In triangle RTS △RTS shown below, point U is on
ST, and point V is on RT so that angle RST UVT∠RST≅∠UVT. If ST=13 VT=5, and RV=13.2, find the length of TU. Figures are not necessarily drawn to scale.
Answers
Answer: 7
Step-by-step explanation:
As [tex]\angle T \cong \angle T[/tex] by the reflexive property, we know that [tex]\triangle RST \sim \triangle UVT[/tex] by AA.
Since corresponding sides of similar triangles are proportional,
[tex]\frac{UT}{5}=\frac{13.2+5}{13}\\UT=(5)\left(\frac{13.2+5}{13} \right)=\boxed{7}[/tex]
Related Questions
Derrick grows vegetables on a circular patch of land. The radius of the patch is 16 meters. What is the approximate area of the patch of land?
Answers
Answer:
A≈804.25m²
Step-by-step explanation:
A=πr2=π·162≈804.24772m²
Alan is on the swim team. Each week he swims a total of 6000 meters. How many kilometers does he swim each week
Answers
Answer:
6 km
Step-by-step explanation:
1000 meters equals 1 kilometer
Your friend is supposed to meet you at the beach between 12pm and 1:30pm. If you arrive at 12:25pm and you do not see you friend, what is the probability that you will have missed your friend? Express your answer as a percentage.
Answers
The probability that you will have missed your friend is 27.78%
How to determine the probability?The time of meeting is given as:
Time = 90 minutes (i.e 12pm and 1:30pm)
Your time of arrival is given as:
Arrival = 12:25pm
If you missed your friend, it means that your friend arrives earlier.
So, the time spent by your friend is:
Friend= 12:25 - 12 = 25 minutes
The probability that you will have missed your friend is:
P = 25 minutes/90 minutes
Evaluate
P = 27.78%
Hence, the probability that you will have missed your friend is 27.78%
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Solve for x, if 4x - 24 = 1 000.
Solve for x, if 7x = 343.
Solve for x, if x4 = 4 096.
Answers
4x-24=1000
=> 4x = 1000+24
=> 4x = 1024
=> x = 256
2)Given , 7x= 343
=> x = 343/7
=> x = 49
3) given , x^4 = 4096
=> x = fourth root of 4096
=> x = 8
Answer with step-by-step explanation:
1) 4x - 24 = 1000
Add 24 to both sides.
4x = 1024
Divide both sides by 4.
x = 256
2) 7x = 343
Divide both sides by 7.
x = 49
3) x⁴ = 4096
Find 4th root of both sides.
x = 8
The coach recorded the scores of nine different basketball players in their last game. ● The median number of points scored by these nine players was 13. ● The mean number of points scored by these nine players was 12. Part A: List 9 values that could represent this data set. Part B: A 10th basketball player on this team scored 12 points in the last game. If her score is added to this data set, how will the median and mean change? Explain your reasoning.
Answers
The values that could represent this data set include 5, 6, 9, 10, 12, 10, 4, 6, and 19.
How to calculate the mean?It should be noted that a mean simply means the average of a set of numbers.
In this case, the values that could represent this data set include 5, 6, 9, 10, 12, 10, 4, 6, and 19. Therefore, the mean will be:
= (5 + 6 + 9 + 10 + 12 + 4 + 6 + 19)/9
= 81/9
= 9
When a 10th basketball player on this team scored 12 points in the last game, the new mean will be:
= (81 + 12)/10
= 93/10
= 9.3
Therefore, there's an increase in mean.
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Find the values of x and y.
x=____
(b) y=_____
Answers
[tex]sin60 = \frac{opp}{hyp} \\ sin60 = \frac{y}{12 } \\ \frac{ \sqrt{3} }{2} = \frac{y}{12} \\ 2y= 12 \sqrt{3} \\ y = 6 \sqrt{3} [/tex]
[tex]cos60 = \frac{adj}{hyp} \\ cos60 = \frac{x}{12} \\ \frac{1}{2} = \frac{x}{12 } \\ 2x = 12 \\ x = 6[/tex]
Hope it helps
Please give brainliest
Jed places the letters A, B, C, D, E, F, G, H and I into a bag and picks 2 at random. What is the probability he chooses at least 1 vowel?
Answers
Answer:
0.583333333333Step-by-step explanation:
we have 9 letters
3 vowels: A , E , I
6 consonant: B, C, D, F, G , H
Consider the event V : «choosing at least 1 vowel»
[tex]\Longrightarrow \overline{V} \ \colon \ \text{choosing 2 consonant}[/tex]
[tex]p(V) =1-p\left( \overline{V} \right) =1-\frac{C^{2}_{6}}{C^{2}_{9}}=0.583333333333[/tex]
Jewel spins the pointer of a spinner. the spinner has 7 equal-sized sections labeled 1 to 7. what is the probability that jewel will spin a 7?
