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.
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Related Questions
A taxi ride costs $4, plus an additional $3 per mile (X). You paid the taxi driver $16 after riding in the taxi for x
number of miles. How many miles did you ride in the taxi?
Help please
Answers
Answer:
4 miles
Step-by-step explanation:
Answer:
4 miles
Step-by-step explanation:
4 + 3x = 16 16 - 4 = 12 / 3 = 4
The mean volume for a bottle of cologne is 4 ounces and the standard deviation is 0.22 ounces. A random sample of 121 bottles is taken. What is the probability of obtaining a sample mean within 0.04 ounces of the population mean?
a. 0.9545
b. 0.0363
c. 0.3085
d. 0.5000
Answers
Answer:
The standard error of the mean is 0.02
Step-by-step explanation:
Here, we want to calculate the standard error of the mean.
Mathematically;
standard error of mean = SD/ √n
where SD is the standard deviation and n is the number of samples
From the question, SD = 0.22 and n = 121
Inserting this into the equation
Standard error of the mean = 0.22/√121
= 0.22/11 = 0.02
The probability of obtaining a sample mean is "0.9545".
According to the question,
Mean,
[tex]\mu = 4[/tex]
Standard deviation,
[tex]\sigma = 0.22[/tex]
Random sample,
[tex]n = 121[/tex]
By Central limit theorem,
→ [tex]\bar {x} \sim (4, \frac{0.22}{\sqrt{121} } )[/tex]
[tex]= 0.2[/tex]
Now,
→ [tex]P(|\bar{x} - \mu| \ \alpha \ 0.04) = P(-0.04 \ \alpha \ \bar{x} - \mu \ \alpha \ 0.04)[/tex]
[tex]= P(\frac{-0.04}{0.02} \ \alpha \ z \ \alpha \ \frac{0.04}{0.02} )[/tex]
[tex]= P(-2 \ \alpha \ z \ \alpha \ 2)[/tex]
[tex]= 0.9545[/tex]
Thus the above response i.e., "option a" is appropriate.
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Please help will put brainliest
Answers
Answer:
7x - 8y = -23
Slope = 1.750/2.000 = 0.875
x - intercept = -23/7 = 3.28571
y - intercept = 23/8 = 2.87500
7x - 7y = -14
Slope = 1
x - intercept = -2/1 = -2.00000
y - intercept = 2/1 = 2.00000
A car sold from a dealership is 25,700 if the sales person receives 1.5% commission on the price of the car how much commission is made on average per car sold
Answers
Answer:
385.50
Step-by-step explanation:
Can someone answer this quickly please
Answers
Answer:
3/x
Step-by-step explanation:
it just is
Which is the constant of proportionality for the relationship shown in the table?
Answers
Answer:
b
Step-by-step explanation:
PLEASE HELP ME ITS URGENT
Just the first one
Answers
Answer:
m=-1/3
Step-by-step explanation:
Given that 8x−5y=24
Find y when x=−6
Give your answer as an improper fraction in its simplest form.
Answers
Answer:
y = - [tex]\frac{72}{5}[/tex]
Step-by-step explanation:
Plug x = -6 into the given equation : 8(-6)−5y=24Multiply the numbers: -48 - 5y = 24Move the constant to the right-hand side and change its sign: -5y = 24 +48Add the numbers: -5y = 72Divied both sides of the equation by -5 : y = - [tex]\frac{72}{5}[/tex]How are rates ratios and proportions used in careers in the medical field
Answers
Answer:
Ratios and Proportions
Nurses do not prescribe medicine, but they administer medication to their patients. When doing so, they use ratios and proportions to help them. ... The ratios and proportions also allow the nurse to know how long the medication will stay in the body of the patient before needing another dosage.
Step-by-step explanation:
Answer:
they are used for comparing data
Step-by-step explanation:
even im the medical feild, mathematics is an impeccable way to explain phenomenons... by using mathematical formulas ratios and fraction, data can be communicated easier and help it to be easier to understand
The math club is having a car wash to raise funds to attend a state competition. They need to raise a minimum of $325.00. The cost of supplies for the car wash is $25.00. If they expect 40 cars on the day of the car wash, what is the amount they will have to charge each car to meet the minimum goal?
