If the following figure is a rectangle, find the missing measures. round all answers to 1 decimal place if necessary.
Answers
Answer:
VW=31
WX=19
YW=36.4 or [tex]\sqrt{1322}[/tex]
ZX= 18.2 or [tex]\frac{\sqrt{1322} }{2}[/tex]
VX= 36.4 or [tex]\sqrt{1322}[/tex]
Step-by-step explanation:
Since the figure is a rectangle certain rules about the lengths of its sides and diagonals apply. One such rule is that opposite sides are equal, so YX=VW and VY=WX. Then you need to find the length of the diagonals by using the Pythagorean theorem since the diagonals cut the rectangle into two right triangles. By using the theorem you can find that the length of the diagonal YW is 36.4 or [tex]\sqrt{1322}[/tex], and since all diagonals are congruent VX is the same. Finally, in rectangle diagonals bisect each other, therefore part of one must be half of the total, so ZX must be half of VX.
Related Questions
Will give brainliest, and 32 points. Evaluate the expression for x = 3, y=13 , and z = 5. 12x−3y4x−z Enter your answer in the box. What do I put in the box? Tell me that please.
Answers
9514 1404 393
Answer:
5
Step-by-step explanation:
Fill in the given values and do the arithmetic.
[tex]\dfrac{12x-3y}{4x-z}=\dfrac{12\cdot3-3\left(\dfrac{1}{3}\right)}{4\cdot3-5}=\dfrac{36-1}{12-5}=\dfrac{35}{7}=\boxed{5}[/tex]
Answer:
5Step-by-step explanation:
We know that:
Given expression: [tex]\frac{12z - 3y}{4x - z}[/tex]x = 3y = 1/3z = 5Solution:
[tex]\frac{12z - 3y}{4x - z}[/tex]=> [tex]\frac{12z - 3y}{4x - z}[/tex]=> [tex]\frac{12(3) - 3(\frac{1}{3}) }{4(3) - 5}[/tex]=> [tex]\frac{36 - 1 }{12 - 5}[/tex]=> [tex]\frac{35}{7} = 5[/tex]Hence, 5 is the answer.
Identify the population and the sample.
a. A survey of 1000 U.S. adults found that 83% think credit cards tempt people to buy things they cannot afford.
b. Thirty-eight nurses working in the San Francisco area were surveyed concerning their opinionsof managed health care.
c. A survey of 39 credit cards found that the average annual percentage rate (APR) is 12.83%.
d. A survey of 1205 physicians found that about 60% had considered leaving the practice ofmedicine because they were discouraged over the state of U.S. health care.
Answers
In statistics,
Population = Largest set that contains all the individuals or items related to a particular study.Sample = Subset of population.By using above definitions ,
a. Population = all U.S. adults
Sample = 1000 U.S. adults
b. Population = all nurses working in the San Francisco.
Sample = 38 nurses working in the San Francisco.
c. Population = all credit cards
Sample = 39 credit cards
d. Population = all physicians.
Sample = 1205 physicians
Find the smallest non-zero whole number n such that 756n is a perfect cube.
Answers
Step-by-step explanation:
756 = 2² * 3³ * 7.
For 756n to be a perfect cube, all of its prime factors must have a power that is a multiple of 3.
How to get from 2² to 2³: Multiply by 2.
3³ has already a power that is a multiple of 3.
How to get from 7 to 7³: Multiply by 7².
Hence n = 2 * 7² = 98.
Which angle is congruent to p
Answers
Answer: angle q is congruent to angle p
Step-by-step explanation:
congruent means same size shape, ect....
List Factors of 27??? (Pls answer I don't wanna waste points)
Answers
Answer:
1, 3, 9, 27
Step-by-step explanation:
Answer:
3*7
3*3*3
3^3
Step-by-step explanation:
.............
