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.
how will rational numbers help in future
Answer:
They are used to share something among friends , Like if there are four friends and they want to divide a cake equally among themselves , then the quantity of cake that each friend will get will be one-fourth of the cake , That is a rational number 1/4.
Step-by-step explanation:
short answer it won't trust me
Which calculation will ALWAYS give a result greater than 1? A.8/9 × a number less than 1 B.1 2/5 − a fraction less than 25 C. 7 × a number less than 1 D.3/7 + a fraction less than 1/2
Answer: B.1 2/5 − a fraction less than 2/5
Step-by-step explanation:
Question was not formatted properly and in the proper format, the above is the answer.
1²/₅ - ²/₅ = 1
Any number therefore that is lower than ²/₅ will when subtracted from 1²/₅ give an answer greater than 1 because when ²/₅ was subtracted from 1²/₅, it gave 1 as an answer.
What’s the commutative property of addition ?
Answer:
Its when you just swthc your thingy
Step-by-step explanation:
2+4=6
turns into
4+2=6
Answer:
When it is opposite
Step-by-step explanation:
In AGHI, h = 300 inches, ZG=30° and ZH=29º. Find the length of i, to
the nearest inch.
Find the volume of the cube in inches3 below. Then select the correct units
when entering your answer.
7 in.
7 in.
7 in
Answer here
cu. cm
cu, in
sq. in
Answer:
21 cubic inches (or cu. in)
Step-by-step explanation: Multiply 7 by three
What is 4.4% of 625?
Answer:
27.5
Step-by-step explanation:
Answer:
Answer: 27.5 and your welcome!!
A car travels 2 5/8 miles in 3 1/2 minutes at a constant speed. How far did the car travel in 5 minutes?
Answer:
3.75 as a decimal
Step-by-step explanation:
What’s the answer? QUICK
Answer:
Step-by-step explanation:
4 and 1/6
Please I need help math
Answer
y=4
y=2x-1
Step-by-step explanation:
Y is the vertical axis
What is the value of y in the solution to the following system of equations?
2x + y = -4
5x + 3y = -6
y= -32
Step-by-step explanation:
step 1: from the first equation you will make X the subject of formula, the equation then becomes;
X= 4-y
2
step 2: substitute X in the second equation, the equation then becomes 5 * [4-y] + 3y = -6
[ 2]
step 3: find the LCM and then cross multiply; 20-5y+6y = -6
2
20+y = -12
y= -12-20
y= -32
Enter your answer and show all the steps that you use to solve this problem in
the space provided.
The two figures shown above are congruent. Identify the corresponding sides and
angles.
Answer:
Step-by-step explanation:
they're the same figure but turned 90 deg
congruent sides:
AD and RQ
BA and SR
BC and SP
PQ and CD
congruent angles:
D and Q
R and A
B and S
C and P
haven't done this in a minute sorry if this is wrong
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?
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
Solve for X.
x+3
4
8
Answer:
First find the hypotenuse of the small triangle then use that value as the base of the upper triangle. Evaluate the equation formed with the “x"
Will Mark Brainliest
Solve each system by elimination. Show your work
3х – 10 y = 14
3х – 9y = 15
Answer:
subtracting both equations
3x-10y=14
3x-9y=15
- - =-
_________
0-y=-1
y=1
then putting the value of y in first eqn
3x-10×1=14
3x=24
x=8
so x is 8and y is 1
Factor each polynomial: 9x-6
Answer:
3(3x−2)
Step-by-step explanation:
2. Express each of the following as a rational number in the form of p/q
Where q≠0
Step-by-step explanation:
We need to find each of the following as a rational number in the form of p/q
(a) (3/7)² (b) (7/9)³ (c) (-2/3)⁴
Solution,
(a) (3/7)²
[tex](\dfrac{3}{7})^2=\dfrac{9}{49}[/tex]
(b) (7/9)³
[tex](\dfrac{7}{9})^3=\dfrac{7\times 7\times 7}{9\times 9\times 9}\\\\=\dfrac{343}{729}[/tex]
(c) (-2/3)⁴
[tex](\dfrac{-2}{3})^4=\dfrac{-2\times -2\times -2\times -2}{3\times 3\times 3\times 3}\\\\=\dfrac{16}{81}[/tex]
Hence, this is the required solution.
heres what i needed help on
Answer:
1. 6000
2. 40.83%
3. 51.67%
4. misc
Step-by-step explanation:
1 add all the numbers together
2 divide payroll amt by entire amt
3 add the rent and inventory then divide by total spent in the month
4 300/6000= .5 ( which in percent form( multiply by 100) equals 5%)
find the base (picture attached)
Answer:
12 yd
Step-by-step explanation:
yo yo yo hi hi hi hi hi
so b*h=96
so 8b=96
b=12
Will mark as brainliest
Answer:
p = 1
Step-by-step explanation:
Δ JKH ≅ Δ JIH
therefore KJ corresponds with IJ so you can set both sides equal to each other
10p = p+9
9p = 9
p = 1
Solve the following proportion for u.
3/17 = u/13
Answer:
2.294117647
Step-by-step explanation:
3/17 = u/13
Cross multiply:
3 * 13 = 17 * u
Simplifying
3 * 13 = 17 * u
Multiply 3 * 13
39 = 17 * u
Solving
39 = 17u
Move all terms containing u to the left, all other terms to the right.
Add '-17u' to each side of the equation.
39 + -17u = 17u + -17u
Combine like terms: 17u + -17u = 0
39 + -17u = 0
Add '-39' to each side of the equation.
39 + -39 + -17u = 0 + -39
Combine like terms: 39 + -39 = 0
0 + -17u = 0 + -39
-17u = 0 + -39
Combine like terms: 0 + -39 = -39
-17u = -39
Divide each side by '-17'.
u = 2
Simplifying
u = 2.294117647
Explain ASAP PLEASE!!!!!!
Answer:
C
Step-by-step explanation:
you can make a right triangle from the center of one base to the edge of that circle, and then up to a point on the circumference of the other base
the bases of the triangle would be 2 and 5
so that gives sqrrt 29
The table below shows the number of peaches and cups of water used to make fruit punch according to a certain recipe. Peaches Water (cups) 64 96 56 84 How many cups of water are needed for every 1 peach? Note: Your answer may be exact or rounded to the nearest hundredth. label optional
Answer:
fhyedGFYUSEGCFUEGFCYU
Step-by-step explanation:
pay back
Work out the area of this circle with radius 11.2 take pie to be 3.142 and give your answer to 2 decimal places
Answer:
394.13 to 2 D.P.s
Step-by-step explanation:
Area = pi r^2
= 3.142 * 11.2^2
= 394.132.
The area of this circle up to 2 decimal places will be 394.13 square units.
What is the area of the circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let r be the radius of the circle. Then the area of the circle will be
A = πr² square units
The radius of the circle is 11.2 units and takes π to be 3.142. Then the area is given as,
A = π x (11.2)²
A = 3.142 x 125.44
A = 394.13 square units
The area of this circle up to 2 decimal places will be 394.13 square units.
More about the area of a circle link is given below.
https://brainly.com/question/11952845
#SPJ5
Could you help me on this, I need to submit soon as well :)
Answer:
6
Step-by-step explanation:
Answer: 9
Step-by-step explanation:
What is 3 2/3 + 4 3/4 equal to
Answer:
7 2/3 is the answer but it is equal to 23/3.
Step-by-step explanation
23/3 is an improper fraction. I hope this helps you!
What is standard deviation for 110 120 120 130 140 140 150 160 160 170
Answer:
Standard Deviation (cont’d)Weights(pounds):110 120 130 140 150 150 160 170 180 190Deviation scores(x) forM = 150:-40 -30 -20 -10 0 0 10 20 30 40 Squared deviation scores(x2):1600 900 400 100 0 0 100 400 900 1600Sum of squared deviation scores:1600+900+400+100+0+0+100+400+900+1600 = 6000SD= √(6000/(N-1) = SD= √(6000/(9) = 25.82Standard Deviation Interpretation•Provides a “standard”—the SDindicates the average amount of deviation of scoresfrom the mean•Tells you how wrong, on average, the mean is•An SDprovides valuable information when the distribution is normal:–There are approximately three SDsabove and below the meanin a normal distribution•In a normal distribution, a fixed percentage of cases lie within certain distances from themeanSDs and Individual Scores•A person who scores one SDbelow the mean has a higher score than 16% of the cases (2.3% + 13.6%)•A person who scores one SDabove the mean has a higher score than 84% of the cases (50.0% + 34.1%)Example: Midterm marks:
Solve.
3.5 x (5.8 - 7.09) =
Answer:
-4.515
Step-by-step explanation:
3.5 times 5.8 is 20.3 and then 3.5 times -7.09 is -24.815 added together to get -4.815 so technically its none of those but they might have miss typed so i think probably -4.515
What is the simplest form of this expression?
-x(4x2 - 6x + 1)
Answer:
−4x3+6x2−x
Step-by-step explanation:
(−x)(4x2−6x+1)
=(−x)(4x2+−6x+1)
=(−x)(4x2)+(−x)(−6x)+(−x)(1)
=−4x3+6x2−x
What is 14 x 14 x 14 is exponet form
Answer:
14^3
Step-by-step explanation:
A group of seven friends went out for dinner together and they each paid the same amount for their meal. Their total bill was $68.95 what was the cost of one meal
Please answer I really need it <3
Answer:
9.85
Step-by-step explanation:
$68.95 Divided by seven friends = 9.85
You're Welcome :D