Proving the Converse of the Parallelogram Side Theorem
GONIN
roce UNO Salam
seat of argam
20N
3.
Nad NL
are atrages
SININ
S.
WONIN
Answers
i hope you guys didn't have to suffer thru the rest like I did c,:
here is THE REST OF THE ANSWERS!
Step-by-step explanation:
THE ENTIRE PICTURE ABOVE IS CORRECT, BUT AFTER THAT THE NEXT ANSWERS ARE.....
8. angle LNO is congruent to angle NLM because of CPCTC
9. segment ON is parallel to segment LM because of converse of the alt. int. angles theorem
10. segment LO is parallel to segment MN because of converse of the alt. int. angles theorem
11. LMNO is a parallelogram because of the def. of a parallelogram
I just did all of these on edg. 2022 and they're correct. have a great day/night you guys and good luck!
We will use the converse of alternate interior angles theorem to prove LMNO is a Parallelogram.
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length, and the opposite angles of a parallelogram are of equal measure.
The proof is as follows:
Statements Reasons
1) LO ≅ MN Given
2) ON ≅ LM Given
3) LN ≅ LN Reflexive property
4) Δ LON ≅ Δ NML SSS congruency rule
5) ∠ NLO ≅ ∠ LNM CPCTC
and ∠ MLN ≅ ∠ LNO
6) LM ║ ON and LO ║ MN converse of alternate interior angles theorem
7) LMNO is a Parallelogram Property of Parallelogram
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Related Questions
I WILL GIVE BRAINIEST JUST PLEASE ANSWER THIS IM ON A TEST ;-;
Answers
Answer:
a)Fourth coordinate (- 4 , 1 )
b)Dimension : 6 unit by 3 unit
c)Area = 18 square units
Step-by-step explanation:
Given coordinates A = ( 2 , 1) , B = ( 2 , 4 ) , C= ( -4 , 4)
Find D.
Let D = (x , y)
For a rectangle, mid point of diagonal are same.
[tex]Mid - point \ of \ AC = ( \frac{2-4}{2}, \frac{4+1}{2}) = (-1, 2.5)\\\\Mid - point \ of \ BD = ( \frac{x+2}{2}, \frac{y+4}{2} )[/tex]
Since mid-points are same. Equate :
[tex]\frac{x+2}{2} = -1\\\\x+2 = -2\\\\x = -4[/tex]
[tex]\frac{y+4}{2} = 2.5\\\\y + 4 = 5\\\\y = 1[/tex]
a)
Therefore, D = ( -4, 1)
Since parallel sides of a rectangle are the same.
We will find the length of the sides using distance formula.
Distance between ( 2, 1 ) and ( 2, 4)
[tex]Distance_{AB} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} } =\sqrt{(2-2)^2 + (4-1)^2 } = \sqrt{9} = 3[/tex]
AB = 3
Distance between ( 2 , 4 ) and ( -4 , 4)
[tex]Distance_{BC} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} } =\sqrt{(2--4)^2 + (4-4)^2 } = \sqrt{36} = 6[/tex]
BC= 6
CD is parallel to AB , therefore CD = 3
AD is parallel to BC, therefore AD = 6
b) Dimensions : length = 6 , breadth = 3
c) Area = Length x Breadth
= 6 x 3
= 18 square units
Enter the equation of the line in slope-intercept form.
Slope is -5, and (7,4) is on the line.
The equation of the line is
Answers
Answer:
[tex]y=-5x+39[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)
1) Plug in the slope (m)
[tex]y=mx+b[/tex]
Plug in the slope -5
[tex]y=-5x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-5x+b[/tex]
Plug in the given point (7,4) and solve for b
[tex]4=-5(7)+b\\4=-35+b[/tex]
Add 35 to both sides to isolate b
[tex]4+35=-35+b+35\\39=b[/tex]
Therefore, the y-intercept is 39. Plug this back into [tex]y=-5x+b[/tex]:
[tex]y=-5x+39[/tex]
I hope this helps!
If a line has a slope of 3, what is the slope of a line perpendicular to it?
Answers
Answer:
- [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex]
Here m = 3 , then
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{3}[/tex]
Jeremy uses 2 feet 3 inches of board for each birdhouse he builds. How many inches of board does he need to make 6 birdhouses?