11 ÷ 3/4=
what dose it means
Answers
Answer:
14.66 or 14.7
Step-by-step explanation:
if we solve the equation we get 14.6666 but since it goes on and on we round and put it on 14.7
Answer:
Step-by-step explanation:
11 ÷ 3/4 = [tex]11 * \frac{4}{3}[/tex]
[tex]=\frac{44}{3}\\\\=14\frac{2}{3}[/tex]
Adam would like to buy a used car, and collected several data to evaluate the best model (such as age, price, weight, etc.) Thanks to a scatterplot, he established that the relation between age and weight is somewhat linear. He calculated that the correlation between age and weight is 0.512. Describe the association.
Answers
Answer: There is a strong association between age and weight.
Step-by-step explanation:
The correlation coefficient (r) is used to describe the relationship between two variables.
[tex]-1\leq r\leq1[/tex]
If r lies between -1 to -0.5 or 0.5 to 1, then there is strong association between them.
Here, Variables: Age and weight.
correlation coefficient = 0.512
That means, there is a strong association between age and weight.
The price of a shirt is $18.50 but you have a coupon that lowers that price by 20% what is the price of that shirt?
Answers
Answer:
$3.70
Step-by-step explanation:
What you would do is 18.50×20%. And to make it easier you would do 18.50×0.20 which equals 3.70.
Answer:
The shirt would be $14.80 after using the coupon!
Step-by-step explanation:
I hope this helps a bit, have a good day! =)
Let p be a prime. Compute the following sum (mod p):
Answers
___________
2(p-1)
Hop it help
Write an equation of the line that passes through (2,3) and is perpendicular to the line shown. Please help!!
Answers
Answer:
7.0
Step-by-step explanation:
In ΔVWX, the measure of ∠X=90°, the measure of ∠W=9°, and WX = 8.7 feet. Find the length of XV to the nearest tenth of a foot.
help me.... this is do in 13 min
Answers
Answer:
d
Step-by-step explanation:
which expressions are equivalent to the first one? I don't understand how to determine that so please explain. Thanks!
Answers
9514 1404 393
Answer:
(a) -(x+7)/y
(b) (x+7)/-y
Step-by-step explanation:
There are several ways you can show expressions are equivalent. Perhaps the easiest and best is to put them in the same form. For an expression such as this, I prefer the form of answer (a), where the minus sign is factored out and the numerator and denominator have positive coefficients.
The given expression with -1 factored out is ...
[tex]\dfrac{-x-7}{y}=\dfrac{1(x+7)}{y}=\boxed{-\dfrac{x+7}{y}} \quad\text{matches A}[/tex]
Likewise, the expression of (b) with the minus sign factored out is ...
[tex]\dfrac{x+7}{-y}=\boxed{-\dfrac{x+7}{y}}[/tex]
On the other hand, simplifying expression (c) gives something different.
[tex]\dfrac{-x-7}{-y}=\dfrac{-(x+7)}{-(y)}=\dfrac{x+7}{y} \qquad\text{opposite the given expression}[/tex]
__
Another way you can write the expression is term-by-term with the terms in alpha-numeric sequence (so they're more easily compared).
Given: (-x-7)/y = (-x/y) +(-7/y)
(a) -(x+7)/y = (-x/y) +(-7/y)
(b) (x+7)/(-y) = (-x/y) +(-7/y)
(c) (-x-7)/(-y) = (x/y) +(7/y) . . . . not the same.
__
Of course, you need to know the use of the distributive property and the rules of signs.
a(b+c) = ab +ac
-a/b = a/(-b) = -(a/b)
-a/(-b) = a/b
__
Summary: The given expression matches (a) and (b).
_____
Additional comments
Sometimes, when I'm really stuck trying to see if two expressions are equal, I subtract one from the other. If the difference is zero, then I know they are the same. Looking at (b), we could compute ...
[tex]\left(\dfrac{-x-7}{y}\right)-\left(\dfrac{x+7}{-y}\right)=\dfrac{-y(-x-7)-y(x+7)}{-y^2}\\\\=\dfrac{xy+7y-xy-7y}{-y^2}=\dfrac{0}{-y^2}=0[/tex]
Yet another way to check is to substitute numbers for the variables. It is a good idea to use (at least) one more set of numbers than there are variables, just to make sure you didn't accidentally find a solution where the expressions happen to be equal. We can use (x, y) = (1, 2), (2, 3), and (3, 5) for example.
The given expression evaluates to (-1-7)/2 = -4, (-2-7)/3 = -3, and (-3-7)/5 = -2.
(a) evaluates to -(1+7)/2 = -4, -(2+7)/3 = -3, -(3+7)/5 = -2, same as given
(b) evaluates to (1+7)/-2 = -4, (2+7)/-3 = -3, (3+7)/-5 = -2, same as given
(c) evaluates to (-1-7)/-2 = 4, different from given
Is 3.5 a rational number
Answers
Answer:
Yes
Step-by-step explanation:
3.t can be written as a fraction, which is 7/2, so yes it is a rational number.
Kimberly went 5 miles after walking for 2 hours. If Kimberly's rate of travel st
the same, how far would Kimberly go if she walked for 8 hours?
Answers
Answer:
20 miles
Step-by-step explanation:
5 miles for every 2 hours. There are 4 groups of 2 hour blocks in 8 hours, so we multiply the 5 miles*4 2 hour blocks (5*4). That leaves us with 20 miles is 8 hours.
In a mathematics class 54, students received an A on the third test, which is 150% of the students who received an A on the second test. How many students received an A on the second test?
10,1 #16
Answers
Answer:
Number of students who received A grade on the second test = 36
Step-by-step explanation:
Given that:
Number of students who received A grade on third test = 54
This is 150% of the students who received A on the second test.
Let,
x be the number of students who received A on the second test.
150% of x = 54
[tex]\frac{150}{100}x=54[/tex]
1.5x=54
Dividing both sides by 1.5
[tex]\frac{1.5x}{1.5}=\frac{54}{1.5}\\x=36[/tex]
Hence,
Number of students who received A grade on the second test = 36
A moving truck can carry no more than 1,480 pound of cargo. Brian loaded 640 pounds into the truck already. He is loading boxes that weigh 70 pounds. How many boxes can he put into the truck?
Let x = # of boxes
Answers
Answer:
I'm not really sure that my answer is correct, but if you divide 640 by 70 you get 9, so Brian can put 9, 70 pound boxes in the truck.
Step-by-step explanation:
tom scored 23 points in a basketball game. He attempted 15 field goals and 6 free throws. If each successful field goal is 2 points and each successful free throw is 1 point, is it possible he successfully made all 6 of his throws?
Answers
Answer:
No
Step-by-step explanation:
The number is odd, so if he makes all 6 the number wouldn't make sense, because for every successful field goal he gets is 2points; so mathematically it wouldn't make sense.
Answer:
I don't know sorry
Step-by-step explanation:
a fruit stand has to decide what to charge for their produce. They decide to charge $5.30 for 1 apple and 1 orange.
Answers
Answer:
Each fruit cost $2.65 each
Step-by-step explanation:
530 divided by 2 equals 265
Then move the decimal two places left and you get...
2.65
Brainliest? I'm trying to level up!
</3 PureBeauty
evaluate.
[tex] - \sqrt{81} [/tex]
.......
Answers
Answer:
Step-by-step explanation:
First find factors of 81
3 81
3 27
3 9
3 3
1
81 = 3×3×3×3
81 = 3^4
Taking squareroot
∴ -√81 = -√3^4
= -3^2
= -9
Help plz:)))I’ll mark u Brainliest
Answers
Answer:
[tex]x=1,CD=5[/tex]
Step-by-step explanation:
It's given that [tex]ABCD\cong FGHJ[/tex]. Because the side [tex]CD[/tex] corresponds with the side [tex]HJ[/tex], their lengths will be equal. Therefore, we have:
[tex]2x+3=3x+2,\\x=1[/tex]
Plugging [tex]x=1[/tex], we have:
[tex]CD=2(1)+3=5[/tex].
