Find the value of x and then find the length of RT
RT =
X=

Find The Value Of X And Then Find The Length Of RTRT =X=

Answers

Answer 1

Answer:

x = 5, RT = 18

Step-by-step explanation:

[tex]\triangle MNL \sim \triangle SRT... (given) \\

\therefore \frac{MN}{SR} = \frac{NL}{RT}.. (c.s.s.t)\\ \\

\therefore \frac{84}{24} = \frac{63}{3x+3}\\ \\

\therefore \frac{7}{2} = \frac{63}{3x+3}\\ \\

\therefore 3x+3 = \frac{63\times 2}{7}\\ \\

\therefore 3x + 3 = 9\times 2\\

\therefore 3x + 3 = 18\\

\therefore 3x = 18 - 3\\

\therefore 3x=15\\

\therefore x = \frac{15}{3}\\

\huge \red {\boxed {\therefore x = 5}} \\ \\

\because RT = 3x + 3\\

\therefore RT = 3\times 5+ 3\\

\therefore RT = 15+ 3\\

\huge \orange {\boxed {\therefore RT = 18}} [/tex]


Related Questions

6-2x = 5x - 9x + 14.

Answers

Answer:

X= 4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

[tex]6-2x=5x-9x+14\\6-2x=-4x+14\\6=-2x+14\\-8=-2x\\4=x[/tex]

The Lee family pays an instructor $50 for Joylin’s 40-minute drum lesson. How much does the instructor charge per minute for the lessons?

Answers

answer:

$1.25 per minute

reason:

to find the cost per minute, you divide the money by the number of minutes
for this problem, divide 50 by 40 to get 1.25

Answer:

The instructor charges 1.25 per minute

Step-by-step explanation:

Take the amount of money and divide by the number of minutes

$50 /40 minutes

5/4

1.25

The instructor charges 1.25 per minute

Estimate a 15% tip on a dinner bill of $43.27 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

6.00$

Step-by-step explanation:

43.27 rounds down to 40.00.

15% of 40.00 is 6.00

What is the length of BC in the right triangle below?
A. ^234
B. 234
c. ^216
D. 216

Answers

We can use the pythagorean theorem to solve this

The pythagorean theorem = a^2 + b^2 = c^2, while

a = one leg

b = the second leg

c = the hypotenuse

In this problem,

a = 3

b = 15

c = ?

Let's plug our values into the pythagorean theorem

(3)^2 + (15)^2 = c^2

9 + 225 = c^2

Add together the left side

234 = c^2

Take the sqrt of both sides

sqrt(234) = c

The length of BC = sqrt(234)

Which pair of transformations could map AABC to AA'B'C', such that the triangles are similar but
not congruent?
1.a rotation and a reflection
2.a rotation and a translation
3.a dilation and a rotation
4.a translation and a reflection

Answers

Answer:

a dilation and a rotation

Step-by-step explanation:i got it on my iready

pair of transformations could map AABC to AA'B'C', such that the triangles are similar but not congruent is dilation and a rotation

What is dilation?

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape.

According to the information

The congruency can't be obtain after dilation.

Also, to make transformation rotation should be done.

Hence, the transformation occur due to dilation and a rotation,

Learn more about dilation here:

https://brainly.com/question/13176891

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4a. A create containing 24 bottles of fruit juice is made up of 10 bottles of oranges, 8 bottles of apple and 6 bottles of lemon. If one bottle is picked at random, what is the probability of getting a
Apple juice​

Answers

Answer:

1/6

Step-by-step explanation:

HELP ME ASAP DUE IN 10 MIN

Answers

Answer:

oh god i rushed so much.. i hope you understand..the written answers..if confused..please inform..

If one side of a square measures (3x − 8) ft. , find the area of the square. Show work.

Answers

Answer:

[tex]\huge\boxed{A=(9x^2-48x+64)ft^2}[/tex]

Step-by-step explanation:

The formula of an area of a square:

[tex]A=s^2[/tex]

[tex]s[/tex] - side of a square

We have [tex]s=(3x-8)ft[/tex]

Substitute:

[tex]A=(3x-8)^2[/tex]

METHOD 1:

Use  [tex](a-b)^2=a^2-2ab+b^2[/tex]

[tex]A=(3x)^2-2(3x)(8)+8^2=9x^2-48x+64[/tex]

METHOD 2:

Use FOIL: [tex](a+b)(c+d)=ac+ad+bc+bd[/tex]

