PLEASE HELP! The vertices of square LMNO are L(0, 2), M(2, 0), N(0,−2), and O(−2, 0). Which of the following shows that its diagonals are congruent perpendicular bisectors of each other? I ATTACHED THE IMAGES.
Answers
Answer:
The fourth one is correct.
Step-by-step explanation:
To show the diagonals are congruent, calculate their lengths using the Distance Formula: d=(x2−x1)2+(y2−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√.
Find the length of LN.
Substitute 0 for x1, 2 for y1, 0 for x2 and −2 for y2.
LN=(0−0)2+(−2−2)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
=02+(−4)2‾‾‾‾‾‾‾‾‾‾√
=8‾√
Find the length of MO.
Substitute 2 for x1, 0 for y1, −2 for x2 and 0 for y2.
MO=(−2−2)2+(0−0)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
=(−4)2+02‾‾‾‾‾‾‾‾‾‾√
=8‾√
Since LN=MO, by the definition of congruent line segments, LN=MO.
To show the diagonals are perpendicular, calculate their slopes using the Slope Formula: m=y2−y1x2−x1.
Find the slope of LN.
Substitute 0 for x1, 2 for y1, 0 for x2 and −2 for y2.
m1=−2−20−0=−40⇒m1 cannot be defined.
Find the slope of MO.
Substitute 2 for x1, 0 for y1, −2 for x2 and 0 for y2.
m2=0−0−2−2
=0−4
=0
The slope of LN cannot be defined, this means that LN is parallel to y-axis. The slope of MO is equal to 0, this means that MO is parallel to x-axis. x and y axis are perpendicular, therefore LN⊥MO.
The figure shows the same square L M N O on a Cartesian plane as in the beginning of the task. Diagonal L N is perpendicular to diagonal M O.
To show the diagonals bisect each other, calculate their midpoints using the Midpoint Formula: P(x1+x22,y1+y22).
Find the midpoint of LN.
Substitute 0 for x1, 2 for y1, 0 for x2 and −2 for y2.
P1(0+02,2+(−2)2)=(0, 0)
Find the midpoint of MO.
Substitute 2 for x1, 0 for y1, −2 for x2 and 0 for y2.
P2(2+(−2)2,0+02)=(0, 0)
Both midpoints are the same point on the coordinate plane. This means the two diagonals intersect at their midpoints, or bisect each other.
The figure shows the same square L M N O on a Cartesian plane as in the beginning of the task. The diagonals intersect at point P. Segments L P, P N, M P, and P O are congruent.
Therefore, the diagonals are congruent perpendicular bisectors of each other.
Related Questions
Please help
Complete the square for the following equation x^2-18x
Answers
Answer:
Multiple answers would work
Step-by-step explanation:
From the subtraction sign before the 18x, we can infer that one of the equations has a negative number. So, know we have this:
(x-?) (x+?)
There are multiple answers this could be,
(x-18) (x)
(x-20) (x+2)
You get where I am going...
If you went with the first on (x-18) (x), then you wouldn't have to add anything.
(x-20) (x+2) = x^2 - 18X - 40.
To be honest this one stumped me. Some just have multiple answers. My guess is that you have to fill out the boxes so maybe the first answer wouldn't work.
Sorry I couldn't give a concise answer. Though their probably is one obivious answer that I am missing.
Answer:
I think its 16, 32, or 36.
Step-by-step explanation:
Because I set it up like 2/100 = x/18 and then do the math
12. A culture of bacteria in the lab doubles every 6 minutes. Assume the growth follows a continuous exponential
model and you start with only 2 bacterium.
Using an appropriate exponential base, if this pattern continues to be applicable, find the time in
which the number of bacteria would reach 109. (Round to the nearest minute.)
Answers
Answer:
18 minutes
Step-by-step explanation:
if you divide 109 by 6, ya get 18.166666-
You have 200 bottles of Medicine. 99% contain Medicine A; the rest, Medicine B. How many bottles of Medicine A do you need to use/empty to get Medicine A to 98%?