estimate the quotient 61 ÷ 8 plz help me someone
Answers
Answer:
7.625
Step-by-step explanation:
Solve for x: -3x + 3 < 6 (2 points)
a
x>-1
..
x <-3
Od
x>-3
Answers
Answer:
System of Linear equations. To find the quadratic functions f(x) = ax^2 + bx + c whose graphs contain the points (1,0) and (3,0) we can evaluate f at 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-3x+3<6 Equation/Question
Step 2
-3x+3<6 Simplify
-3x<3
Step 3
-3x<3 Divide
Answer
x>-1
Hope this helps
if k(x) =5x - 6, what is (k +K)(4)
Answers
Answer:
40x−48
Step-by-step explanation:
1. Replace k with 5x - 6.
(5x - 6 + 5x - 6)(4)
2. Combine like terms.
(10x - 12) (4)
3. Multiply.
40x−48
PLEASE SOMEONE I REALLY NEED HELP THIS IS DUE TODAY!!!!!!!!!!
Carla paints 34 of the fence in 1 hour. Which rates are equivalent to Carla’s rate of painting? SELECT ALL THAT APLLY.
A) 3/10 hour to complete 2/5 of the fence
B) 4/5 hour to complete 3/5 of the fence
C) 2/3 hour to complete 1/2 of the fence
D) 9/4 hour to complete 1/3 of the fence
Answers
ILL GIVE U BRAINLIST!!
Connor is working two summer jobs, making $8 per hour walking dogs and making $12 per hour landscaping. In a given week, he can work a maximum of 15 total hours and must earn no less than $160. If Connor worked 12 hours walking dogs, determine the maximum number of whole hours landscaping that he can work and still meet his requirements. If there are no possible solutions, submit an empty answer.
Answers
Answer:
[tex]\mathrm{No\: solutions}[/tex]
Step-by-step explanation:
Since Connor has worked 12 hours walking dogs, he's earned [tex]12\cdot 8 = \$96[/tex] from walking dogs. He still needs to earn [tex]\$160-\$96=\$64[/tex]. As stated in the problem, he makes $12 an hour landscaping, therefore the minimum number of whole hours he must work to fulfill his requirements is [tex]\lceil{ \frac{64}{12} \rceil = 6\: \mathrm{hours}[/tex]. However, the problem states he can only work a maximum of 15 hours. He would have to work [tex]12+6=18[/tex] to fulfill his requirements and therefore he will not be able to meet his requirements with the restrictions given.
-12m = 16 . plz its really important i need some help
Answers
Answer:
-1 and 1/3
Step-by-step explanation:
-12 x -1 1/3= 16
Answer:
-3/4
Step-by-step explanation:
-12m=16
m=12/-16
simplify
m=-3/4
Explain how the Distributive Property can be used to solve the equation.
3(x + 4) = 36.
a. Add 3 to each term inside the parentheses, then use inverse operations to solve.
b. Subtract 3 from each term inside the parentheses, then subtract 12 from both sides.
c. Multiply each term inside the parentheses by 3, then use inverse operations to solve.
d. Divide both terms inside the parentheses by 3, then subtract 12 from both sides.
Answers
What is an equation of the line that passes through the points (-6, 5) and (6, -7)
Answers
m is the gradient and c is the y intercept
gradient = change in y / change in x
so it would be -7-5 divided by 6 - -6 = -12/12 = -1
the equation is now y = -x+c
now to find the y intercept you substitute one of the given coordinates into the equation we already have
(6,-7) —> -7= -(-7) + c
= -7 = 7 + c
= c = -14
we put that back into the equation to get line
y = -x - 14
what is this answer?
Answers
Answer:
the answer is h=9
Step-by-step explanation:
the answer is h=9
27/3=9
Express the reoccurring decimal 0.56 as a fraction
Please see screenshot
Answers
Answer:
I have made it in pic hope it helps