Use your knowledge on the triangle proportionality theorem to find the missing side length indicated. Be sure to explain the proportion you used.

Use Your Knowledge On The Triangle Proportionality Theorem To Find The Missing Side Length Indicated.

Answers

Answer 1

Answer:

? = 4.29

Step-by-step explanation:

Remark

Let  x be the question mark. You get the proportionality by using the dimensions of the little triangle to the dimensions of the large triangle.

Equation

14/(14+ 4) = 15/(x + 15)                   Combine like terms on the left

14/18 = 15/(x + 15)                          Cross multiply

14*(x + 15) = 18 * 15                        Simplify the right

14(x + 15) = 270                             Divide by 14

x + 15 = 270 / 14

x + 15 = 19.29                               Subtract 15 from both sides

x = 19.29 - 15

x = 4.29    


Related Questions

The slope of the tangent to a curve at any point (x, y) on the curve is x divided by y . Find the equation of the curve if the point (2, -3) is on the curve.

A) x2 + y2 = 13
B) x2 + y2 = 25
C) x2 - y2 = -5
D) x2 - y2 = 5

Answers

Answer:

I THINK MAYBE C hope this helps

Step-by-step explanation:

5+(-13)=????
??????????​

Answers

Answer:

-8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Patty counted 250 chocolate chips on a tray of cookies. The actual amount of chocolate chips on the tray were 265. What is the percent error? *

Answers

Answer:

percent error=6%

Step-by-step explanation:

Step one:

given data

Patty counted 250

The actual amount of chocolate chips on the tray were 265

Required

The percent error

Step two:

The formula is

percent error= actual-expected/expected*100

percent error= 265-250/250*100

percent error=15/250*100

percent error=0.06*100

percent error=6%

Is sec (−θ) equal to sec θ or - sec θ? How do you know?

Answers

Answer:

sec(- θ ) = secθ

Step-by-step explanation:

The relationship between sec and cos is

sec x = [tex]\frac{1}{cosx}[/tex]

Now cos(- x) = cosx

Thus

sec(- θ ) = secθ

Drew is making a dart board. The diameter of the dart board is 48 centimeters. What is the approximate circumference?

Answers

Answer:

119 cm got it right on edge 2020

Step-by-step explanation:

Its right

Circumference = 2(pi)(r)
r=diameter/2
r=48/2
r=24

Circumference = 2(pi)(r)
Circumference = 2(pi)(24)
Circumference = 150.7964cm = 150.8cm

1 = $60, P = $750, r = 4%, t = ?. Find the amount of time.​

Answers

Answer:

287.5 years

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

then, solving our equation

t = (1/0.04)((750/60) - 1) = 287.5

t = 287.5 years

4. Mikael worked 5 hours on Tuesday and 6 hours on Wednesday. She
earned $88. What was her pay rate?

Pls answer

Answers

$8 per hour

11 hours times x =88

9. At Ethan's tree Farm, the taller trees are braced by wires that extend 2 feet below the top of a tree, to a stake
in the ground. What is the tallest tree that can be braced with a 25-foot wire staked 15 feet from the base of the tree?

Answers

Answer:

22'

Step-by-step explanation:

25^2=15^2+x^2   where x=tree height less the 2' from the top

x=20'

Add the 2' from wire connection to top of tree.

22'

Find the remainder when the function is

Answers

according to the question

3x-1=0

3x=1

x=⅓

so

f(x)=18x³+x-1

f(⅓)=18.(⅓)³+⅓-1

f(⅓)=18.⅓.⅓.⅓+⅓-1

f(⅓)=6.⅑+⅓-1

f(⅓)=⅔+½-1

f(⅓)=0

therefore the remainder is 0

What is the nth term rule of the linear sequence below?
13, 7, 1, -5, -11,...

Answers

Answer:

aₙ = a₁ - 6* (n-1)

Step-by-step explanation:

a₁ = 13 = 13 - 6* (1-1)

a₂ = 7 = 13 - 6 * 1 = 13- 6*(2-1)

a₃ = 1 = 7 - 1 = 13 - 6 * 2 = 13 - 6 * (3-1)

........

aₙ = a₁ - 6* (n-1)

check: a₅ = 13 - 6*4 = -11

Answer:

7

Step-by-step explanation:

7/9


Use the DistributiveProperty to write an equivalent expression
3(-6.45 + 5x)

Answers

-19.35 + 15x

In order to get this answer distribute the 3 to the -6.45 and the 5x.

