HURRY WILL GIVE BRAINLIEST
Given: ABCD is a parallelogram.
Prove: AB CD and BC DA
Angles Segments Triangles Statements Reasons
Please make the answer clear
Answers
Drawing the diagonal [tex]\overline {AC}[/tex] of the parallelogram makes the proof of the
congruency of opposite sides of a parallelogram clearer.
[tex]\overline {AB}[/tex] ≅ [tex]\overline {CD}[/tex] and [tex]\overline {BC}[/tex] ≅ [tex]\overline {DA}[/tex] by ASA rule of congruency
Reasons:
The two column proof is presented as follows;
Statement [tex]{}[/tex] Reasons
ABCD is a parallelogram [tex]{}[/tex] Given
∠BAC ≅ ∠DCA [tex]{}[/tex] Alternate interior angles theorem
∠BCA ≅ ∠DAC [tex]{}[/tex] Alternate interior angles theorem
[tex]\overline {AC}[/tex] ≅ [tex]\overline {AC}[/tex] [tex]{}[/tex] Reflexive property
ΔABC ≅ ΔACD [tex]{}[/tex] ASA rule of congruency
[tex]\overline {AB}[/tex] ≅ [tex]\overline {CD}[/tex] [tex]{}[/tex] CPCTC
[tex]\overline {BC}[/tex] ≅ [tex]\overline {DA}[/tex] [tex]{}[/tex] CPCTC
Therefore, segment [tex]\overline {AB}[/tex] and segment [tex]\overline {CB}[/tex] in ΔABC are congruent to
segment [tex]\overline {CD}[/tex] and segment [tex]\overline {DA}[/tex] in ΔACD by Angle-Side-Angle, ASA, rule of
congruency.
CPCTC stands for Congruent Part of Congruent Triangle are Congruent
Learn more here:
Related Questions
7,270 place vaule whole number ?
Answers
Answer:
ThousandsHundredsTensOnes7270
Step-by-step explanation:
We want to compare the quality of three Tablet products: Tablet Product A has a Mean Time Between Failures (MTBF) 10,000 hours, and a Mean Time To Repair (MTTR) or 10 hours. Product B has a MTBF of 11,000 hours and a MTTR of 11 hours. Product C has a MTBF of 12,000 hours and MTTR of 12 hours. Which tablet has better Availability
Answers
Answer:
The Availability of tablets A,B and C are equal
Step-by-step explanation:
Computation for Which tablet has better Availability
Using this formula
Availability of Tablet=MTBF/ ( MTBF + MTTR)
Where,
MTBF represent Mean Time Between Failures
MTTR represent Mean Time To Repair
Let plug in the formula
Availability of Tablet A = 10,000hrs/(10,000hrs + 10hrs)
Availability of Tablet A= 0.999
Availability of tablet B = 11,000hrs/( 11,000hrs + 11hrs )
Availability of Tablet B= 0.999
Availability of Tablet C = 12,000hrs/ ( 12,000hrs + 12hrs)
Availability of Tablet C= 0.999
Based on the above calculation the Availability of all the 3 tablets are equal
Therefore the Availability of tablets A,B and C are equal.
The Farmers Market sells apples by the bushel, and each bushel of apples weighs 42 lbs. A bushel of large apples contains 84 apples. If a bushel of small apples contains twice as many apples as a bushel of large apples, how many small apples are in 1 lb of apples?
Megan purchased a bushel of apples from the Farmers Market that contained only large and small apples. There were exactly 129 apples in the bushel Megan purchased. Based on this and information from the previous problem, what is the positive difference between the number of large apples and the number of small apples in the bushel of apples Megan purchased?
Answers
(i dont know number 2)
Complete the slope-intercept form equation of the line with slope 9 that passes through the point (0,2)
Answers
Answer:
2=2
Step-by-step
Y=mx+b
2=9(0)+2
9 x 0=0
2=2
I hope I got it correct and helped you.
Can someone check This answer for me and tell me if it’s 7 or 6 PLEASE ASAP THX
Answers
Answer:
im pretty sure its 6
Step-by-step explanation:
Each big square below represents one whole.
-
What percent is represented by the shaded area?
%
Answers
The Answer Is most likely 191% but the proper percent is 95.5%
Find the number of five-digit numbers less than 40 000 in which the three-digit numbers formed by a consecutive digits are all divisible by either 17 or 23. Remember, zero cannot be the first digit in a three-digit number.
Please show grade 7 math work
Answers
Answer:
Following are the code to this questiuon:
def fiv(y):#defining a method fiv that hold a parameter
x = str(y) #defining a variable x that convert the value y in string
return three(x[0:3]) and three(x[1:4]) and three(x[2:5])#use return keyword to call the method three
def three(x): #defining a method three that hold x variable as a parameter
y = int(x) #use y to convert x in integer
return y>=100 and (y%17==0 or y%23==0) #use return that gives a value which is divisiable by 17 or 23
print([y for y in range(10000,40000) if fiv(y)])#use print method to print value
Output:
Please find the attached file.
