How do you prove a parallelogram using these 2 triangles, somebody needs to explain this to me?

How Do You Prove A Parallelogram Using These 2 Triangles, Somebody Needs To Explain This To Me?

Answers

Answer 1

RQP=ONP

Since R is the midpoint of MQ, then MR and RQ are equal.

Since R is the midpoint of MQ, then P must be the midpoint of NQ

The triangles are congruent and the trapezoid is three or those triangles.

RQR reflected is a triangle inside the trapezoid. The triangles at the left and right of the trapezoid are congruent.

Since all the triangles are the exact same, then they have the same height and same length.

So you connect them without like sliding a triangle up a little bit.

The 4 congruent triangles add up to be a parallelogram.

I don't know if this is what you learned in class or where ever you did learn it but this is my way (not where-I-learned-it-from's way).


Related Questions

Here are the shopping times in minutes) of a sample of 19 shoppers at a local grocery store.
45, 22, 34, 30, 28, 27, 33, 35, 40, 26, 41, 29, 42, 44, 25, 46, 32, 38, 36
Draw the histogram for these data.
Frequency
Х
6
?
6-
5-
4
3
0
0
0
0
0
0-
22-26
37-41
42-46
27-31 32-36
Times (in minutes)

Answers

Answer:

22-26: frequency = 3

27-31: frequency = 4

32-36: frequency = 5

37-41: frequency = 3

42-46: frequency = 4

five sixths of a number equals 200. What is the number?

Answers

Answer: 240

Step-by-step explanation:

5/6x=200

(6/5)5/6x=200(6/5)

1x=40(6/1)

x=40(6)

x=240

please help me immediately ​

Answers

Step-by-step explanation:

[tex]diameter \: = \sqrt{ { 24}^{2} + {7}^{2} } = 25 [/tex]

[tex]shaded \: area \: = circle - tringle[/tex]

[tex]shaded \: area = ( \frac{\pi}{4} \times {25}^{2} ) - ( \frac{1}{2} \times 7 \times 24)[/tex]

[tex]shaded \: area \: = (490.6) - (84) = 406.6 \: = 407 \: {cm}^{2} [/tex]

Jackson is attending a lacrosse game that is halfway through the first quarter.
4) What fractional part of the game is leh?
3) If 74 minutes of playing time have past, how many total minutes of playing
time are there in the game?
6) How many minutes of playing time are left in the game?
(okay so I have to draw the picture so someone please help meh :p)

Answers

Answer:

7/8 of the game is left. The game lasts for 592 minutes.

Step-by-step explanation:

It is halfway through the first quarter so it is 1/8. So that's 7/8 part of the game left. if 74 minutes of playing time has past, then you do 74*8 so that's 592 minutes.

Answer:

4) 1/8

3)74x8=592

6)592-74= 518

Step-by-step explanation:

For the following right triangle, find the side length x, Round your answer to the nearest hundredth.

Answers

Answer:
15.59

Explanation:

Use the Pythagorean Theorem

a^2+b^2=c^2
9^2+b^2=18^2
81+b^2=324
Subtract 81 from both sides
b^2=243
Square root 243= 15.59

Answer:

x ≈ 15.59

Step-by-step explanation:

We need to use the Pythagorean Theorem to solve for x. The equation for that is a^2 + b^2 = c^2. Side a is 9. Side b is x. Side c is 18 and 18 is also the hypotenuse. Let's solve for x(side b):

a^2 + b^2 = c^2

9^2 + x^2 = 18^2

81 + x^2 = 324

Subtract 81 from both sides to get x^2 alone on one side.

x^2 = 243

Square root both sides to isolate x.

x = 9sqrt3)

x ≈ 15.59

f(x) = 3x + 21; solve for f(3) and f(7)

Answers

Answer:

Step-by-step explanation:

Given that f(x) = 3x + 21

Plug in 3 for x

F(3)= 3(3) +21

F(3) = 9+21

f(3) = 30

Plug in 7 for x

F(7)= 3(7) +21

F(7) = 21+21

f(7) = 42

Which of the following geometric series converges?

Answers

All three series converge, so the answer is D.

The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.

