For triangle ABC use the Triangle Proportionality Theorem to solve for x

1. what is the value of x?

2. What is the perimeter of triangle ABC?

show ALL work-- PLEASE HELP!

For Triangle ABC Use The Triangle Proportionality Theorem To Solve For X1. What Is The Value Of X?2.

Answers

Answer 1

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here's the solution ~

The two triangles in the shown figure are similar, therefore conclusion can be made that :

Ratio of its it's corresponding sides is equal.

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2x - 4 + 6}{6} = \dfrac{24}{4} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2x + 2}{6} = 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x + 2 = 6 \times 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x + 2 = 36[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x = 36 - 2[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x = 34[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 17[/tex]

Therefore, The value of x is " 17 "

Now, the measure of side BC is :

[tex]\qquad \sf  \dashrightarrow \: 2x - 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 (17) - 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: 34 - 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: 30 \: \: units[/tex]

So, its perimeter will be :

[tex]\qquad \sf  \dashrightarrow \: p = AB + AB + BC [/tex]

[tex]\qquad \sf  \dashrightarrow \: p = 24 + 26 + 30[/tex]

[tex]\qquad \sf  \dashrightarrow \: p = 80 \: \: units[/tex]

Answer 2

Answer:

1) x = 17,2) P = 86 units.

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

Part 1

According to Triangle Proportionality Theorem we have the following equal proportions:

(24 - 4)/4 = (2x - 4)/620/4 = (x - 2)/35 = (x - 2)/3x - 2 = 5*3x - 2 = 15x = 17

Part 2

The missing side is:

BC = 6 + 5*6 = 6 + 30 = 36 units

The perimeter is:

P = 24 + 36 + 26 = 86 units

Related Questions

please please please help

Answers

9514 1404 393

Answer:

  a° = 52°

  b° = 64°

  c° = 128°

Step-by-step explanation:

a) The 52° angle and the angle marked a° both intercept the same arc, so have the same measure.

  a° = 52°

__

b) The base angles of the isosceles triangle are equal. This means they are ...

  b° = (180° -52°)/2 = 128°/2

  b° = 64°

__

c) The arc intercepted by angle b° is twice the measure of angle b°, so is ...

  c° = 2(64°)

  c° = 128°

Multiply: 1) (5xy+3yz) and 2xz

2) 6/7x2y and (35/6xy + 14/3 xy2

3) (2x3-3x2+6x-8) and (-5x2)

Answers

Therefore, the multiple of the given equations is 10x^2yz + 6xyz^2, 5x^3y^2 + 14x^3y^3, and -10x^5 + 15x^4 - 30x^3 + 40x^2.

Define Polynomial Multiplication.

The process of multiplying two or more polynomials together is known as polynomial multiplication. Applying the distributive property to the multiplication of polynomials allows us to conduct polynomial multiplication.

What is multiplication?

Multiplication in mathematics is essentially just adding a number repeatedly in relation to another number. For instance, if we multiply 2 by 3, then implies that 3 gets multiplied by itself twice, meaning 3 + 3 = 6. Children can multiply numbers easily with the help of this method.

1. (5xy+3yz) * 2xz = 10x^2yz + 6xyz^2

2. (6/7x2y) * (35/6xy + 14/3 xy2) = 5x^3y^2 + 14x^3y^3

3. (2x3-3x2+6x-8) * (-5x2) = -10x^5 + 15x^4 - 30x^3 + 40x^2

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pls help ! & i’ll give brainliest

Two friends went to a carnival. They rode carnival rides, played arcade games and bought
candy and snacks at several different concessions. Here is what the friends spent:
Jim spent the following on rides: $4, $3, $1, $1, $5, $2, $3, $1
Sara spent the following on rides: $1, $3, $1, $3, $2, $3, $5, $5, $1
Which person has a larger average?

Answers

Answer:

Sarah has a larger average

Step-by-step explanation:

to find the average of each person, you add how much they spent then divide by the total number of values in the set of each person.

Ramona used the regression equation y =. 444x – 21. 29, where x represents height and y represents shoe size, to predict the approximate height of a man who wears a size 8. 5 shoe. 1. Y =. 444 (8. 5) minus 21. 29. 2. Y = 3. 774 minus 21. 29. 3. Y = negative 17. 52. Ramona determined that her answer was incorrect because a man who is –17. 52 inches tall does not make any sense. What was Ramona’s mistake? She substituted the 8. 5 for the wrong variable. She should have added. 444 and 8. 5. The value for y should be positive. The solution of –17. 52 should be the shoe size

Answers

Ramona’s mistake was she just substituted the 8.5 for the wrong variable.

