In the diagram below, TU is parallel to Q R. If
RU = 12, TU = 25, and QR = 40, find the length of
SU. Figures are not necessarily drawn to scale. State
your answer in simplest radical form, if necessary.
Answers
Given that ΔQSR and ΔTSU are similar triangles, therefore, the length of SU is: 20.
Recall:
When two triangles are similar, the ratio of their corresponding side lengths are equal.Thus, given the figure attached below, ΔQSR and ΔTSU are similar to each other.
Therefore:SR/SU = QR/TU
SR = RU + SU = 12 + SU
SU = ?
QR = 40
TU = 25
Plug in the values
[tex]\frac{12 + SU}{SU} = \frac{40}{25}[/tex]
Cross multiply[tex](12 + SU)25 = 40(SU)\\\\300 + 25SU = 40SU\\\\300 = 40SU - 25SU\\\\300 = 15SU\\\\\mathbf{SU = 20}[/tex]
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Related Questions
I AM ON MY LAST BRAINLY POINTS! NOBODY WILL HELP ME T-T! EVERYBODY SENDS ME RANDOM LINKS! IF U HELP ME U CAN GET THE CROWN
David mixed 5 3/8 cups of popcorn with 3 5/8 cups of pretzels. He then divided the snack into bags with 2/3 cups in each. After dividing, how many bags of snack bags will David have?
Answers
Answer: 13.5 bags
Explanation:
5 3/8 = 43/8
3 5/8 = 29/8
43/8 + 29/8 = 9
9 divided by 2/3 is 13.5
Hope this helps :)
Answer:
[tex]13 \frac{1}{2} [/tex]
Step-by-step explanation:
So first we can add the two snack together
So the
[tex]5 \frac{3}{8} + 3 \frac{5}{8} = 9[/tex]
Once we have that we can say 9÷2/3
And this will give us 13.5 or 13 and a half.
I really hope this helps
Tina needs 36 flowers for her next project. The flowers are sold in bunches
of 5.How many bunches will she need?
Answers
Use a calculator to solve this question. This cube has volume 50cm cube. Work out the length of the side of the cube to 2 dp.
Answers
[tex] \sf \: = \sqrt[3]{50} \: \:cm \\ \sf \: = 3.68 \: cm[/tex]
So the length of the side of the cube is 3.68 cm.Answer:
3.68 cm
Hope you could get an idea from here.
Doubt clarification - use comment section.
Write an inequality that represents the graph
Answers
Step-by-step explanation:
first step is to define the line, and then, secondly find the right direction of the inequality.
we see a few nice points with integer coordinates.
the one on the y-axis is particularly helpful (0, 1), as it gives up the y- intercept right away (1).
another point is (1, 3).
so, the slope is
x changes by +1 (from 0 to 1)
y changes by +2 (from 1 to 3)
so the slope is 2/1 = 2
that means our equation is
y = 2x + 1
the graph says that the inequality is everything bigger than the line value, and the line is not included (dashed line).
so, we get
y > 2x + 1
I really need help!
If two noncollinear segments on a coordinate plane have a slope of 3, what can you conclude?
Answers
Answer:
Two non co-linear segments with a slope of 3 in a coordinate plane would mean that the two segments are parallel to each other and not attached to each other. Having the same slope is the definition of being parallel in the same plane.
Step-by-step explanation:
Describe the slope of the line with the equation
y = -4x + 10.
A: positive slope
B: negative slope
C: zero
D: undefined
Answers
[tex]\huge \tt༆ Answer ༄[/tex]
The given equation of the line is in slope intercept form, and if we equate the given equation with general equation of line (y = mx + c) , we will get slope (m) = -4
And therefore, the slope of the line is B
NegativeYou invest $4,300 in an account that pays you an interest rate of 8.5%, compounded continuously. Calculate the balance of your account after 10 years. Round your answer to the nearest hundredth.
Answers
Answer:
The amount is $8358.7 and the interest is $3858.7.
Explanation:
STEP 1: To find amount we use formula:
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
Step-by-step explanation:
1.0.2217.9-(4.1 + 1.8)] -0.22+ [7.9 - 0.224
Answers
Answer:
hhhhhhhhhhhhhh
Step-by-step explanation:
nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times its width. What is the perimeter of Janice's fence if the area of her garden s 5,670 square feet?
Answers
Answer:
P = 342 ft
General Formulas and Concepts:
Pre-Algebra
Evaluations
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightDistributive Property
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTerms/Coefficients
Factoring/ExpandingQuadratics
Solving quadratic equationsStandard Form: ax² + bx + c = 0Geometry
Area of a Rectangle Formula: A = lw
l is lengthw is widthPerimeter of a Rectangle Formula: P = 2w + 2l
l is lengthw is widthStep-by-step explanation:
Step 1: Define
Identify variables.
A = 5670 ft²
"Length that is 9 feet less than 3 times its width" → l = 3w - 9
Step 2: Find w
Substitute in variables [Area of a Rectangle Formula]: w(3w - 9) = 5670[Distributive Property] Expand: 3w² - 9w = 5670[Subtraction Property of Equality] Rewrite [Standard Form]: 3w² - 9w - 5670 = 0[Quadratic] Factor: 3(w - 45)(w + 42) = 0[Quadratic] Solve [Find roots]: w = -42, 45Since length/width cannot be negative, we know that w = 45 ft.
Step 3: Find l
Substitute in w [Length Formula]: l = 3(45) - 9[Order of Operations] Evaluate: l = 126 ftStep 4: Find Perimeter
Substitute in variables [Perimeter of a Rectangle Formula]: P = 2(45 ft) + 2(126 ft)[Order of Operations] Evaluate: P = 342 ft∴ The perimeter of Janice's fence is 342 ft.
Let width be x ft
Length be 3x-9ft
Now
Area=Length ×Breadth5670=x(3x-9)5670=3x²-9x3x²-9x-5670=0On solving we wI'll get x=-42,45
Take it positive
x=45width=45ftLength=3(45)-9=135-9=126ftNow
Perimeter
2(Length+Width)2(45+126)2(171)342ftis y =6x a linear function
Answers
Answer:
Yes
Step-by-step explanation:
Here is the graph!
Yes.
y = 6x is a linear function because it makes a straight line on the graph. Also, the degree is 1.
____
Hope it helps ⚜
James is from Rochester. Today, he has to travel to Cannon Falls for a morning meeting and then to Austin for an afternoon meeting and then home again. Cannon Falls is 45 miles directly north of Rochester. Austin is 42 miles directly west of Rochester. There is a nice straight road from Cannon Falls to Austin. Calculate the total distance he will be driving. Round your answer to the nearest mile.
(Drawing a map may be helpful.)
Answers
Answer:
His total distance is 149 miles.
Step-by-step explanation:
Use the Pythagorean theorem to find the value of the straight road from cannon falls to austin. Then add that value with 42 and 45.
for these two rates, calculate the unit rate and determine if these two rates are proportional
Answers
5. What linear function defines the following Arithmetic Sequence?
-4, -1, 2, 5, 8,...
an = 4 - 3(n-1)
an = -4 -3(n-1)
an = 4 + 3(n - 1)
an = -4 + 3(n - 1)
Answers
Answer
A
Step-by-step explanation:
The linear function defines the arithmetic sequence is an = -4 + 3(n - 1). The correct option is D.
What is an arithmetic progression?
The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given series is -4, -1, 2, 5, 8. The common difference of the series is calculated as,
d = -1 - ( -4 )
d = -1 + 4
d = 3
The equation will be written as,
an = a₁ + d(n - 1)
an = -4 + 3(n - 1)
Therefore, the linear function that defines the arithmetic sequence is an = -4 + 3(n - 1). The correct option is D.
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#SPJ2
what is the value of the 4 in the number 546210?
give your anwer in words
Answers
Answer:
1000
Step-by-step explanation:
Answer:
10000 or 40000 pls mark this answer as brain list
Calculate the volume of a sphere with radius 2.5 meters.
36.81 m3
65.45 m3
8.18 m3
26.18 m3
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
Let's calculate the volume of sphere with :
radius = 2.5 m[tex] \sf \: vol = \dfrac{4}{3} \pi {r}^{3} [/tex]
Now, plug the value of radius (r) and find volume ~
[tex] \sf \dfrac{4}{3} \times 3.14 \times 2.5 \times 2.5 \times 2.5[/tex][tex] \sf \dfrac{12.56}{3} \times \dfrac{25 \times 25 \times 25}{1000} [/tex][tex] \sf \dfrac{12.56 \times 15625}{3} \times \dfrac{1}{1000} [/tex][tex] \sf \approx65416.67 \times \dfrac{1}{1000} [/tex][tex] \approx65.416[/tex]The value closest to it is 65.45
Therefore, that's the most appropriate choice ~
[tex] ꧁ \large \rm{kaul} \: ꧂[/tex]
Select all relations that represent function
Answers
nineteen students named lacrosse as there favorite sport. explain how to use the circle graph for the total number of students? 20% chosr swimming 42% chose volleyball and 38% chose laccrosse
Answers
The total number of students is 50
The number of students that named lacrosse as their favorite sport is given as:
[tex]Lacrosse = 19[/tex]
From the circle graph, 38% chose lacrosse.
So, the proportion of students that represent lacrosse is:
[tex]Lacrosse = 38\% \times Students[/tex]
Substitute 19 for lacrosse
[tex]19= 38\% \times Students[/tex]
Multiply both sides by 100
[tex]1900 = 38 \times Students[/tex]
Divide both sides by 38
[tex]50 = Students[/tex]
Rewrite as:
[tex]Students = 50[/tex]
Hence, the total number of students is 50
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MAS CARDS
5. Determine if the equation has one solution, no solution, or infinite
solutions.
