In the similar triangles below, solve for the value of X.

In The Similar Triangles Below, Solve For The Value Of X.

Answers

Answer 1

9514 1404 393

Answer:

  x = 8

Step-by-step explanation:

Corresponding segments are proportional.

  (3x +1)/10 = (7x -1)/22

  11(3x +1) = 5(7x -1) . . . . . . multiply by 110

  33x + 11 = 35x -5 . . . . . . eliminate parentheses

  16 = 2x . . . . . . . . . . . add 5-33x to both sides

  8 = x . . . . . . . . . . divide by 2

Answer 2

Answer:

Solution :-

[tex] \sf \bull \large \: \dfrac{3x + 1}{10} = \dfrac{7x - 1}{22} [/tex]

On cross multiplication

[tex] \large \tt \: 22(3x + 1) = 10(7x - 1)[/tex]

[tex] \large \tt \: 66x + 22 = 70x - 10[/tex]

[tex] \large \tt \: 70x - 66x = 22 - 10[/tex]

[tex] \large \tt \: 4x = 12[/tex]

[tex] \large \tt \: x = 3[/tex]


Related Questions

If y = 2x + 1 and x = 4, then y =

Answers

y = 2•4 + 1
y= 8+1
y= 9

Answer:

9

Step-by-step explanation:

First, plug-in 4 for x to get the equation y = 2(4) + 1

Then using PEMDAS we multiply 2 and 4 to get 8 and then add the one to make y = 9

You want new picture frames that cost $12 each. Shipping is $8 per order. If
you buy 15 frames, what is the cost of the order?
A:$132
B:$180
C:$188
B:$300

Answers

C 15 x 12 =$180 plus $8 shipping is $188.00
The answer is 300 because you do 12 + 8 which equals 20 then you do 20 x 15 which equals 300

2. The cost of Matt and Natalie's dinner was $23.25. They want to leave a
18% tip. What is the amount of the tip they are going to leave?

Answers

Answer:

$4.19 tip

Step-by-step explanation:

23.25 x 0.18 = $4.185

Which of the following statements is true about the sequence? Select all that apply.



f(4)=18f of 4 is equal to 18, , ,

f(5)=33f of 5 is equal to 33, , ,

f(3)=10f of 3 is equal to 10, , ,

f(2)=5f of 2 is equal to 5, , ,

f(6)=66f of 6 is equal to 66, , ,

Answers

Answer:

f(5)=33f of 5 is equal to 33

Step-by-step explanation:

f(5)=33f of 5 is equal to 33ieieieuejehrdjdjhdhhrhd

Match each radius or diameter of a circle with its approximate circumference.
Tiles
Aa
radius: 3 units
diameter: 12 units
diameter: 36 units
radius: 5 units
Hols
Pairs
circumference: 113.04 units
circumference: 18.84 units
A>
circumference: 31.4 units
>
circumference: 37.68 units
>

Answers

Answer:

radius: 3 units <----> Circumference: 18.84 units

Diameter: 12 units <----> Circumference: 37.68 units

Diameter: 36 units <----> Circumference: 113.04 units

Radios: 5 unites <----> Circumference: 31.4 units

Step-by-step explanation:

How I got the answers for the radiuses:

3 (this is only half the diameter so if you do 3 x 2 you will get the diameter.)

3 x 2 = 6

C = pi x d

C = 3.14 x 6

C = 18.84 [this is the first radios]

5 (this is only half the diameter so if you do 5 x 2 you will get the diameter.)

5 x 2 = 10

C = pi x d

C = 3.14 x 10

C = 31.4 [this is the second radios]

How I got the diameters:

12 (this is the full diameter so we do not have to multiply it by 2)

C = pi x d

C = 3.14 x 12

C = 37.68 [this is the first Diameter]

36 (this is the full diameter so we do not have to multiply it by 2)

C = pi x d

C = 3.14 x 36

C = 113.04 [this is the second Diameter]

In Little Kitty City, the tax rate is 7.25%. What would the tax be on a $500 TV? (Hint: Change 7.25% to a decimal by moving the decimal two spots to the left.