[tex]A=(3x-8)(3x-8)=(3x)(3x)+(3x)(-8)+(-8)(3x)+(-8)(-8)\\\\=9x^2-24x-24x+64=9x^2-48x+64[/tex]

Answer:

9x^2-48x+64 ft^2

Step-by-step explanation:

(3x − 8) (3x − 8)

Multiply 3x by (3x − 8)

3x(3x − 8)

9x^2-24x

Multiply - 8 by (3x − 8)

- 8(3x − 8)=-24x+64

Combine 9x^2-24x and -24x+64

9x^2-48x+64 ft^2

Hope this helps! Plz award Brainliest : )

HELP PLEASE ITS EASY IM JUST DUMB 25 PTS CUZ I ONLY HAVE THAT!!!!!!!!!!!!!!! How small are microorganisms?

Answers

Answer:

Step-by-step explanation:

Microbes are generally described as being microscopic in size. ... In comparison to animal cells, microbes tend to be smaller. They are about 1/10th the size of a typical human cell. Microbes are generally measured in the scale of one millionth of a meter, which is known as a micrometer. i hope this is helpful.

The length of a rectangle is six times its width. If the perimeter of the rectangle is 140 yd, find its length and width.

Answers

Answer:

[tex] \boxed{ \sf{length \: of \: a \: rectangle = 60 \: yd}}[/tex]

[tex] \boxed{ \sf{width \: of \: a \: rectangle = 10 \: yd}}[/tex]

Step-by-step explanation:

Let the width of a rectangle be 'w'

Length of a rectangle ( l ) = 6w

Perimeter of a rectangle ( P ) = 140 yd

Finding the width of a rectangle

[tex] \boxed{ \sf{perimeter \: of \: rectangle= 2(length + breadth)}}[/tex]

[tex] \dashrightarrow{ \sf{140 = 2(6w + w)}}[/tex]

[tex] \dashrightarrow{ \sf{140 = 2 \times 7w}}[/tex]

[tex] \dashrightarrow{ \sf{140 = 14w}}[/tex]

[tex] \dashrightarrow{ \sf{14w = 140}}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{14w}{14} = \frac{140}{14}}} [/tex]

[tex] \dashrightarrow{ \sf{w = 10}}[/tex]

Width of a rectangle = 10 yd

Now, replacing / substituting the value of w in 6w in order to find the length of a rectangle

[tex] \dashrightarrow{ \sf{length = 6 \times x = 6 \times 10 = 60 \: yd}}[/tex]

Length of a rectangle = 60 yd

Hope I helped!

Best regards! :D

If m /_ 4 = 35 find m /_ 2. Explain. ​

Answers

Answer:

A

Step-by-step explanation:

2 and 4 are on opposite sides of the transversal but both on the inside of the parallel lines. This makes them alternate interior angles, which are congruent.

The product of 8 and a number of x

Answers

Answer:

8(x+3)

Step-by-step explanation:

Can you help me with the problem listed in the pictures below? Please and thank you. Will mark BRAINLIEST!!! :)

Answers

Answer:

14 books

Step-by-step explanation:

Let b = number of books at the beginning

She sold 1/2 of the books

b - 1/2 b

This is how many she had left

Then she bought 7

b - 1/2 b + 7

this equals 14

b - 1/2 b + 7 = 14

Combine like terms

1/2 b + 7 = 14

Subtract 7 from each side

1/2 b = 14-7

1/2 b = 7

Multiply each side by 2

1/2 b * 2 = 7*2

b = 14

She started with 14 books

4. Marcella has 4 fewer male cousins than female cousins. Let f represent the number of female cousins. Write an expression for the number of boy cousins.

Answers

f - 4 = number of boy cousins.

The expression for the number of boy cousins will be f – 4.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Marcella has 4 fewer male cousins than female cousins.

Let f represent the number of female cousins.

Then the expression for the number of boy cousins will be

⇒ f – 4

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

in the nature of the roots, what if the answer is negative what will be it's root?
a.rational and unequal
b.irrational and unequal
c.rational and equal
d.imaginary and unequal
please needed the answer right away......​

Answers

Answer:

d.imaginary and unequal

Step-by-step explanation:

In an effort to address this problem, mathematicians "created" a new number, i, which was referred to as an "imaginary number", since it was not in the set of "Real Numbers". This new number was viewed with much skepticism. The imaginary number first appeared in print in the year 1545

The imaginary number "i" is the square root of negative one.

neg i

An imaginary number possesses the unique property that when squared, the result is negative.

Use Order of Operations to solve. PEMDAS 7 + 8(32 -2) Use Order of Operations to solve.