Answers
Answer:
I need to empty 2 bottles to get Medicine A to 98% of the total bottles
Step-by-step explanation:
The first step is to find out what 99% of 200 is. This will give us how many bottles of "Medicine A" are present.
99% of 200 is 198. This means that there are 198 bottles of Medicine A present.
The next step is to find out what 98% of 200 is. This will give us the number of bottles of "Medicine A " that will be left remaining.
98% of 200 is 196. There neede to be 196 bottles left after I have taken out and emptied a few bottles of Medicine A.
The last step is to subtract 196 from 198 bottles, to get the number of bottles that I need to empty.
This will be 198 - 196 = 2 bottles
I need to empty 2 bottles to get Medicine A to 98% of the total bottles
20 i think
Step-by-step explanation:
if it was 100 it would be 10. 100x2=200. thats how i got 20
i know this is the easiest question ever but who wanna do it for me?:(
Answers
Answer:
The answer is y = -2x .....
Answer:
y=2
Step-by-step explanation:
This line is horizontal because it just crosses the y-axis at 2.
The picture shows what the graph would look like. The dark purple dot on the line is where the coordinate 2 is
1.Name of the ? segment
2.Length of the ? segment
Answers
Answer:
3 and AC
Step-by-step explanation:
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP!!!! I'LL GIVE BRAINLIEST
A 2-column table with 3 rows titled Units of Capacity. Column 1 is labeled Customary System Units with entries 1 gallon, 1 quart, 1 cup. Column 2 is labeled Metric System Units with entries 3.79 liters, 0.95 liters, 0.237 liters.
Sameer usually drinks 3 cups of coffee in the morning. How many liters of coffee does he drink? Round your answer to the nearest tenth.
3 cups/1 × new units/ original units = ?
Sameer drinks _____ liters of coffee in the morning.
Answers
Answer:
11.85 deciliters
Step-by-step explanation:
11.85 deciliters
Answer:
0.7
Step-by-step explanation:
Find x using the Pythagorean formula.
Answers
can i get some help pls
It would be nice
Answers
Answer:
sandra
3.14 x 12=37.68
All the other kids didn't get that part right
Step-by-step explanation:
At a sleepover, three friends ate of a pizza. For a snack the next day, the friends
3 of the leftover pizza. What fraction of the pizza was not eaten?
ate
Answers
Answer:
3/8
Step-by-step explanation:
there are 3 friends even if it wasn't evenly eaten there was 3 slices left over which means it's 3/8
Find the GCF of 8a^3b^5c^2 and 12a^2b^3c^2
*Please show your steps to the equation*
Answers
Greatest common factor of 8 and 12 is 4
A^3 and a^2 = a
B^5 and b^3 = b
C^2 and c^2= c^2
a baker needs 3/5 cup of water 2/3 cup flour using this ratio how much flour is needed for 1/3 cup water?
10/27 cup
3/10 cup
2/15 cup
1/36 cup
Answers
Answer:
10/27 cups
Step-by-step explanation:
y = how much flour is needed
set up proportion of water to flour equals water to flour
[tex]\frac{3/5}{2/3}[/tex] = [tex]\frac{1/3}{y}[/tex]
cross-multiply: 3/5 y = 2/9
multiply each side by the reciprocal of 3/5
5/3 · (3/5)y = 2/9 · (5/3)
y = 10/27
Answer: 10/27 cups flour.
Step-by-step explanation:
Compare fractions 3/5 and 1/3:
[tex]\dfrac{3}{5}=\dfrac{3 \times 3}{5 \times 3} =\dfrac{9}{15} \\\\ \dfrac{1}{3}=\dfrac{1 \times 5}{3 \times 5} =\dfrac{3}{15}\\\\\dfrac{3}{15} < \dfrac{9}{15}[/tex]
1/3 is less than 3/5 because 3/15 is less than 9/15.