Answers

Answer:

Tax amount = $36.25

Step-by-step explanation:

The tax rate is 7.25%.

We need to find the tax be on a $500 TV.

It can be calculated as follows :

[tex]C=500\times 7.25\%\\\\=500\times \dfrac{7.25}{100}\\\\=\$36.25[/tex]

So, the required tax on $500 TV is $36.25.

Water Tank A has a capacity of 550 gallons and is 66%
full. How much water is in Tank A?

Answers

Answer:

363

Step-by-step explanation:

Hope its right

Answer:

363 gallons

Step-by-step explanation:

550 % 100 x 66 = 363

A swimming pool can be filled at the rate of 25 liters per minute using a special pump. How many hours will it take to fill a pool that holds 5,000 liters of water? Round to the nearest hunredth.

Answers

Answer:

3.33 hrs

Step-by-step explanation:

5000 liters divided by 25 liters per minute = 200 minutes

Answer:

3 hours and 20 minutes

Step-by-step explanation:

Divide: 5,000 divided by 25=200

200 minutes= 3 hours and 20 minutes

Hope this helped!! :)

Stay safe and have a wonderful day/night!!!!!

Brainliest?!?!

Write the function that the balance after t years $35000 deposit that earns 9.2% annual interest compounded quarterly

Answers

Answer:A = P(1+r/n)nt

A = 3500(1+.092/4)4t

Step-by-step explanation:

Please! Help! (due by tonight)

Answers

Answer:

21a-14b

15b-20a

Step-by-step explanation:

Answer: a + 3b

Step-by-step explanation:

Okay, so...

7(3a - 2b) = 7(3a) - 7(2b) ... distributive property

21a - 14b

5(3b - 4a) = 5(3b) - 5(4a) ... distributive property

15b - 20a

(21a - 14b) + (15b - 20a) = 21a -12b + 15b - 20a =

a + 3b

A screen printer can pack up to 24 sweatshirts into a box for shipping.
In which inequality does n represent the minimum number of boxes needed to ship 360 sweatshirts to a customer?

Answers

Answer:

n = 15

Step-by-step explanation:

360 ÷ 24 = 15.

good luck, i hope this helps :)

Answer:

N = 15

Step-by-step explanation:

I will make brainliest please help!

Answers

Answer:

Use desmos in the future to figure this out

Step-by-step explanation:

Desmos is a miracle for graphing assignments.

Also, (2, 7)

Just substitute every one of them in!

3*-5+4*1 is not bigger than 20

0^-5+-3*4 is not bigger than 20

3*-4+4*-2 is not bigger than 20

3*2+4*7=34 is bigger than 20

Therefore choosing answer D!

Whats the common denominator of 12 over 24 help now​

Answers

Answer:

12

Step-by-step explanation:

12/12=1

24/12=2

12
because 12 divided by 12 is one
and 24 divided by 12 is 2
so, both of the numbers can be divided by 12

pls help Find the area of the shape shown below.

\text{ units}^2 units
2

Answers

Answer:

8 sq units

Step-by-step explanation:

area of square in middle is 2 x 2 = 4 sq units

area of one triangle is 1/2(2)(2) = 2 sq units

however, there are two triangles, so you have to double 2 to get 4

4 + 4 = 8

Answer:

8cm^2

Step-by-step explanation:

Method 1: It's a trapezium, so take the top length, (6cm), add it to the bottom length (2cm) = 8cm which is then divided by 2 (4cm) then multiplied by the height (2cm) giving an area of 8cm squared.

Method 2: area of the square = 2 x 2 = 4cm^2

Triangle 1: 2 x 2 = 4, divided by 2 = 2cm^2

Triangle 2: same as triangle 1.