Answers

247 is you answer that you are looking for

Answer:

247

Step-by-step explanation:

32-2 First then multiply that by 8 to get 240

Last add the remaining 7

Hope this helped

p+8.94/3 = 3.82 whats p

Answers

Answer:

p=.84

Step-by-step explanation:

p=8.94/3=3.82

p+2.98=3.82

p=.84

You rode your bicycle for 20 minutes and burned 180 calories. How many calories did you burn per minute?

Answers

180 calories / 20 mins = 9 calories / minute

Answer:

9 calories every minute

Step-by-step explanation:

180/20=9

f(x)=8^x+7 what is f(3)

Answers

Answer:

Step-by-step explanation:

f(3) = 8^3 + 7 = 512 + 7 = 519

Find the distance between (-2, 1), (-5,5)

Answers

Answer:

(-2, 1). (5,5) is 11.55

Does anyone know this?

Answers

Answer:

-124

Step-by-step explanation:

The equation for a discriminant is:

[tex]b^{2} -4ac[/tex]

So for

[tex]7x^{2} -4x +5=0[/tex]

a = 7         b = - 4          c = 5

Plug values into the equation.

[tex](-4)^{2} -4(7)(5)[/tex]

16 - 140 = -124

Answer:-124

Step-by-step explanation:

b^2 - 4ac

a = 7  b = -4   c = 5

-4^2 - 4*7*5

16 - 4*35

16 - 140

-124

Antonio has 150 baseball cards. He decided to give you 32% of his cards to you. How many cards did he give you?

Answers

Answer:

He gave you 48 cards.

Step-by-step explanation:

150 * 32% (which is also 0.32) is equal to 48.

Divide the percentage by 100.

32 / 100 = 0.32.

You then multiply 0.32 by 150 to get the part.

0.32 x 150 = 48.

32% of 150 is 48.

Your answer is 48 cards.

i really need help ​

Answers

Answer:

Option C. is the correct answer

Step-by-step explanation:

Choose any value of x and find the values of y. Then plot a graph using all that points. These will neither parallel nor perpendicular.

i need help with math questions

Answers

Answer:

because entries in the table are frequency counts, the table is a frequency table. Entries in the total row and total column are called marginal frequencies or the marginal distribution

Albert bought a jacket for $33.96, a pillow for $10.75, and a glove for $15.25. He paid $40 and the rest he borrowed from his friend. If albert got $0.04 in change from the cashier, how much did he borrow from his friend to pay all the items

Answers

33,96 + 10,75 + 15,25 = $59,96

he paid $40 so 59,96 - 40 = $19,96

the cashier gave him $0,04 so he actually gave $60 to the cashier which means that his friend gave him $19,96

What two integers have the product of 28 and the sum of -11 ? a -2 and -14 b 4 and 7 c -4 and -7 d 2 and 14

Answers

Hey there! I'm happy to help!

Let's look at the factors of 28.

1,28

2,14

4,7

We see that 4 and 7 add to make 11, but not -11. Well, we can just make both of them negative and then it will be -11 and their product will still be 28. Our numbers are -4 and -7.

Have a wonderful day! :D

find the area of the shape.​

Answers

Step by step: Here,

Formula to find area=l×b

=(2x+3)×(x+4)

=6x × 4x

=24x

Or,

2x+3 × x+4

2xsquare+7

What is the standard form for a quadratic equation? _______________________________ What is the vertex form of a quadratic equation? __________________________________ What is the factored form of a quadratic equation

Answers

Answer:

I believe the standard form is: ax2+bc+c=0

Vertex form is:f(x)=a(x-h)2+k

Factored form is: y=1/2(x-6)(x+2)

Step-by-step explanation:

The ax2= ax squared and the (x-h)2= (x-h) squared

Solve by elimination.
5x - 6y = 27
7x + 6y = 9
Show work pls

Answers

Answer:

x = 3y = - 2

Step-by-step explanation:

5x - 6y = 27 .......... Equation 1

7x + 6y = 9 ………… Equation 2

To solve using elimination add the second equation to the first one to eliminate y

That's

5x - 6y + 7x + 6y = 27 + 9

12x + 6y - 6y = 36

12x = 36

Divide both sides by 12

x = 3

Substitute it into any of the equations

Using equation 2

That's

7(3) + 6y = 9

21 + 6y = 9

6y = - 12

Divide both sides by 6

y = - 2

The solutions are

x = 3

y = - 2

Hope this helps you

Factor p2 + 18p + 32.

Answers

Answer:

the answer is ( p+2 ) (p+16)

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