Point V lies between points U and W on UW.
If UW = 9x – 9, what is UW in units?
5 units
6 units
30 units
36 units
Answers
hope this helps :)))))
Answer: The correct option is (D) 36 units.
Step-by-step explanation: Given that point V lies between points U and W on UW, where
[tex]UV=2x-4,~~VW=4x+10~~~\textup{and}~~~UW=9x-9.[/tex]
We are to find the length of UW in units.
Since point V lies on the line segment UW, so we must have
[tex]UV+VW=UW\\\\\Rightarrow (2x-4)+(4x+10)=9x-9\\\\\Rightarrow 6x+6=9x-9\\\\\Rightarrow 9x-6x=6+9\\\\\Rightarrow 3x=15\\\\\Rightarrow x=5.[/tex]
Therefore, the length of UW is
[tex]UW=9x-9=9\times5-9=45-9=36~\textup{units}.[/tex]
Thus, the length of UW is 36 units.
Option (D) is correct.
Related Questions
How many distinct triangles can be formed for which m∠X = 51°, x = 5, and y = 2? zero one two
Answers
[tex] \displaystyle{ \frac{\sin \angle X}{x}= \frac{\sin \angle Y}{y}[/tex],
where x and y are the sides opposite to angles X and Y, respectively.
Substituting the known values, we have:
[tex] \displaystyle{ \frac{51^{\circ}}{5}= \frac{\sin \angle Y}{2}[/tex], thus
[tex]\displaystyle{ \sin \angle Y=\frac{\sin 51^{\circ}}{5}\cdot2\approx \frac{0.777}{5}\cdot2=0.31[/tex].
Using a calculator, we can find that arcsin(0.31)=18 degrees, approximately.
We know that sine of (180-18)=162 degrees is also 0.31. But 162 and 51 degrees add up to more than 180 degrees.
Thus, there is only one triangle that can be formed under these conditions.
Answer: B: One
Step-by-step explanation:
Find the slope write into slope intercept form (19,-16),(-7,-15)
Answers
Answer: [tex]m= -\frac{1}{26}[/tex]
(19,-16) = (x1,y1)
(-7-15) = (x2,y2)
Slope= [tex]\frac{y2-y1}{x2-x1}[/tex]
= [tex]\frac{-15-(-16)}{-7-19}[/tex]
= [tex]\frac{-15+16}{-7-19}[/tex]
= [tex]\frac{-15+16}{-26}[/tex]
= [tex]-\frac{1}{26}[/tex]
True or false if a function y = f(x) satisfies dy/dx = y, then y = e^x
Answers
If y = f(x) = e^x
Then dy/dx = f’(x) = e^x
Therefore y = dy/dx
Kelly reads x hours a week. tim reads two times more than kelly and jim reads five hours more than tim. which expression represents the amount of time jim reads?
Answers
Jim= add 5
x times 2 plus add 5
Answer:
2x+ 5 expression represents the amount of time jim reads
Step-by-step explanation:
As per the statement:
Kelly reads x hours a week.
⇒Kelly read in a week = x hours
Also, tim reads two times more than kelly
⇒tim read in a week= 2x
It is also given that:
jim reads five hours more than tim.
⇒Jim = tim read + 5
⇒Jim read in a week = 2x +5
Therefore, expression represents the amount of time jim reads is, 2x+ 5
How do I find the value of the variable?
Answers
the three inside angels need to equal 180, so first find the missing inside angle:
86.5 + 41.4 = 127.9
180-127.9 = 52.1
now that angle and y need to equal 180 degrees
so 180 - 52.1 = 127.9
y = 127.9 degrees
△ABC△ABC is similar to △XYZ△XYZ. Also, angle A measures 45° and angle C measures 60°.
What is the measure of angle Y?
Answers
C & Z= 60 degrees
There is 180 degrees in a triangle.
A+C=105 degrees
180-105=75
B = Y
Y=75 degrees
Answer: The value of angle Y is 75 ° .
Step-by-step explanation:
Given Δ ABC ≈ Δ XYZ
∠ A = 45°
∠ C = 60°
To find =
∠Y =? in ΔXYZ
Solution:
In Δ ABC
∠ A = 45 °
∠ C = 60 °
∠ B = ?
∠ A + ∠ C +∠ B = 180 ° (angle sum property of triangle)
∠ B = 75 °
Since, given that Δ ABC ≈ Δ XYZ and in similar triangles ,angles of respective vertices are equal. As shown in the image attached
∠ A = 45 ° = ∠ X
∠ B = 75 ° = ∠ Y
∠ C = 60 ° = ∠ Z
So, the value of angle Y is 75 ° .
Write the point-slope form of the equation of the line that passes through the origin and has a slope of 2. include your work in your final answer. type your answer in the box provided or use the upload option to submit your solution.
Answers
y=2(x-0)+0
y=2x
I hope I helped..
You are paid $8.25/hour. You work 35 hours/week for 3 weeks. Your involuntary deductions are FICA (7.65%), federal withholding (13%), and state withholding (9%). How much is your realized income?
Answers
The answer is:
$609.39
If the typical balance on Lucy's credit card is $750 and the interest rate (APR) on her credit card is 16%, how much in interest would you expect Lucy to be charged in a typical month?
Answers
[tex]i= \frac{(1+ \frac{0.16}{12} )^{12}-1}{12} \\ \\ =\frac{(1+0.0133 )^{12}-1}{12} \\ \\ =\frac{(1.0133 )^{12}-1}{12}= \frac{1.172-1}{12} \\ \\ = \frac{0.1723}{12} =0.01436=1.436\%[/tex]
Therefore, the amount of interest Lucy will be charged in a typical month is given by 0.01436 x $750 = $10.77
I need to skip count by ten from 350 to 240
Answers
Skip counting by ten from 350 to 240 involves starting at 350 and counting backwards by subtracting ten each time until you reach 240. The sequence would look as follows: 350, 340, 330, 320, 310, 300, 290, 280, 270, 260, 250, 240.
Explanation:In Mathematics, when asked to 'skip count' it means that you are counting up or down by a specified number, in this case, by ten. However, the student's question asks to skip count by ten from 350 to 240, which would require counting backwards or decreasing the count by ten each time.
To skip count by ten from 350 to 240, you would start at 350 and then subtract 10 each time, like this: 350, 340, 330, 320, 310, 300, 290, 280, 270, 260, 250, 240. Note: 240 is included in the sequence as it is the final number we're skip counting down to.
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Complete the point-slope equation of the line through (1,3) and (5,1)
Answers
Formula for slope: [tex] \frac{y2-y1}{x2-x1} [/tex]
Plug in values: [tex] \frac{1-3}{5-1}= -\frac{2}{4} = -\frac{1}{2} [/tex]
Slope: [tex]- \frac{1}{2} [/tex]
Second, we must plug into point-slope form.
Formula for point-slope: [tex]y - y1 = m(x-x1) [/tex]
Plug in the values: [tex]y - 3 = - \frac{1}{2}(x-1)[/tex]
And there you have your answer in point-slope form.
The point-slope equation of the line through (1,3) and (5,1) is y - 3 = -0.5(x - 1), where the slope m= -0.5 was calculated using the formula m = (y2 - y1) / (x2 - x1).
Explanation:To complete the point-slope equation of the line through points (1,3) and (5,1), we first need to find the slope of the line, which can be calculated using the formula: m = (y2 - y1) / (x2 - x1), here (x1,y1) and (x2,y2) are the coordinates of two points on the line.
Substituting in the given coordinate values gives us m = (1 - 3) / (5 - 1), which simplifies to m = -0.5, indicating a downward slope.
The point-slope form of the equation of a line is y - y1 = m(x - x1). So, substituting one of the given points (1, 3) and the calculated slope into the point-slope form gives us y - 3 = -0.5(x - 1).
Therefore, the point-slope equation of the line through (1,3) and (5,1) is y - 3 = -0.5(x - 1).
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A retired couple invested $8000 in bonds. At the end of one year, they received an interest payment of $504. What was the simple interest rate of the bonds? Do NOT round off a decimal answer.
Answers
David and his family went out to eat in the bill was $80 and he gave the waiter 30% how much was did he give the waiter
Answers
w = 80(0.30)
w = 24
David gave the waiter $24.
That equals 8
Then multiply by 3
That equals 24
Final answer: $24
Ana is driving from her home in Miami to her grandmothers house in New York. On the first day she will travel 240 miles to Orlando Florida to pick up her cousin. Then they will travel 350 miles each day write an equation for the total number of miles m that Ana has traveled after d days
Answers
The equation for the total number of miles m that Ana has traveled after d days is m = 240 + 350d.
What is an equation?
An equation is an equality relationship between two expressions written on both sides of the equal to sign.
Ana travels 240 miles on the first day.
Her cousin and she travel 350 miles everyday.
If d is the number of days, then to find the equation for the total number of miles covered m,
m = 240 + 350d miles in d days.
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True or false the product of a complex number and its conjugate is a real number
Answers
It is true that the product of a complex number and its conjugate is a real number and this can be determined by using arithmetic operations.
Let the complex number be (a + bi). Therefore, its conjugate is given by (a - bi).
The following calculation can be used to determine the product of a complex number and its conjugate:
= (a + bi).(a - bi)
Multiply (a) by (a - bi) and then multiply (bi) by (a - bi) in the above expression.
[tex]\rm =a^2-abi+abi-b^2i^2[/tex]
Simplify the above expression.
[tex]\rm =a^2-b^2i^2[/tex]
Remember the value of ([tex]\rm i^2 = -1[/tex]). So substitute the value of [tex]\rm i^2[/tex] in the above expression.
[tex]\rm = a^2+b^2[/tex]
From the above calculation, it can be concluded that it is true that the product of a complex number and its conjugate is a real number.
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Find the area under the standard normal distribution curve for each.
a. between z 0 and z 1.95
b. between z 0 and z 0.37
c. between z 1.32 and z 1.82
d. between z 1.05 and z 2.05
e. between z 0.03 and z 0.53 2. find
Answers
P(z<1.95) = 0.9744
P(z<0.37) = 0.6443
P(z<1.32) = 0.9066
P(z<1.82) = 0.9656
P(z<1.05) = 0.8531
P(z<2.05) = 0.9798
P(z<0.03) = 0.5120
P(z<0.53) = 0.7019
Answers:
Range of z Area
-------------- ---------------------------------------
a. 0 - 1.95 0.9744
b. 0 - 0.37 0.6443
c. 1.32 - 1.82 0.9656 - 0.9066 = 0.0590
d. 1.05 - 2.05 0.9798 - 0.8531 = 0.1267
e. 0.03 - 0.53 0.7019 - 0.5120 = 0.1899
To find the area under the normal distribution curve for a range of z-values, you refer to a z-table and possibly subtract two areas to find the area between two z-values. The areas above were calculated as examples.
Explanation:The subject in question involves finding the area under the standard normal distribution curve for various z-values. This is a concept in statistics that evaluates the probability which a particular range of values under the normal distribution curve might occur.
For z between 0 and 1.95, we refer to the z-table and find the area under the curve as 0.975.For z between 0 and 0.37, using the z-table, the area under the curve is 0.644.For z between 1.32 and 1.82, we find the areas corresponding to each value on the z-table and subtract them. This is 0.9664 - 0.9066 = 0.0598.For z between 1.05 and 2.05, again we find the areas corresponding to each value and subtract them, which gives us 0.975 - 0.8543 = 0.1207.For z between 0.03 and 0.53, we find the corresponding areas and subtract, resulting in 0.7054 - 0.5120 = 0.1934.Learn more about standard normal distribution here:https://brainly.com/question/29509087
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What is the best first step in solving the equation 3 + = 5? Subtract 3 from both sides. Find the cube of . Cube both sides of the equation. Subtract 5 from both sides.
