T, U, and V are
collinear. Suppose
U is between T and
V and that the
following is true:
TU = 7x - 4,
UV = 6x + 10, and
TV = 45.
Find TU.
Answers
The value of TU is 17.
Here,
T, U, and V are collinear.
U is between T and V
TU = 7x - 4,
UV = 6x + 10, and
TV = 45.
We have to find TU.
What are collinear points?
Three or more points are said to be collinear if they are lie on a single straight line.
Now,
T, U, and V are collinear.
U is between T and V
TU = 7x - 4,
UV = 6x + 10, and
TV = 45.
Clearly, TU + UV = TV
After putting the given values we get;
TU + UV = TV
(7x - 4) + (6x + 10) = 45
13x + 6 = 45
13x = 45 - 6
13x = 39
x = 3
Hence, TU = 7x - 4 = 7 * 3 - 4 = 21 - 4 = 17
So, The value of TU is 17.
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Related Questions
pls help I'm confused!
Answers
Answer:
[tex]112\pi[/tex]
Step-by-step explanation:
hi! for this problem, all we need is the equation for the SA for a cylinder!
here's the equation: [tex]A=2\pi(r)(h)+2(\pi)r^{2}[/tex]
BUT FIRST let's identify our given numbers
the radius, or r, is 4 (r = 4) the height, or h, is 10 (h = 10)now all we have to do is plug in what is given to the equation above! not so bad, right?
plugged in equation
[tex]A = 2\pi (4)(10) + 2\pi (4)^{2}[/tex]
- now let's simplify!
[tex]2\pi (40) + 2\pi (16)[/tex]
[tex]80\pi + 32\pi[/tex]
[tex]112\pi[/tex]
your answer should be [tex]112\pi[/tex]
comment or message me if you are still confused or have any questions :)
I don't really understand what I suppose to do here so please help me with the question
Answers
Answer:
look at the time for example, B's time is constant because it isn't skipping numbers like 1, 5, 3,etc.
the height is also constant because it is dividing each number by 2, 60÷2=30, 30÷2=15, 15÷2=7.5. You will notice A is not constant so (no) but B is so (yes)
The acidity in a swimming pool is considered
normal if the average of three pH readings, p, is
defined such that 7.0
reading will result in an overall rating of normal?
1) 6.2
2) 7.3
3) 8.6
4) 8.8
Answers
Answer:
6.2
Step-by-step explanation:
[tex] \frac{7.2 + 7.6 + x}{3} = 7.0 \\ \frac{14.8 + x}{3} = 7.0 \\ 14.8 + x = 21 \\ x = 21 - 14.8 \\ x = 6.2[/tex]
How Do I Prepare For A Math Test? I Seem To Find Math Tests Very Hard And Difficult, If I have A Way To Get My Mind Going, I Have To Get Some Tips.
Answers
Can someone check this for me and tell me if I’m wrong or correct? Thank you
Answers
Step-by-step explanation:
yeah they are all correct
I used my calculator
I need help please because I don’t really understand it
Answers
You get a third of some number x if you divide x by 3.
So, one third of (1/3)⁸ is
(1/3)⁸ / 3 = (1/3)⁸ × 1/3 = 1/(3⁸⁺¹) = 1/3⁹
Which is the correct first line for dividing the function f(x)= x^3-12x+16 by (x-2) using synthetic division
Answers
Answer:
C
Step-by-step explanation:
For the standard normal distribution, the area between z = 0 and z = 1.70, rounded to four decimal places, is:
Answers
Using normal distribution table, the area between z=0 and z=1.70 is the difference between p(z=0) and p(z=1.70). Hence, the area between z=0 and z = 1.70 is 0.4554
Using a normal distribution table :
P(Z < 0) = 0.5 P(Z < 1.70) = 0.95543The Area between z=0 and z= 1.70 is defined as the difference between the probabilities of (z < 1.70) and (z < 0)
P(Z < 1.70) - P(Z < 0) = 0.95543 - 0.5 = 0.45543
Therefore, the area between z = 0 and z = 1.70 rounded to four decimal places is 0.4554
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Kimmy is at the beach and wants to rent a jet ski for the day. The cost of the rental is a base charge of $125 and an additional fee of $75 per hour that she keeps the jet ski.
Part A: Write a function that can model this situation where y is the total charge for the rental and x represents the number of hours of the rental.
Part B: Determine how much Kimmy can plan to spend if she rents the jet ski for 5 hours.
Answers
1) y=75x+125
2)y=75(5)+125
=375+125
=500$
The quotient of 28 and 4.
7x4
28-4
28+4
4+28
Answers
Answer:
The answer to your equation is 7x4.
The result of a number, when decreased by 20%, is 192. Find the number.
Answers
ans;
240
hope it helps
it's the correct answer you can cross check
Jenny & Natasha are working on a problem together: Solve x/3 + 8 = −2. Natasha thinks the first step is to multiply by 3. Jenny explains that this is not the most efficient way to solve. Explain who is correct & justify your reasoning.
Answers
The individual that is correct is Natasha. This is because the answer can be gotten using Natasha's method
The given equation is [tex]\frac{x}{3} + 8 = -2[/tex]
Solving the equation using Natasha's method
the fist step is to multiply by 2
x + 24 = - 6
The second step is to combine and add similar terms
x = -24 - 6
x = -30
Second method of solving the equation
The equation the friends are trying to solve is [tex]\frac{x}{3} + 8 = -2[/tex]
The first step is to combine similar terms
[tex]\frac{x}{3}[/tex] = - 8 - 2
The second step is to add similar terms together
[tex]\frac{x}{3}[/tex] = - 10
The third step is to multiply both sides of the equation by 3
x = (-10 x 3)
x = -30
A similar question was answered here: https://brainly.com/question/18613652?referrer=searchResults
Can someone help me please ?
Answers
Answer:
12 and (-12)
Step-by-step explanation:
Solve for x.
x^2= 144
square root both sides and get,
x= 12
and
x= (-12)
remember to put your negative and 12 into parenthesis because you are multiplying the negative as well.
Answer:
x = 12
x = -12
Step-by-step explanation:
Step 1: Take the square root of both sides.
[tex]\sqrt{x^2} =[/tex] ± [tex]\sqrt{144}[/tex] [tex]x =[/tex] ± [tex]\sqrt{144}[/tex] [tex]x = 12[/tex] or [tex]x = -12[/tex]Therefore, x = 12 and x = -12 are the answers.
Draw two polygons that are similar but could be mistaken for not being similar. Explain why they are similar.
Answers
Answer:
they could possibly have the same number of vertices
At a sale of radio sets, 1/3 of all the sets were sold the first day, 1/4 of all the sets were sold the second day, and 1/8 of all the sets were sold the third day. What fractional part of the sets was left unsold after the third day?
A) 17/24
B) 5/12
C) 7/18
D) 7/24
Answers
Answer: 7/24 is the answer to this question
help i’m in school and failing
Answers
Answer:
have you been cheating and your answer i think is number 3
Step-by-step explanation:
What is
[tex] {4}^{ - 3}[/tex]
as a fraction?
Answers
Step-by-step explanation:
[tex] {4}^{ - 3} [/tex]
[tex] = ( \frac{1}{4} )^{3} [/tex]
I have double check this
50 EASY POINTS
Which of the following equations is equivalent to 4(a + 2) – 2(a – 8) = 24?
Answers
Answer:
[tex]4(a + 2) - 2(a - 8) = 24 \\ 4a + 8 - 2a + 16 = 24 \\ 2a + 24 = 24 \\ 2a = 24 - 24 \\ a = \frac{0}{2} \\ \\ a = 0[/tex]
I hope I helped you^_^
7x^2 -3x-6
7x
2
−3x−6
Answers
Answer:
7x⋅2−3x−6=11x−6
Step-by-step explanation:
Roger paid $27.50 for a sweatshirt. This amount includes a sales tax of 10%. What was the cost of the sweatshirt before tax?
Answers
Answer:$25.00
Step-by-step explanation:
Net Amount (excluding tax) $25.00
Tax (10.0%) $2.50
Gross Amount (including tax) $27.50
in short 10% tax of $25.00 is $27.50.
The required cost of the sweatshirt before tax s given as $24.50.
What is the percentage?The percentage is the ratio of the compositions of matter to the overall composition of matter multiplied by 100.
Here,
Roger paid $27.50 for a sweatshirt. This amount includes a sales tax of 10%.
Cost of the sweatshirt before tax = 27.50 - 10% of 27.50
= 27.50 - 0.1× 27.50
= $24.50
Thus, the required cost of the sweatshirt before tax s given as $24.50.
Learn more about percentages here:
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Three consecutive integers add up to 120. What is the smallest integer?
(A) 38
(B) 39
(C) 40
(D) 41
(E) 42
Answers
Answer:
39
Step-by-step explanation:
What is the = to 5x+ 7 =42 please give details
Answers
Answer: x = 7
Step-by-step explanation:
5x + 7 = 42
We then take 7 away from both sides:
5x = 35
Then, we need to make it so x = answer. To make 5x into x, we divide by 5 meaning that we next need to divide both sides by 5.
x = 7
which one is right and which one is wrong? what are the errors made?
Answers
What’s the value?? HELPPPP
Answers
Answer:
ok well I think it is 16
Step-by-step explanation:
because the parentheses first 2 x 2 x 2=8
then we have the outside of the parentheses 2, 8x2=16
so I think the answer is 16
Let's see
[tex]\\ \rm\rightarrowtail (2^3)^2[/tex]
(a^m)^n=a^mnSo
[tex]\\ \rm\rightarrowtail 2^{3(2)}[/tex]
[tex]\\ \rm\rightarrowtail 2^6[/tex]
[tex]\\ \rm\rightarrowtail 64[/tex]
please help i do not get it
Answers
so, 29-5x would be the equation.
answer: 29-40 = -11. :)
explanation: multiply 5 times 8, because 9am to 4pm is 8 hours. this is 40. take your starting temp, 29 minus 40.
hope this helps
How do I find length of the third side of all each triangle?
Answers
Answer:
Refer to the attachment
The graph represents function 1 and the equation represents function 2:
A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3.
Function 2
y = 4x + 1
How much more is the rate of change of function 2 than the rate of change of function 1?
A)1
B)2
C)3
D)4
Answers
The rate of change of function 1 is 0 and the rate of change of function 2 is 2. The rate of change of function 2 is 2 more than the rate of change of function 1.
Step-by-step explanation:The rate of change is also known as slope. The slope of a linear function or a line is
It is given that the function 1 is passing through the points (0,3) and (4,3). Slope of function 1 is
Therefore the slope of first function is 0.
The slope intercept form of a line is
Where, m is the slope and b is y-intercept.
The second function is
Therefore the slope of second function is 2 and the y-intercept is 1.
The rate of change of function 1 is 0 and the rate of change of function 2 is 2. The rate of change of function 2 is 2 more than the rate of change of function 1.
Yeah I hope its Helpful for you
Choose me Brainiliest
If you want to know the probability of spinning a spinner in a game that has 8 equal-sized
wedges and it lands on red, which represents one of the those wedges. You determine that probability to be 1/8 or 0.125.
Identify if the following is experimental, classical, or subjective simple probability:
Answers
the answer is 1/8. Because you divide how many pieces there are by that same number.
Need help ASAP! Directions in picture;)
Answers
Answer:
x=94/5
Step-by-step explanation:
10x-8=180
10x=188
x=188/180
x=94/5
i need this pleaseeeee!!!!
(a) The population of a certain city decreased by 4000 people. Write a signed number to represent this population change.
and also b!!!!
Answers
Answer:
the answer is 0004..................