Find how many times 1/3 is less than 3/5:
[tex]\dfrac{3}{5} \div \dfrac{1}{3} =\dfrac{3}{5} \times \dfrac{3}{1}=\dfrac{9}{5}[/tex]
This means that flour should also be taken 9/5 times less:
[tex]\dfrac{2}{3} \div \dfrac{9}{5} =\dfrac{2}{3} \times \dfrac{5}{9} =\dfrac{10}{27}[/tex]
Math. Help I really need this giving brainliest to the person with the correct answer, please explain your answer..
Answers
Answer:
It is A
Step-by-step explanation:
You have 4 muffins or 4m with a 2 dollar off coupon so therefore it is 4m-2
Answer:
4m-2
Step-by-step explanation:
The cost, m, is subtracted by 2. There are 4 muffins being bought, so the term would be 4m, making the equation 4m-2.
At Simon's Pet Store, 6% of the animals are lizards. What fraction of the animals are lizards?
Answers
Answer:
3/50
Step-by-step explanation:
Well according to the information we have the fraction would be
6/100 being 6% as 6/100
Then simplified is 3/50
hope this helps
Answer:
Step-by-step explanation:
6% = [tex]\frac{6}{100}[/tex]=[tex]\frac{3}{50}[/tex]
20 points !!!!!
Which of the following is a counterexample for the hypothesis "All parallelograms are rectangles"?
Answers
Answer:
The answer would be B
Step-by-step explanation:
A non-square rhombus. A non-square rhombus (also known as a rhombus) is different from a square with respect to its internal angles. Unlike a square, a non-square rhombus does not have all its internal angles equal to 90°. The number of lines of symmetry in a non-square rhombus is 2, whereas, a square has 4 lines of symmetry.
The required counterexample is rhombus for the given hypothesis "All parallelograms are rectangles" which is the correct answer would be option (B).
What is the hypothesis?In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population's parameter. Using sample data, hypothesis testing is performed to examine the plausibility of a theory.
A rhombus that isn't square. In terms of internal angles, a non-square rhombus (also known as a rhombus) differs from a square. A non-square rhombus, unlike a square, does not have all of its internal angles equal to 90°. A non-square rhombus has two lines of symmetry, whereas a square has four lines of symmetry.
Therefore, the required counterexample is rhombus for the given hypothesis "All parallelograms are rectangles"
Hence, the correct answer would be an option (B).
To learn more about the hypothesis here:
https://brainly.com/question/18064632
#SPJ6
Find the value of f(5) for the function. f(a) = 4(a + 4) - 3
Answers
Answer:
[tex]f(a) = 4(a + 4) - 3 = 4a + 16 - 3 \\ f(x) = 4a + 13 \\ f(5) = 4(5) + 13 = 20 + 13 \\ \boxed{f(5) = 33}[/tex]
33 is the right answer.EASY POINTS ASAP:
The table shows a function. Is he function linear or nonlinear ?
Answers
Help me please due in 40 minutes
Answers
Answer: x = -2
Step-by-step explanation:
5(3y -5) -4y = -14
15y - 25 - 4y = -14
11y - 25 = -14
11y = 11
y = 1
5x - 4(1) = -14
5x - 4 = -14
5x = -10
x = -2
Answer:
x = -2
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
( − 2 , 1 )
Equation Form:
x = − 2 , y = 1
what is the geomectric theory on the number system and how is was created
Answers
Answer:
b
Step-by-step explanation:
I got it right on the quiz
Answer:
It is 53
Step-by-step explanation:
I dont know
A puppy weighs 2 7/8 pounds. Carla feeds the puppy 3 ounces of food for each pound that the puppy weighs. How many ounces of food does Carla feed the puppy?
Answers
Answer:
8 5/8 ounces
Step-by-step explanation:
Given that:
Weight of puppy = 2 7/8 pounds
Puppy is being fed 3 ounces of food for each pound it weighs
Ounces of food being fed :
1 pound = 3 ounces
2 7/8 pounds =?