Answers
Answer:
8.75
Step-by-step explanation:
the formula to use would be:
$325 = 40x - 25
add 25 to both sides of the equation to get:
$350 = 40x
divide both sides by 40 to get:
x = 350/40 = $8.75
if they charge $8.75 per car, they will raise 40 * that for a total of $350.
they would then subtract the $25 for the cost of the supplies and they would be left with $325.
that's their minimum goal.
Answer:
8.75
Step-by-step explanation:
Alex is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal
Answers
Answer:
here
Step-by-step explanation:
Alex is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal to 180°. ... Triangle PQR has vertex P on line n and vertices Q and R on line m. Angle QPR is 80 degrees. Segment PQ makes 40 degrees angle with line n and segment PR makes 60 degrees angle with line n.
Answer:
Angle PQR measures 40 degrees
Step-by-step explanation:
No explanation took the test got it right.
Little late but, oh well, better late than never.
(5x + 4) + (-8x - 2)
Answers
Answer:
-3x + 2
Step-by-step explanation:
(5x + 4) + (-8x - 2)
= 5x + 4 -8x - 2
combine like terms
-3x + 2
Given the following two equations determine if they are parallel, perpendicular, or neither.
3x + 6y = 30
4y + 2x = 9
Please show work!
Answers
Answer:
Parallel
Step-by-step explanation:
What you want to do first is to put both equations into the slope intercept form: y=mx+b.
In the first equation, you move the [tex]3x[/tex] to the right side of the equal sign by subtracting on both sides:
[tex]6y = -3x + 30[/tex]
Then you want to divide both sides by 6 to isolate y:
[tex]y = -\frac{1}{2}x + 5[/tex]
Next for the second equation, you do similar steps. You subtract [tex]2x[/tex] from both sides:
[tex]4y=-2x+9[/tex]
Then you want to divide both sides by '4' to isolate y:
[tex]y= -\frac{1}{2}x+\frac{9}{4}[/tex]
Now to check if the two equations are parallel, perpendicular, or neither, you compare the slopes 'm' which is the coefficient next 'x'. If two equations have the same slope, then they are parallel. If the slopes multiplied equal -1, then they are perpendicular. If the slopes are not the same or if the product of the slopes is not -1, then it is neither.
In the case of this problem, the slopes are the same, so the equations are parallel:
[tex]-\frac{1}{2} = -\frac{1}{2}[/tex]
Give answer please
Water bottles are sold in cases of 24. Select the TWO expressions that can represent the total number of water bottles in c cases
Options:
24 X c,
24 ÷ c,
24 + c,
24 - c,
24c
Answers
Answer:
24c
Step-by-step explanation:
First off, we know what in each case there are 24 bottles. So if we have c crates and want to know the water bottles inside them, we need to multiply 24 by c resulting in 24c or 24 x c.
If the Constant of Proportionality between X and Y is 12, which equation represents their relationship?
Answers
Answer:
y=12x 12=k k=constant of Proportionality
Step-by-step explanation:
Help with this problem (20 points)
Answers
Answer:
what problem? i dont see it
helpppp it’s my friends birthday
Answers
there you go
In the diagram below of triangle TUV, W is a midpoint of TU and X is a midpoint
of UV. IfWX = 23 – 2x, and TV = 64 – 10x, what is the measure of TV?
А.
W
T
V
Answer:
Submit Answer
Answers
Answer:
[tex] TV = 34 [/tex]
Step-by-step explanation:
WX = 23 – 2x,
TV = 64 – 10x,
First, create an equation you will use to find the value of x.
Thus:
[tex] WX = \frac{1}{2}(TV) [/tex] (midsegment theorem of a ∆)
[tex] 23 - 2x = \frac{1}{2}(64 - 10x) [/tex] (substitution)
[tex] 23 - 2x = \frac{1}{2}(64 - 10x) [/tex]
Multiply both sides by 2
[tex] (23 - 2x)*2 = \frac{1}{2}(64 - 10x)*2 [/tex]
[tex] 46 - 4x = 64 - 10x [/tex]
Collect like terms
[tex] 46 - 64= 4x - 10x [/tex]
[tex] -18= -6x [/tex]
Divide both sides by -6
[tex] 3 = x [/tex]
[tex] x = 3 [/tex]
Find TV:
[tex] TV = 64 - 10x [/tex]
Plug in the value of x
[tex] TV = 64 - 10(3) = 64 - 30 [/tex]
[tex] TV = 34 [/tex]
Answer:
the answer is 18
Step-by-step explanation: I unfortanutley got it wrong by listen to the dude that said it 34 but it's 18
Desmond's monthly Netflix subscription costs $14.
If he charges it to his credit card each month for 7
months without making any payments, what will
his debt be?
Explain how you would solve this problem.
What is the answer?
Answers
Answer:
Desmond has a debt of $98.
Step-by-step explanation:
We are given that Desmond has a monthly Netflix subscription that charges him $14. Since it is a monthly subscription, it is a recurring charge.
We are also given that he does not make payments for 7 months. This means that the subscription is recurring for seven months.
Therefore, if he is charged $14 monthly and is charged that for 7 months, we can say that he is charged $14 seven times.
Therefore, we can create an equation that solved how much his debt would be based on this information.
[tex]\displaystyle14(7) = c\\\\14\times7=98\\\\c = 98[/tex]
Therefore, Desmond has a debt of $98.
Which table represents a non proportional linear relationship
Answers
Answer:
u need to add a picture cuz i dunno the problem
Step-by-step explanation:
Write 4,275,000,000 in scientific notation
Answers
Answer:
4.275 x 10^9
Step-by-step explanation:
jus do it
Answer:
4.275x10bto the 9th power
Step-by-step explanation:
Solve the equation. Type just the numeral answer. Do NOT round your solution.
n
= -1.2
-1.5
n=
Answers
Answer:
-2.7
thats the answer but i cant submit without some words lol
Answer:
n= 1.8
Step-by-step explanation:
Solve the following expression:
n/-15 = -1.2
-Multiply -1.5 on both sides:
(-1.5) n/-1.5 = -1.2(-1.5)
n=1.8
Therefore, the final answer is n = 1.8.
something divided by -7 that gives -4 PLEASE I NEED HEEELP
Answers
Answer:
28
Step-by-step explanation:
Just do -4 multiplied by -7 which is 28
When divided it gives you -4
Answer:
just look it up
Step-by-step explanation:
Safari, Ask what u need too, and that is it
Simplify (10x^2− 8x − 1) + (4x^2− 8x − 5).
Answers
Answer: 14[tex]x^{2}[/tex] − 16x − 6
chooseeeeeeeeeeeeeeeee oneeeeeeee plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz and explain
Answers
Answer:
Step-by-step explanation:
Jose is right because the two angles are coresponding angles that are congruent
You are given a penny on January 1, two pennies on January 2, four pennies on January 3, and eight pennies on January 4, and so on. 1.
Assuming the pattern continues, how many pennies do you get on the following dates? January 5 January 10 January 31
Answers
Answer:
january 5 :12
january 10:22
Step-by-step explanation:
Answer:
16 pennies512 pennies1073741824 penniesStep-by-step explanation:
We can see a pattern:
Days >> Pennies1 >> 1= 2^02 >> 2= 2^13 >> 4 = 2^24 >> 8 = 2^3...n >> 2^(n-1)So
January 5 fall on n = 5, therefore 2^4 = 16 penniesJanuary 10 falls on n = 10, therefore 2^9 = 512 penniesJanuary 31 falls on n = 31, therefore 2^30 = 1073741824 penniesAt a catered wedding, there are 2 options for the first course, 6 options for the main course, and 3 options for
dinner. How many meals are possible?
A.11
B.64
C.18
D.36
Answers
Answer:
A. 11
1 course = 1 meal
Step-by-step explanation:
Tara was 50 feet below the surface of the ocean. She then swam up 20
feet. Which integer represents her starting depth?
Answers
Answer:
The starting depth and your integer is -50 since she started below the surface.
2. Use the Pythagorean theorem to find the missing side of the following right triangles.
Round to the nearest tenth if needed.
2
B
a = 9
C
b = 12
Answers
Answer:
Pythagorean theorem which is a²+b²=c2
9²+12²=c²
225=c2
c=√225
c=15
2 1/8 and 17/8 are reciprocal numbers. True False
Answers
Answer:
False
Step-by-step explanation:
If make 2 1/8 into an improper fraction, it will be 17/8. a reciprocal is a flip of a number, so it is false.
