Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
The polygons are similar, but not necessarily drawn to scale. Find the value of x.
Answers
x-1 = 4/3 . 6
x = 24/3 + 1 = 9
32/24 = (y+1)/21
y+1 = 4/3 . 21
y = 84/3 - 1 = 25
The value of x is given from proportion and x = 9
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the first polygon and second polygon be similar
So , the ratio of their corresponding sides will also be similar
Substituting the values in the equation , we get
( x -1 ) / 6 = 16 / 12 be equation (1)
On simplifying the equation , we get
Multiply by 6 on both sides of the equation , we get
( x - 1 ) = ( 16 x 6 ) / 12
( x - 1 ) = 16 / 2
On simplifying the equation , we get
x - 1 = 8
Adding 1 on both sides of the equation , we get
x = 9
And ,
( y + 1 ) / 21 = 32 / 24 be equation (2)
On simplifying the equation , we get
Multiply by 21 on both sides of the equation , we get
( y + 1 ) = ( 4 x 21 ) / 3
y + 1 = 4 x 7
y + 1 = 28
Subtracting 1 on both sides of the equation , we get
y = 27
Hence , the value of x is 9
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Related Questions
PLZZZZ HELP
A. 178.3
B. 196.5
C. 250.8
D. 292.5
E. 297. 1
Answers
Answer:
E, 297.1
Step-by-step explanation:
First, find the area of the triangle using the formula a= (bh) / 2
Base x height would be 16 x 12, which is 192
192 / 2 is 96 sq meters
Then, find the area of the circle using the formula a= Pi (r^2)
If the diameter is 16, the radius would be 8 because you divide by 2
8^2 is 64, 64 times Pi is approximately 201.1
Finally, add the areas together, 96 + 201.1 is 297.1 or E
John bought a crate of floor tiles $100. The crate had 5 boxes of floor tiles. Each box contained 40 floor tiles. What is the cost per tile ?
Answers
There are a total of 200 tiles (5 x 40)
since John paid $100 for the 200 tiles,
We have to do $100 divided by 200.
Which is .5
So $.50
Please help will give brainliest
At a local aquarium there is a large cylinder shaped fish tank. The fish tank has a diameter of 8 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder of cylinder in cubic feet? 8.6.A *
V = π(8)²h
V = π(4)²h
V = π(4h)²
V = π(8h)²
Answers
Answer:
(A) V = π(8)²h
What is the solution of the system?
2x + 5y = 14
2 + 3y = 16
pls help
Answers
Answer:
x=-14/3,y=14/3 but if there is x at the second wan.then,x=19/2,y=-1
» Which shape is a parallelogram with 4 right angles?
Answers
Answer:
rectangle
Step-by-step explanation:
Answer: Rectangle
Step-by-step explanation: Hope this helps ! :)
Which point represents the unit rate?
A
B
C
D
Answers
Answer:
d
Step-by-step explanation:
what is the product of (8-3a)(8-3a)
Answers
Answer:
i think is is 64a
Step-by-step explanation:
Answer:
[tex](8 - 3a)(8 - 3a) \\ 8(8 - 3a) - 3a(8 - 3a) \\ 64 - 24a - 24a + 6a {}^{2} \\ 64 - 48a + 6a {}^{2} \\ 6a {}^{2} - 48a + 64[/tex]
Which expression is equivalent to the following: 5(6f + 5)
Answers
Answer:
30f+25 I hope it is a right answers
I hope this answers is useful for you
How many days in 33 weeks?
Plss hellpppp....
Answers
Answer:
There are 231 ;)
Step-by-step explanation:
Answer:
231:)
Step-by-step explanation:
A 30-foot long escalator forms a 41° angle at the second floor. Which is the closest height of th
141
30 feet
A 20 feet
B. 22.5 feet
C. 24.5 feet
D. 26 feet
Answers
Answer:
[tex]\huge\boxed{\text{B) } 22.5 \ \text{feet}}[/tex]
Step-by-step explanation:
We can use basic trigonometric functions to find the closest height of the escalator.
Let's set up a picture from what we already know. The length of the escalator is 30 feet, and it forms a 41 degree angle with the top. Since it will form a 90 degree angle with the ground, we can find the angle between the ground and the beginning of the escalator.
Since all triangles have an angle sum of 180:
[tex]90+41+x=180[/tex] [tex]131+x=180[/tex] [tex]x = 180-131[/tex] [tex]x=49[/tex]Now we know that the triangle looks something like this.
/ | 41°
/ |
/ |
/ |
30 / |
/ |
/ |
/ |
/__________| 90°
49°
We need to find the length of the side between the 41 and 90° angle.
To find which trigonometric operation to use on this triangle, we can use the acronym SOH CAH TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
We can use the sine of the 49 degree angle (opposite / hypotenuse) to find our missing side (since we know the hypotenuse).
Let's set up an equation and solve with our calculator.
[tex]\text{sin}(49) = \frac{\text{opposite}}{\text{hypotenuse}}[/tex] [tex]\text{sin}(49) = \frac{x}{\text{30}}[/tex] [tex]30 \cdot \text{sin}(49) = x[/tex]We can calculate the sine of 49 with our calculator. We'd end up multiply 30 and that value and get 22.6.
Since the closest value to 22.6 on the answer choices is 22.5, the correct answer would be B) 22.5 feet.
Hope this helped!
Answer:
The answer is B.
Step-by-step explanation:
B. 22.5 feet
Nora is a high school basketball player. How many points would Nora score in a game if she made 4 free throws (worth one point each) and 2 three point shots? How many points would Nora score in a game if she made x free throws and y three point shots?
Answers
Answer:
10
Step-by-step explanation:
4(1)+2(3)=10
Nora would score 10 and for x free throws and y three point shots x + 3y.
What is linear Equation?When graphed, a linear equation always produces a straight line because it is an algebraic equation with each term having an exponent of 1. It is referred to as a "linear equation" for this reason.
One-variable linear equations and two-variable linear equations exist.
Given
points on free throws = 1
points on 4 free throws = 4x1 = 4
and points on 2 three point shot = 2x3 = 6
total points are 4 + 6 = 10
and if she made x free throws then points are = 1x
and for y three point shots = 3y
total points for x free and y three point shots
x + 3y
Hence the points are 10 and x + 3y.
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PLEASE NEED HELP ASAP
Answers
Answer:
Trapezoid
Step-by-step explanation:
They're showing us (with red arrows/triangles) that the bottom and top are parallel, but do not state anything like it for the sides.
That means it's at least a trapezoid.
As nothing suggests the sides are parallel, it's likely not a parallelogram (and it doesn't look like one).
It's also not a kite, as there is no indication that pairs of neighboring sides are equal in length.
As we don't think it's a parallelogram, it's thus not a rectangle (every rectangle is a parallelogram).
Similar with rhombus (every rhombus is a parallelogram) and square (every square is a parallelogram AND a rhombus).
Worth lots of points
What is the rule for the following geometric sequence? 64, -32, 16, -8
A: an=32(-1/2)^n-1
B:an=32(2)^n-1
C:an=32(1/2)^n-1
D:an=32(-2)^n-1
Answers
Correct answer: aₙ = a₁ · 2ⁿ⁻¹
Step-by-step explanation:
Given: Geometric sequence
64, 128, 256, 512, .....
First term a₁ = 64
Second term a₂ = a₁ · 2 = 128
Third term a₃ = a₂ · 2 = a₁ · 2² = 256
Fourth term a₄ = a₃ · 2 = a₁ · 2³ = 512
...................................................
n - th term aₙ = a₁ · 2ⁿ⁻¹
God is with you!!!
At Shop A, 2 pounds of crawfish costs $6. At Shop B, 5 pounds of crawfish costs $15. Jacoby says the cost per pound is the same at both shops. Is Jacoby correct? Explain your reasoning.
Answers
Answer:
Jacoby is correct.
Step-by-step explanation:
Shop A= $6 ÷ 2 = $3/pound
Shop B= $15 ÷ 5 = $3/pound
Eva took a taxi from her house to the airport. The taxi company charged a pick-up fee of $3.20 plus $3 per mile. The total fare was $33.20, not including the tip
Answers
Answer: 10 miles
Step-by-step explanation:
You can set this up as an equation where x will represent the number of miles charged. So if we know how much the pick up fee is, how much it is per mile and the total charge we can set up the equation as follows:
3.20 + 3x = 33.20
If we solve for x we will find out how many miles she traveled. So to do so we need to get x on one side and the other numbers on the other side of the equal sign. So to begin we'll subtract 3.20 from both sides:
3x = 30.00
and then divide both sides by 3:
x = 10
So she traveled 10 miles.
The Taxi ride was 10 miles.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We can set an equation where x will represent the number of miles charged. So, the total charge we can set up the equation as follows:
3.20 + 3x = 33.20
If we solve for x we will find out the miles she traveled.
Then subtract 3.20 from both sides:
3x = 30.00
then divide both sides by 3;
x = 10
Therefore, she traveled 10 miles.
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Which quadrilaterals are considered parallelogram
Answers
Answer: Rectangle, Rhombus, Square
Step-by-step explanation:
Match each type of investment with its disadvantage.
T-bills
Property
A-rated bonds
Stocks
lesser return
arrowRight
higher risk
arrowRight
costly and time-consuming
arrowRight
no steady cash flow
arrowRight
Answers
Answer:
Lesser returns > T bills
Higher risks > A-rated bonds
Costly and time consuming > Property
No steady cash flow > stocks
Step-by-step explanation:
I just took the test
Can anyone give me the answer and tell me how you did it?
Mary sells fruit with four of her friends. They want to make enough money so that, after splitting the earnings evenly,each person earns $30.
Solve the equation for this problem.
After you find the answer you need to find out if its cents, dollars,partners,or fruit
Thank you!