Answers
The answer is one in seven or (1/7)!!!!!!!!!!!!!!!!!!!!!!!!!!!!
which method is best for solving the system of equations,
3x+2y=4
-3x+y=2
Answers
The method which is best for solving the system of equations when you remove one variable by adding them is B Elimination
To answer the question, we need to know what system of equations are
What are system of equations?System of equations are pairs of equations that contain two unknowns
Ways of solving system of equationsWe have different ways of solving systems of equations which include
Guess and CheckEliminationGraphing and SubstitutionSince we have the system of equations
3x + 2y = 4
-3x + y = 2
The method which we can use to remove one variable by adding them is the elimination method.
Adding them, we have
3x + 2y = 4
+
-3x + y = 2
3y = 6
y = 6/3
y = 2
So, the method which we can use to remove one variable by adding them is B Elimination
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What is the domain of the given function?
{(3,-2), (6, 1), (-1, 4), (5, 9), (-4, 0)}
{x|x = -4,-1, 3, 5, 6}
Oyly=-2, 0, 1, 4, 9}
O {x|x = -4, -2, -1, 0, 1, 3, 4, 5, 6, 9)
Oyly=-4, -2, -1, 0, 1, 3, 4, 5, 6, 9)
h
Answers
Answer:
A
Step-by-step explanation:
the domain are the value on the x coordinate
i.e 3, 6, -1, 5, -4 = {-4,-1,3,5,6}
A sugar solution currently measures 250 degrees fahrenheit. the temperature of the solution increases 5 degrees per minute. the sugar solution will caramelize at temperatures greater than 310 and less than 338 degrees fahrenheit. which inequality can be used to find x, the number of minutes it will take for the solution to begin caramelizing?
Answers
The inequality which is used to find the number of minutes taken by the solution to begin caramelising is 310 < 250 + 5x <338. The correct answer is option A.
The complete question is given below:-
A sugar solution currently measures 250 degrees Fahrenheit. The temperature of the solution increases 5 degrees per minute. The sugar solution will caramelize at temperatures greater than 310 and less than 338 degrees Fahrenheit. Which inequality can be used to find x, the number of minutes it will take for the solution to begin caramelizing? 310 < 250 + 5x < 338 310 < 250 + 5x < 338 310 < 5(x + 250) < 338 310 < 5(x + 250) < 338
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions is called an inequality.
According to the given question.
The current temperature of a sugar solution is 250 degrees Fahrenheit. Per minute the temperature of the solution increases by 5 degrees. Also, x is the number of minutes taken by the sugar to caramelize.
⇒ The total increase in the temperature in x minutes = 25 + 5x
Since the sugar solution caramelizes at a temperature greater than 310 and less than 338.
Inequality will be given as:-
310 < 250 + 5x < 338
Therefore, the inequality which is used to find the number of minutes taken by the solution to begin to caramelize is given by 310 < 250 + 5x < 338.
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The Transamerica Pyramid Building in San Francisco is 853 ft tall with a square base that is 149 ft on each side.
To the nearest thousand cubic feet, what is the volume of the Transamerica Pyramid?
Answers
may someone help me with this question? Thank you!
Answers
3x5= 15
the answer is 9x+15
because the parentheses mean to multiply
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \:3(3x + 5)[/tex]
now plug in the value of x as 5
[tex]\qquad \sf \dashrightarrow \:3(3(5) + 5)[/tex]
[tex]\qquad \sf \dashrightarrow \:3(15 + 5)[/tex]
[tex]\qquad \sf \dashrightarrow \:3(20)[/tex]
[tex]\qquad \sf \dashrightarrow \:60 \: [/tex]
So, the equivalent value is 60
Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y+1=2(x+5)
Answers
Step-by-step explanation:
y + 1 = 2(x + 5) = 2x + 10
y - 9 = 2x
2x - y = -9
geometry please help (pentagons)
Answers
Answer:
144
Step-by-step explanation:
540 degrees is the sum of angles in a pentagon
Divide 540 by 5(number of sides) =108(interior angle)
Since there are two pentagons you do 108 X 2 = 216 degrees
Do 360 - 216 = 144
so your answer is right
what is the solution to the inequality below 14-2(x+1)< -4
Answers
Answer:
x > 8
Step-by-step explanation:
14 - 2(x + 1) < - 4 ← distribute parenthesis and simplify left side
14 - 2x - 2 < - 4
12 - 2x < - 4 ( subtract 12 from both sides )
- 2x < - 16
divide both sides by - 2 , reversing the symbol as a result of dividing by a negative quantity.
x > 8
The perimeter of the rectangle is 146 units. what is the length of the longer side? 14 units 28 units 33 units 45 units
Answers
Answer:
45
Step-by-step explanation:
perimeter is the sum of all sides
for rectangle, it's (length + width) x 2
so do the reverse: 146/ 2 = l + w
73-45 = 30 this means the longer side is 45
=> length is 45
Answer:c
Step-by-step explanation:just took the test
need help with this......
Answers
Based on the definition of sequence and the characteristics of the given sequence, the complete sequence is: 4, 543, 65432, 7654321, 876543210.
How to complete a sequence
Sequences are sets whose elements observes at least a condition. In this question we have a sequence formed by numbers formed by decimal digits ordered in descent way. Where the consecutive element has more digits than the previous one.
Then, we conclude that the complete sequence is: 4, 543, 65432, 7654321, 876543210.