Answers
Answer:
134inches
Step-by-step explanation:
Convert 2feet to inches
1foot= 12 inches
2feet= 12x2inches
=24inches
24inches is to 1 birdhouse
24inches x 6 equals six birdhouses
134inches
Answer:
He will need 162 inches
Step-by-step explanation:
6×2ft is 12 feet. Convert ft into inches for every 1 foot you have 12 inches. A total of 144in. Now multiply 6×3in which equals 18in. Add 144+18=162
Which theorem is not a valid theorem to show that two triangles are congruent? Which theorem is not a valid theorem to show that two triangles are congruent?
Answers
Answer:
SSA theorem
Step-by-step explanation:
Given
(a) SSA (b) ASA (c) SAS (d) SSS
Required
Which cannot be used to prove congruence of triangles
In proving the congruence of two or more triangles, the following postulates or theorem are valid and can be used:
ASA, SAS, SSS
The SSA theorem/postulate relies on other postulates and as such, it does not prove congruence on its own.
Help for both??? If you can
Answers
Answer:
first : 1808.64 [tex]in^{2}[/tex]
second : 48
Step-by-step explanation:
Area = [tex]\pi[/tex][tex]r^{2}[/tex]
A = [tex]24^{2}[/tex] x 3.14
second:
A = [tex]4^{2}[/tex] x 3
A= 16 x 3
A = 48
Find the missing side
Answers
Answer:
x=21
Step-by-step explanation:
they are corresponding to each other
what is seven million written as numeral?
Answers
Answer: 7,000,000
A million= six zeroes
Ones, tens, hundreds, thousands, ten-thousands, hundred-thousands, millions
Each place value represents an additional zero
Find the value of x that makes ABCD a parallelogram?
answers
a.) x=30
b.) x=20
c.) x=40
d.) x=60
Answers
Answer:
D) x=60
The choose
Step-by-step explanation:
360 =70+70+50+50+2x
360=240+2x
360-240=2x
120=2x
x=120/2
x=60
At Factory Y, a worker's wages for a 40-hour week is $200. She is paid 10% of her regular weekly wages for every hour that she works overtime. At the end of a certain week she received $380. Calculate the number of hours of overtime that she worked.
Answers
Answer:
She worked 18 hours of overtime.
Step-by-step explanation:
If she works 40 hours per week and gets $200, subtract $380 - $200 = $180.
If you multiply $180 by 0.1 (which is 10% converted to a decimal), you get 18 which is your final answer.
What is the DMS measure of an angle that is 3.7 radians?
A. 11° 37' 26"
B. 0° 3' 52.5"
c. 211° 59' 39.6"
D. 3° 42' 0"
Answers
A plane and a line not in that plane which are parallel to the same line, are parallel to each other. Always, sometimes, or never
Answers
Answer:
a line and a plan are considered parallel if they have no points in common if two parallel planes are cut by a third plane then the lines of intersection are parallel
which is the value of x in the equation-3/4 = x/24 A. -32 B. -18 C. 18 D. 32
Answers
Answer:
-18 =x
Step-by-step explanation:
-3/4 = x/24
Using cross products
-3*24 = 4*x
-72 = 4x
Divide each side by 4
-72/4 = 4x/4
-18 =x
Answer:
B. -18
Step-by-step explanation:
-3/4 = x / 24solve the proportion using cross multiplication
-3 × 24 = 4 × x-72 = 4xswap the side
4x = -72divide both side by 4
4x / 4 = -72/4x = - 18The inequality – x2 - 6 <0 has
Answers
Answer:
X es igual a 3
Step-by-step explanation:
x2 - 6 = 0
(3)2 - 6 = 0
a. 145
b.35
c.135
d.45
Answers
Answer:
a.) 145°
Step-by-step explanation:
First, we need to understand that ∠5 = ∠4 because they are alternate interior angles, therefore, ∠5 = 35°. Then since ∠5 and ∠6 are supplementary angles, we know that ∠5 + ∠6 = 180°, therefore ∠6 = 180° - ∠5 = 180° - 35° = 145°. Now we need to understand that ∠6 and ∠7 are vertical angles, therefore they are equal to each other, so now we know that the right answer is a.) ∠7 = 145°.
Which list of numbers can be described by the following rule?
A. 33,49,67
B.65,49,33
C.33,49,65
D.65,48,33
Answers
Explanation:
first term = 33
second term = first term + 16 = 33+16 = 49
third term = second term + 16 = 49+16 = 65
We're adding 16 to each term to get the next term.