Answers
Philip has 2,000 and spends $23.75 on supplies.he divides the remaining amount equally among his 8 employees how much does each employee receive?
Answers
What is the midpoint of the line segment whose endpoints are (-8, 12) and (-13, -2)?
(-10.5, 5)
(-10.5, 7)
(-2.5, 7)
Answers
The midpoint of the line segment is [tex](\frac{-21}{2} ,5)[/tex].
What is midpoint of a line segment?
Midpoint is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.
Formula for finding the midpoints of a line segment[tex](x,y)=(\frac{x_{1}+x_{2} }{2} ,\frac{y_{1} +y_{2} }{2} )[/tex]
Where,
[tex](x, y)[/tex] is the midpoint of the line segment.
[tex](x_{1},y_{1}) and (x_{2} ,y_{2} )[/tex] are the endpoints of the line segment.
Let (x, y) be the midpoint of the line segment.
According to the given question
We have
(-8, 12) and (-13, -2) are the endpoints of the line segment.
Therefore, the midpoint of the line segment is given by
[tex](x,y)=(\frac{-8-13}{2} ,\frac{12-2}{2} )[/tex]
⇒[tex](x, y) = (\frac{-21}{2} ,\frac{10}{2})[/tex]
⇒[tex](x,y)=(\frac{-21}{2} ,5)[/tex]
Hence, the midpoint of the line segment is [tex](\frac{-21}{2} ,5)[/tex].
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Sawyer has triple the number of Hot Wheels cars as Fisher. If Fisher has x number of cars, how many does Sawyer have?
A) x + 3
B) 3x
C) 3/x
D) 2x
Answers
for every five baseball cards that Mickey has Mike has 3 baseball cards if Mike has 72 baseball cards how many cards does Mickey have?
Answers
Mickey has 3 cards.
Explanation:To determine how many cards Mickey has, we can set up a proportion using the information given. We know that for every five cards Mickey has, Mike has 3 cards. So the proportion would be: (Mickey's cards) / 5 = 3 / (Mike's cards).
Given that Mike has 72 cards, we can plug that into the proportion: (Mickey's cards) / 5 = 3 / 72.
To solve for Mickey's cards, we can cross multiply: (Mickey's cards) = (3 / 72) * 5.
After simplifying, we find that Mickey has 3.125 cards. However, since we can't have a fraction of a card, we know that Mickey has 3 cards.
f(x)=24x+7 What is the domain of f
Answers
hope this helps, God bless!
What is
Write
52 over 6
as a mixed number.
Give your answer in its simplest form.
Answers
In two days, 48,000 gallons of oil gushed out of a well. At what rate did the oil flow from the well?
gallons per hour
Answers
24 000 gallons / 24 hours = 1 000 gallons per hour
1 000 gallons / 60 minutes = 16.(6) gallons per minute
The equation d = m/v can be used to calculate the density, d, of an object with mass, m, and volume, V. Which is an equivalent equation solved for V.
Answers
Answer:
The equivalent equation of [tex]d=\frac{m}{V}[/tex] is [tex]V=\frac{m}{d}[/tex].
Step-by-step explanation:
The given equation is
[tex]d=\frac{m}{V}[/tex]
Where d is density, m is mass and V is volume.
We have to solve this equation for V. To separate the variable V on one side multiply both sides by V.
[tex]d\times V=\frac{m}{V}\times V[/tex]
[tex]dV=m[/tex]
Diven both sides by d.
[tex]\frac{dV}{d}=\frac{m}{d}[/tex]
[tex]V=\frac{m}{d}[/tex]
Therefore the equivalent equation of the given equation is [tex]V=\frac{m}{d}[/tex].