Step-by-step explanation:
In the above code, two methods "fiv and three" is declared that accepts one variable as a parameter, which can be defined as follows:
In the fiv method, an "x" variable is defined that covert the value into a string and use to call the three methods.Inside the three methods, a y variable is declared, that convert the value into integer and use return keyword, that checks value is divisible by 17 or 23. In the print method, it accepts the given value, which is passed in the loop to print the value.Which expression is not equivalent to 36x−48? 12(3x−4) 9(4x−6) (6x−8)6 (12x−16)3
Answers
Answer:9(4x-6) is not equivalent to 36x-48.
Step-by-step explanation:
9 x 4x= 36x
9 x -6 = -54
Jewelry store buys a gold watch to sell the price of the watch is marked up 45% the store sells the watch for $2610 how much did the jewelry store pay for the watch
I put this as the answer 1174.50 and my teacher said I got the answer wrong
Answers
Answer:
$1435.50 is your answer
Step-by-step explanation:
$2610 - 45% = 1435.50
if angle 3 and angle 4 are corresponding angles, then their vertical angles are also corresponding angles
always sometimes or never
Answers
Explanation:
Drawing out a diagram usually helps with these types of problem. See the diagram below.
We have angle 3 and angle 4 as corresponding angles (since they are both in the north east corner of each four-corner configuration). Angle 1 = angle 3 is one pair of vertical angles and angle 2 = angle 4 is another pair of vertical angles. We see that angles 1 and 2 are corresponding angles in the south west corners of each four-corner configuration. That's why the original statement is always true.
Simplify 2•5^2 . Please
Help
Answers
Answer:50
Step-by-step explanation:
Answer: 50
Step-by-step explanation: according to pemdas you do exponets first so 5 over 2=5*5=25 then multiply by 2=25*2=50
Which equation represents the statement: Three times the sum of a number and 5 is -30
Answers
Answer:
Not 100 percent but im pretty sure it is 3(n+5)=-30 i found other sites saying its that its up to you if you wanna believe me
Step-by-step explanation:
What’s the value of the missing angle
Once again I’ll give brainliest
120,110,149, or 108
Answers
Answer:
The answer is 120
Find the value of x.
Answers
Answer:
The answer is 109 degrees.
Step-by-step explanation:
Any triangle's angles add up to 180 in total, so we can create the equation 64+45+__=180. Using some simple algebra we can change this equation into the equation 180-109=71. This solves the inner triangle, and the outside angle, x is supplementary (meaning it adds up to 180) to 71. 180-71 = 109.
Glad I could help!
16 x 0.2 please answer correct
Answers
Answer:
3.2
Step-by-step explanation:
Answer:
I believe it's 3.2!
The difference of 2 numbers is 2 and their product is 224. Find the numbers
Answers
Answer:
Step-by-step explanation:
12
Answer:
Step-by-step explanation:
The two numbers are 14 and 16 their product is 224 and their difference is 2
What is (1 +i)5?
-4-4i
-4+4i
4-4i
4+4i
Answers
Answer:
It's -4 -4i
Step-by-step explanation:
Because it is
A
-4-4i
For the person that commented. the 5 is an exponent.
5 1/5 - 5/12 ÷ (1/6 × 2/3)=
Answers
Answer:
47.8
Step-by-step explanation:
What you want to do first is 5 1/5 - 5/12 which is 4.78,
then 1/6 x 2/3, which is 0.1,
then you do 4.78 divided by 0.1, which is 47.8
Suppose 56V% of politicians are lawyers. If a random sample of size 787787 is selected, what is the probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by greater than 4%4%
Answers
Answer: 0.0238
Step-by-step explanation:
Given : Proportion of politicians are lawyers: p= 0.56
Sample size : n= 787
Let [tex]\hat{p}[/tex] be th sample proportion.
The the probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by greater than 4% will be :-
[tex]P(|\hat{p}-0.56|>0.04)=P(-0.04>\hat{p}-0.56>0.04)=\\\\ P(-0.04+0.56>\hat{p}>0.04+0.56)\\\\=P(0.52>\hat{p}>0.60)\\\\=P(\dfrac{0.52-0.56}{\sqrt{\dfrac{0.56(1-0.56)}{787}}}>\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.60-0.56}{\sqrt{\dfrac{0.56(1-0.56)}{787}}})\\\\=P(-2.26>z>2.26)\ \ \ [Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]\\\\=1-P(-2.26<z<2.26)\\\\=1-(2P(Z > 2.26)-1)\ \ \ [P(-z<Z<z)=2P(Z > |z|)-1]\\\ =2-2P(Z > 2.26)\\\\=2-2(0.9881)=0.0238[/tex]
Hence, the required probability = 0.0238
Add (2m^2n + 5mn^2 - 7mn) ; (2m^2n - mn^2 + mn
Answers
Answer:
Step-by-step explanation:
(3m+2n)/(m-n2)+(5m+n)/(n-m2)-(2m-3n)/(m2-n)
Final result :
-3m3 - 2m2n + 7m2 - 7mn2 + mn + 2n3 + 2n2
—————————————————————————————————————————
(m - n2) • (n - m2)
Step by step solution :
Step 1 :
2m - 3n
Simplify ———————
m2 - n
Trying to factor as a Difference of Squares :
1.1 Factoring: m2 - n
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : m2 is the square of m1
Check : n1 is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squares
Equation at the end of step 1 :
(3m+2n) (5m+n) (2m-3n)
(————————+————————)-———————
(m-(n2)) (n-(m2)) m2-n
Step 2 :
5m + n
Simplify ——————
n - m2
Trying to factor as a Difference of Squares :
2.1 Factoring: n - m2
Check : n1 is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squares
Equation at the end of step 2 :
(3m+2n) (5m+n) (2m-3n)
(————————+——————)-———————
(m-(n2)) n-m2 m2-n
Step 3 :
3m + 2n
Simplify ———————
m - n2
Trying to factor as a Difference of Squares :
3.1 Factoring: m - n2
Check : m1 is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squares
Equation at the end of step 3 :
(3m + 2n) (5m + n) (2m - 3n)
(————————— + ————————) - —————————
m - n2 n - m2 m2 - n
Step 4 :
Calculating the Least Common Multiple :
4.1 Find the Least Common Multiple
The left denominator is : m-n2
The right denominator is : n-m2
Number of times each Algebraic Factor
appears in the factorization of:
Algebraic
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
m-n2 1 0 1
n-m2 0 1 1
Least Common Multiple:
(m-n2) • (n-m2)
Calculating Multipliers :
4.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = n-m2
Right_M = L.C.M / R_Deno = m-n2
Given a quadratic function that is reflected across the
1
X-axis, vertically compressed by a factor of shifted
3
3 units to the right, and 2 units down, write the equation
of this quadratic function in vertex form.
Answers
Answer:
y=1/3 x2
Step-by-step explanation:
Suppose x^2+ y^3 = 2. Find dy /dx
Answers
dy/dx=2x/3y^2
Differient each term with respect to x, then solve for y.
What is so important about points?
Answers
Answer:
What do you mean ?? Say it clearly I really want to help you.
Solve for the missing variables.
x= ?
y= ?
Answers
So, the whole triangle = 180
You already have 110
180-110=70
70 divided by 2= 35
So, x and y are both 35
Have a great day!
Solve it please I need help
Answers
2a. 1 2 4 5 20
1b. 3 39
2b. 5 7
Write the equation for a line that passes through (5,-4) and is perpendicular to the
linear function 2x - 10y = 0
Answers
Answer:
y = -5x -24
Step-by-step explanation:
Given parameters:
Coordinates of the line = (5, - 4)
Linear function ;
2x - 10y = 0
Solution:
The equation of the line perpendicular to this line will have a slope that is the a negative inverse of the given line;
2x - 10y = 0
Equation of a line is given as;
y = mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
We find the slope and y-intercept of the new line;
From: 2x - 10y = 0
Rewrite;
-10y = -2x
y = [tex]\frac{-2}{-10}[/tex]x
y = [tex]\frac{1}{5}[/tex]x
The slope of this line is [tex]\frac{1}{5}[/tex] , the line perpendicular will have slope of -5
For the new line;
y = mx + c
let us find c;
-4 = -5( -4) + c
-4 = 20 + c
c = -20 - 4
c = -24
The equation of the perpendicular line is;
y = -5x -24
Number of Customers
The scatter plot shows the relationship between the average
number of nightly customers and the number of months since a
restaurant opened. The equation represents the linear model for
this data
300
270-
240-
y = 5x + 120
210-
180
What does the number 5 in the equation mean in this context?
Average nightly customers
150
O The restaurant has been open for 5 months
.
120
The average number of customers per night
increased by 5 each month
90
60
There were 5 customers per night when the
restaurant opened
30
O
There were 5 customers per month after the
restaurant was open 120 months.
8
9
10
Time (months)
For every 5 months the restaurant has been open,
there are 120 more customers per night
Answers
Answer:
The average number of customers per night increased by 5 each month.
Step-by-step explanation:
hope this helps! :)
Which shows the greatest common factor of these numbers being 14?
Answers
Answer:
of what numbers
Step-by-step explanation:
Answer:
The answer is b
Step-by-step explanation:
The reason it is b is because i just did the question and it was right
Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 5 liters of natural oil for every 8 liters of synthetic oil. In order to make 884liters of Petrolyn oil, how many liters of natural oil are needed?
Answers
9514 1404 393
Answer:
340
Step-by-step explanation:
The ratio of natural to synthetic is give as ...
5 : 8
Then the ratio of natural to total would be ...
5 : (5+8) = 5 : 13
The amount of natural oil in 884 total liters of oil will be ...
(5/13)(884 L) = 340 L
884 liters of Petrolyn oil will contain 340 liters of natural oil.
Answer:
340
Step-by-step explanation:
Hope I helped
Find each percent of change. Round to the nearest whole percent if necessary. State whether the percent of change is an increase or descrease.
1. Zach boought a pair of jeans for $54. The next week he noticed that the price for the same pair of jeans was now $74. Find the percent of change
2. 40 to 25
3. 120 to 140
Answers
Answer:
>
Step-by-step explanation: