The triangle shown below are similar. Solve for x. 

The Triangle Shown Below Are Similar. Solve For X.

Answers

Answer 1

Answer:

x=16

Step-by-step explanation:

27/45=(2x+7)/(4x+1)

cross multiply

27(4x+1)=45(2x+7)

108x+27=90x+315

108x-90x=315-27

18x=288

x=288/18

x=16

Answer 2

Looking at the image, The triangle shown below are similar. The value for  x is 16.

What is the triangle about?

Note that in the triangle given, the shapes are similar. Therefore:

27/45 = 2x + 7/  4x + 1

3/5 = 2x + 7/  4x + 1

So:

3 (4x + 1) = 5 (2x + 7)

12x + 3 = 10x + 35

12x - 10x = 35-3

2x = 32

x = 32/ 2

x = 16

Therefore, the value of x is 16.

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Related Questions

9 x 7 = (? x 7) - (1 x 7)
= 70- ?
= ?

Answers

Answer:

70 / 7

? = 10

Step-by-step explanation:

63 = 7 * ? - 7

70 = 7 x ?

70 / 7 = ?

? = 10

Answer:

-364

Step-by-step explanation:

ok so just followed the equation and got that

8 1/2 divided 2 2/3 as a mixed number?

Answers

Answer:

= 3 3 16

Step-by-step explanation:

17 ÷ 8 2 3

Second step : multiply

= 17 × 3 2 × 8

The answer will be 51

16

= 51 16

Simplifying 51/16 , the answer is

= 3 3 16

l hope it helps ❤❤

Mixed number is the combination of the whole number and the fraction number. The whole and the part of the whole combined can be expressed as a mixed numbers. the result of the division of the two mixed number is [tex]3\dfrac{3}{16}[/tex].

Given information;

The mixed numbers given is the problem are  [tex]8\dfrac{1}{3} [/tex]  and [tex]2\dfrac{2}{3} [/tex]

Mixed number

Mixed number is the combination of the whole number and the fraction number. The whole and the part of the whole combined can be expressed as a mixed numbers.

Now the given mixed number has to be divided. This number can be divided by converting into the proper fraction numbers. Let I is the result when the two numbers are divided. Thus,

[tex]x=8\dfrac{1}{2} \div 2\dfrac{2}{3} \\ [/tex]

To solve this convert the mixed numbers into the fraction number. For this multiply the denominator to the whole number and then add in the numerator. Thus,

[tex]x=\dfrac{16+1}{2} \div \dfrac{6+2}{3} \\ x=\dfrac{17}{2} \div \dfrac{8}{3} \\ [/tex]

Convert the divide sign into the multiply sign by changing the numerator to the denominator of one of the fraction.

[tex]x=\dfrac{17}{2}\times \dfrac{3}{8} \\ x=\dfrac{51}{16}\\[/tex]

As 16 can divide the number 51 in 3 times with reminder 3. Thus the mixed number for the above fraction can be written as,

[tex]x=3\dfrac{3}{16}[/tex]

Thus the result of the division of the two mixed number is [tex]3\dfrac{3}{16}[/tex].

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If represents the number of bacteria in a culture at time t, how many will there be at time

Answers

Answer:

Population of bacteria at  time [tex]t = 6[/tex] is [tex]2441[/tex]

Step-by-step explanation:

The complete question is

If [tex]y = 10 (2.5)^t[/tex]represents the number of bacteria in a culture at time t, how many will there be at time [tex]t = 6[/tex]

Solution

Given

The population of bacteria after time t is equal to [tex]y = 10 (2.5)^t[/tex]

Population when at time [tex]t = 6[/tex]

We will substitute the value of time in above equation.

[tex]y = 10 (2.5)^6\\y = 10 *244.14\\y = 2441.4 = 2441[/tex]

For which of the following conditions is it not appropriate to assume that the sampling distribution of the sample mean is approximately normal?


A random sample of 8 taken from a normally distributed population

A random sample of 8 taken from a normally distributed population
A

A random sample of 50 taken from a normally distributed population

A random sample of 50 taken from a normally distributed population
B

A random sample of 10 taken from a population distribution that is skewed to the right

A random sample of 10 taken from a population distribution that is skewed to the right
C

A random sample of 75 taken from a population distribution that is skewed to the left

A random sample of 75 taken from a population distribution that is skewed to the left
D

A random sample of 100 taken from a population that is uniform

Answers

Answer:

C

Step-by-step explanation:

Using the Central Limit Theorem, it is found that the option in which is it not appropriate to assume that the sampling distribution of the sample mean is approximately normal is:

C) A random sample of 10 taken from a population distribution that is skewed to the right

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In option C, there is an skewed variable and a sample size less than 30, hence, the Central Limit Theorem is not applicable.

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(20 POINTS!! HELP ASAP) Use the image above to identify and explain the relationship between the segments and circles A and B. In your explanation, be sure to include specific vocabulary and definitions for the relationships.

CD

Answers

Answer:

Step-by-step explanation:

ER is tangent to circle A and B , CD is tangent to circle B PQ is a arc in circle A

rCRS is an arc in circle B. And lastly Ps is also tangent to both circles.

HELP DUE IN 30 MINS!


Are the following triangles congruent? If so, identify the postulate and finish the congruent statement.


If they are not congruent or there is not enough information, then write not possible in each blank.


Postulate:

Congruence Statement: ΔTAF ≅ Δ:

Answers

Answer:

Step-by-step explanation:

TAF ~=TUG

Postulate : AAS

HELP HELP I NEED HELP ASAP PLEASE!!
Find an integer a such that a < √77 < a + 1

PLEASE RIGHT AND EXPLANATION TOO

PLS PLS NO CAP

Answers

Answer:

try 87 or 86

Step-by-step explanation:

[b] A right circular cylinder whose volume is 704 cm and its diameter length is 8 cmn.
» then find its height
​HELP ASAP!!

Answers

Answer:

volume of cylinder=704 cm³

πr² h=704

22/7 ×(8/2)²h=704

50.28h=704

h=704/50.28=14.001=14cm

PLEASE HELP THIS IS DUE IN 5 MINUTES!!!!

Answers

Answer:

Its D :) always do parenthesis first!

Step-by-step explanation:

Only the smartest person in math knows the answer!

Answers

Answer:

16-4x^2

Step-by-step explanation:

Answer:

The answer is 16-4x^2

Step-by-step explanation:

Hope this helps!

state the domain and range of each relation.then state if the relation is a function​

Answers

Step-by-step explanation:

I wish i can help but i dont know the answer. sosorry

Wesley has a baseball sticker with a radius of 2.3 centimeters. Determine the circumference of his baseball sticker to the nearest tenth of a centimeter.

Answers

Answer:

14.4 centimeters

Step-by-step explanation:

The formula for circumference is: [tex]2\pi r[/tex]. In this case, the r (radius) is 2.3. Multiply it by 2 to get the diameter or 4.6. Then multiply 4.6 x [tex]\pi[/tex] (pi) to get 14.444. This rounded to the nearest tenth of a centimeter is 14.4.

Note:

I used 3.14 for [tex]\pi[/tex] (pi).

Hope it helps!

Please help I’m a 4 grader need help with this I’m not sure how to do this

Answers

10 divided by 5 = 2 times 2 = four :)

Answer:

10 ÷ 5 = 2 × 2= 4. 4 is your answer

Step-by-step explanation:

its easy. when you see a number () thats just multiplication. so basically the equation is really just saying 10 ÷ 5 × 2

Solve the simultaneous equations by substitution
5x+6y=−11
5x=2y−3

Answers

Answer:

y= -1, x= -1

5x+6y=-11

-(5x-2y=-3)

     8y=-8

      y=-8/8

      y= -1

5x+6(-1)=-11

5x-6     = -11

        5x=-11+6

        5x=-5

          x=-5/5

          x=-1

The required solution of the simultaneous equation is x = -1 and y = -1.

Given that,
To solve the given simultaneous equation,
5x+6y= −11
5x = 2y −3

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

here,
5x = 2y −3 - - - - - (1)
5x+6y= −11
By substitution, from equation 1
2y - 3 + 6y = -11
8y = -8
y = -1
Now,
5x = -2 - 3
x = -1

Thus, The required solution of the simultaneous equation is x = -1 and y = -1.

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The area of a square is 81 cm 2 . Find the perimeter of the square.

PLEASE ANSWER!!!

Answers

Answer:

36

Step-by-step explanation:

9 times 4 buddy

area of square = side length ^2
area = 81 so side length ^2 = 81
square root each side
side length = 9
perimeter of square = 4 x side length
= 4 x 9 = 36cm

PLEASE HELP ASAP I AM GIVING 40 POINTS! just answer like this:
a:
b:
c:

Answers

Answer:

Step-by-step explanation:

(a) f(-4) = 7 - 8(-4) = 7 + 32 = 39

(b) f(0) = 7 - 8(0) = 7 - 0 = 7

(c) f(3) = 7 - 8(3) = 7 - 24 = 17

Solve the proportion for e

Please helpp meee

Show work if can thank you

Answers

Answer:

17

Step-by-step explanation:

Cross multiply: 51 × 6 = 306Divide: 306 ÷ 18 = 17So, e = 17

I hope this helps!

how to change a fractiion in decimal example 108/30 change this in decimal

Answers

Step-by-step explanation:

decimal decimal six

it is helpful

a number increased by 25% becomes 30 the number is​

Answers

Answer:

24

Step-by-step explanation:

Let 'x' be the number

x +25% of x = 30

x + 0.25x = 30

1.25x = 30

x = 30/1.25

x = 24

Make a function table for y=-3x+3

Answers

X | Y
-2 | 9
-1 | 6
0 | 3
1 | 0
2 | -3

She measures it and finds out it is 24 feet long by 121 2 feet wide. She wants to know how many square feet of sod she will need to completely cover the yard. How much sod will Heather need to cover the yard?

Answers

if i understood that correctly then it should just be
24ft x 1212ft = 29,088 ft^2 of sod

HELP!!! PLEASEEEEEE!!!!!
Write in point-slope form an equation of the line that passes through the point (9, 5) with slope 3

Answers

Answer:

[tex]y _{1} - y = m(x _{1} - x) \\ \\ 5 - y = 3(x - 9) \\ \\ 5 - y = 3x - 27 \\ - y = 3x - 27 - 5 \\ - y = 3x - 32 \\ y = - 3x + 32[/tex]

I hope this help

Please help and can you sow work.

Answers

First thing solve for missing side using Pythagorean theorem 20^2=16^2+a^2 then solve for a and we get a=12. Then we can use Toa which means tan=o/a so if we plug in those values we get tan(theta)=16/12

49/5

into mixed fraction

will mark you brainliest and will give you 14 points(this is for my younger sister's exams so please give her an answer) please tell her how to do it with an explanation

Answers

The Answer Is 9 4/5.

Tell Her/Ask Her This:
You Can Use Long Division.
How Many Time Does 49 Go In To 5?

the inequality 7-2/3x

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

At a school
The ratio of the number of boys to number of girls = 9:7
There are 100 more boys than girls.
Work out the total number of students at the school.

Answers

Answer:

1600

Step-by-step explanation:

b : g : total

9 : 7 : 16

difference-> 9-7=2

2u->100

1u-> 50

16u-> 1600

PLEASE HELP ME!!!ITS DUE TODAY!!

Answers

PONLE QUE ES A LA MIERDA IEUFJEUNFUF

Answer:

17.28 is around

23.76 is the area

Step-by-step explanation:

A little help here?????????????????????????????? (please help I really need it)

Answers

Answer:  2  1/4 inches.

Step-by-step explanation:

3 * 3/4 = 9/4 = 2 1/4

hope it helps pls mark me brainliest

Answer:

2  1/4 inches

Step-by-step explanation:

The angle of elevation from a park bench 724 feet from the base of the Gateway Arch in St. Louis, Missouri is 22°. How tall is the Gateway Arch, rounded to the nearest whole number?

Answers

Answer:

Gateway Arch is [tex]292.46[/tex] feet tall

Step-by-step explanation:

As we know,

the horizontal distance from the gate of the Arch to the bench [tex]= 724[/tex] feet

The angle of elevation is [tex]22[/tex] degree

Let H be the height of the gate be "H"

Tanθ= Perpendicular/Base

Substituting the given values in above equation, we get -

[tex]tan 22 = \frac{H}{724} \\H = 724 * tan 22\\H = 724 * 0.404\\H = 292.46[/tex]feet

HELP ILL GIVE BRAINLEY

Answers

Answer: 1/30

Step-by-step explanation:

The term quotient simply refers to the answer to a division equation.  Because 1/a/b = 1/ab, 1/6/5 = 1/30.

Hope it helps <3 :D

Answer:1/30

Step-by-step explanation:

i did my math on paper

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