Answer:
c is correct
mark as brainiest please
measures of variability,i have realized that
Answers
Answer:
Measures of Variability: Range, Interquartile Range, Variance, and Standard Deviation. ... While a measure of central tendency describes the typical value, measures of variability define how far away the data points tend to fall from the center. We talk about variability in the context of a distribution of values.
complete the table
mark brainliest
Answers
Answer:
[tex]= \frac{333}{500}[/tex]
Step-by-step explanation:
66.6% = [tex]\frac{66.6}{100}= \frac{33.3}{50}= \frac{33.3*10}{50*10}\\\\\\[/tex]
[tex]= \frac{333}{500}[/tex]
What must be multiplied by 0.0426 to get 4260 ??
Answers
Answer:
[tex]{ \tt{let \: that \: value \: be \: { \bf{x}}}} \\ 0.0426 \times x = 4260 \\ { \tt{0.0426x = 4260}} \\ { \tt{x = \frac{4260}{0.0426} }} = 100000 \\ { \tt{answer = 100000}}[/tex]
0.0426 × y = 4260
y = 4260÷0.0426
y=100000
Which of the following represents the factorization of the polynomial below?
Answers
Answer:
option C
Step-by-step explanation:
2x^2 + 5x + 3
using middle term break method
we need two numbers which gives 6 when multiplied and 5 when added
2x^2 + (3 + 2)x + 3
2x^2 + 3x + 2x + 3
x(2x + 3) + 1(2x + 3)
(2x + 3)(x + 1)
Hal earns a B on 75% of his tests. He divides a spinner into 12 equal spaces to model the grades he earns on his tests, with nine of the spaces
representing a B. Which statement about his model is true?
OA. His model cannot be improved.
ОВ.
OC.
His model can be improved the most by dividing the spinner into 15 equal spaces.
His model can be improved the most by using every third space on the spinner to represent a B.
His model can be improved the most by using eight of the spaces to represent a B.
OD
Reset
Next
Answers
The true statement is His model can be improved the most by dividing the spinner into 15 equal spaces.
The correct option is (B)
What is data?
As per the situation, he divided the spinner in 12 parts but it would be to score more if he divide the spinner in 15 parts in his b.
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3
JK, KL, and IJ are all tangent to o (not drawn to scale). JA = 8, AL = 11, and
CK = 10. Find the perimeter of AJKL.
Answers
Answer:
[tex]P = 58[/tex]
Step-by-step explanation:
The image if the circle and triangle can be found online
Given
[tex]JA = 8[/tex]
[tex]AL = 8[/tex]
[tex]CK = 10[/tex]
Required
The perimeter of JKL
Since the mid-points of the tangents are A, B and C respectively.
[tex]JK = JB + BK[/tex]
Where
[tex]JB = JA = 8[/tex]
[tex]BK = CK = 10[/tex]
So:
[tex]JK =8+10 =18[/tex]
[tex]JL = JA + AL[/tex]
[tex]JL = 8+11 = 19[/tex]
[tex]KL = CL + CK[/tex]
Where
[tex]CL =AL = 11[/tex]
So:
[tex]KL = 11+10 = 21[/tex]
So, the perimeter (P) is:
[tex]P = JK+ KL +JL[/tex]
[tex]P = 18 + 19 + 21[/tex]
[tex]P = 58[/tex]
Jose wants to find the perimeter of triangle ABC. He uses the distance formula to determine the length of AC. Finish Jose’s calculations to find the length of AC.
What is the perimeter of triangle ABC? Round the answer to the nearest tenth, if necessary.
12.0 units
12.4 units
15.0 units
15.4 units
Answers
Answer:
15.4 units
Step-by-step explanation:
sqrt(5²+4²) = sqrt(41) = 6.4
the other two legs are 5 and 4
so perimeter
= 4+5+6.4 = 15.4 units
SECTION:B NUMBER PATTERNS
johnny's tile shop has a newly disigned tile. It can be odered in different sizes. size 1 has one white tile in the middle and is surrounded by eight black tiles ; size 2 has four white tiles in the middle and surrounded by twelve black tiles.
draw sizes 3,4 and 5
Answers
Answer:
Step-by-step explanation:
Well I am not sure whether to draw it because there are no options of drawing
The requried Tiles of sizes 3, 4, and 5 have been shown in the image.
What is the matrix?A matrix is a collection of numbers that are arranged in rows and columns to form a rectangular array. The numbers are referred to as matrix elements or entries. Matrices are widely used in engineering, physics, economics, and statistics, as well as in many disciplines of mathematics.
Here,
To draw the designs for sizes 3, 4, and 5 of Johnny's newly designed tile, we need to follow the same pattern as sizes 1 and 2.
Size 3 has a 7x7 grid of tiles with nine white tiles in the center and 16 black tiles around them,
Size 4 has a 9x9 grid of tiles with 16 white tiles in the center and 20 black tiles around them.
Size 5 has an 11x11 grid of tiles with 25 white tiles in the center and 28 black tiles around them.
Thus, the requried Tiles of sizes 3, 4, and 5 have been shown in the image.
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2x+3y=2
y = 1/2x + 3
What is the solution to the system of equations?
(-2,2)
(0,0.67
(0,3)
(1,0
Answers
Answer:(-2,2)
Step-by-step explanation:
2x+3(1/2x+3)=2
⇒7/2x=-7
÷7⇒1/2x=-1
×2⇒x=-2
x=-2 into the equation
⇒2×(-2)+3y=2
⇒3y=6
⇒y=2
Answer:
(-2 , 2)
Step-by-step explanation:
2x + 3y = 2 ---------------(I)
y = (1/2)x + 3 --------------(II)
Substitute y value in equation (I)
[tex]2x + 3*[ \frac{1}{2}x + 3] = 2\\\\2x + 3*\frac{1}{2}x+3*3=2\\\\2x+ \frac{3}{2}x+9=2\\\\2x + \frac{3}{2}x = 2-9\\\\2x + \frac{3}{2}x = -7 \\[/tex]
Multiply the whole equation by 2
[tex]2*2x + 2* \frac{3}{2}x = -7 *2\\\\4x + 3x = -14[/tex]
7x = -14
x = -14/7
x = -2
Plugin x = -2 in equation (I)
2*(-2) + 3y= 2
-4 + 3y = 2
Add 4 to both sides
3y = 2+4
3y = 6
Divide both sides by 3
y = 6/3
y = 2
Use the elimination method to solve the system of equations. Choose the correct ordered pair
Answers
Answer:
Answer is B
Step-by-step explanation:
[tex]12x - y = 25 \\ 9x + y = 17 \\ x = \frac{17 - y}{9} \\ 12( \frac{17 - y}{9} ) - y = 25 \\ [/tex]
[tex]\frac{204}{9} - \frac{12}{9} y - y = 25 \\ \frac{204}{9} - \frac{21y}{9} = 25 \\ - \frac{21y}{9} = 25 - \frac{204}{9} \\ - \frac{21y}{9} = 2.33 \\ - 21y = 20.997 \\ y = - 0.99[/tex]
[tex]y = - 1 \\ x = \frac{17 - y}{9} \\ x = \frac{17 - - 1}{9} = \frac{18}{9} \\ x = 2[/tex]
En un océano, hay 3 Islas, cada isla representa un Monomio, si el grado absoluto de cada isla lo representa la cantidad de persona que hay en cada isla, calcular el grado absoluto del océano. En la Primera isla hay 10 personas, en la Segunda isla hay 25 personas y en la Tercera isla hay 8 personas. Nota: Un océano es el polinomio y cada isla es un monomio que está incluido dentro del polinomio.
Answers
Answer:
25
Step-by-step explanation:
Un polinomio de grado n se escribe como:
P(x) = aₙ*x^n + ... + a₁*x + a₀*x^0
Donde n es el exponente de mayor del polinomio, y decimos que el grado absoluto de este polinomio es n.
En este caso sabemos que tenemos 3 islas, y cada una de ellas representa un monomio ( un monomio es cada uno de los términos de un polinomio).
Sabemos que el grado de cada isla depende de la cantidad de gente que vive en la isla.
Tenemos una con 10 personas, entonces tendremos un término con un exponente igual a 10.
Tenemos una isla con 25 personas, entonces tendremos un término con un exponente igual a 25.
Tenemos una isla con 8 personas, entonces tendremos un término con un exponente igual a 8.
Recordando que el grado absoluto del polinomio es igual al mayor exponente del polinomio, acá podemos ver que el mayor exponente es 25.
Entonces el grado absoluto del polinomio será 25.
What are reciprocals?
Answers
Answer:
In mathematics,reciprocal is an expression or function so related to another that their product is unity; the quantity obtained by dividing the number one by a given quantity.
Answer:Rh
Step-by-step explanation:mama
What percent of all students are middle schools
Answers
42% of all students are in middle school.
Please help ASAP!!!
A rectangle is formed by placing two identical squares side by side. the area of the rectangle is 892 cm2. What is the perimeter of the square?
Answers
Answer:
288 cm^2
Step-by-step explanation:
If you have 2 congruent squares, side by side, the perimeter is 6*sidelength.
We divide 72 by 6 to find sidelength, and get 12.
We square 12 to find the area of a square, and get 144.
Multiply by 2 to find the area of the rectangle, and get 288 cm^2