Write
0.925

as a fraction in simplest form.

Answers

Answer: 37/40

Step-by-step explanation: 0.925 = 925/1000

= 925/1000

= 185/200

= 37/40

Hope it helped u,

pls mark as the brainliest

^_^

f(x) = 2x-1 and g(x)=3x. Find f(g(-3))

Answers

Answer:

0,-1

Step-by-step explanation:

twelve less than a p
number is two

Answers

Answer:

P = 14

Step-by-step explanation:

First of all we know that P - 12 = 2

So, basically all we have to do is add 12 plus 2.

12 + 2 = P

P = 14

So, P should equal 14.

Answer:

p=14

Step-by-step explanation:

p - 12 = 2

   +12   +12

p = 14

Hope this Helps!!!

The Chang family ate 12 cookies in 10 minutes at this rate,how long would it take the family to eat 60 cookies

Answers

Answer:

50 min :)

Step-by-step explanation:

12 cookies in ten min

12*5=60

10*5=50

what is the total price of a book if barnes and nobles gets it for 4.25 and the markup is 30%

Answers

5.50, I think I’m right I just added 30 percent of 4.25 to 4.25

I GOT ONE QUESTION HERE I NEED HELP OR ASSISTANCE ON

Answers

Answer:

(k + 0.04)(k - 0.04)

Step-by-step explanation:

a² - b² = (a + b)(a - b)

k² - 0.0016 = k² - (0.04)²

                  = (k + 0.04)(k - 0.04)

Hint: 0.0016 = [tex]\frac{16}{1000}=\frac{4^{2}}{100^{2}}=(\frac{4}{100})^{2} = (0.04)^{2}[/tex]

mark is 11 3/4 years old.marian is 1 1/2 years older than mark and jane is 1 1/5 years older than marian.how old is jane?

Answers

Jane is 19 9/20 years old. If Marian is 11/2 years bigger then Mark, you would have to add both ages up and then get the answer of 17 1/4. Then it said that Jane is 11/5 years older than Marian which means that you would have to add again to find the final answer. 11/5=2 1/5 and then add 17 1/4 which you get 19 9/20. So Jane is 19 9/20 years old.

Answer:

22/3 years old jane

Step-by-step explanation:

add 11+11 =22

2+5=7

7-3=4

so, she's 22/3 years old

What is the slope of the lime that passes through the points (-8, 3) and (-8, 2)?
Wiwite your answer im simplest form

Answers

Answer: The slope = Undefined
Explanation: These points make a vertical line. The slope for a vertical line does not exist. The proper name for this situation is “undefined slope”
The slope doesn’t exist

please help i’ll mark brainliest

Answers

Answer:

A

Step-by-step explanation:

it is A

simplify the ratio go 35:14

Answers

Answer:

5:2 is the lowest you could simplify it to

Step-by-step explanation:

To simplify the ratio [tex]35:14[/tex], we find the greatest common divisor of 35 and 14, and then we divide 35 and 14 by the greatest common divisor.

The greatest common divisor that you can use to simplify 35:14 is 7. This  means the answer to the ratio [tex]35:14[/tex] simplified is:

[tex]5:2[/tex]

Here is the math to illustrate better:

35÷7 = 5 and 14÷7 = 2

Thus, [tex]35:14[/tex] ratio simplified is [tex]5:2[/tex]

the ratio of the length to the breadth of a rectangle is 7:3. calculate the dimensions of the rectangle if the area is 525m²​

Answers

Answer:

Length = 367.5 m.

Breadth = 157.5 m.

Step-by-step explanation:

The ratio is 7:3 .

There are 7 + 3 = 10 'parts' in the ratio.

So we work out the multiplier which is 525 / 10 = 52.5

Length = 7 * multiplier

= 7 * 52.5

= 367.5

Breadth = 3 * multiplier

= 3 * 52.5

= 157.5.

Find the equation of the exponential function represented by the table below: 0 1 1 1 3 2 9 3 27​

Answers

Answer:

Step-by-step explanation:

comwe kid 56 67

PLEASE HELP DUE TMRW!
What is the vocabulary term for a number that can be written as a fraction or a decimal.
that either terminates or repeats?
A.Integer
B.Rational Number
C.Absolute Value
D.Additive Inverse

Answers

Answer:

B

Step-by-step explanation:

Any rational number (that is, a fraction in lowest terms) can be written as either a terminating decimal or a repeating decimal . Just divide the numerator by the denominator

Answer:

B. Rational number

Step-by-step explanation:

what is 4140000 in standard form

Answers

Answer:

four million one hundred forty thousand

Step-by-step explanation:

just read it correctly and then write it down

Answer:

its 414 (03)

you take the first 3 numbers and put it and then you count how many zeros there are and you put 0 and how many there are withch is 4


The sum of two numbers is 150. The larger number is 20 more than the smaller number

What is the smaller number?

What is the larger number?

Answers

Answer:

the smaller number is 65

the larger number is 85

Step-by-step explanation:

Hope this helps! :)

simplify the square root of 2 multiplied by the square root of 18

Answers

The answer is 9 for sure

The function f(x) is a cubic function and the zeros of f(x) are -5, -3 and 1. The y-intercept of f(x) is -45. Write the equation of the cubic polynomial in standard form.​

Answers

Step-by-step explanation:

Since -5, -3 and 1 are the zeroes of f(x),

(x + 5), (x + 3) and (x - 1) are factors of f(x).

=> f(x) = a(x + 5)(x + 3)(x - 1),

where a is a real constant.

We are given that when x = 0, f(x) = -45.

=> a(0 + 5)(0 + 3)(0 - 1) = -45

=> -15a = -45, a = 3.

Hence, f(x) = 3(x + 5)(x + 3)(x - 1)

= 3x³ + 21x² + 21x - 45.

Answer:

The function f(x) is a cubic function and the zeros of f(x) are -5, -3 and 1. The y-intercept of f(x) is -45.

(x+5), (x+3) and (x-1) are the factors of f(x).

Form : f(x)=a(x+5)(x+3)(x-1)

When f(x)=-45 and x=0, we get a=3

Equation of the cubic polynomial in standard form is :---

[tex]f(x) = 3(x + 5)(x + 3)(x - 1)\\ =3 ( {x}^{2} + 8x + 15)(x - 1) \\=3({x}^{3} + 8 {x}^{2} + 15x - {x}^{2} - 8x - 15) \\ =3({x}^{3} + 7{x}^{2} + 7x - 15)\\=\boxed{3{x}^{3}+21{x}^{2}+21x-45}[/tex]

3x³+21x²+21x-45 is the right answer.

What is the outlier in the data set shown below?


A. 6
B. 36
C. 40
D. 46

Answers

The outliers of the given data seta are -

- 0.5 and 23.5

What is outlier of a data?

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population.

Given is a dataset shown in the image.

Arrange the data in ascending order -

(6, 7, 8, 8, 9, 10, 10, 11, 12, 13, 13, 14, 15, 15, 15, 40)

(x₁, x₂, x₃, x₄, x₅, x₆, x₇, x₈, x₉, x₁₀, x₁₁, x₁₂, x₁₃, x₁₄, x₁₅, x₁₆)

First quartile -

Q{1} = (x₅ + x₄)/2 = (9 + 8)/2 = 8.5

Q{1} = 8.5

Third quartile -

Q{3} = (x₁₂ + x₁₃)/2 = (14 + 15)/2 = 14.5

Q{3} = 14.5

Interquartile range -

IQR = Q{3} - Q{1}

IQR = 14.5 - 8.5

IQR = 6

Outliers -

(numbers less than Q1 – 1.5 × IQR) = - 0.5

(numbers greater than Q3 + 1.5 × IQR) = 23.5

Therefore, the outliers of the given data seta are -

- 0.5 and 23.5

To solve more questions on outliers, visit the link below -

https://brainly.com/question/26958242

#SPJ1

what best describes pi?​

Answers

Answer: D

Step-by-step explanation:

number π is a mathematical constant, the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.

Answer:

I would say answer D is the correct one.

Step-by-step explanation:

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