Total: 4 + 2 + 2 = 8cm^2

what is 9:22:00 after being rounded to the nearest hour ? and why? ​

Answers

It would be rounded to 9:00 bc 9:22 is closer to 9:00 then 10:00 or it could be 9:30

CAN YOU PLZZZZZZZZZ HELP ME WITH THIS

Answers

Answer:

b

Step-by-step explanation:

(:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Here is your GUIDE for you to go by}\downarrow[/tex]

[tex]\bullet\bold{\ \geq \ or \leq \ will\ have\ a\ \underline{CLOSED}\ or\ \underline{SHADED\ circle}}\\\bullet\bold{\ >\ or\ <\ will\ have\ a \ \underline{O P E N E D\ circle}}\\\bullet{\bold{\leq \ or\ \geq\ has\ its\ ENDING\ POINT\ as\ part\ of\ its\ solution}}\\\bullet\bold{>\ or <\ the\ END\ POINT\ ISNT\ have\ its\ part\ of\ the\ solution }[/tex]

[tex]\bold{\ Random\ GUIDE\ \#2}\downarrow[/tex]

[tex]\bold{1. \geq is\ GREATER\ or\ EQUAL\ TO}\\\bold{2. \leq\ is\ LESS\ or\ EQUAL\ TO}\\\bold{3. >\ is\ GREATER\ THAN}\\\bold{4. < \ is\ LESS\ THAN}[/tex]

[tex]\bold{6>x}[/tex]

[tex]\bold{Well, based\ on\ your\ GUIDE\ we\ can do\ PROCESS\ OF\ ELIMINATION.}\\\\\bold{REMEMBER: < or > will\ have\ a\ O P E N E D\ circle.\ This\ throws\ A\ \& C}\\\bold{as\ your\ results\ because\ they\ are\ CLOSED\ CIRCLES\ and\ we\ are}\\\bold{looking\ for\ O P E N E D\ circles. This\ leads\ B\ & D\ as\ your\ POSSIBLE}\\\bold{result}[/tex]

[tex]\bold{>\ equals \ GREATER\ THAN}[/tex]

[tex]\bold{Graph\ B.\ is\ SHADED\ to\ the\ LEFT\ which\ we\ need}[/tex]

[tex]\bold{Graph\ D.\ would\ be\ TOO\ BIG}[/tex]

[tex]\boxed{\boxed{\bold{Answer: Option\ B.\ }}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite40:)}[/tex]

5x
3.
+
4x2-9
2x+1
2x2+x-3

Answers

Answer:

~Re-write the equation~

SOLVE:

5x(3)+4x (2-9)+(2x+1)+(2x2+x-3)

5(1)(3)=15

4(2-9)=8+36=44

2x+1=3

2x2+x-3:4(1)-3=1

15+44+3+1

ANSWER=63x

Step-by-step explanation:

I wasn't quite sure because of the way you wrote it but here's an answer!

9. What is the range of the relation [(4, 2), (1, 1), (0, 0). (1.-1). (4, -2) ?​

Answers

Answer:

{-2,-1,0,1,2}

Step-by-step explanation:

When we are talking of the range, we are referring to the possible y-values the relation can take

Hence, a set of y-values will represent the range of the relation

we have this as:

{2, 1 , 0, -1 , -2}

Arranging in order, we have ;

{-2,-1,0,1,2}

Which is the graph of the equation y=-3/2x+6

Answers

Answer:

here's the graph

One type of cereal has 2 grams of protein per 1 cup serving. Another cereal has 1 gram of protein per half cup serving. Do these rates form a proportion?

Answers

yes because 1 g per half a cup is equal to 2 grams per cup. multiply the half cup by 2 which gives u 1 then multiply the 1 g that gives u 2 g

Anita sells her ring at the price of Rp 540,000.00. If Anita gets If Anita gets the profit of 20%, then how much does Anita buy that ring ?

Answers

Answer:

selling price=Rp 540,000.00.

profit=20%

cost price=selling price- profit% of cost price

cost price+profit% of cost price=selling price

cost price (1+20%)=Rp 540,000.00.

cost price=Rp 540,000.00./(1+20/100)=Rp 450000.00 is your answer

Here are five number cards 2, 5, 7, 8,9. One of the cards is removed and the mean average of the remaining four number cards is 6. Which card was removed you must show your working out

Answers

Answer:

7

Step-by-step explanation: Trust me

Answer:

Calculate the average of the five original cards:

2+5+7+8+9=31

31/5 = 6.2

So, if a card was removed, the four remaining cards would have an average of 6, meaning that they would add up to 24.

31-x=24?

Subtract 31 from both sides: -x=-7

Divide by -1 on both sides: x=7

So, we know that 7 was removed.

Let me know if this helps!

Arianna and Hansen are hosting events that are catered by the same company. Arianna plans to have 65 adults and 56 children attend, so the total projected cost of her meals is $3,003. Hansen has 86 adults and 62 children on his guest list, so he will pay the caterer $3,816. How much does the caterer charge for each meal? Choose the correct system of equation given that A stands for adults and C stands for children.

Answers

Answer:

C = $13

A = $35

Step-by-step explanation:

The computation is shown below:

Let us assume the Adults be A

And children be C

So the first equation would be

65A + 56C = $3,003

And, the second equation is

86A + 62C = $3,816

Now multiply by 86 in equation 1 and 65 in equation 2

5,590A + 4,816C = $258,258

5,590A + 4,030C = $248,040

786C = 10,218

C = $13

And A is

65A + 56($13) = $3,003

65A + $728 = $3,003

65A = $3003 - $728

65A = $2,275

A = $35

Exit Which algebraic expression below represents four multiplied by a number? A. 4 – x B. x + 4 C. 4x D.

Answers

Answer:

C. 4x

Step-by-step explanation:

Considering the options

A.4 – x - This is the difference between 4 and a number x

B. x + 4 - This is the sum of a number x and 4

C. 4x - This is the product of a number x and 4

D.

From the above, option C which is the product of x and 4 is same as four multiplied by a number.

3. At an ice cream parlor, ice cream cones cost $2.00 and sundaes cost $3.50. One day, the receipts for 114 cones and
sundaes total $301.50. How many cones and sundaes were sold? (Assume tax is included in the cost.)

Answers

Answer:

Number of ice cream cones = 65

Number of sundaes = 49

Step-by-step explanation:

Let

x = number of ice cream cones

y = number of sundaes

x + y = 114 (1)

2x + 3.5y = 301.50 (2)

From (1)

x = 114 - y

Substitute into (2)

2x + 3.5y = 301.50 (2)

2(114 - y) + 3.5y = 301.50

228 - 2y + 3.5y = 301.50

- 2y + 3.5y = 301.50 - 228

1.5y = 73.50

y = 73.50/1.5

y = 49

Substitute y = 49 into (1)

x + y = 114 (1)

x + 49 = 114

x = 114 - 49

x = 65

Number of ice cream cones = 65

Number of sundaes = 49

Which elements make up a water molecule?

A) hydrogen and nitrogen
B)oxygen and nitrogen
C) oxygen and carbon
D) hydrogen and oxygen

Answers

Answer:

D) Hydrogen and Oxygen

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Water is made of both hydrogen and oxygen

7 students in Ms. Moore’s algebra class earned Bs and that represents 35% of the class. How many students were in the class

Answers

Answer:

20

Step-by-step explanation:

not sure if it is correct:

7÷35=0.2

0.2×100=20

After the neighborhood block party 2/4 of the brownies were left in the pan. Then Claire ate 1/6 of the leftovers. How much of the entire pan did she eat?

Answers

Claire at 2/4 of the brownie and 1/6 of the leftover.
Claire ate 2/4 of brownies all the left overs

Which of these nets can not be used to create a cube?

Answers

Answer:

C

Step-by-step explanation:

A net is formed when the surfaces of a given shape is laid flat on a horizontal plane. And on folding it with respect to its edges, the initial shape is reproduced with no distortion or loss.

From the given question, the net that would not produce a cube is that of option C.

Luna weighs 8 pounds which is about 75 % of her adult weight. What will lunas adult weight be? Write an equation for this situation and solve it to find lunas adult weight

Answers

Answer: 10.67 pounds

Step-by-step explanation:

Let her adult weight be represented by x.

Luna weighs 8 pounds which is about 75 % of her adult weight. This can then be formed into an equation as:

75% of x = 8

75/100 × x = 8

0.75 × x = 8

0.75x = 8

x = 8/0.75

x = 10.67

Her adult weight is 10.67 pounds

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