Find JL if JK = 17 - x, KL = 2x - 7, and K is the midpoint of JL
Answers
JK + KL = JL
(17-x) + (2x-7) = JL
Simplify.
10-x = JL
Final answer:
By setting up an equation where JK equals KL since K is the midpoint, solving for x, and substituting back to find the length of JL, we find that JL is 18 units long.
Explanation:
To find the length of JL when given that JK = 17 - x and KL = 2x - 7, and knowing that K is the midpoint of JL, we can form an equation recognizing that JL is the sum of JK and KL. Because K is the midpoint, we know that JK and KL are actually equal in length, so we can set them equal to each other and solve for x:
17 - x = 2x - 7
Combining like terms by adding x to both sides and adding 7 to both sides gives us:
24 = 3x
Dividing both sides by 3:
x = 8
Since JK and KL are equal and K is the midpoint, JL will be twice the length of either segment. Substituting x into either expression, JK or KL:
JL = 2 * JK = 2 * (17 - x) = 2 * (17 - 8) = 2 * 9 = 18
or
JL = 2 * KL = 2 * (2x - 7) = 2 * (2*8 - 7) = 2 * (16 - 7) = 2 * 9 = 18
Therefore, JL = 18.
Perpendicular bisector of MU. Find the values of m.
Answers
What is the simplified form of each expression? (1 point)
1.) -(10)^-1
-1/10
-1/1^10
1/10
10
2.) 1/c^-5 (1 point)
c^5
5c
-c^5
-5/c
3.) What is the value of y^-5/x^-3 for x = 2 and y = -4? (1 point)
10/3
128
-1/128
-128
4.) Is the number written in scientific notation if not, explain. 5.1 x 10^8 (1 point)
Yes; the number is written in scientific notation.
No; the first factor is not a number between 1 and 10.
No; it is not written as a number times a power of 10.
5.) What is the number written in a standard notation? (1 point)
5.71 x 10^-3
-171.3
0.0571
0.000571
0.00571
6.) Suppose that the diameters of different types of hairs are 1.7 x 10^-4 cm, 1.4 x 10^-3 cm, 1.2 x 10^-5 cm, and 1.9 x 10^-4 cm? what is the order of the hairs from least to greatest diameter? (1 point)
Who ever is good at math please ''Try'' to help me out here?! :D And Thank you so much if ya do! :P
Answers
-(10)⁻¹ = -1/10
Answer: - 1/10
2.
1/c⁻⁵ = c⁵
Answer: c⁵
3.
[tex] \frac{y^{-5}}{x^{-3}} = \frac{x^{3}}{y^{5}} [/tex]
When x = 2 and y = -4, obtain
2³/(-4)⁵ = 8/-1024 = -1/128
Answer: -1/128
4.
5.1 x 10⁸ is written in scientific notation.
Answer: Yes; the number is written in scientific notation.
5.
5.71 x 10⁻³ = 0.00571 (in standard notation)
Answer: 0.00571
6.
The given diameters are
1.7 x 10⁻⁴, 1.4 x 10⁻³, 1.2 x 10⁻⁵, 1.9 x 10⁻⁴ cm
In ascending order, they are
1.2 x 10⁻⁵, 1.7 x 10⁻⁴, 1.9 x 10⁻⁴, 1.4 x 10⁻³ cm
Answer: 1.2 x 10⁻⁵, 1.7 x 10⁻⁴, 1.9 x 10⁻⁴, 1.4 x 10⁻³
Answer:
a
b
a
d
a
a
Step-by-step explanation:
Which of the following statements is true?
The interquartile range of weights of both apples is the same.
The upper quartiles of each group are within 2 grams of each other.
There were more Red Delicious apples weighed than Granny Smith apples.
The median weight of Granny Smith apples is less than the median weight of Red Delicious apples.
Answers
Suppose a random sample of 36 is selected from a population with a standard deviation of 12. if the sample mean is 98, the 95% confidence interval for the population mean is ______________.
Answers
Answer:
36%
Step-by-step explanation: