Answers
Answer:
11. TS = 123.8 cm
12. SW = 108.8 cm
13. m∠SVU = 123°
14. m∠STU = 123°
15. US = 217.6 cm
16. m∠TUV = 57°
Step-by-step explanation:
Properties of a Parallelogram:
Quadrilateral (4-sided, two dimensional shape).Opposite sides are equal in length and parallel to each other.Diagonals bisect each other (divide into 2 equal parts).Diagonals are not equal in length.Opposite angles are equal.Sum of all the interior angles is 360°.Adjacent angles are supplementary (sum to 180°).11. Opposite sides are equal in length:
TS = UV = 123.8 cm12. Diagonals bisect each other (divide into 2 equal parts):
SW = WU = 108.8 cm13. Adjacent angles are supplementary (sum to 180°):
⇒ m∠SVU + m∠TSV = 180°
⇒ m∠SVU + 57° = 180°
⇒ m∠SVU = 123°
14. Opposite angles are equal:
m∠STU = m∠SVU = 123°15. Diagonals bisect each other (divide into 2 equal parts):
⇒ US = 2 × UW
⇒ US = 2 × 108.8
⇒ US = 217.6 cm
16. Opposite angles are equal:
m∠TUV = m∠TSV = 57°Related Questions
Driving 65 mph, it takes Alicia 3 hours to reach the airport to go on a vacation. It then takes her 4 hours to get to her destination with the jet traveling at a speed of 400 mph. How many miles does Alicia travel to get to her destination?
Answers
Answer:
1,795 mi. traveled in total
Step-by-step explanation:
3 × 65 = 195 mi. driven by car
4 × 400 = 1,600 mi. flown by jet
1,600 + 195 = 1,795 mi. traveled in total.
Solve 5x -2.5 = 17.5
Answers
Answer:
x=4
Step-by-step explanation:
5x-2.5=17.5
5x=17.5+2.5
5x=20
x=20/5
x=4
The solution of the given equation is x=4
What does it mean to solve an equation?An equation represents equality of two or more mathematical expression.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
We are given the equation as;
5x-2.5=17.5
Solving for x;
5x=17.5+2.5
5x=20
x=20/5
x=4
Learn more about solving equations here:
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The branch manager of an outlet (Store 1) of a nationwide
chain of pet supply stores wants to study characteristics of her
customers. In particular, she decides to focus on two variables: the
amount of money spent by customers and whether the customers
own only one dog, only one cat, or more than one dog and/or cat.
The results from a sample of 70 customers are as follows:
Amount of money spent: X = +21.34, S = +9.22.
Thirty-seven customers own only a dog.
Twenty-six customers own only a cat.
Seven customers own more than one dog and/or cat.
Construct a 95% confidence interval estimate for the
population mean amount spent in the pet supply store.
Construct a 90% confidence interval estimate for the population proportion of customers who own only a cat.
The branch manager of another outlet (Store 2) wishes to conduct
a similar survey in his store. The manager does not have access to
the information generated by the manager of Store 1. Answer the
following questions:
c. What sample size is needed to have 95% confidence of
estimating the population mean amount spent in this store
to within { +1.50 if the standard deviation is estimated to
be $10?
d. How many customers need to be selected to have 90% confidence of estimating the population proportion of customers who own only a cat to within {0.045?
e. Based on your answers to (c) and (d), how large a sample should the manager take?
Answers
Answer:
1. ( 19.1416, 23.5384,)
2. (0.276348, 0.46651)
3. the sample size = 170.73 approximately 171
4. sample size = 334.07 approximately 334
5. sample of 334 should be taken by manager
Step-by-step explanation:
mean = bar x = 21.34 dollars
size of sample n = 70
standard deviation of sample = 9.22
we use t distribution as the population standard deviation is not known.
95% Confidence interval
1-α = 0.95
α = 0.05
degree of freedom = 70-1 = 69
α/2 = 0.025
using the t distribution tsble,
= 1.9949
confidence interval = [tex]21.34+-1.9949*[\frac{9.22}{sqrt(70)}] \\[/tex]
= 21.34 +- (1.9949*1.10200)
= 21.34 + 2.1984, 21.34 - 2.1984
= (23.5384, 19.1416)
the confidence interval of the mean amount spent at the supply store can be written as 19.1416<u<23.5384
2. sixe of those who only have a cat
p = 26/70 = 0.371429
at 90 % confidence interval,
1-α = 0.90
α = 0.10
we use the z table here
z(0.10/2) = Z(0.05)
= 1.645
[tex]0.371429+-1.645\sqrt} \frac{0.371429(1-0.371429)}{70}[/tex]
= 0.371429 +-( 1.645 x 0.0578)
= 0.371429 + 0.095081, 0.371429 - 0.095081
= (0.276348, 0.46651)
3. sd = 10$
margin of erro,r e = 1.50$
α = 0.05
using z table
α/2 = Z0.025
= 1.96
sample size = 1.96² * 10² / 1.50²
= 3.8416 * 100/ 2.25
= 170.73
the sample size is approximately 171
d. we have 0.5 as sample proportion now
margin of error = 0.045
α = 0.10
Zα/2 = 0.05
= 1.645
sample size = 1.645²x0.5(1-0.5) / 0.045²
= 0.676506/0.002025
= 334. 07
sample size = 334
5. sample of 334 should be taken by manager
The spinner is divided into 4 equal parts: yellow (Y), green, (G), blue (B) and red (R). Dorian says that if you spin the spinner twice, then there are exactly 12 possible outcomes. he lists the outcomes in a table. Which statement explains Dorian’s mistake?