Answers
Answer:
the answer is 150
Step-by-step explanation:
HELP ME PLSS BRAINIEST
Answers
Explaination: it’s the answer trust me on this one :D
PLS HELP ASAP! HURRY, GIVING BRAINLY!
Answers
The price per night for a hotel room is different at three different hotels. Hotel Nights Price (in dollars) A AA 3 33 192 192192 B BB 5 55 300 300300 C CC 7 77 455 455455
Answers
Answer:
Hotel B is the least expensive
Step-by-step explanation:
Given
See attachment for clear details
Required
The least expensive
To do this, we simply divide the total cost by the number of nights to get the unit price
i.e.
[tex]Unit = \frac{Price}{Nights}[/tex]
Hotel A
[tex]Nights = 3\\Price= 192[/tex]
[tex]Unit = \frac{192}{3}[/tex]
[tex]Unit = \$64[/tex] per night
Hotel B
[tex]Nights = 5\\Price= 300[/tex]
[tex]Unit = \frac{300}{5}[/tex]
[tex]Unit = \$60[/tex] per night
Hotel C
[tex]Nights = 7\\Price= 455[/tex]
[tex]Unit = \frac{455}{7}[/tex]
[tex]Unit = \$65[/tex] per night
From the calculations above;
Hotel B is the least expensive because 60 is less than 64 and 65
6th Grade Math:
A 5-pound bag of cat food costs $11. What is the unit price of the cat food?
Answers
Answer:
The unit rate is 2.20. For a single pound of cat food it would cost $2.20
$7,000 is invested in an account that earns 1.5% annual interest, compounded quarterly. What is the value of the account after 18 years?
Answers
Answer:
$9,151.38
Hopefully that is correct!!
Why is the applied effort only ½ of the weight to be lifted in the movable single pulley system?
Answers
Answer: I would find that the anwser would be, It requires only ½ the effort to lift the load because there is more than 1 rope arm.
Step-by-step explanation
Just took a test on this, I passed
Nirvany went on a 65,000 m hike. She divided the distance traveled evenly over 5 days. Approximately how many miles did Nirvany walk each day?
Answers
Answer:
13000m
Step-by-step explanation:
Given data
Total distance travelled= 65,000
Number of days= 5 days
Hence the distance covered per day is
= 65,000/5
=13000m
Therefore the distance covered per day is 13000m
what are the coordinates for the center of the circle in the length of the radius X squared plus Y squared minus X minus 2Y -11 over four equals zero
Answers
Given:
The equation of a circle is:
[tex]x^2+y^2-x-2y-\dfrac{11}{4}=0[/tex]
To find:
The center of the circle and its radius.
Solution:
The standard form of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex] ...(i)
Where, (h,k) is center and r is the radius of the circle.
The given equation of the circle is:
[tex]x^2+y^2-x-2y-\dfrac{11}{4}=0[/tex]
Write the given equation in standard form of a circle.
[tex](x^2-x)+(y^2-2y)-\dfrac{11}{4}=0[/tex]
[tex]\left(x^2-x+\left(\dfrac{1}{2}\right)^2\right)+(y^2-2y+1^2)-\dfrac{11}{4}-\left(\dfrac{1}{2}\right)^2+1^2=0[/tex]
[tex]\left(x-\dfrac{1}{2}\right)^2+(y-1)^2-\dfrac{11}{4}-\dfrac{1}{4}-1=0[/tex]
[tex]\left(x-0.5\right)^2+(y-1)^2-\dfrac{12}{4}-1=0[/tex]
On further simplification, we get
[tex]\left(x-0.5\right)^2+(y-1)^2-3-1=0[/tex]
[tex]\left(x-0.5\right)^2+(y-1)^2-4=0[/tex]
[tex]\left(x-0.5\right)^2+(y-1)^2=4[/tex]
[tex]\left(x-0.5\right)^2+(y-1)^2=2^2[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]h=0.5,k=1,r=2[/tex]
Therefore, the center of the circle is (0.5,1) and radius is 2 units.
Jack earned $ 172,874 in 6 months. On an average, about how much did he earn each month?
Answers
Answer:
172,872÷6=28,812.33 I believe this is the answer
Help! 30 Points! Find x
Answers
Answer:
do math
Step-by-step explanation:
Find the percent of change. Round your answer to the nearest tent necessary, Please explain.
Original price: $185
New price: $160
Original number of students: 56
New number of students: 77
Answers
Answer:
No answer just clues
Step-by-step explanation:
x/100*160/1=185/1
y/100*56/1=77/1
I just can't do anymore metal math today, sorry.
Joey went bowling at the Frank's Bowling Center. Shoe rental was $1.25 and games
were $1.50 each. If he spent $8.75 on shoe rental and games, how many games did
he bowl?
HELP PLS
Answers
Answer:
5 games
Step-by-step explanation:
1.50x + 1.25 = 8.75
1.50x = 7.50
x = 5