Pentagons STUVW and XYZAB are similar with XY = 32 , YZ = 36 , ST = 4c + 2 and TU = 5c + 2 What is the length of TU

Answers

Answer 1

Answer:

TU = 4.5units

Step-by-step explanation:

Since the pentagons are similar, hence the ratios of their similar sides will be equal to a constant.

Hence;

XY/ST = YZ/TU

Given the following

XY = 32

YZ = 36

ST = 4c + 2

TU = 5c + 2

Substitute into the expression as shown;

32/4c+2 = 36/5c+2

Cross multiply

36(4c+2) = 32(5c+2)

144c + 72 = 160c + 64

144c - 160c = 64 - 72

-16c = -8

c = -8/-16

c = 1/2

Recall that TU = 5c + 2

TU =5(1/2) + 2

TU = 2.5 + 2

TU = 4.5

Hence the length of TU is 4.5units


Related Questions

Move the numbers to the lines. Put them in order from greatest to least.

Answers

Answer:

3.09 , 3.45 , 3.65 , 3.89

Step-by-step explanation:

I dunno what to say besides common sense lmao

3.09 3.45 3.65 3.89 yes

Use the graph to answer the question.

Which parametric equations describe the curve?

A. x = cos(t) + 3 and y = sin(t) + 3 for 0 ≤ t ≤ π
B. x = cos(t) + 3 and y = sin(t) + 3 for 0 ≤ t ≤ 2π
C. x = 3cos(t) + 1 and y = 3sin(t) + 1 for 0 ≤ t ≤ π
D. x = 3cos(t) + 1 and y = 3sin(t) + 1 for 0 ≤ t ≤ 2π

Answer is C. Add an answer so it won't be archived!

Answers

C) x = 3cos(t) + 1 and y = 3sin(t) + 1 for 0 ≤ t ≤ π

Correct on Edge 2021

A circular plate has circumference 33.3 inches. What is the area of this plate? Use 3.14 for Pi.
The area of this plate is_____about square inches.
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest
thousandth as needed.)

Answers

Answer:

88 square inches

Step-by-step explanation:

A circular plate has circumference 33.3 inches.

Step 1

We find the radius

The formula to find the radius go a circle given circumference is

= C /2π

r = 33.3/2 × 3.14

r = 5.3025477707 inches

Approximately to the nearest thousandth = 5.303 inches

Step 2

What is the area of this plate? Use 3.14 for Pi.

The area of a circle = πr²

Where

π = 3.14

r = 5.3025477707 inches

Hence

Area of the circle = 3.14 × (5.303inches)²

= 88.30248026 square inches

Approximately to the nearest whole number the area of the circle = 88 square inches

The area of this plate is about 88 square inches.

please help! image is below,


If b = 45, and c = 4 , then a = ___ units.

Answers

Answer:

a = 26.5 units.

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

By intersecting tangent and secant theorem:

[tex] {a}^{2} =c(b + c) \\ \\ {a}^{2} = 4(4 + 45) \\ \\ = 4 \times 49 \\ \\ a = \sqrt{4 \times 49} \\ \\ a = 2 \times 7 \\ \\ a = 14[/tex]

Use the two point (0,9) and (8,5) to write the equation in slope-intercept form.

Answers

Answer:

y = -1/2x + 9

Step-by-step explanation:

(0, 9) and (8, 5)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(5 - 9) / (8 - 0)

Simplify the parentheses.

= (-4) / (8)

Simplify the fraction.

-4/8

= -1/2

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -1/2x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (8, 5). Plug in the x and y values into the x and y of the standard equation.

5 = -1/2(8) + b

To find b, multiply the slope and the input of x(8)

5 = -4 + b

Now, add 4 to both sides to isolate b.

9 = b

Plug this into your standard equation.

y = -1/2x + 9

This is your equation.

Check this by plugging in the other point you have not checked yet (0, 9).

y = -1/2x + 9

9 = -1/2(0) + 9

9 = 0 + 9

9 = 9

Your equation is correct.

Hope this helps!

i need help finding the percentage to this word problem!

Answers

Answer:

Step-by-step explanation

Each week a discount of 15% of the previous week.So the price will be 85% of the previous week (17/20 of the previous price)

We multiply the price from the previous week  by 0.85 to obtain the new price  

200 x 0.85 = 170

170 x0.85 = 144.50.....and so on

3)$ 122.82

4$)104.40

5).$88.74

6)$75.42

The shoes will be less than half in week 5

                 

 DECAY

The friend is not right

$30 less was only the first week

Each week the saving will be 85% of the  previous week. But the shoes will not be free in 2 months  On the week 8 the price will be $54.50

what are the two solutions to x( 2x - 5) = 0

Answers

When you multiply anything by zero, you will get zero
Therefore you know that:
x = 0 and 2x - 5 = 0
2x - 5 = 0, solve for x
2x = 5, x = 5/2

Solution: x = 5/2, x = 0

Can u help me with this as will pls


Stay safe everyone

Answers

I think it’s C
Sorry if it’s wrong

Answer:

Option B, 116.6 m = Shortcut

Step-by-step explanation:

A² + B² = C²

100² + 60² = Shortcut²

10,000 + 3600 = Shortcut²

13600 = Shortcut²

[tex]\sqrt{13600}[/tex] = Shortcut

116.6 = Shortcut

Hope this helps!

1. How would you change the graph of y = x’ to produce the graph of y = x + 1? shift the graph of y=x? down 1 unit b. shift the graph of y = x² left 1 unit shift the graph of y = xup 1 unit shift the graph of y=x² right 1 unit d. PLEASE HELP ILL GIVE BRAINLIEST​

Answers

Answer:

Given a function f, a new function g ( x ) = f ( x − h ) \displaystyle g\left(x\right)=f\left(x-h\right) g(x)=f(x−h), where h is a constant, is a horizontal shift of the function f. If h is positive, the graph will shift right. If h is negative, the graph will shift left.

Step-by-step explanation:

please help and simplify these expressions and show how u found them! i will mark brainliest !

Answers

5(k+4)-2k
Multiply the k and the 4 by 5
Now you have 5k+20-2k
Minus 2k from 5k
Now you have 3k+ 20 that’s the answer

2(3+d-1)
Multiply 3, d, and 1 by 2
Now you have 6+2d-2
Minus 2 from 6
Now you have 4+2d that’s the answe

Answer:

3) 3k+20

4) 4+2d

Step-by-step explanation:

You first have to distribute by multiplying the number next to the expression in the parenthesis. Then you combine like terms.

3) 5(k+4)-2k

  Step 1: (5×k= 5k) (5×4=20) equation is now 5k+20-2k

  Step 2: 5k-2k=3k since they both have the same variable you combine like terms. Equation is now 3k+20 (Final answer)

4) 2(3+d-1)

  Step 1: (2×3=6) (2×d=2d) (2×[-1]=2) Equation is now 6+2d-1.

  Step 2: (6-2=4) Since both 6 and 1 don't have any variable their like terms and you combine them. Equation is now 4+2d (Final answer)

can someone please help

Answers

Answer:

78 cm^2

Step-by-step explanation:

This will require 3 steps.

1) Area of the entire rectangle

18cm * 8 cm = 144 cm^2

2) Area of the square with one side length of 9cm

The missing measurement for the heights below 2cm

8cm - 2 cm = 6 cm

This area will be 6cm * 9 cm = 54 cm^2

3) Triangle

You have your height, which is 6cm

You also have your base, 18 cm total length minus the 5 cm stated minus the 9 cm also stated.

18cm - 5cm - 9 cm = 4 cm

The area of a triangle is A= h b/2

A = 6 * (4/2)

A = 12 cm^2

Now substract the sum of the smaller rectangle and the triangle from your large triangle

144 - 54 - 12

help please (mhanifa)
answer the 3 questions based on the table.
1.What is the y intercept of the function?

2.What is the first difference?

3.Write an equation to represent the function given in the table. Remember we write linear functions in y=mx+b form!

Answers

Answer:

1.What is the y- intercept of the function?

The value of f(x) when x = 0The y-intercept is 5 as indicated in the table

2.What is the first difference?

The difference in values of consecutive f(x):

7 -5 = 9 - 7 = 11 - 9 = 13 - 11 = 2

This is also called the slope if the relationship is linear.

3.Write an equation to represent the function given in the table.

Based on the information above we have:

m = 2, b = 5

The equation is:

y = 2x + 5

Necesito ayuda por favor
I need help please

Answers

Answer:

about 703.69

Step-by-step explanation:

To calculate the base you would use pi radius squared: 153.93

Since you have 2 bases you would multiply that by 2: 307.87

Then you need to find the circumference (2 pi radius) : 43.98

Then you multiply the circumference by the height: 395.82

Add the bases and the sides to get 703.69

Answer:

32.5cm[tex]^{2}[/tex]

Step-by-step explanation:

A= (7) (9) = 63 / 2

A= 32.5cm[tex]^{2}[/tex]

WILL MARK BRAINLIEST IF GOTTEN RIGHT

Answers

Answer:

CE = 3

Step-by-step explanation:

Given 2 intersecting chords then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

x(x + 1) = 3 × 4 = 12

x² + x = 12 ( subtract 12 from both sides )

x² + x - 12 = 0 ← in standard form

(x + 4)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 3 = 0 ⇒ x = 3

But x > 0 so x = 3

Then

CE = x = 3

6, 10, 14, ...
Find the 30th term.

Answers

50 i think that’s it sorry if it’s wrong

Answer:

122

Step-by-step explanation:

Four multiplied by 29 add six

Marking brainliest

Are you against animal testing? If so, why?

Answers

Answer:

No

Step-by-step explanation:

I honestly find it quite disturbing. That is just me though, and I just hate seeing animals get hurt.

Order the tiles from greatest to least magnitude

Answers

Answer:

2, 4,6,8,12,20

Step-by-step explanation:

when in [ ] it turns negatives into positives, and 2 3/10 is around 2.3 in decimal form.

Answer:

exactly like thast

Step-by-step explanation:

If the radius of a circle equals 1.5 cm, find its circumference correct to three decimal places.

Answers

Answer:

the circumference is 9.424

Step-by-step explanation:

to find the circumference we need the diameter and to get the diameter from the radius you multiply by 2

1.5*2=3

now we multiply 3 by pi(3.14)

3*3.14=9.424

so 9.42 is your circumference

6x10 to the power of zero

Answers

The correct Answer should be 6

Answer:

the answer is 1

Step-by-step explanation:

Anything with the power of 0 is 1

A survey was conducted to find what percentage of high school students prefer
watching baseball or football or both. Students had to select one of those three options.
Let A represent the set of students who prefer watching baseball and B represent the set
of students who prefer watching football.
Which statement correctly describes the complement of set A?
The students who prefer baseball or football or both.
The students who prefer football but not baseball.
The students who prefer only baseball.
The students who prefer only baseball or only football.

Answers

Answer:

the student who prefers football but not baseball

In circle L with m^KLM 54 and KL= 10 units, find the length of arc KM.

Round to the nearest hundredth.

Answers

Given:

In circle L, measure of angle KLM is 54 degrees and KL = 10 units.

To find:

The length of arc KM.

Solution:

The formula for arc length is:

[tex]s=2\pi r\times \dfrac{\theta}{360^\circ}[/tex]          ...(i)

Where, r is the radius of the circle and [tex]\theta [/tex] is the central angle in degrees.

The measure of KL is 10 units, it means the radius of the circle L is 10 units.

The measure of angle KLM is 54 degrees, it means the measure of central angle on arc KM is 54 degrees.

Putting [tex]\pi=3.14, r=10,\theta=54^\circ[/tex] in (i), we get

[tex]s=2(3.14)(10)\times \dfrac{54^\circ}{360^\circ}[/tex]

[tex]s=20(3.14)\times 0.15[/tex]

[tex]s=9.42[/tex]

Therefore, the length of arc KM is 9.42 units.