Answers
Answer:
The spinner can land on the same color twice in a row, so there should be 16 possible outcomes
Step-by-step explanation:
4 possible outcomes with the same color
RR, OO, GG and BB.
Total Ways = 12+4=16
What is the solution to a system with parallel lines?
Answers
Step-by-step explanation:
no solution because they never intercept
Complete each statement then state the property or properties illustrated by each statement on
Answers
Answer:
(8n)(-77)=-77(n*8)
We move all terms to the left:
(8n)(-77)-(-77(n*8))=0
We add all the numbers together, and all the variables
8n(-77)-(-77(+n*8))=0
We multiply parentheses
-616n-(-77(+n*8))=0
We calculate terms in parentheses: -(-77(+n*8)), so:
-77(+n*8)
We multiply parentheses
-616n
Back to the equation:
-(-616n)
We get rid of parentheses
-616n+616n=0
We add all the numbers together, and all the variables
=0
n=0/1
n=0
the property is Associative Property
Step-by-step explanation:
this one was kinda hard pls let me know it its right or not
Help plzzz!! Marking most Brainly;)
Answers
Answer:
D it
Step-by-step explanation:
We have two equations, A quadratic and a linear equation.
The domain of a linear equation and quadratic equation is all real numbers but since it dealing with time we must make sure the roots or x-intercepts is positive.
Looking at the quadratic equation, we can use the discramnt formula to see if all roots are positve.
[tex]b {}^{2} - 4ac [/tex]
[tex] { - 6}^{2} - 4(1)(8.75)[/tex]
[tex]36 - 35 = 1[/tex]
The discramnt is greater than zero so there is two distinct real roots. So let check if they are positve
If you graph the equation, it intercepts at two positve roots so it is D
HELP!!! Bill paid $45in tax on a laptop that cost $500. What percent sales tax did Bill pay?
Answers
Answer:
He paid 9% in sales tax
Step-by-step explanation:
BRAINLIEST + 25 POINTS
Part A: a^2 + 6 for a = 5
Part B: Show your work and/or explain how you arrived at your answer
Answers
Answer:
31
Step-by-step explanation:
Plug in 5 as a into the expression:
a² + 6
(5)² + 6
25 + 6
= 31
So, the answer is 31 when a = 5
substitute a=5 into the equation.
5²+6
25+6=31
hope that helps^^
6 grade math pls help and do step by step
Answers
234235342421323254123+323546534311234
Answers
Answer:
I gotchu.
Step-by-step explanation:
234235342421323254123+323546534311234 = 2.34235666E20
Have a good day! :)
Si un vendedor gana $ 450 por cada venta de $ 50 000, ¿cuál es su tasa de comisión?
Answers
Answer:
..?.?..............???............
120
'N
A) 350
C) 135
D) 120
Answers
Answer:
it is d 120
Step-by-step explanation:
Please help will give brainliest.
Answers
Answer:
D
Step-by-step explanation:
a is false since x could be 0.
b is easy to check, just plug numbers in, and we can see that it's false(you would get 0+0=1 and -0-0=-1 once plugged in)
c is also easy to check, just plot the line or simplify the first equation. since (2x+2y)/2=4/2 is also x+y=2, the second equation is also x+y=2, so it must have infinitely many solutions.
d must be true due to process of elimination but let's check to make sure.
7y=14x, divide both sides by 7 to get y=2x and since they're the same equation it must mean that they have infinitly many solutions and we can see that it is correct
Please help me !!!!!!!!!
Answers
Answer:
f(-2) = 0
f(1) = 12
f(2) = 5
Step-by-step explanation:
f(-2) will lie in the function [tex] f(x) =x^2 - 4[/tex]
[tex]\therefore f( - 2) = {( - 2)}^{2} - 4 = 4 - 4 = 0 [/tex]
f(1) will lie in the function [tex] f(x) =2x^2 +10[/tex]
[tex]\therefore f(1) = 2 {(1)}^{2} + 10 = 2 + 10 = 12 [/tex]
f(2) will lie in the function [tex] f(x) =5[/tex]
[tex]\therefore f(2) = 5[/tex]
what is the value of y?(PLEASE ANSWER QUICKLY!!
