a) For AQMNO use the Triangle Proportionality Theorem to solve for x. OMN

A) For AQMNO Use The Triangle Proportionality Theorem To Solve For X. OMN

Answers

Answer 1

Answer:

x = 12 unitsperimeter = 113 units

Given for big triangle:

MN = 36MO = 3x + 9 + 15 = 3x + 24

Given for small triangle:

side 1 : 36 - 9 = 27side 2 : 3x + 9

setting up proportionality:

[tex]\hookrightarrow \sf \dfrac{36}{3x+24} = \dfrac{27}{3x+9}[/tex]

[tex]\hookrightarrow \sf 36(3x+9) = 27(3x+24)[/tex]

[tex]\hookrightarrow \sf 108x+324 = 81x+648[/tex]

[tex]\hookrightarrow \sf 108x-81x = 648-324[/tex]

[tex]\hookrightarrow \sf 27x = 324[/tex]

[tex]\hookrightarrow \sf x = 12[/tex]

Perimeter of the triangle:

36 + 17 + 15 + 3x + 9

36 + 17 + 15 + 3(12) + 9

113 units

Answer 2

Answer:

x = 12

perimeter = 113 units

Step-by-step explanation:

Triangle Proportionality Theorem states that if a line parallel to one side of the triangle intersects the other two sides, then it divides the sides into proportional corresponding segments.

[tex]\implies 3x+9 : 15 = (36-9) : 9[/tex]

[tex]\implies 3x+9 : 15 = 27 : 9[/tex]

[tex]\implies \dfrac{3x+9}{15}= \dfrac{27}{9}[/tex]

[tex]\implies 3x+9 = 45[/tex]

[tex]\implies 3x = 36[/tex]

[tex]\implies x = 12[/tex]

Perimeter = [tex]3x+9 + 15 + 17 + 36[/tex]

Substituting [tex]x = 12[/tex]:

⇒ perimeter = 3(12) + 9 + 15 + 17 + 36

                     = 113


Related Questions

determine the scale factor for each pair of similar figures

8cm. 16 cm

Answers

Answer:

8

Step-by-step explanation:

They both divisible by 8

6 1/4 - 3 5/8

please help im too lazy to do all the work.
I WILL GIVE 20 POINTS!

Answers

Answer:

2 5/8

Step-by-step explanation:

simple met... I mean math :)

Please help with number 2! Please answer quick

Answers

Answer:

each brother ate 1/10 of the cake

Step-by-step explanation:

1/5 divided by 2 is 1/10

Explain why my calculator gives an error when you enter cos^-1 (5/4)

Answers

Step-by-step explanation:

because the is no answer for that in the calculator

Answer:

see explanation

Step-by-step explanation:

To obtain a solution for [tex]cos^{-1}[/tex] (x) , then

- 1 ≤ x ≤ 1

That is the value of x cannot be greater than 1 or less than - 1

here x = [tex]\frac{5}{4}[/tex] = 1.25 which is greater than 1 , thus calculator will return ' error'

Brian and Bob visit a ski resort. Bob buys 2 full passes and 3 restricted passes. The total cost of his passes is £130.

Write down an equation to illustrate this information.

Answers

Answer:

2x+3y=130

Step-by-step explanation:

Let x=cost of full pass

Let y=cost of restricted pass

Brian and Bob bought 2 full and 3 restricted passes.

Have a good day!

Which statement describes the graph of f(x) = 4x2 20x 25?.

Answers

The graph of the quadratic function [tex]y=ax^2+bx+c[/tex]

What are the condition tangent to the quadratic equation?

does not intersect the x-axis, when [tex]D=b^2-4ac < 0\\[/tex]

touches the x-axis at one point, when [tex]D=b^2-4ac =0[/tex]

intersects x-axis at two points, when [tex]D=b^2-4ac > 0\\[/tex]

For the function[tex]y=4x^2+20x+25[/tex]  the discriminant D is,

This means that the graph of the function touches the x-axis at one point.

[tex]D=20^2-4(4)(25)=200-200=0[/tex]

Since [tex]y=4x^2+20x+25=(2x+5)^2[/tex]then the tangent point has x-coordinate at x=-2.5  (value at which y=0).

Therefore the correct choice is B.

To learn more about the tangent point visit:

https://brainly.com/question/13598644

The graph of the function f(x) = 4x² + 20x + 25 passes through the  x-axis at  –2.5.

What is a factorization?

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The function is given as

f(x) = 4x² + 20x + 25

On factorization, we have

f(x) = 0

Then

           4x² + 20x + 25 = 0

   4x² + 10x + 10x + 25 = 0

2x (2x + 5) + 5 (2x + 5) = 0

           (2x + 5)(2x + 5) = 0

                      (2x + 5)² = 0

Then the graph of the function passes through the x-axis at –2.5.

The graph is shown below.

More about the factorization link is given below.

https://brainly.com/question/6810544

WILL GIVE BRAINLIEST
The lifespan of a laptop battery is normally distributed. If the mean lifespan of a battery is 4 years with a standard deviation of 1.6 years, what is the probability that the next laptop battery you purchase will last between 3.5 and 5.5 years?
84.79%
15.2196
55.19%
44.81%​

Answers

Answer:

44.81%

Step-by-step explanation:

First determine the z-scores for 3.5 and 5.5 years. After matching the z-scores with the areas under the standard normal curve, subtract the smaller area from the larger area to solve.

Find the GCF of the terms of the polynomial. 48x ^ 6 + 6x ^ 2 - 26x ^ 3

Answers

Answer:

[tex]2x^{2}[/tex]

Step-by-step explanation:

Find the GCF of the numbers 48, 6 and 26.  

The largest number each can be divided by is 2, which is the GCF.

Find the GCF of [tex]x^{2}, x^{3}, x^{6}[/tex]

The GCF is always the smallest exponent, so [tex]x^{2}[/tex] is the GCF

Combine the two GCF for the answer

[tex]2x^{2}[/tex]

cough cough help me please

Answers

Answer:

a the answer is A

Step-by-step explanation:

Did I do this equation correctly

Answers

Answer:

Just by looking at it i say yes!

Step-by-step explanation:

Please rate!

Answer:

I believe it is correct unless you had to do the parentheses first and solve those first and then subtract.

Step-by-step explanation:

AC= 2x-7, BC= x-3, AB= 8. find x

Answers

Answer:

x = 12

consider this a straight line:

A                        B                          C

-------------------------------------------------

solve for AB:

⇒ AB = AC - BC

⇒ AB = 2x - 7 - ( x - 3 )

⇒ AB = 2x - x - 7 + 3

⇒ AB = x - 4

given AB = 8

solve for x:

⇒ x - 4 = 8

⇒ x = 8 + 4

⇒ x = 12

☆solve for AB:

→ AB = AC - BC

→ AB = 2x - 7-(x-3)

→ AB = 2x - x - 7+3

→ AB = x - 4

given, AB = 8

☆solve for x:

→ x - 4 = 8

→ x = 8 + 4

→ x = 12

Which is a factor of both terms of the expression 2−10
2
d
-
10
?

Answers

Answer: the common factor is 2

Step-by-step explanation: 2d = 2 × d-10 = 2 × (-5)

Just need the answer

Answers

Answer:

A

Step-by-step explanation:

Assume that a sample is used to estimate a population mean p. Use the given confidence level and sample data to find the margin of error. Assume that the sample is a simple random sample and
the population has a normal distribution. Round your answer to one more decimal place than the sample standard deviation.
95% confidence; n = 12; x = 76.4; s = 5.9
3.75
3.38
4.50
2.81

Answers

The margin of error is 3.38.

Option B is the correct answer.

We have,

The margin of error can be calculated using the formula:

Margin of error = z x (s/√n)

where z is the z-score corresponding to the given confidence level.

For a 95% confidence level,

z = 1.96.

Substituting the given values, we get:

Margin of error

= 1.96 x (5.9/√12)

= 3.38

(rounded to two decimal places)

Therefore,

The margin of error is 3.38.

Learn more about the margin of error here:

https://brainly.com/question/10501147

#SPJ1

Need with answering D and E

Answers

Answer:

Step-by-step explanation:

4.2 Write 1764 as a product of prime factors show your steps​

Answers

Step-by-step explanation

first you have 1764 so you need to reduce it so you can keep on going through the line so I divided 1764 by 2 and I got 882. 2 is a prime number so I don't have to worry about it anymore. now I reduce 882 and get 2 and 441. 2 is prime so we don't need to worry about it anymore. now since we can't divide 441 by 2 we will use the next number 3. 441 divided by 3 is 147. 3 is prime so we don't need to worry about it anymore. 147 can't be divided by 2 so we will try 3 again and that works so 147 divided by 3 is 49. 3 is prime so we don't have to worry about it anymore. now we have 49 and 49 is a normal multiplication fact so we know that 49 divided by 7 is 7. and seven is prime so now you have have all the prime factors of 1764

- 3x-4y=31
-2x + y = 6

Solve the system(by substitution)

Answers

Answer:

x = -5

y = -4

Step-by-step explanation:

Scott ran 40 miles less than Jake last week. Scott ran 26.2 miles. How many miles did Jacob run

A) 66.2 miles

B) 1.53 miles

C) 13.8 miles

D) 6.55 miles


NEED NOW

Answers

Answer:

66.2 miles

Step-by-step explanation:

I used addition, since it says 40 less than Jake I added what he ran with how much less he ran.

40 + 26.2 = 66.2

Hope this helps!! :)

when comparing the ratio 9^2 to 9^7 luciano calculated 1/9^5 is luciano correct and why or why not

Answers

Answer:

yes

Step-by-step explanation:

using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]\frac{1}{a^{(n-m)} }[/tex] , then

[tex]\frac{9^2}{9^{7} }[/tex] = [tex]\frac{1}{9^{(7-2)} }[/tex] = [tex]\frac{1}{9^{5} }[/tex]

PLS HELPP!! Use the Pythagorean theorem to find the hypotenuse for the right triangle below. Be sure to show your work.

Answers

Answer:

36.05

Step-by-step explanation:

20²+30²=1300

sqrt*1300=36.05551275464

Answer:

hypotenuse: 36.06 feet

using Pythagoras theorem:

a² + b² = c²

30² + 20² = c²

c² = 900 + 400

c² = 1300

c = √1300

c = 36.0555 feet

c = 36.06 feet

Sketch the absolute value function f(x) = |2x - 6| - 8. Which key feature of the graph is not correct?
A) minimum (3, -6)
B) x-intercept (7, 0)
C) y-intercept (0, -2)
D) x-intercept (-1, 0)

Answers

the answer is D
isnsueidis suirnd did

A convention center is in the shape of a rectangular pyramid with a height of 261 m. Its base measures 468 m by 395 m.

Answers

Answer:

I assumed you were finding the volume sense you never specified so the volume is 1.61 ×10^7

Step-by-step explanation:

(l×w×h)/3 = (468×395×261)/3 = 1.61 ×10^7

A. Quadrilateral
B. Parallelogram
C. Rhombus
D. Rectangle
E. Square
F. Trapezoid
G. Isosceles
H. Kite

Answers

the answer is sqaure

[tex]\frac{1}{2} x-7=\frac{1}{3} (x-12)[/tex]

Answers

1/2x - 7 = 1/3x - 4
1/2x = 1/3x + 3
1/2x - 1/3x = 3
1/6x = 3
X = 18

what is the nearest whole number with 132.73

Answers

Answer:

the nearest whole number is 133

Can someone tell me what im supposed to even do next??

Answers

Answer:

always start off with exponents. a number^2 means a number times itself.Next, multiply the previous number by 3.Now, add the product of the previous equation, and the sum of 3 times x.Next, find the value of 4 times x, and subtract it from the products of the previous two numbers.Now that we have the values of these 3 numbers, multiplied, added, and subtracted, add 5 onto the current value.Finally, subtract the value of all the previous numbers by 1.

Hope this helps in every way!

PLEASE HELP! write a polynomial that is best represented by the graph

A)y=x^3-12x^2+29x+42

B)y=x^3+12x^2+29x-42

C)y=x^3-14x^2+55x-42

D)y=x^3+14x^2+55x+42

Answers

Polynomials are represented by graphs and equations

The equation of the polynomial is y = x^3 + 12x^2 + 29x - 42

How to determine the polynomial equation

From the graph, the zeros of the polynomial are:

x = {-7, -6, 1}

So, the equation of the polynomial is:

[tex]y = (x + 7) * (x + 6) * (x - 1)[/tex]

Expand

[tex]y = (x^2 + 13x + 42) * (x - 1)[/tex]

Further, expand

[tex]y = x^3 + 13x^2 - x^2 + 42x - 13x - 42[/tex]

This gives

[tex]y = x^3 + 12x^2 + 29x - 42[/tex]

Hence, the equation of the polynomial is y = x^3 + 12x^2 + 29x - 42

Read more about polynomials at:

https://brainly.com/question/4142886

find the quotient 3/5÷7/8​

Answers

Answer: 0.6857

Step-by-step explanation: That is what I got when I did the math. Hope it helps and it is not wrong.

Have a good day!

Answer:

[tex]\frac{24}{35}\ or\ 0.6857[/tex]

Step-by-step explanation:

Step 1:  Convert to multiplication

[tex]\frac{3}{5}/\frac{7}{8}[/tex]

Since we have a division symbol we can change it to a multiplication by taking the reciprocal (flipped fraction) of the second fraction and change the division for multiplication.

[tex]\frac{3}{5} * \frac{8}{7}[/tex]

Step 2:  Multiply

[tex]\frac{3 * 8}{5*7}[/tex]

[tex]\frac{24}{35}[/tex]

Answer:  [tex]\frac{24}{35}\ or\ 0.6857[/tex]

Compare the numerator and denominator of a
fraction that is greater than 100%

Answers

Answer:

I don't understand this question...

Step-by-step explanation:

But If you want a fraction greater than 100% than you have to find a percentage that is greater than 100% and convert it into a fraction

Answer: In a fraction, when the numerator is smaller than the denominator, the percent is either between 1% and 100 % or less than 1 %. To make sure that the given fraction is less than 1%, better convert the given fraction into decimal and then convert into percent. In decimal, when the given value is greater than 1, the percent is greater than 100%.

Step-by-step explanation: (1) Divide number by the other number, then (2) multiply by 100 to convert the result to a %. (3) If both numbers are positive, and the resulting percentage is greater than 100%, the numerator is larger than the denominator.

what's the multiplication table​

Answers

the multiplication table is displayed in the screenshot (up to 12)

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