The Medicare tax rate is 1.45% how much would be withheld form someone paycheck for Medicare with wages of $1,738 for that pay period

Answers

Answer: [tex]\$25.201[/tex]

Step-by-step explanation:

Given

The Medicare tax rate is 1.45%

The wages of a person is $1738

The amount which is withheld from the person paycheck is

[tex]\Rightarrow 1738\times 1.45\%\\\Rightarrow 1738\times 0.0145\\\Rightarrow \$25.201[/tex]  

PLEASE HELP ME

A toy castle tower is made using a
cylinder and cone with the same base
radius of 3 cm. If the height of the
cylinder is 5 cm, and the height of the
cone is 4 cm, what is the total volume
of the tower?

Answers

Answer:

12

Step-by-step explanation:

The base radius is 3

The height of the cylinder is 5

The height of the cone is 4

Add The Numbers

3 + 5 + 4 = 12

Answer:

57π cm³ ≈ 179.07 cm³ [hundredth] or 179.1 cm³ [tenth]

Step-by-step explanation:

Cone Volume = ⅓πr²h

Cylinder Volume = πr²h

__________________

Given:

Cone and Cylinder have a radius of 3 cm.Cone has a height of 4 cm.Cylinder has a height of 5 cm.

_____________________

The total volume will be the sum (addition) of the cones volume and the cylinders volume.

Therefore:

Total volume = ⅓πr²(h_1) + πr²(h_2)

Total volume = (⅓(h_1) + (h_2))(πr²)

Total volume = (⅓(4 cm) + (5 cm))(π(3 cm²))

Total volume = (4/3 + 5)(9π) cm³

Total volume = (19/3)(9π) cm³

Total volume = 57π cm³

Total volume = 179.0707812546.. cm³

Total volume ≈ 179.07 cm³ [hundredth] or 179.1 cm³ [tenth]

So this isn't a question about math it's about grades so in my school 4 points are required to pass each grade and I have 4 points already in all my classes so does it really matter if I were to get a f this quarter since it's 4th for me

Answers

You should ask your counselor.

Answer:

If u already have 4 points that are required of you in that class you should still be able to pass

Step-by-step explanation:

(x+15)^2 -10=0
lesser x = ?
Greater x = ?

Answers

Answer:

53

Step-by-step explanation:

PLZ ANSWER ILL GIVE AS MUCH POINTS AS I CAN

1. The measure of angle 2 is 90°. What is the measure of angle 1 if the measure of angle 3 is 60°?

Answers

Answer:

30°

a straight line is 180°

1+2+3= 180

90+60=150

180-150=30

Mrs. Hansen wanted to compare the amount of money she spent at the grocery store for the first 9 weeks and the second 9 weeks of the year. Using the information below, answer each question. 1st 9 weeks: 92, 85, 43, 100, 65, 78, 88, 92, 75 2nd 9 weeks: 86, 63, 95, 75, 92, 81, 87, 86, 95 What is the mean for 1st 9 weeks?

Answers

Answer:

Step-by-step explanation:

What about this one to

Answers

Answer:

It will take them 36 hours.

Step-by-step explanation:

It should be 36 hours

The numbers X, Y, and Z are such that y= KX and Z equals K^2x FK equals 1.5, select a possible values for the set of numbers {x,y,z}

Answers

Answer:

Step-by-step explanation: Answer is a

Dose anyone know how to solve this?

Answers

Strictly increasing functions:

Let a function f(a) for x = a, then,

f(a + h), for x = a + h,

If f(a + h) > f(a), we say this a strictly increasing function, as with increase in x, f(x) also increases.

In the given graph, there are straight lines so you can say increasing interval would have +ve slope.

For x = -5 to -4, it increases = [-5, -4]

For x = 1 to 3, it increases = [1, 3]

Answer: [-5, -4] , [1, 3]

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