5/16y=5/24
a.1/2
b.1/3
c.3/2
d.2/3
Answers
Answer:
The answer is D. 2/3
Step-by-step explanation:
We have to find out what number times 5/16 will equal 5/24. This isolates y.
You can plug in all the answers.
5/16 times 2/3 equals 5/24 which is the answer!
Answer:
D.2/3
Step-by-step explanation:
Find the circumference of the circle.
10 cm
The circumference is cm.
(Type an exact answer in terms of t.)
Answers
Answer:
the answer is either one or two answers
62.83 or 31.42
Step-by-step explanation:
This is the formula i used.
C=2πr
Circumference = 2·π·5 ≈ 31.41593 / 2·π·10 ≈ 62.83185
therefore,
t = 31.41593
or
t = 62.83185
What is the equation of this line? ILL MARK BRAINLIST
A ~ y = -x + 2
b~ y = 2x -2
C ~ cannot be determined
D~ y = 2x + 2
Answers
Help!!!!
Given that slope = -4 and a point (-2,5), write an equation in standard form
of the line.
Answers
first plug in the slope and given point into point-slope form
solve for y to get slope-intercept form
rewrite the equation in standard form
What is the AREA of the given circle?
62.83 in²
157.08in²
314.16 in²
628.32 in²
Answers
Answer:
314.16 in²
Step-by-step explanation:
Answer:
[tex]A[/tex] ≈ [tex]314.16[/tex]
Step-by-step explanation:
[tex]A=\pi r^2[/tex]
[tex]A = \pi (10)^2[/tex]
[tex]A = \pi (100)[/tex]
[tex]A[/tex] ≈ [tex]314.16[/tex]
Given the perimeter is 180cm what is the length and breadth of the rectangle?
Answers
how many solutions does 3-2x=5-x+3
Answers
Answer:
x-2x=5+3-3
-x=5
x=-5
Step-by-step explanation:
That's the answer
First: Cancel 3 on both side
-2x =5-x
second: Add x to both side
-2x + x = 5-x + x
3rd: simplify -2x+x to -x
-x = 5
4rth: Multiply both side by -1
x = -5
there is one solution
If $9450 is invested at a rate of 12.5%,
compounded continuously, how much will it
be worth in 20 years?
Answers
Answer:
The final balance is $113,645.52.
The total compound interest is $104,195.52.
Step-by-step explanation:
Tripp swims 50 laps a day in
hopes of becoming a collegiate
swimmer. Write an equation to
represent y, the total number of
laps Tripp has swam after x
days.
Answers
Answer:
y = 50x
Step-by-step explanation:
Which of these triangle pairs can be mapped to each other using a translation and a rotation about point A?
Answers
Answer:
Step-by-step explanation:
p
Step-by-step explanation:
Michael is organizing a game of chance for his class. He asks each student to pick a ribbon from a bag and then put it back into the bag. The bag
has 12 yellow ribbons, 7 red ribbons, and 3 blue ribbons. If Jane picks a ribbon, what is the probability that the ribbon will be yellow and what is
the likelihood of this event?
OA. The probability is 1, and the event is certain.
OB. The probability is î and the event is likely.
OC. The probability is it and the event is unlikely.
OD The probability is it, and the event is neither likely nor unlikely.
Answers
Answer:
b
Step-by-step explanation:
Using the probability concept, it is found that the correct statement regarding the probability of picking a yellow ribbon is given by:
D The probability is of 0.5454 = 54.54%, and the event is neither likely nor unlikely.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, 12 out of 22 ribbons are yellow, hence:
p = 12/22 = 6/11 = 0.5454 = 54.54.
The probability is greater than 0.05 but less than 0.95, hence it is neither likely nor unlikely, which means that option D is correct.
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Find the degree measure of each angle in the triangle.
Answers
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Please do not create new Amazon accounts until we verify your billing information. Any new orders that you place may be delayed or cancelled.
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We will review your information and contact you within 24 hours.
Please do not create new Amazon accounts until we verify your billing information. Any new orders that you place may be delayed or cancelled.
Benito runs 1/10 of a mile each day. which shows how to find the number of days it will take for benito to run 3/5 of a mile
Answers
I would say divide 3/5 by 1/10
23. Since 3 x 1/2 is the same as 1/2+ 1/2 +1/2 , what mixed number is the same
as 3 x 1/2?
Answers
Answer:
Step-by-step explanation:
3×1/2 = 1/2 + 1/2 + 1/2 = 3/2 = 1½
-3/4 × = 1/4 need Help to answer this question
Answers
Answer:
x = -1/3
Step-by-step explanation:
step one - Simply both sides of the equation
step two - Multiply both side by 4/(-3)