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Find the derivative of 1/√s+2
Answers
Using the quotient rule, it is found that the derivative of the function is given as follows:
[tex]f^{\prime}(x) = -\frac{1}{2\sqrt{s}(\sqrt{s}+2)^2}[/tex]
What is the derivative of a quotient?Suppose a quotient function defined as follows:
[tex]f(x) = \frac{g(x)}{h(x)}[/tex]
Then, the derivative is given by:
[tex]f^{\prime}(x) = \frac{g^{\prime}(x)h(x) - h^{\prime}(x)g(x)}{h(x)^2}[/tex]
In this problem, we have that:
g(x) = 1.g'(x) = 0.[tex]h(x) = \sqrt{s} + 2[/tex].[tex]h^{\prime}(x) = \frac{1}{2\sqrt{s}}[/tex]Then, since g'(x) = 0, the derivative is given by:
[tex]f^{\prime}(x) = -\frac{1}{2\sqrt{s}(\sqrt{s}+2)^2}[/tex]
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Determine the type of quadrilateral created by the points of intersection of the lines x-y+3=0, y=x-2, y = -1/2x + 5, and x+2y+12=0.
Answers
The set of parallel lines in a quadrilateral leads to the parallelogram.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
Line M
x - y + 3 = 0,
y = x + 3
m = 1
Line L
y = x - 2,
m = 1
Line N
y = -1/2x + 5,
m = -0.5
Line P
x+2y+12=0
y = -x/2 - 6
m = -0.5
Here we can see that the slope of line M and L are equal and slope of line N and P are equal.
That quadrilateral in which opposite sides are parallel is called a parallelogram.
Hence, the set of parallel lines in a quadrilateral leads to the parallelogram.
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which graph below shows the solutions for the linear inequality y<1/3x-4
Answers
Step-by-step explanation:
the answer is C since y is less than. meaning that the line should be dashed and below the graph.
comment if you have any doubts.
find the volume of the pyramid
Answers
Volume is a three-dimensional scalar quantity. The volume of the right-triangular pyramid is 1.008 m³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of a right-triangle pyramid is one-third of the product of its base area and its height. Therefore, the volume is,
Volume = (1/3) × 0.5 × 1.4 × 1.8 × 2.4
= 1.008 m³
Hence, the volume of the right-triangular pyramid is 1.008 m³.
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What is the area, in square feet, of the isosceles trapezoid below?
Answers
Answer:
A≈78.54
Step-by-step explanation:
A¹=7.7×6.6=50.82(area of rectangle inside)
16.1-7.7=8.4/2=4.2
A²=6.6×4.2=27.72(area of triangles)
A=50.82+27.72=78.54
HELPPPPPPPPPPPPPPPPPP
Answers
Answer:
B
Step-by-step explanation:
if we consider the coordinates of the points
(2, 3 )
(5, 6 )
(7, 8 )
we can see that the y - coordinate in each case is 1 more than the x- coordinate, then
y = x + 1 is the required rule
Which of the following is an exponential function?
a. f(x)=x³ + 2x²² -6
b. f(x) = 5/x
c. f(x) = 5x + 2
d. f(x) = 4x²
e. f(x) = 4x*2*
Answers
f(x) = 4²ˣ, this is an exponential function. Then the correct option is E.
What is an exponent?Let a is the base and x is the power of the exponent function and b is the y-intercept. The exponent is given as
y = aˣ + b
The exonentuial functions are given below.
a. f(x)=x³ + 2x²² -6, this is not an exponential function.
b. f(x) = 5/x, this is not an exponential function.
c. f(x) = 5x + 2, this is not an exponential function.
d. f(x) = 4x², this is not an exponential function.
e. f(x) = 4²ˣ, this is an exponential function.
Then the correct option is E.
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Help please with problem 2 I will mark brainliest
Answers
Answer:
During the rapid diagnostic test of coronavirus among 250 people 96% were found negative .how many people were found negative
Пожалуйста помогите с решением
Answers
Answer:
( x, y) =
[tex]65 \ \frac{15}{11} [/tex]
this is your answer
Can someone help me with this
Answers
The main goal of a personal budget is to
have income equal expenses
have expenses be greater than income
have income be greater than expenses
create personal savings
Answers
Answer:
have income be greater than expenses
Step-by-step explanation:
I hope this helps you! Feel free to give feedback :)
Answer:
Both C and D are basically right but I would mainly lean towards D
Create Personal Savings
Step-by-step explanation:
this isn't a math question btw
Have a nice day! :)
What is the value of x?
2
3
6
7
Answers
The answer is 2
Answer: 2
Step-by-step explanation:
DE * CE = AE * BE (Two Secants Segment Theorem)
▪︎ DE = 1 + x + 4
▪︎ CE = x + 4
▪︎ AE = 11 + x + 1
▪︎ BE = x + 1
=> (1 + x + 4)(x + 4) = (11 + x + 1)(x + 1)
=> (x + 5)(x+4) = (x + 12)(x + 1)
=> x^2 + 9x + 20 = x^2 + 13x + 12
=> 9x + 20 = 13x + 12
20 - 12 = 13x - 9x
8 = 4x
x = 2