> into two triangles. Since the measure of the interior angles of any triangle equals 180 degrees, each of the two triangles will contribute 180 degrees to the total for the </span>quadrilateral<span>.</span>
You might be interested in
What is 5x^2-7x-3=8 by solving using a graph???
Alinara [238K]
Hello!

Simplifying
5x2 + -7x + -3 = 8

Reorder the terms:
-3 + -7x + 5x2 = 8

Solving
-3 + -7x + 5x2 = 8

Solving for variable 'x'.

Reorder the terms:
-3 + -8 + -7x + 5x2 = 8 + -8

Combine like terms: -3 + -8 = -11
-11 + -7x + 5x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-11 + -7x + 5x2 = 0

Begin completing the square. Divide all terms by
5 the coefficient of the squared term:

Divide each side by '5'.
-2.2 + -1.4x + x2 = 0

Move the constant term to the right:

Add '2.2' to each side of the equation.
-2.2 + -1.4x + 2.2 + x2 = 0 + 2.2

Reorder the terms:
-2.2 + 2.2 + -1.4x + x2 = 0 + 2.2

Combine like terms: -2.2 + 2.2 = 0.0
0.0 + -1.4x + x2 = 0 + 2.2
-1.4x + x2 = 0 + 2.2

Combine like terms: 0 + 2.2 = 2.2
-1.4x + x2 = 2.2

The x term is -1.4x. Take half its coefficient (-0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
-1.4x + 0.49 + x2 = 2.2 + 0.49

Reorder the terms:
0.49 + -1.4x + x2 = 2.2 + 0.49

Combine like terms: 2.2 + 0.49 = 2.69
0.49 + -1.4x + x2 = 2.69

Factor a perfect square on the left side:
(x + -0.7)(x + -0.7) = 2.69

Calculate the square root of the right side: 1.640121947

Break this problem into two subproblems by setting
(x + -0.7) equal to 1.640121947 and -1.640121947.

Subproblem 1
x + -0.7 = 1.640121947

Simplifying
x + -0.7 = 1.640121947

Reorder the terms:
-0.7 + x = 1.640121947

Solving
-0.7 + x = 1.640121947

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.7' to each side of the equation.
-0.7 + 0.7 + x = 1.640121947 + 0.7

Combine like terms: -0.7 + 0.7 = 0.0
0.0 + x = 1.640121947 + 0.7
x = 1.640121947 + 0.7

Combine like terms: 1.640121947 + 0.7 = 2.340121947
x = 2.340121947

Simplifying
x = 2.340121947

Subproblem 2
x + -0.7 = -1.640121947

Simplifying
x + -0.7 = -1.640121947

Reorder the terms:
-0.7 + x = -1.640121947

Solving
-0.7 + x = -1.640121947

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.7' to each side of the equation.
-0.7 + 0.7 + x = -1.640121947 + 0.7

Combine like terms: -0.7 + 0.7 = 0.0
0.0 + x = -1.640121947 + 0.7
x = -1.640121947 + 0.7

Combine like terms: -1.640121947 + 0.7 = -0.940121947
x = -0.940121947

Simplifying
x = -0.940121947

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.340121947, -0.940121947}
3 0
3 years ago
What is the measure of &lt;2?
SSSSS [86.1K]

Answer:

The answer is 142 degrees

Step-by-step explanation:

The two angles are corresponding, making them equal

8 0
3 years ago
Can someone pwease help mwe wit dis?
Talja [164]

Step-by-step explanation:

4 * 7 = 28

28 - 12 = 16

4 0
3 years ago
Read 2 more answers
Jerry is going to paint a circle in his living room. If the radius is 8 inches, what is the area that Jerry needs to cover with
adelina 88 [10]

Answer:201.06

Step-by-step explanation:

4 0
3 years ago
Help me please<br> thx so much<br> have a good one
Alona [7]

Answer:

The answer is the last one

Step-by-step explanation:

Hope this helps

7 0
3 years ago
Other questions:
  • a car travels at 54 km/h for first 20seconds , 36km/h for next 30seconds and finally 18km/h for next 10 seconds find the averade
    6·1 answer
  • The area if the of a circle is 111.6 square centimeters. What is the diameter?
    13·2 answers
  • Cindy decided to grow her own roses. One rose bush cost $20 and produced 10 Roses. Since Cindy paid $10 for 10 Rose's the year b
    7·2 answers
  • Susan is looking into a new cell phone carrier. She researches her options and finds the two companies which off the best recept
    11·1 answer
  • Write a simplified polynomial expression in standard form to represent the area of the rectangle below. (2 points) A picture of
    11·2 answers
  • Quadrilateral A^ prime B^ prime C^ prime D^ prime is the image of quadrilateral ABCD under a rotation about point Q
    9·1 answer
  • What does x and y equal
    5·2 answers
  • Structural and functional unit of life is what?​
    15·2 answers
  • Help me with this problem​
    9·2 answers
  • Which trig ratio<br> determine which trig ratio to use to solve for x
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!