Consider a geometric sequence with the first term a and common ratio |r| < 1. Then the n-th partial sum (the sum of the first n terms) of the sequence is

[tex]S_n=a+ar+ar^2+\cdots+ar^{n-2}+ar^{n-1}[/tex]

Multiply both sides by r :

[tex]rS_n=ar+ar^2+ar^3+\cdots+ar^{n-1}+ar^n[/tex]

Subtract the latter sum from the first, which eliminates all but the first and last terms:

[tex]S_n-rS_n=a-ar^n[/tex]

Solve for [tex]S_n[/tex]:

[tex](1-r)S_n=a(1-r^n)\implies S_n=\dfrac a{1-r}-\dfrac{ar^n}{1-r}[/tex]

Then as gets arbitrarily large, the term [tex]r^n[/tex] will converge to 0, leaving us with

[tex]S=\displaystyle\lim_{n\to\infty}S_n=\frac a{1-r}[/tex]

So the given series converge to

(I) -243/(1 + 1/9) = -2187/10

(II) -1.1/(1 + 1/10) = -1

(III) 27/(1 + 1/3) = 18

How can you decompose the composite figure to determine its area?

Answers

Answer:Área y perímetro de figuras compuestas

por Luz | Dic 5, 2014 | Geometría, Matematicas | 39 Comentarios

Obtener el área o perímetro es de las habilidades más fáciles y básicas en geometría. Sin embargo, al momento de combinar varias figuras planas se forma figuras compuestas, que pueden incluir: cuadrados, círculos, triángulos, rectángulos, trapecio, etc.

Answer: D

Step-by-step explanation:

There’s a trapezoid a rectangle and two squares at the bottom

(SAT Prep) Find the value of x.

Answers

The three angles must add to 180. So x=180-(50+90)= 40 degrees.

Answer: 40 degrees

Step-by-step explanation:

Since the rectangle is 90 degrees and we know that the line is 180 degrees if u add 90 and 50 it becomes 140. Now u subtract from 180 to get 40 hope that helps and is a correct answer :)

HElp Find the line of symmetry for the parabola whose equation is y = 2x∧2 - 4x + 1.
x = 2
x = -1
x = 1

Answers

Answer:

x = ---------- = 1

Step-by-step explanation:

The formula for the axis of symmetry is x = -b/(2a).  In this case b = -4 and a = 2, and so the axis of symmetry is

        -(-4)

x = ---------- = 1

       2(2)

Answer:

x=1

Step-by-step explanation:

because I said so

Martin uses 8 5/8 of a gallon of paint to cover 4/5 of a wall. What is the unit rate at which Martin paints in walls per gallon?

Answers

Answer: 32/345 wall per gallon

Step-by-step explanation:

Rate is defined as ratio between two quantities with different units.

Gallons of paint used by Martin = 8 5/8 gallons = 69/8 gallons

Portion of wall Martin wishes to pint = 4/5 wall

Rate at which Martin paints the wall:

= Portion of wall covered / paint used

=

4/5 / 69/8 = 32/345 wall per gallon

Answer:

Martin paints 0.093 walls per gallon of paint

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Amount of paint used by Martin = 8 5/8 of a gallon

Ratio of wall painted by Martin with 8 5/8 of a gallon = 4/5

2. What is the unit rate at which Martin paints in walls per gallon?

Let's convert the mixed fractions to decimals this way:

8 5/8 = 8 + 0.625 = 8.625

4/5 = 0.8

Now, let's use the Direct Rule of Three, this way:

Gallons                      Walls

8.625                          0.8

x                                   1

Solving for x :

0.8x = 8.625 * 1

x = 8.625/0.8

x = 10.78125

x = 10.8 (rounding to next tenth) gallons

For painting a wall, we will use 10.8 gallons of paint. Now, we can calculate the unit rate at which Martin paints in walls per gallon, this way:

Gallons                      Walls

10.8                               1

 1                                  x

Solving for x :

10.8x = 1

x = 1/10.8

x = 0.09259

x = 0.093 (rounding to the next hundredth) walls per gallon of paint

Find the length of x.​

Answers

Answer

x = 7.5

Explanation

This is a case of similar triangles.
Similar triangles have bigger triangles which have sides which are multiples of smaller triangles sides.


We know that the adjacent side of the bigger triangle is 6 and for the smaller triangle it’s 4 so the constant factor by which the sides of the small triangle are multiplied to obtain the sides of the large triangle is

6/4 = 3/2

Since we know the hypotenuse of the smaller triangle is 5.

Multiply this by 3/2 to get the hypotenuse of the bigger triangle

3/2 • 5 = 7.5

Hope this helped

is 3 over the square root of 27 rational or irrational

Answers

Answer:

rational (I think

Step-by-step explanation:

The answer >> It’s Rational

Plz Help me solve this

Answers

Answer:

Step-by-step explanation:I think the answer is 12?