2 7/8 * 3
23/ 8 * 3
= 69/ 8
= 8 5/8 ounces
hiii please help if you can
Answers
Answer:
Correct choices: 2 and 4
Step-by-step explanation:
These two line segments have a positive slope.
Answer:
Choice B and D!
Step-by-step explanation:
Interval 2 goes up after going at a constant rate and interval 4 goes up from decreasing
Madeline has 19 coins in her backpack. Some are nickels and some are quarters. The total value of the coins is $2.15. How many nickels and quarters does she have?
Answers
Christopher got a raise, and his hourly wage increased from $12 to $15, What is the percent
increase?
Answers
15-12=3
3 / 12 = .4 x 100 = 40
Find the equation of a line that passes through (2,9) and is parallel to the graph of y=3x+5 Write the equation in slope-intercept form, if possible.
Answers
Answer:
y=3x+3
Step-by-step explanation:
9=3(2)+c
9=6+c
c=3
1
Solve the following:
x 100
+3= 19
x=
Answers
Answer:
x=4/25
or x=1.028114
or x= 128
Step-by-step explanation:
Answer:x= 128
Step-by-step explanation:
Subtract 3 from both sides of the equation /8+3=19
x/8+3=19
/8+3−3=19−3
Simplify
x/8=16
Multiply all terms by the same value to eliminate fraction denominators
8x x/8=8x16
Simplify
X=128
50 points !!!!!!!!!!!!!!!!! please help
I will give bairnleast
Answers
Answer:
3rd ome
Step-by-step explanation:
Answer:
The answer is a
Step-by-step explanation:
please I beg next time post a clear picture
the answers are not clear
Need this very badly
Answers
Answer:
a.) 94 cm^2
Step-by-step explanation:
3 x 4 = 12
5 x 3 = 15
4 x 5 = 20
12 + 12 + 15 + 15 + 20 + 20 = 94
Answer: 94 cm squared
Step-by-step explanation:
A subset of values of the function g(x) is shown in the following table.
Answers
Answer:
Option (4)
Step-by-step explanation:
x g(x) Ist difference IInd difference Ratio
1 13 - - -
2 3 3 - 13 = -10 - [tex]\frac{3}{13}[/tex]
3 -3 -3 - 3 = -6 -6 - (-10) = 4 [tex]\frac{-3}{3}=-1[/tex]
4 -5 -5 - (-3) = -2 -2 - (-6) = 4 [tex]\frac{-5}{-3}=\frac{5}{3}[/tex]
5 -3 -3 - (-5) = 2 2 - (-2) = 4 [tex]\frac{-3}{-5}=\frac{3}{5}[/tex]
This table depicts,
1). Ist difference is not common
2). IInd difference is common
3). Ratio is not common
Therefore, this table represents a quadratic function because the second difference are all the same value.
Option (4) will be the answer.
Graph AABC with vertices A(4,1),B(-2,3), and C(-1,1) and its image after the glide reflection.
Translation: (x,y) → (x - 5y+4)
Answers
Answer: A(-1,5)B(-7,7)C(-6,5)
Step-by-step explanation: the translation subtracts 5 from each x value and adds 4 to each y value.
what is -1.54166666667 as a fraction
Answers
9514 1404 393
Answer:
-37/24
Step-by-step explanation:
We know that 1/6 = 0.166666..., so 1.541666... = 1.54 + 1/600.
Your fraction is ...
-154/100 -1/600 = -925/600 = -37/24
Hannah took out a loan to buy a new car. She also used some money from a savings account when she bought the car. Hannah's loan was for $18,000 at 0% interest. Her monthly payment is $300 per month Which graph best models the relationship between the amount of money left to be paid on the loan and number of monthly payments ?
Answers
Answer: A
Step-by-step explanation: