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.
Learn more about the collinear points visit:
https://brainly.com/question/15984206
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Related Questions
can someone help me. its hard
Answers
Answer:
complementary angles
Step-by-step explanation:
We know that complementary angles add up to 90 degrees which is andgles a and b.
By the way, can you follow me on Brainly?
Thanks!
Answer:
B. Complementary angles
Step-by-step explanation:
angle a + angle b = 90 degrees
the two angles form a right angle
two angles that add up to 90 degrees are called complementary angles
Khloe invested $11,000 in an account paying an interest rate of 4.8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 17 years?
Answers
Answer:
i just did this problem its 24,880
Step-by-step explanation:
A map of the Orchid Hill Neighborhood is shown. The population of Orchid Hill Neighborhood is 360 people.
Answers
Answer:
(a) The area is 0.03 square miles
(b) The population density is 12000 people per square miles
Step-by-step explanation:
Given
See attachment for complete question
Solving (a): Area of Orchid Hill (in square miles)
The dimension of the neighborhood is 4 blocks by 3 blocks
Since each block are of the same dimensions
The area is calculated as:
[tex]Area = 4blocks * 3 blocks[/tex]
If [tex]20\ blocks = 1\ mile[/tex] then:
[tex]1\ block = \frac{1}{20} mile[/tex]
[tex]1\ block = 0.05mile[/tex]
So, we have:
[tex]Area = 4blocks * 3 blocks[/tex]
[tex]Area = 4 * 0.05 * 3 * 0.05[/tex]
[tex]Area = 0.03mi^2[/tex]
Solving (b): The population density of the neighborhood as people per square mile
From the question, we have:
[tex]People = 360[/tex]
[tex]Area = 0.03mi^2[/tex] --- calculated
So, the population density is:
[tex]Density = \frac{People}{Density}[/tex]
[tex]Density = \frac{360}{0.03}[/tex]
[tex]Density = 12000[/tex]
-10 + 4(3b + 10) = 19
And show work, please :)
Answers
Answer:
b= -11/12
Step-by-step explanation:
- 10 + 4(3b+10) = 19
-10 + 12b+40 = 19
40-10+12b=19
30+12b=19
-30 -30
12b= -11
/12 /12
b= -11/12
V 144 belongs to the set of integers.
O True
O False
Answers
Answer:
True
Step-by-step explanation:
[tex] \sqrt{144} [/tex]
is a rational number.
It is also a perfect square which means it is an integer.
Hope this Helps!:)
Answer:
Step-by-step explanation:
True. √144 = 12 (an integer) or 12/1, which is rational.
The difference between the tens digit and ones digit of a two-digit number is 4. The number is 45 greater than the number created when the digits are reversed. What is the two-digit number?
Answers
Answer:
180
Step-by-step explanation:
beacause if you did
45 x 4 = 180
180- 184 = 4
sorry it's 3 digit number
MARKING BRAINLIST PLEASE HELP TYSM!!
Answers
Answer:
20 2/3
Step-by-step explanation:
I did the math and it is right
David has 5 yellow, 3 green, and 2 red gumballs in a bag. He takes out two at random and does replace them. A) What is the probability, , that the first gumball is green and the second is red? .
Answers
1/5
loolllllllll i neeeddd helpppp asapppppppp
Answers
The median is where the middle is so if you count on either side until you get to the middle you have the median. The average is all the numbers added up divided by the number of numbers ( you might want to check me incase I typed it in wrong on my calculator. The range is just the highest- the lowest:)
Hope this helps
Alyssa's mother was sick. Alyssa, went to the store and bought 2/10 pound of medicine, then another 1/10 of medicine. What would the answer be when you add them together? Denominator stays the same.
Answers
An equation is shown below:
4(2x − 5) = 4
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
Answers
Answer:
solution given:
4(2x − 5) = 4
2x-5=4/4
2x=1+5
x=6
Step-by-step explanation:
Part A:One
Part B:x=6
((−34)5)2 help me I'm confused AAAAAAAAAAAAAAAAAAAA
Answers
Answer:
340
Step-by-step explanation:
((-34)5)2
(-170)2
340
-3х-5= 16
What’s the value of x?
Explain
Answers
Answer:
x= -7
Step-by-step explanation:
You need to first add 5 to the -5. Even though the - is a subtraction sign, you can still count it as a subtraction sign. In order to balance it out again, so you add the 5 to the 16. 16+5=21, so the equation would be -3x=21. To get x by itself, you divide by -3. So, -3x/-3 and 21/-3. That gets rid of the -3, and you get a -7 as an answer.
what is 2x+5=y and 5x+4=y pls hurry
Answers
Answer:
( 1/3, 5 2/3) Or (0.33, 5.66)
Step-by-step explanation:
If you graph the 2 equations and see where they intersect, they will land on the answer.
PLEASE HELP DUE TODAY SOVLE BOTH PLSSS
ANSWER AS SOON AS POSSIBLE (NO FILES NO LINKS)
Answers
Answer:
Step-by-step explanation:
93 percent because 13 of the20 is Doritos
Answer:
a) 60%
b) 65%
Step-by-step explanation:
a) 30 ÷ 50 × 100 = 0.6 × 100
= 60%
b) 13 ÷ 20 × 100 = 0.65 ×100
= 65%
!!!PLEASE ANSWER QUICK!!!
Student Harrison Anita Juan Krista
Description Harrison shared his video with 7 friends. His friends continued to share it, doubling the number of viewers each day. Anita shared her photo with 41 followers. Each of them shared it with 2 friends, doubling the number of viewers each day. Juan shared his post with 4 friends, who each shared it with 4 more friends. They continued sharing at the same rate. Krista shared her photo with 6 friends, who each shared it with 3 friends. This pattern continued.
Social Media Shares f(x) = 7(2)x
Day
0
1
2
Viewers
41
82
164 Juan shared his post with 4 friends, who each shared it with 4 more friends. They continued sharing at the same rate. f(x) = 6(3)x
State which two students you are studying so your instructor knows for whom each partner is responsible.
Provide an exponential function representing Anita's social media shares.
Provide an exponential function representing Juan's social media shares.
Using the functions for each student, predict how many shares each student's post will have received on Day 3 and then on Day 10. Justify your answers.
Based on your results, which student's post travels the fastest? How is this shown in the equation form of the functions?
If you had to choose, would you prefer a post with fewer friends initially but more shares or more friends initially but fewer shares? Does your partner agree or disagree? Can you think of reasons why more or fewer shares are preferable? Justify your answer with your calculations from previous questions.
Answers
Answer:
Anita: f(x)=42(2)^x. 3. Juan: f(x)=3^x. 4. Harrison: f(x)=5(2)^x = f(3)=5(2)^3=5(8)=40
Step-by-step explanation:
Answer:
Step-by-step explanation:
Make sure you are dealing with the same values in your directions.
1. State which two students you are studying so your instructor knows for whom each partner is responsible. Harrison and Anita
2. Provide an exponential function representing Anita's social media shares.
f(x)= 41(2)^x
3. Provide an exponential function representing Juan's social media shares.
f(x)= 4^x
4. Using the functions for each student, predict how many shares each student's post will have received on Day 3 and then on Day 10. Justify your answers.
Harrison
f(x) =7(2)^x = f(3) = 7(2)^3 = 7(8) = 56
f(x) =7(2)^10 = f(10) = 7(2)^10 = 7(1024) = 7,168
Anita
f(x)= 41(2)^x = f(3) = 41(2)^3 = 41(8) = 328
f(x) =41(2)^10 = f(10) = 41(2)^10 = 41(1024) = 41,984
5. Based on your results, which student's post travels the fastest? How is this shown in the equation form of the functions?
Between students Harrison and Anita the post that travels the fastest was Anita at 41,984 posts.
f(x) = 41(2)^10
6. If you had to choose, would you prefer a post with fewer friends initially but more shares or more friends initially but fewer shares? Does your partner agree or disagree? Can you think of reasons why more or fewer shares are preferable? Justify your answer with your calculations from previous questions.
Fewer friends initially but more shares. If you want a post to go viral you want more shares with more people. The post was viewed 41,984 times in 10 days.
This represents sharing with 2 friends for 3 days.
f(x)= 41(2)^x = f(3) = 41(2)^3 = 41(8) = 328
This represents sharing with 2 friends for 10 days.
f(x) =41(2)^10 = f(10) = 41(2)^10 = 41(1024) = 41,984
PLEASE EMERGENCY HELP DONT LINK FILES!!!!
The floor of a storage unit in the shape
of a rectangular prism has an area of 106 1/4 square feet. The height of the storage unit is 7 1/2 feet. What is the volume of the storage unit?
A. 742 1/8ft B. 744 1/4 ft C. 795 1/4 ft D. 796 7/8 ft
Answers
Answer:
V = 796 7/8 ft^3
Step-by-step explanation:
The storage unit has a rectangular shape.
Thus, the volume is V = (area of floor)(height)
V = (106 1/4 ft^2)(7 1/2 ft)
V = 796 7/8 ft^3
Converting 106 1/4 ft to 106.25 makes it easier to use a calculator here. Same with 7 1/2 ft: 7.5 ft
A recipe for pie dough calls for a ratio of butter to flour of 4/5 : 3 1/3 . If you plan to use 6 2/3 cups of flour, how much butter should you use to keep the same ratio?
Answers
Answer:
1 3/5
Step-by-step explanation:
to determine the answer, take the following steps :
determine how much larger the amount of flour you intend to use is more than that indicated in the recipeMultiply the answer gotten in the above step by the amount of flower indicated in the recipe6 2/3 ÷ 3 1/3
20/3 x 3/10 = 2
2 x 4/5 = 8/5 = 1 3/5
4/3 (3.14) (8.5^3)
≈ 2571.13
= 2571. 1
Its says its wrong. What did I did wrong?
Answers
Answer: 4/3 (3.14) (8.5^3) = 771341/ 300 = 2571 41/ 300 ≅ 2571.1366667 this is what i got when i did it
Step-by-step explanation:
Last year, a lighting supplier called Bright Idea shipped a total of 37,220 lamps to its distributors. This year, the supplier shipped 29,776 lamps. What is the percent of decrease in the number of lamps shipped annually?
Answers
Answer:
25%
Step-by-step explanation:
Given data
Last years shipment= 37220 lamps
These years shipment= 29776 lamps
% Decrease= Initial-Final/Initial*100
% Decrease= 37220-29776/29776*100
% Decrease= 7444/29776*100
% Decrease= 0.25*100
% Decrease= 25%
Hence the decrease is 25%
please answer will give brainliest!!!!!
which interval in the photo has 7 cyclists??
Answers
Two vertices of a rectangle are (-10,-7) and (-10,18) what is the length of this side of the rectangle
Answers
This is due today, so pls help, thank you
Answers
Answer:
1. c 31.4 r 5 d 10
3. r 1.75 c 10.99 d 3.5
4. r 4 c 25.12 d 8
5. r 100 c 628 d 200
Step-by-step explanation:
d = 2(r)
c= (2)pi *r
plz plz plz plz plz HELP
Answers
Answer:
About $19.06
Step-by-step explanation:
25% of 23.98 is 5.995
23.98-5.995=17.985
6% of 17.985 is 1.0791
17.985+1.0791 is 19.0641,
which is $19.06
Brainliest?
20 points! Pls help!!
Answers
Answer:
s=8
Step-by-step explanation:
7-[tex]\frac{s}{2}[/tex]>3
14-s=6
-s>6-14
-s>-8
s<8
ILL GIVE BRAINLY FOR FIRSR ANSWER
Answers
Least to greatest: 0.44, 44.5%, 0.4445, 4/9
A. (-1,2)
B. (-2,4)
C. (2, -1)
D. (4, -2)
Answers
Please help if you know the answer
Answers
Answer:
5/12, 6/12 OR 1/2, 4/12 OR 1/3, 9/12 OR 3/4
Step-by-step explanation:
10. You currently have $40 dollars. You make $7.50 per hour at your part-
time job. If you worked 5 hours on Friday, 6 hours on Saturday, and 4 hours
on Sunday, how much money do you have in total?
Answers
Answer:
(B) $152.50
Step-by-step explanation:
Friday: 5 hours x $7.50 per hour = $37.50
Saturday: 6 hours x $7.50 per hour = $45
Sunday: 4 hours x $7.50 per hour = $30
$40 + $37.50 + $45 + $30 = $152.50
I would have (B) $152.50 in total.
Hopefully this helps :3 sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
If a room is measured to be 8 yards plus an extra 3 feet long, how many total feet is the room?
Answers
Answer:
27
Step-by-step explanation:
1 yard = 3 feet
8 x 3 = 24
24 + 3 = 27