The coefficients of the first three terms in the expansion of (x – y) 4 are PLESE HELP! a) 1, –4, –6 b) 1, –4, 6 c) 1, 4, 6 d) 1, 3, 5

Answers

Answer:

the answer is C

Step-by-step explanation

I am guessing you mean (x-y)^4 and this expanded is [tex]x^4+4x^3y+6x^2y^2+4xy^3+y^4\\[/tex] and the first three coefficients are 1,4,6

The required first three coefficients of the expression (x - y)⁴ is 1, -4, 6. Option b is correct.

Given that,
To determine the coefficients of the first three terms in the expansion of (x – y)⁴.

What is the coefficient?

The coefficient is defined as the number present former to any variable is called a coefficient.

Here,
[tex]\left(x-y\right)^4=\quad x^4-4x^3y+6x^2y^2-4xy^3+y^4[/tex]
First three coefficients from the above equation,
= 1, -4 and 6

Thus, the required first three coefficients of the expression (x - y)⁴ is 1, -4, 6. Option b is correct.

Learn more about coefficients here:
https://brainly.com/question/27481600

#SPJ2

What happens when the multiplicity of a real root is odd?

Answers

Answer:

A: the graph will cross the x-axis

Answer:

A: the graph will cross the x-axis

Step-by-step explanation:

write a system of equations for the problem, and then solve the system. if a plane can travel 340 miles per hour with the wind only 260 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air. please show step by step

Answers

Answer:

The speed of plane = 40 m/s

The speed of the wind = 300 m/s

Step-by-step explanation:

Let the speed of the plane = Y

And the speed of the wind = X

If the plane then travel 340 miles per hour with the wind, that means the plane and the wind are moving in the same direction. Therefore,

X + Y = 340 ..... ( 1 )

Also, 260 miles per hour against the wind. That is, the plane is moving opposite to the direction of the wind. Therefore,

X - Y = 260 ..... ( 2 )

Solve the two equations simultaneously by addition. That will eliminate Y

X + Y = 340

X - Y = 260

2X = 600

X = 600/2

X = 300 m/s

Substitutes X in equation (1)

300 + Y = 340

Make Y the subject of formula by collecting the like terms

Y = 340 - 300

Y = 40 m/s

Therefore, the speed of the plane is 40 m/s. While the speed of the wind is 300 m/s.

Seems fishy what do you think

The function ƒ(x) = 6x is vertically shrunk by a factor of ½ and translated 9 units in the negative y- direction. Select the correct graph of the resulting function. Question 9 options: A) image B) image C) image D) image

Answers

Answer:

A

Step-by-step explanation:

Please answer quickly.

Answers

Answer:

Option 4

Step-by-step explanation:

=> [tex]\frac{4}{5} x^{-9}y^6z^8[/tex]

If there is any variable having a negative exponent, we should move it to its opposite side (Denominator to numerator and vice versa) So that it's exponent become positive.

=> [tex]\frac{4y^6z^8}{5x^9}[/tex]

Answer: D) [tex]\frac{4y^6z^8}{5x^9}[/tex]

Step-by-step explanation:

(4/5)x^-9y^6z^8 = [tex]\frac{4x^{-9}y^6z^8}{5}[/tex]

Any negative exponent can be taken to the other side of the fraction to be positive.  Thus,

[tex]\frac{4x^{-9}y^6z^8}{5}[/tex] = [tex]\frac{4y^6z^8}{5x^9}[/tex]

Hope it helps <3

plz help me plz if u get it correct i will mark brainlist if i can

Answers

The second option: “Keep track of the number of heads flipped in 50 flips. These represent the number of females born today.”

One flip represents one baby born, and one head represents a female birth, so the total number of heads out of 50 flips simulates finding the ratio of females in a sample of 50 births.
The second option is correct

Translate the following into an algebraic expression: A number is 30% of 20% of the number x.

Answers

Answer:

.06x

Step-by-step explanation:

So 20 percent of x has to first be represented. So would do .2x. So then we have to find 30% of that number. So we multiply .2x*.3 and we get 0.06x.

I believe this is correct but tell me if I'm wrong

Answer:

0.06x

Step-by-step explanation:

.2x*.3=0.06x

The hypotenuse of an isosceles right triangle is 4sqrt(2) units. How many square units are in the area of the triangle?

Answers

Answer:

8sqrt(2)

Step-by-step explanation:

An isosceles is a triangle with 2 45 degree angles and one 90 degree angle.

if the hypotenuse side=4sqrt(2) than that means the other 2 sides have to be just 4 units.

the formula for a triangle is than (base×height)÷2

4×4sqrt(2)=16sqrt(2)

(16sqrt(2))/2=8sqrt(2)

Answer:

19.595 units²

Step-by-step explanation:

Find length of other sides:

An isosceles triangle has 2 sides equal. It has two 45 degrees angles and one  90 degrees angle. We can use Pythagorean theorem.

[tex](4\sqrt{2} )^2 =a^2 +a^2[/tex]

[tex]32 =2a^2[/tex]

[tex]16=a^2[/tex]

[tex]4=a[/tex]

The 2 equal sides measure 4 units.

Find area:

base × height × 1/2

The height can be found by Pythagorean theorem.

height² = 4² + 4sqrt(2)²

height²  = 16 + 32

height² = 48

height = 6.928

base is given

4sqrt(2) × 6.928 × 1/2

= 19.595343


The lengths of the sides of a triangle are in the ratio of 6:6:5. The perimeter of the triangle
is 34 centimeters. Find the length of each side of the triangle.

Answers

Hello!

Answer:

12 cm, 12 cm, 10 cm.

Step-by-step explanation:

Given:

Perimeter, or P = 34 cm

Ratio of sides = 6 : 6 : 5

To find the length of each side, we can use a variable in the ratio to find the perimeter:

34 = 6x + 6x + 5x

Combine like terms:

34 = 17x

Solve for x:

34/17 = 17x/17; x = 2

Plug in this value of "x" into each expression for the side-lengths:

6(2) = 12 cm

6(2) = 12 cm

5(2) = 10 cm

Therefore, the lengths of each side of the triangle are 12 cm, 12 cm, 10 cm.

Hope this helped you! :)

Answer:

12, 12 and 10 cm.

Step-by-step explanation:

6 + 6 + 5 = 17

So one side = 6/17 * 34 = 12 cm

One other side is also 12 cm

The third side = 5/17 * 34 = 10 cm.

lands on a field. The height of the ball, in meters, is modeled by the function shown in the graph. What's the average rate of change of the height of the ball from the point when John throws it to its maximum height? Question 10 options: A) 2 meters per second B) –1∕2 meters per second C) –2 meters per second D) 1∕2 meters per second

Answers

Answer:

  A) 2 m/s

Step-by-step explanation:

The ball increases from its thrown height of 3 meters to its maximum height of 7 meters in 2 seconds. That's an average rate of increase of ...

  (4 m)/(2 s) = 2 m/s

The average rate of change of height is 2 meters per second.

Answer:  2m/sec

Step-by-step explanation:  From the graph we see that the ball went from 3 meters to 7 meters, a difference of 4m.  It took 2 seconds to reach that height.

The average is found by dividing 4m/2sec

The result is 4m/sec

Jamila wrote the numbers 1-100 and placed them in a bag. If she selects a number without looking, what is the probability that the number is divisible by 5? Input your answer as a decimal or fraction.

Answers

100 total numbers.

20 Numbers divisiblae by 5: 5, 10, 15, 20, 25, 30, 35,40,45,50,55,60,65,70,75,80,85,90,95,100

Probability = 20/100 = 2/10

Answer:

1/5

Step-by-step explanation:

There are total 100 numbers.

Numbers divisible by 5 through 1-100 are:

5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100

There are 20 numbers that are divisible by 5.

20/100 = 1/5

Please I need help!

Write the equation of the line that passes through the points (7, -4) and ( 1, 3), first in point-slope form, and then in
slope intercept form
The slope of the line is
When the point (7, -4) is used, the point-stope form of the line is
The slope intercept form of the line is

Answers

Answer:

1)

[tex]\text{ Slope = -3}[/tex]

2)

[tex]y+4=-\frac{7}{8}(x-7)[/tex]

3)

[tex]y=-\frac{7}{8}x+\frac{17}{8}[/tex]

Step-by-step explanation:

We want to write the equation of the line that passes through the points (7, -4) and (-1, 3) first in point-slope form and then in slope-intercept form.

1)

First and foremost, we will need to find the slope of the line. So, we can use the slope-formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (7, -4) be (x₁, y₁) and let (-1, 3) be (x₂, y₂). Substitute them into our slope formula. This yields:

[tex]m=\frac{3-(-4)}{-1-7}[/tex]

Subtract. So, our slope is:

[tex]m=\frac{7}{-8}=-7/8[/tex]

2)

Now, let's use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

We will substitute -7/8 for our slope m. We will also use the point (7, -4) and this will be our (x₁, y₁). So, substituting these values yield:

[tex]y-(-4)=-\frac{7}{8}(x-7)[/tex]

Simplify. So, our point-slope equation is:

[tex]y+4=-\frac{7}{8}(x-7)[/tex]

3)

Finally, we want to convert this into slope-intercept form. So, let's solve for our y.

On the right, distribute:

[tex]y+4=-\frac{7}{8}x+\frac{49}{8}[/tex]

Subtract 4 from both sides. Note that we can write 4 using a common denominator of 8, so 4 is 32/8. This yields:

[tex]y=-\frac{7}{8}x+\frac{49}{8}-\frac{32}{8}[/tex]

Subtract. So, our slope-intercept equation is:

[tex]y=-\frac{7}{8}x+\frac{17}{8}[/tex]

And we're done!

Answer: Shown Below

Step-by-step explanation:

1. -7/8

2. y+4= (-7/8)(x-7)

3. y=(-7/8)x+ (17/8)

Just did it

is the square root of 34 rational or irrational

Answers

Answer:

irrational

Step-by-step explanation:

If a square root is not a perfect square, then it is considered an irrational number.

The square root of the number 34 is not a rational number

How to determine the type of the number

From the question, we have the following parameters that can be used in our computation:

The square root of the number 34

When evaluated, we have

The square root of the number 34 = √34

So, we have

The square root of the number 34 = 5.83.....

The above number cannot be represented by the quotient of 2 integers

Using the above as a guide, we have the following:

We can conclude that the number is an irrational number

Read more about rational number at

brainly.com/question/22221295

#SPJ6

1. What is the value of x? Show all of your work.

Answers

Answer:

9 cm

Step-by-step explanation:

Pythagorean's Theorem: a^2+b^2=c^2

x^2+6^2=117 (the square root of 117, squared)

X^2+36=117

x^2=117-36

x^2=81

x=9

Answer:

x = 9 cm

Step-by-step explanation:

Use the Pythagorean Theorem to find the length of the missing side.

a² + b² = c²

a² + (6)² = (√117)²

a² + 36 = 117

a² = 81

a = √81

a = 9

X is equal to 9 cm.

Hope this helps.

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

2. x = -16       y = -10.5

3. x = 4

4. x = 3         y = 2/9 or 0.2222222222222...

Step-by-step explanation:

2.

in my stategy, you plus -5x + 8y = -4 with 6x - 8y = -12

+8y and -8y could delete each other, then y will be gone.

-5x + 6y = 1x = x because -5 + 6 = 1

so then you could got x = (-4) + (-12) which means x = -16

if x = -16 that will then means

(-5) x (-16) + 8y = -4

80 + 8y = -4

8y = -4 - 80

8y = -84

y = -10.5

3.

This question has already given you that y = -5

that means,  3x + 6 × (-5) = -18

3x + -30 = -18

3x = -18 - (-30)

3x = 12

x = 4

4.

Like the 2. qestion, you first plus the 2 equation together,

+9y + -9y = 0

-7x + 4x = -3x

-19 + 10 = -9

than means

-3x = -9

x = 3

then put the x = 3 in one of the equation.

4 x 3 - 9y = 10

12 - 9y = 10

-9y = 10 - 12

-9y = -2

-7 x 3 + 9y = -19

-21 + 9y = -19

9y = -19 + 21

9y = 2

y = 2/9 or 0.2222222222...

Wish this could help you!

Answer:

Step-by-step explanation:

FIRST ,

ADD BOTH EQUATIONS

THEREFORE X=-16 , Y =-21/2

SECOND,

SUBSTITUTE Y=-5 IN EQN.1

THEREFORE X= 4 , Y=-5

THIRD ,

ADD BOTH EQUATIONS

THEREFORE X= 3 , Y= 2/9

MARK ME AS BRAINLIEST PLS...........................................

How many houses are on Prince Street?

Answers

Answer:

25 houses on prince street

Step-by-step explanation:

add them up and bam

Answer:

25 houses

Step-by-step explanation:

You need to add up all the houses and u will get the ans..

Have a good day !!

Hope this helps..

                       Pls mark my ans as branliest :)If u mark my ans as brainliest then u are the "bestestest " person in the world  :)
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