Step-by-step explanation:
The AB is equal to AC because They are straight lines that both came from the same point Which is A. which shows congruecy or similarity
Proving the Converse of the Parallelogram Side Theorem
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seat of argam
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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
For more references on Parallelogram, click;
https://brainly.com/question/29147156
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Line l has a slope of . The line through which of the following pair of points is perpendicular to l?
A. (-5, -6), (3,3)
B.(-9, -6), (3,3)
C. (3,-5), (-6,3)
D. (9,-2),(-6,6)
Answer:
b is the right answer
Step-by-step explanation:
please help it’s for a final
Answer:
DAC = 54
Step-by-step explanation:
90 - 36 = 54
54 degrees
Find the area of the circle. Leave your answer in terms of pi
Answer:
4.84 pi
Step-by-step explanation:
[tex]area = \pi \times {r}^{2} [/tex]
Answer:
484pim^2(d)
Step-by-step explanation:
pir^2
pi(22)^2
484pi
Find the Surface Area of the composite figure acellus
Answer:
653 is the total suface area
Step-by-step explanation:
i have all the math in the note book but i can explain it very simply you find the area of the big base which is 120 the side of 12 which equals 84 and the side of ten which equals 70 and multiply them all by two which gives you 548 then you multiply the base of the small figure (only count one of the shapes bases btw) and that equals 9 the you find the sides which are 24 each this gives you 96 + 548 = 644 +9 = 653 and there is your answer
Answer:
644in~2
Step-by-step explanation:
acellus 2022 ;)
3, 6, 9, 12, 15,
Tlie common difference " is
Answer:
The common difference is definitely 3. The common difference is the difference between the numbers in a sequence. In the sequence 3,6,9,12, and 15 the common difference is 3.
Which point satisfies both f (x) = 2X and g(x) = 3?
Answer: uhh 76t4
Step-by-step explanation: words here
The ordered pairs (6,8), (9, 12), (x, 20), (18, y) represent a proportional relationship. Find the value of X and the value of Y. Select the two correct answers.
Answer:
x=15 y=24
Step-by-step explanation:
This is because the rule is x goes up 3 y goes up 4
(9,12)->(x,20)
it skips one, so instead of adding 3 we add six
x=15
(15,20)->(18,y)
you follow the rule and 4.
Y=24
PLEASE PLEASE PLEASE HELP ME
Please look at all of the questions!
Thank you in advance!!!
Find the value of x,y,z.
What is value of x,y,z.
Answer:
[tex]x=7\\y=128\\z=128[/tex]
Step-by-step explanation:
Value of x:-
Form an equation:
[tex]4x+24=7x+3[/tex] {opposite / vertical angles are equal}
Subtract 7x from both sides:
[tex]4x+24-7x=7x+3-7x[/tex]
[tex]-3x+24=3[/tex]
Subtract 24 from both sides:
[tex]-3x+24-24=3-24[/tex]
[tex]-3x=-21[/tex]
Divide both sides by -3
[tex]-3x/-3=-21/-3[/tex]
[tex]x=7[/tex]
Value of y and z:-
Value of x is 7 so replace x in the equations:
[tex]4(x)+24=52\\7(7)+3=52[/tex]
Now that we have the value of x, its easy to find y and z
[tex]52+52+y+z=360[/tex]
{complete circle makes 360°}
[tex]104+y+z=360[/tex]
[tex]y+z=360-104[/tex]
[tex]y+z=256[/tex]
Divide 256 by 2 to get value of each variable:
vertically opposite angles (y & z) are equal
[tex]256/2 = 128[/tex]
[tex]y=128\\z=128[/tex]
∴ CHECK: 128 + 128 + 52 + 52 = 360°
hope this helps...
Answer:
X=7
Y and Z = 128
Step-by-step explanation:
7X+3=4X+24
it is equal coz by the opposite angle
find the value of X
7x+3=4x+24--------------collect like term
3x=21----------divided by 3
x=7
then 7x+3=52
4x+24=52
SR is the line that measure 180°
that means (7x+3)+Z=180°
use the value of X into the equation
Z=180-52
Z=128
it means Z and Y are equal so Y= 128
will give branliest TO ANY ACTUAL ANSWERS
Which equation does the graph of the systems of equations solve?
two linear functions intersecting at 3, negative 2
The instantaneous coordinates of a particle are x=(4t-1) m and y=8t^2 m. Calculate average velocity at time interval 1s to 2s
Answer:
The average velocity of the particle is [tex]\vec {v}_{avg} = 4\,\hat{i} +24\,\hat{j}\,\left[\frac{m}{s} \right][/tex].
Step-by-step explanation:
In vector terms, the average velocity of a particle ([tex]\vec v_{avg}[/tex]), in meters per second, at a given time change ([tex]\Delta t[/tex]), in seconds:
[tex]\vec v_{med} = \frac{\Delta x}{\Delta t}\,\hat{i} + \frac{\Delta y}{\Delta t}\,\hat{j}[/tex] (1)
Where [tex]\Delta x[/tex] and [tex]\Delta y[/tex] is the change in position for x and y axes, in meters.
[tex]\Delta x = x(2) - x(1)[/tex]
[tex]\Delta x = (4\cdot 2 - 1)-(4\cdot 1 - 1)[/tex]
[tex]\Delta x = 4\,m[/tex]
[tex]\Delta y = y(2) - y(1)[/tex]
[tex]\Delta y = 8\cdot (2)^{2}-8\cdot (1)^{2}[/tex]
[tex]\Delta y = 24\,m[/tex]
[tex]\Delta t = 2\,s - 1\,s[/tex]
[tex]\Delta t = 1\,s[/tex]
[tex]\vec v_{avg} = \left(\frac{4\,m}{1\,s}\right)\,\hat{i} + \left(\frac{24\,m}{1\,s} \right) \,\hat{j}[/tex]
[tex]\vec {v}_{avg} = 4\,\hat{i} +24\,\hat{j}\,\left[\frac{m}{s} \right][/tex]
in a class 3/5 of the pupils are boys. If there are 24 girls,how many boys are there in the class ?
Answer:
36 boys
Step-by-step explanation:
let x be the number of pupils in the class , then
[tex]\frac{3}{5}[/tex] x + 24 = x ( multiply through by 5 to clear the fraction )
3x + 120 = 5x ( subtract 3x from both sides )
120 = 2x ( divide both sides by 2 )
60 = x
Then
number of boys = [tex]\frac{3}{5}[/tex] × 60 = 3 × 12 = 36
What type of polynomial is: 2x - 4x^3 - 7 + 6x^2
A. quadratic
B. linear
C. quartic
D. cubic
Answer:
Option D
Step-by-step explanation:
Given polynomial :-
=> 2x - 4x³ -7 + 6x²
Here the highest degree of variable is 3 ,
Therefore it is a cubic polynomial .
Please help I’ll give brainliest
Answer:
Exponent or indexStep-by-step explanation:
An exponent or index is a number or letter written above and to the right of a mathematical expression called the base.
It indicates that the base is to be raised to a certain power.
Here,
3, 4 and 12 are the letters which are written above the base 2.
So,
3, 4 and 12 are exponent or index
Which expression represents the greatest value?
Answer:
"-2" is the same in all expressions, and it's just plus or minus. so let's ignore the "-2" and look only at the rest
+1 is the greatest then
so -2+1 is the greatest
Helppp meeeee plzzzzzxxzz
Answer:
You will save $20.
Step-by-step explanation:
IMPORTANT FORMULA: TO CONVERT A NUMBER TO A PERCENT, YOU HAVE TO MULTIPLY BY 100. TO CONVERT A PERCENT TO A NUMBER, YOU HAVE TO DIVIDE BY 100.
1) Some percent of an amount is what?
Using the formula above, I can conclude that 40% is equal to 40/100=4/10=2/5
2) Translate into an equation.
It is important to keep in mind that we are trying to find 40% of $50 in order to find out how much money will be saved.
In the above step, we already found that 40% = 2/5.
I also know that, in mathematics, the word "of" means multiplication.
Therefore, I am trying to find 40% of $50 is the same as 2/5 * $50.
2/5 * $50 = x ------ (x represents the money saved)
3) Solve for variable.
$20 = x
4) Write a sentence to answer the question.
You will save $20.
There are three people in Lee's family.
The range of their shoe sizes is 3.
Two people in the family wear shoe size 6.
Lee's shoe size is not 6 and it is not 3.
What is Lee's shoe size?
Answer:
αѕ hєrє thє ѕhσє rαngє íѕ gívєn = 3
αnd thє lєє fαmílч íѕ cσnѕíѕtєd σf thrєє pєσplє
thє ѕhσє ѕízє σf twσ pєσplєѕ = 6
wє knσw thαt rαngє = highest observation - lowest observation
so there are two probalities that lee s shoe size can be higher than the other two members by 3 units or greater than the other two members by 3 units
but one limitation given here that the lee shoe size is not smaller than the other two members by 3 units
so lee s shoe size = 6+3= 9 (ans)
How many solutions does the following equation have:
16y + 7 = -3y + 10 + 8y
Answer:
one solution only
Step-by-step explanation:
16y + 7 = -3y + 10 + 8y
16y + 3y - 8y = 10 - 7
11y = 3
y = 3/11
Multiply the following complex numbers:
(8 - 3i)(6 + 5i)
A. 33 + 221
B. 33 - 221
C. 63 + 221
O D. 63 - 221
Answer:
63+22i
Step-by-step explanation:
(8 - 3i)(6 + 5i)
FOIL
first: 8*6 = 48
outer: 8*5i = 40i
inner: -3i* 6 = -18i
last: -3i*5i = -15 i^2 = -15(-1) = 15
Add together
48+40i -18i +15
Combine like terms
63+22i
plz any one here to follow me plz tellme any one ?
Can someone help pls ? Thanks
Answer:
13
Step-by-step explanation:
Prime numbers are only divisible by 1 or themselves.
No other factors
log base 16 of 256 -log base 16 of 16
Answer:
What’s the question
Step-by-step explanation:
What is the value of x in the equation 3x-4y=65, when y equals 4?
Answer:
x = 27
Step-by-step explanation:
3x - 4y = 65
3x = 65 + 4y
Find x, when y = 4
3x = 65 + 4 (4)
3x = 65 + 16
3x = 81
x = 27 [tex][ \ x = \frac{81}{3}\ ][/tex]
During a nature walk, Mary identified
24 species of animals and plants.
Mary said
1/5
of the species she identified were
animals. Can this be correct? Explain.
Answer:
No, it cannot be correct.
Step-by-step explanation:
1/5 of 24 is 4.8.
This would mean that Mary would have identified 4.8 animals.
This is logically incorrect, because the number of animals has to be a full number. There cannot be any decimals, or parts of animals.
So, this cannot be correct.
I need help please!!
What is the solution?
Answer: (5, 0) and (3, 4)
Using the quadratic formula to solve x2 = 5-x, what are the values of x?
-1+/21
1-1+/19
5+/21
2.
1+ 191
2.
Answer:
Step-by-step explanation:
First get everything on the same side of the equals sign and set the quadratic equal to 0:
[tex]x^2+x-5=0[/tex] where a = 1, b = 1, c = -5:
[tex]x=\frac{-1+-\sqrt{1^2-4(1)(-5)} }{2(1)}[/tex] which simplifies down a bit to
[tex]x=\frac{-1+-\sqrt{21} }{2}[/tex] and your 2 solutions are
[tex]x=\frac{-1+\sqrt{21} }{2}[/tex] and [tex]x=\frac{-1-\sqrt{21} }{2}[/tex]
Alicia is a music artist. Her income can be represented by the function, f(a) = 200 + 12a, where a represents the total number of albums sold.
What is an acceptable domain for this situation?
Answer:
The answer is below
Step-by-step explanation:
A function shows the relationship between the set of inputs (independent variable) to the set of outputs (dependent variables).
The domain of a function is the set of possible inputs (independent variable) that satisfies the functions.
From the question, the domain of the function is the set of all possible vales of the inputs which is a (number of album sold).
Hence the domain of the function is:
0 < a < ∞
A line passed through the point (8,5) and has a slope of 2. Write an equation for this line
Answer:
y = 2x -11
Step-by-step explanation:
The equation of a line that passes through point x1, y1 is given as
y - y1 = m (x - x1)
where m is the slope of the line
Given that the line passes through the point (8,5) and has a slope of 2, the equation of the line
y - 5 = 2 (x - 8)
y - 5 = 2x - 16
add 5 to both sides
y = 2x - 16 + 5
y = 2x -11
Someone plz help Which of the following equations represent f(x)=x^4 stretched vertically by a factor of 2 and horizontally by a factor of 4
Step-by-step explanation:
the answer is in the image above