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Leno4ka [110]
3 years ago
10

Which concept is used to prove that the opposite sides of a parallelogram are congruent? congruent rectangles similar rectangles

congruent triangles similar triangles
Mathematics
2 answers:
kotykmax [81]3 years ago
8 0
I think it's congruent triangles
ValentinkaMS [17]3 years ago
7 0

The <em>correct answer</em> is:


Congruent triangles.


Explanation:


Consider the top and bottom sides of the parallelogram parallel lines. The diagonal of the parallelogram would be the transversal.


The diagonal splits each opposite angle into two pieces. Using the diagonal as a transversal means we have two pairs of alternate interior angles; this means each pair is congruent. This gives us two congruent angles in two triangles.


The diagonal of the parallelogram is congruent to itself. This gives us two angles and the side between them; this is the angle-side-angle, or ASA, congruence theorem. This proves that the two triangles are congruent.


Since the two triangles are congruent, the corresponding parts of each triangle would be congruent; this means the opposite sides of the parallelogram are congruent.

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sweet t has 2 orange picks for every green pick. if 6 of the picks are green, how many picks are orange
barxatty [35]
2 X 6 = 12


So, it would be 12 orange picks.
6 0
3 years ago
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Completing the square:
vichka [17]

Answer:

Step-by-step explanation:

Key to this method is remembering that

(a+b)^2 = a^2 + 2ab + b^2

So, if you divide the coefficient of x by 2 and square it, that will complete the square. With that in mind, things are easy.

6/2 = 3, so add 3^2 = 9

x^2+6x+9 = (x+3)^2

So, c=9

Similarly, for the other two,

c = (\frac{-34}{2} )^2 = (-17)^2 = 289

You don't really have to worry about the sign, since squaring will always make it positive

(\frac{25}{13}) ^2 = \frac{625}{169}

7 0
3 years ago
How do I graph x - 4y &lt; 0
Temka [501]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

x-4y < 0

isolate the variable y

-4y < -x

Divide by -4 both sides

Remember

When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

so

y > \frac{x}{4}

The solution of the inequality is the shaded area above the dashed line y=\frac{x}{4}

The slope of the dashed line is positive m=1/4

The y-intercept of the dashed line is (0,0)

The x-intercept of the dashed line is (0,0)

using a graphing tool

The graph in the attached figure

3 0
3 years ago
The side length of the cube is 5 cm. Find the volume of the cube.
lidiya [134]

Answer:

125 cm³

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Geometry</u>

Volume of a Cube Formula: V = a³

  • <em>a</em> is a side length

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>a</em> = 5 cm

<u>Step 2: Find Volume</u>

  1. Substitute in variables [Volume of a Cube Formula]:                                    V = (5 cm)³
  2. Evaluate exponents:                                                                                         V = 125 cm³
5 0
2 years ago
Read 2 more answers
A total of
gulaghasi [49]
The answer is 110 adult tickets. Let x= student tickets and y= adult tickets. 

We know that the total tickets sold was 440. That means the total number of student tickets (x) plus the total number of adult tickets (y) equaled 440. Putting it into an equation, you get:

x+y=440

Now we know that the amount of student tickets is equal to three times as many adult tickets, so in an equation that is seen as:

x=3y

In order to solve for one variable, plug in 3y for the x value of the first equation to get:

y+3y=440

then solve:

4y=440
y= 440/4
y=110

The total number of adult tickets sold was 110 tickets. 
(This method used in math is technically called "Solving Systems of Equations", just fyi).


4 0
3 years ago
Read 2 more answers
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