From given conditions:

Ramona used the regression equation y = 444x - 21.29,  

where x represents height and y represents shoe size,

According to Romana her answer is incorrect as a man who is -17.52 inches tall does not predict the approximate height of a man.

The 8.5 refer to shoes size, not height.

So substituting 8.5 for the x-variable is wrong, because x refers to height and y represents shoe size.

Therefore, Ramon just substituted the 8.5 for the wrong variable. She must replace 8.5 for y-variable, because that's the right one for shoe size.

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An electronics store owner is trying to how much they should try to sell a computer that cost the store $200. They want to increase this price by 25% for the store’s profit and then increase that new price by 15% to account for the sales person’s profit. How much should they sell the computer for?

Answers

Answer:

They should sell the computer for $287.50

Step-by-step explanation:

Let's solve the 25% increase first

100% = $200

100% + 25% = 125% = 1.25

200 x 1.25 = $250

Then we find the 15% increase

100% = $250

100% + 15% = 115% = 1.15

250 x 1.15 = $287.50

So, they should sell the computer for $287.50

please help me!! i would really appreciate it

m = ___ feet

Answers

Answer:

Step-by-step explanation:

Since it's a 45-45-90 degree triangle, the base and the leg will be the same length. So from there, you just use the Pythagorean theorem and do [tex]5^{2} +5^{2} =m^{2} \\[/tex]

[tex]50=m^{2}[/tex]

and m is [tex]5\sqrt 2[/tex]

I need help plz no links

Answers

Answer:

6

Step-by-step explanation:

From the pythagorean theorem the square lenght of hypotenuse is equal to sum of square lenght of base and side

(6.5)^2 = x^2 + (2.5)

42.25 = x^2 + 6.25 subtract 6.25 from both sides

36 = x^2 and x = 6

Guided Practice


Write an equation of a line with the given slope and y-intercept.


m = –1, b = –6


A.
y = x + 6


B.
y = –6x – 1


C.
y = –x – 6

Answers

Answer:

C.

y = –x – 6

Step-by-step explanation:

Use the slope-intercept form  

y

=

m

x

+

b

to find the slope  

m

and y-intercept  

b

.

Slope:  

5

3

y-intercept:  

( 0 , − 2 )

Write in slope-intercept form,  

y = m x + b . y = 5 /3 x − 2

Graph the line using the slope and y-intercept, or two points.

Slope:  

5

3

y-intercept:  

(

0

,

2

)

x

y

0

2

3

3

Use the slope-intercept form  

y

=

m

x

+

b

to find the slope  

m

.

m

=

5

3

Use the slope-intercept form to find the slope and y-intercept.

Slope:  

1

y-intercept:  

( 0 , 6 )

Use the slope-intercept form to find the slope and y-intercept.

Slope:  

6

y-intercept:  

( 0 , − 1 )

Use the slope-intercept form to find the slope and y-intercept.

Slope:  

1

y-intercept:  

( 0 , − 6 )

8. Given : triangle PQR and triangle TSR are right triangles , R is the midpoint of overline PT , overline PQ cong overline TS Prove : Delta PQR cong Delta TSR

Answers

By using the ASA Congruence Theorem, Delta PQR is congruent to Delta TSR.

We can prove this by using the fact that triangle PQR and triangle TSR are both right triangles and that R is the midpoint of overline PT and overline PQ is congruent to overline TS. Since R is the midpoint of overline PT, it follows that overline PR is congruent to overline TR (by the midpoint theorem).

Since PQR is a right triangle, and R is the right angle, it follows that angle PQR is congruent to angle TSR (by the definition of a right angle). Since overline PQ is congruent to overline TS, it follows that angle PQS is congruent to angle TSR (by the definition of congruence). Together, these congruences imply that triangle PQR is congruent to triangle TSR by the ASA congruence theorem.

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Simplify the radical

Answers

Answer:

The answer is in the screenshot below

Step-by-step explanation:

Please help! I'll mark as brainliest

Answers

Answer:

your work is not clearly taking sorry i can't see

What is solvable and unsolvable problems?

Answers

Therefore , the solution of the given problem of algorithm comes out to be solution of the non solvable and solvable problems cannot be solved.

Specify the algorithm.

A method for performing calculations or solving problems is known as an algorithm. Algorithms act as a thorough set of instructions that step-by-step direct hardware- or software-based processes through a series of planned activities. In every aspect of IT area, algorithms are utilized regularly.

Here,

Two different kinds of issues arise in TOC: - Problems that can be and can't be computed When something is "computable" (or "solvable"),

it means that it can be solved using an algorithm or a set of steps.

No method exists that can produce an output that is either "true" or "false," hence this problem is non-computable (or unsolvable).

Therefore , the solution of the given problem of algorithm comes out to be solution of the non solvable and solvable problems cannot be solved.

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PLS PLS HELP ASAP!!! ILL GIVE BRAINIEST AND 50 POINTS!!!

Identify or mark the missing side or angle that would make triangle ABC congruent to triangle PDF by SAS

Answers

Answer:

Mark the sides BC and DF as congruent---------------------------------------------------We are given a side and an adjacent angle and need to identify the missing side or angle for proof by SAS .SAS is side-angle-side and requires two sides and the included angle to be congruent on both triangles.The missing bit is the other side of the marked angle B and D:sides BC or DF.

Step-by-step explanation:

Radicals please help

Answers

On solving the provided question, we can say that - the radicals are as follows be = 3x^2|y| sqrt(7x)  

what are radicals?

The square root or nth root symbol is called a radical. Expressions with square roots are referred to as root expressions. A radical's radicand is a number or phrase that appears there. The radicals 7, 2y+1, and so on are examples. The following phrases can also be used to describe radicals: Radical equations are equations contained within of radicals. The term "root expression" refers to the expression found inside the square root. Examples of radical representations are the numbers 2, 372, 2x+7, and 41p.

here,

the radicals will be - 7xy ∛(xy^2)

and   3x^2|y| sqrt(7x)  

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How do you find the domain of a function with two variables?

Answers

The domain of a function with two variables is the set of all possible inputs (x-values and y-values) that make the function defined. To find the domain, first identify all of the restrictions on the x-values and y-values, then combine them into a single set of restrictions.

The domain of a function with two variables is the set of all possible inputs (x-values and y-values) that make the function defined. To find the domain, first identify all of the restrictions on the x-values and y-values. These restrictions may come from the function itself, such as any values that would make the function undefined, or from outside sources, such as boundaries placed on the function’s input. Once all of the restrictions are identified, they must be combined into a single set of restrictions. This set of restrictions defines the domain. For example, if the function is defined for all x-values between 1 and 5 and all y-values between -3 and 7, then the domain is all x-values between 1 and 5 and all y-values between -3 and 7. The domain of a function with two variables is an important part of understanding how the function behaves, as it defines the range of inputs for which the function is valid.

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uh i need help now pls ty

Answers

Answer:

2 and 3/4

Step-by-step explanation:

The pattern is to add 2/4 each time. to find the 6th term, add 2/4 three more times.

1 and 1/4 + 2/4 = 1 and 3/4

1 and 3/4 + 2/4 = 2 and 1/4

2 and 1/4 + 2/4 = 2 and 3/4

What is the surface area of the following prism

Answers

Answer:

588 ft^2

Step-by-step explanation:

Lets start by making either a mental or physical list of the different sized sides on the prism. Check that the number of sides you assign to the dimensions has an overall total of six. I've made that mistake before lol it was a bit depressing.

16x6, two sides16x9, two sides6x9, two sides

thats 96 ft^2, and two sides makes it 192 ft^2thats 144 ft^2, and two sides makes it 288 ft^2thats 54 ft^2, and two sides makes it 108 ft^2

We can now add all of our values up:

192 + 288 + 108 = 588 ft^2

What is 5c−3d−12c+d−6 written in simplest form?

Answers

To simplify the expression 5c−3d−12c+d−6, we can combine like terms:

5c − 12c + d − d − 6 = (-12c + d) + (-6)

Therefore, the expression 5c−3d−12c+d−6 can be simplified to -12c + d - 6.

24 less than z is less than 12.

Answers

Answer:

36

Step-by-step explanation:

24+12=36

Find the area of a circle with radius,
r
= 6.43m.
Give your answer rounded to 2 DP.

Answers

Answer:

129.89 m²

Step-by-step explanation:

Area of a circle of radius r is A = πr².

If r = 6.43 m, then A = π(6.43 m)²  =  129.89 m²

How many cups are in 7 liters of water? (round to 3 decimal points only, use c for
cups) *

Answers

Answer:

29.587 Happy Learning :)

A performance score on the normally distributed WAIS Test that is higher than all but 2 percent of all scores earns an intelligence score of:

Answers

Scores earns an intelligence score of 130

What percentage of WAIS scores fall into this range?

According to the 68-95-99.7 rule, 68% of persons have WAIS scores ranging from 100-15 to 100+15. WAIS scores between 85 and 115 are obtained by 99.7% of the population. As a result, 32% of adults have WAIS scores of 85 or above. Factor Analysis is a statistical process used to discover clusters of similar questions (called factors) on a test; it is used to identify multiple levels of performance that underpin one’s overall score.