-2(x – 3) + 5 = -6(x + 1) + 4x
One solution
No solution
Infinite solutions
Answers
-2(x-3)+5=-6(x+1)+4x
Multiply to get rid of the parentheses
-2 x X = -2x
-2x-3=6
6 x X = 6x
6x1=6
New equation = -2x+6+5=-6x+6+4x
Add same
6+5=11
-6x + 4x = -2x
New equation = -2x+11=-2x+6
That just doesn’t work
Answer:
No solution
Step-by-step explanation:
-2(x-3)+5= -6(x+1)+4x
First Distribute:
-2x+6+5= -6x-6+4x
Then transfer all variables to one side and the rest to other side:*when transfer u turn to opposite number for example: -6x will transfer to 6x
6+5+6= -6x+4x+2x
Last solve
17=0
no solution
At the bakery shop, each baker works at his or her own speed, making the same number of cakes each day. Marissa makes 28 cakes in 2 weeks, Carlos makes 60 cakes in 20 days, and Shelby makes 5 cakes in 2 days.
When the shop owner graphs the relationship between the number of cakes made and days, who has the steepest graph? Explain.
Answers
Answer:
The rate of speed is Carlos
Step-by-step explanation:
M- 28 c in 14 days
C- 60 c in 28 days (2x as much as M)
S- 5 c in 2 days
Solve for g.
f=1/3(g+h-k)
help it’s timed
Answers
Answer:
g = 3f - h + k
Step-by-step explanation:
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
31. What are the perimeter and area
of AXYZ?
Х
5
W
Y
m
12
12
9
greater than
and less than
Z
=
A P= 28; A = 540
B P=42; A = 84
© P= 50; A = 216
DP= 54; A = 57
Answers
Answer:
tbh idek bc the pen pen duck duck duck goose I don't know I'm doing this for the beginning part
Here is a trapezium.
20 m
Jenny wants to work out the area of
the trapezium.
13 m
She writes:
13 m
N
12 m
area =-
ol
(20+30)(13)
+5 m
+5 m
=(10+30)(13)
= 40x13
= 520 m²
What two mistakes did Jenny make in her method?
Answers
Answer:
Jenny wants to work out the area of
the trapezium.
13 m
She writes:
13 m
N
12 m
area =-
Step-by-step explanation:
A smoothie calls for of a peach, 8. of a banana, and a kiwi. What is the total quantity of fruits used for the smoothie
Answers
No of banana and kiwi = 8
So,
= 8×8
=64
Solve the inequality:
12+x≥3(x-6)
Answers
Hello there! :)
The first step is to use the Distributive Property.
It states that
a(b+c)=ab+ac
Let's distribute 3, using this property:
3(x-6)=3x-18
Now, our inequality looks like so:
12+x≤3x-18
The next step is to move the variables to the left, using the opposite operation:
12+x-3x≤-18
12-2x≤-18
Now, move all the numbers to the right, using the opposite operation:
-2x≤-18-12
-2x≤-30
Divide both sides by -2 to isolate x.
Remember that when we divide by a negative variable, we change the inequality sign:
x≥15
Therefore, x≥15
Hope it helps.
~A lonely teen who helps others with a smile
-Grace :-)
Good luck.
Raymond has 3 pounds of birdseed. He has 5 bird feeders in his yard. How much seeds can he put in each feeder?
Answers
Answer:
The answer is 0
Step-by-step explanation:
Based on the given conditions, formulate: 3 ÷ 5
Evaluate the equation/expression: 0.6
Find the largest integer less than or equal to : 0.6 : 0
Answer: 0
what does x equal?
3/4(x+21)=10 1/2
Answers
Hope this helps :)
Please help me!!!!!
Answers
Answer:
y = - [tex]\frac{2}{5}[/tex] (x - 5)² + 7
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (5, 7 ) , then
y = a(x - 5)² + 7
To find a substitute (10, - 3 ) into the equation
- 3 = a(10 - 5)² + 7 ( subtract 7 from both sides )
- 10 = 5²a = 25a ( divide both sides by 25 )
[tex]\frac{-10}{25}[/tex] = a , that is
a = - [tex]\frac{2}{5}[/tex]
y = - [tex]\frac{2}{5}[/tex] (x - 5)² + 7 ← in vertex form
PLZ HELP ME
NO LINKS PLZ
Answers
Answer:
the domain is -11,10 but i didnt know if you wanted that or not
Step-by-step explanation:
X
Multiply by taking
Multiply.
20 X 600
Stuck? Review related articles/videos or use a hint.
Answers
…………
No files please help me on this for math
Answers
Answer:
y=3x+8
Step-by-step explanation:
Answer:
y=1.5x+11
Step-by-step explanation: