What could be shown about the diagonals of parallelogram PQRS to compare the proof that diagonals of a parallelogram bisect each other?
Answers
Answer:
C. PR and SQ have the same midpoing
Step-by-step explanation:
The theorems that could be shown hat the diagonals of parallelogram PQRS bisect each other are explained below.
Let the point where the diagonals intersect be called Point T.Now, looking at the parallelogram, we can say that;
∠QPT = ∠SRT (This is because the alternate angles between 2 parallel lines are always equal)
Secondly, ∠PQT= ∠RST.This is This is because the alternate angles between 2 parallel lines are always equal.
Thirdly; ∠PTQ=∠RTSThis is because they are vertically opposite angles.
Now, from AAA congruence theorem, we can say that;△PTQ is congruent to △RTS.
Thus, we can say that;
PT = RT and QT = ST
This proves that they bisect each other.
Read more at; https://brainly.com/question/15140032
Related Questions
The radius of the circle is 13 what’s the diameter
Answers
Answer:
d = 26
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASGeometry
Diameter: d = 2rStep-by-step explanation:
Step 1: Define
Radius r = 13
Step 2: Find diameter
Substitute: d = 2(13)Multiply: d = 26Solve for x: 5x + 15 = 28 forty-three over five thirteen over five 13 43
Answers
Answer:
B
Step-by-step explanation:
i took the test and got it right
Ina crespo rowed 7.5 miles down the Hanbashabee river in 1.5 hours ,but the return trip took her 2.5 hours.find the rate ina rows in still water and the rate of the current.
Answers
Answer:
rate of current=1 mph
Step-by-step explanation:
carpenter charges $45 for every 50 feet of fence he builds plus a travel charge of $37.50.
Answers
Answer:
350 feet
Step-by-step explanation:
352.50 - 37.50= 315
315 ÷ 45 = 7
7 × 50 = 350
will give brainliest!!!! The value of the 5 in the number 594,631 is how many times larger than the value of the 5 in the number 859,463? *
Answers
Answer:
It's 10 times larger.
Step-by-step explanation:
If you just have 500,000, and the other one is 50,000, That means 50,000 x 10 is 500,000.
Please help fast!! Is this a function?
Answers
Answer:
It's not a function..
Step-by-step explanation:
Just take a look at it.
what did u studied about functions before doing this type of problem in math?
Does it look like it? no.
Answer:
That looks very hard .. sorry :(
Step-by-step explanation:
for the below question assume no duplicated units are allowed all the answers for a 5 question multiple choice test are a b c d find the number of possible answer keys a teacher could have
Answers
Answer:
4
Step-by-step explanation:
1 2 3 4 so 4 because 4 is the last number before 5
A customer buys a table on hire purchase.he makes a deposit of $306 and pays six monthly installments of $60 each. The TOTAL cost to the customer is
Answers
Answer: $666
Step-by-step explanation:
Deposit $306
Monthly payment $60 * 6 = 360
$306 + $360 = $666
What is the answer to this ?
Answers
Answer:
the missing angle is 5m
Step-by-step explanation:
Answer:
Ah yes, Pearson lol. It should be 4 or 5 m.
Step-by-step explanation:
Hope this helps :)
Mr. Wong was born in 1934. In what year was Mr. Wong 48 years old?
Answers
Answer:
1886 i think thats right if you do the math
Step-by-step explanation:
PLZ HELP!!!!! WILL MARK BRAINLEST IF CORRECT!
Answers
Answer:
Its a+10
Step-by-step explanation:
Answer:
10 + a or a + 10, depending on multiple choice, or writing
Step-by-step explanation:
2 + 8 = 10
10 + a
detailed:
find like terms 8 and 2 = 10
plot the a 10 + a
Evaluate with the given values
Answers
there is only three options someone help
Answers
Answer:
Answer is Option 2
Step-by-step explanation:
Triangles equal to 180 degrees in total. So it is 55+54+x+74=180
The simplified version that I just wrote is Option 2
which number are composite numbers-49,35,32,41,47
Answers
Answer:
49, 35, 32
Step-by-step explanation:
A prime number is a number whose factors are 1 and itself
Eg 7
7 is a prime number because it only comes in table one and 7
Or it’s only factors are 1 and itself
A composite number comes in 1, itself and other tables
Eg. 16
It comes in table 1, 2, 4 and 16
Answer: 49,32,35.
Hope this helps!
find the length of the missing sides round answers to the nearest tenth
Answers
Answer:
x= 9.37
y = 17.69
Step-by-step explanation:
in order to find the answer, use the trigonometries.
First finding x which is tan(32) = x/15
x = tan(32)15
and Y is cos(32) = 15/y
y = 15/cos(32)
I hope this helps
Simplify 45a²b
__________
30AB
Answers
Answer:
15ab
Step-by-step explanation:
if the AB is capital on purpose then its 15a^2b over AB
nothing nothing nothing nothing
Answers
Answer:
nothing nothing nothing nothing
Step-by-step explanation:
nothing nothing nothing nothing nothing nothing nothing nothing
stream positons by ariana grande <3
is 3 months enough time to complete 300 assignments? my school is online and requires you to complete a certain amount of assignments each semester.
Answers
Answer:
ya if you do 3 a day
Step-by-step explanation:
Answer:
yes it is enough time you would have to do 25 assignments aweek
Step-by-step explanation:
please help need assistance
Answers
Answer:
18
Step-by-step explanation:
Keep in mind that anything with a subscript of 0 always comes out as a 1
16(1)+2(2)²(4⁻¹)
= 16+8(4⁻¹)
=16 + 8(1/4)
=16+2
=18
Hope this helps! :)
Samantha invested $50,000 in an account paying an interest rate of 4.1% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 8 years?
Answers
Answer:
$69,408.17 = $69,410 rounded
Step-by-step explanation:
Final investment value
$69,408.17
Total interest earned
$19,408.17
Initial balance
$50,000.00
Total monthly deposits
$0.00
Effective Annual Rate (APY)
4.185%
The formula used in the compound interest calculator is A = P(1+r/n)^(nt)
A = the future value of the investment
P = the principal investment amount
r = the interest rate (decimal)
n = the number of times that interest is compounded per period
t = the number of periods the money is invested for
Write in slope intercept form an equation of the line that passes through the given points. (0,4) (4,8) and (-2,3) (-4,4)
Answers
Answer:
y = 1.25x+4
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
Substitute Values for one set of coordinates. I used (0,4) and (4,8)
Once you have derived what m is equal too, put it into your slope intercept form: y=mx+b
y=1.25x+b
b would be equal to 4 in this case (sorry i don't have enough time to explain why, but it is 4)
The final answer is y = 1.25x+4
Question: Using only reciprocal, Pythagorean, sum/difference, and/or half angle identities, prove the equation below. You must use angles A and B, do not replace with actual vales. Only work with the right side of the equation. You should use TEN steps to accomplish this proof! cosA+cosB= 2cos(A+B/2)cos(A-B/2)
Answers
Answer:
See explanation below
Step-by-step explanation:
Recall the identity for the cosine of an addition of angles:
[tex]cos(\theta+\gamma)= cos(\theta)*cos(\gamma)- sin(\theta)*sin(\gamma)[/tex]
and that for a subtraction of angles:
[tex]cos(\theta-\gamma)= cos(\theta)*cos(\gamma)+sin(\theta)*sin(\gamma)[/tex]
Now, use the property of addition of angles above to write :
[tex]cos(\frac{A+B}{2} +\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]
but since : [tex]\frac{A+B}{2} +\frac{A-B}{2}= A[/tex]
Then the cosine of addition of angles above can be written as:
[tex]cos(\frac{A+B}{2} +\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\cos(A)=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]
We do something similar now with the cosine of the subtraction of angles:
[tex]cos(\frac{A+B}{2} -\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]
and we notice that: [tex]\frac{A+B}{2} -\frac{A-B}{2}= B[/tex]
Then the cosine of subtraction of angles above can be written as:
[tex]cos(\frac{A+B}{2} -\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\cos(B )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]
and finally, we add term by term the expressions we got for cos (A) and for cos(B) and notice that the terms that contain the sine functions cancel each other because they have opposite signs, while the terms in cosine add up to double themselves:
[tex]cos(A )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\+\\cos(B )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\=\\cos(A) +cos(B)=2\,cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )[/tex]
which is what we wanted to prove.
What is 2÷1/7 equal to
A 14
B 7
C 7/2
D 15/7
E 2/7
Answers
Answer:
14! So a
Step-by-step explanation:
Answer:
aaaaaaaaa
Step-by-step explanation:
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To find the quotient of 4 divided by 1/5 multuply 4 by
Answers
5 is the answer
Answer:
There is not enough information for me to solve what you want solved.
Step-by-step explanation:
Sorry
Regression Project: Find the Profit Model
Annual Widget Production x (widgets) Annual Total Cost c($)
10 609
20 1105
30 1523
40 2150
50 2603
60 3121
70 3672
80 4103
90 4601
100 5214
Recall that profit can be computed in terms of revenue and cost. Assume that the annual widget sales match the annual widget demand and annual widget production. Construct a model for profit using the models for revenue and cost that you found in the Revenue and Cost sections. Find the model for profit P ( x ), where P ( x ) is the total annual profit in dollars for x widgets sold, and write it as P ( x ) = a x 2 + b x + c. Note: You are using the fact that P ( x ) = R ( x ) − C ( x ), not creating a table of data.
value of a. -0.956
value of b. 106.2
value of c. ???????????????????? It is not 0, 73.4, 124.2, 104.87, 157, 50.8 I've tried all of these
Answers
Answer:
value of c is -73.4
Step-by-step explanation:
When you subtract revenue from cost the Profit model becomes
P(x)= -0.956x^2 + 106.2x - 73.4
Replace the a , b , c , and d with the dighits 2,4,6,8 to form the greatest product. Each digit can only be used once. Explain your substitutions.
a0b
x c d
--------------------------
Answers
Answer:
2x4x6x8
Step-by-step explanation:
each one can only be used once so its only possible for 2x4x6x8
Solve five ninths plus four sixths. Answer this and ill give brainliest
Answers
Answer:
Step-by-step explanation:
(Decimal: 1.222222)
The three perpendicular bisectors of the sides of AABC intersect at point G. Point G is the
A)
centroid.
B)
circumcenter.
C)
incenter:
D)
orthocenter.
Answers
Answer: Circumcenter
Step-by-step explanation:
Please view the photo below for proof that it is accurate.
sergio must ride 7.5 miles in 1/4 hour to achieve this target speed, so he needs to ride an additional ____ mile per 1/4 hour
Answers
Answer: 7.0
Step-by-step explanation:
sergio must ride 7.5 miles in 1/4 hour to achieve this target speed so he needs to ride an addititonal 9.8 mile per1/4 hour
Answer:
30 mph
Step-by-step explanation:
since it is 1/4 you would multply 7.5 times 4, which adds up to 30.
Tim has a collection of model cars and boats.he has 3 cars for every 2 boat. He has a total of 12 boats.
Answers
Answer:
18 cars
Step-by-step explanation:
6 times 2= 12 boats
3 times 6= 18 cars
Hopefully this helps!
Answer:
He has 36 cars if there are 12 boats
Step-by-step explanation:
If he has 3 cars for every 2 boats he has then he would have 36 cars. You multiply 12 and 3 to get 36.