The WAIS categories are shown below and are based on a mean of 100: Scores of 130 and higher are deemed talented. Scores between 120 and 129 are regarded extremely intelligent. Normal intellect is defined as a score between 110 and 119.

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Complete question is: A performance score on the WAIS that is higher than all but 2 percent of all scores earns an intelligence score of:

115.120.130.145.

I need help with my final!

Answers

Answer:

it is c

Step-by-step explanation:

Which equation can be used to solve for the value of n if 2 + n = 12?

n = 12 – 2
n = 2 – 12
n = 12 + 2
n = 2 + 12

Answers

n = 12-2 would be it

Solve for the variable using cross products.
3/5 = x/6
Solve for x as a decimal

Answers

Answer:

x = 3.6

Step-by-step explanation:

3/5 = x/6

multiply both sides by 6

18/5 = x

as a decimal

x = 3.6

Answer:

x = 3.6

Step-by-step explanation:

3/5 = x/6

multiply both sides by 6

18/5 = x

as a decimal

x = 3.6

One angle in a triangle measures 98°. Another angle measures 37°.
What is the measure of the third angle?

Answers

Answer:

98 + 37 = 135

180 - 135 = 45

Step-by-step explanation:

u might be asking yourself why added both of the measures .The reason why i added both of the measurements and subtracted it from 180 is that a triangle measures up to 180 if u ever hear someone talkin about an angle that measures more than 180 then that won't be a trianlge ...If u add both of the answers the will surely give u 180 if u don't believe it 98 + 37 +45 = 180

Please help this assignment is for a grade.

Answers

Answer:

the answer is d

Step-by-step explanation:

need help plsssssssss

Answers

Answer: y<-5x+9

Step-by-step explanation:

Slope is -5, y-intercept is 9 and the shaded area is on the left side (meaning y is less than the line). The line is dotted which means that the answer will less than but not equal to.

Elliot purchased 3 trick cameras and 4 fake

snakes and spent a total of $40. Kaci bought 7

trick cameras and 8 fake snakes, and her total

was $85. Let x be the price of the trick

cameras and let y be the price of the snakes. What are equation can be used to solve this system of equations?

Answers

If Elliot purchased 3 trick cameras and 4 fake snakes for $40 and  Kaci bought 7 trick cameras and 8 fake snakes for $85 , then the system of equations that can be used to find the cost of trick camera and fake snakes are [tex]3x+4y=40[/tex] and [tex]7x+8y=85[/tex] .

Elliot purchased 3 trick cameras and 4 fake snakes for $40  ;

Kaci purchased 7 trick cameras and 8 fake snakes for  $85 ;

let the number of trick cameras purchased be = x ;

let the number of fake snakes purchased be = y ;

So , the equation for Elliot's purchase is ⇒ [tex]3x+4y=40[/tex] ;

and the equation for Kaci's purchase is ⇒ [tex]7x+8y=85[/tex] ;

Therefore , the equations to solve for the number of trick cameras and number of fake cameras are  [tex]3x+4y=40[/tex] and [tex]7x+8y=85[/tex] .

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hree hundred books sell for 40 dollars each, resulting in a revenue of 12,000 dollars. For each $5 increase in the price, 25 fewer books are sold. Write the revenue R as a function of the number x of $ 5 increases.

Answers

A total of 12,000 dollars is made from the sale of 300 books at a price of $40 each. 25 fewer books are sold for every $5 increase in price.      R(x)=(40+5x)(300−25x) R ( x ) = ( 40 + 5 x ) ( 300 − 25 x )

What is the revenue R as a function of number x ?

Assumed in this instance is , At a price of 40 dollars apiece, [tex]$(300)(40 \$)=12,000 \$$[/tex] books generate $300 in revenue. The result is that 25 fewer books are sold if we raise the price of each book by $5. That's [tex]$(300-25 x)$[/tex]. Due to the fact that the price always rises by five times more than the number of books, the cost is [tex]$(40+5 x)$[/tex].

[tex]$R=(300-25 x) \cdot(40+5 x)$[/tex]

[tex]$R=12000+6000 x-1000 x-125 x^2$\\$R=-125 x^2+5000 x+12000$\\$R=125 x^2-5000 x-12000$[/tex]

The revenue R is expressed as a function of the number x as it approaches 5. R(x)=(40+5x)(30025x) is the necessary revenue function. R(x) = (40 + 5 x)(300 25 x) is the necessary revenue function.

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