What is the value of x?

What Is The Value Of X?

Answers

Answer 1

Answer:

x = 9 cm

create proportional equation:

[tex]\sf \dfrac{9}{3x-20} = \dfrac{72+9}{3x-20+56}[/tex]

[tex]\sf \dfrac{9}{3x-20} = \dfrac{81}{3x+36}[/tex]

[tex]\sf 9(3x+36) = 81(3x-20)[/tex]

[tex]\sf 27x+324 = 243x-1620[/tex]

[tex]\sf 27x-243x=-1620-324[/tex]

[tex]\sf -216x=-1944[/tex]

[tex]\sf x = 9[/tex]

Answer 2

Answer:

x = 9

Step-by-step explanation:

Since parallel lines cut the transversals proportionally, we can set the following equation and solve for x;

72/9 = 56/(3x - 20)8 = 56/(3x - 20)3x - 20 = 56/83x - 20 = 73x = 27x = 9

Related Questions

each team in a youth soccer league pays $784 to join the league. if a team consists of 12 players and the fee is divided equally among the players, how much does each player pay?

Answers

Answer:

$65.33

Step-by-step explanation:

12x = 784

÷12     ÷12

x = 65.33

They would each have to pay $65.33.

I hope this helps!

These two pentagons are similar.​

Answers

If two pentagons are similar, then their sides are proportional. To find PT, we'll need to set up a proportion.

AE / PT = AB / PQ

---There are many ways to set up this proportion, it just depends on what side lengths you have and ensuring that they match up on both shapes.

6 / x = 5 / 12.5

5x = 75

x = 15

Length of PT = 15 cm

Option C

Hope this helps!

Find the probability of throwing a sum of 10 at least 7 times in 9 throws of a pair of fair dice

Answers

Answer:

19.308

Step-by-step explanation:

The probability of throwing a sum of 10 at least 7 times in 9 throws of a pair of fair dice is 0.083

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

We assume that the probability of throwing a sum of 10 in a pair of fair dice is

[tex]\frac{n(5,5)(6,4)(4,6)}{n\: all\: events}[/tex]

= 3/36

= 0.083

Learn more about probability here;

https://brainly.com/question/11234923

help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Febuary 10th because on the left colom it showss the dates just look for the 10

Using technology, determine the quarterly payment on a 4 year loan of $16,231 at 5.1% compounded quarterly. round your answer to the nearest cent. a. $1,125.69 c. $1,518.85 b. $1,127.86 d. $1,508.31

Answers

The quarterly payment will be $1,127.86

What is compound interest?

Compound interest is the interest on a loan or deposit that  levied on both the first principal and the collected interest from past periods.

The amortization formula is ...

[tex]A=\dfrac{P\timesr}{(1-(1+r)^{-n}}[/tex]

where A is the payment amount, P is the principal amount, r is the interest rate per period, and n is the number of periods.

Here, we have

P=$16,231, r=0.051/4=0.01275, n=4·4=16.

So, the payment is ...

[tex]A=\dfrac{16231\times 0.01275}{1-(1.01275)^{-16}}[/tex]  

[tex]A=$1127.86[/tex]

Hence the quarterly payment amount is $1,127.86.

To know more about Compound interest, follow

https://brainly.com/question/24924853

Need help. can anyone please give an explanation along with the answer?

Answers

Answer:

what's the question

Step-by-step explanation:

If p
=
1
2
, q
=

1
3
and r
=
1
5
, evaluate the following expression:
30
p
q
r
(
p
+
q
+
r
)
(
p
+
q
)
(
p
+
r
)

Answers

Answer:

26535600

Step-by-step explanation:

This took so much work to get into a format I could read hahaha!

I hope it helps!

30 x 12 x -13 x 15(12+-13+15)(12+-13)(12+15) = 26535600

Please Hurry! I will award the first person right the brainlyest award

Answers

Answer:

y = -3

Step-by-step explanation:

When you graph it on a graphing calculator or on desmos, it appears to be at y = -3


A cube is sliced as shown. Find the area of the cross section formed by the slice.

Answers

Answer: 5√(50) = 35.36 m^2

Step-by-step explanation:

The cross section is a rectangle, so its area formula is: Area = length * width.

If you look, the width is the diagonal of the side of the cube; thus, you can use Pythagorean theorem to find its measurement: a^2 + b^2 = c^2 → 5^2 + 5^2 = c^2 →

50 = c^2 → c = √(50)

Now, use the area formula and get: Area = 5 * √(50) = 5√(50) = 35.36 m^2 :)

Directions: Find each missing measure. 1.​

Answers

Answer:

1. 19 Degrees

2. 63 Degrees

3. 37 Degrees

4. 119 Degrees

5. 69 Degrees

6. 71 Degrees

7.1 65 Degrees

7.2 48 Degrees

7.3 42 Degrees

Step-by-step explanation:

Angles in a triangle always add up to 180 degrees. (180-79-82=19 for the first one)

The little box in a triangle represent 90 degrees.

7.2 Vertical Angles are equal to each other

what is the slope of the line on the graph need answer ASAP please thank you I'm in k-12​

Answers

The answer is -1 your welcome

An integer is chosen at random from 1 to 50 inclusive. Find the probability that the chosen integer is divisible by 3. 8/25 3/10 3/50

Answers

How many numbers from 1 to 50 are multiples of 3?

3, 6, 9, 12, 15, 18 .......

Let's change the start and end value of the array and find the number of terms

Start at 3 and go all the way to 48 because those are the first and last multiples of 3 in this array.

There is a formula that allows us to quickly find the number of terms

We subtract the first term from the last term and divide by the amount of increase, then we add 1.

(48 - 3) / 3 + 1   =   16 numbers are exactly divisible by 3.

We have 50 numbers and 16 of them divisible by 3

16 / 50  = 8 / 25 probability

The probability that the chosen integer is divisible by 3 is 8/25 if an integer is chosen at random from 1 to 50 inclusive option first is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

We have the number from 1 to 50.

Total numbers between 1 to 50 or total outcomes = 50

Total favorable outcomes = total number which is divisible by 3

[tex]=\frac{48-3}{3} +1[/tex]

= 15 + 1

= 16

Now probability will be:

= 16/50

= 8/25

Thus, the probability that the chosen integer is divisible by 3 is 8/25 if an integer is chosen at random from 1 to 50 inclusive option first is correct.

Learn more about the probability here:

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#SPJ4

Use the multiplier method to increase 88 pounds by 14% you must show your working

Answers

Answer:

100.32

Step-by-step explanation:

First, we have to find 14% of 88

14% of 88 is = 88 x 14/100

                  = 12.32

Now we have to increase the number 88 by 14%, which means we have to add 14% of 88 (12.32) to the given number (88)  

88 + (14% of 88)

= 88 + 12.32

=100.32 pounds

The angle of elevation to the top of a Building in New York is found to be 4 degrees from the ground at a
distance of 2 miles from the base of the building. Using this information, find the height of the building.

Answers

Building height is 225.07m

i need to find the volume of a cylinder and the radius is 10 cm and height is 8 cm

Answers

Answer:

2513.27

Step-by-step explanation:

V=πr^2h=π·102·8≈2513.27412

I need help with this math question, please.


Sandra decides to alter the design of the rectangular lunch box so that one dimension of the bottom of the box is 1.25 times the height of the box, as shown in the diagram below. She still wants the volume of the box to be 355 in.^3. Write an equation in terms of W

Answers

The volume of the rectangular lunch box is the amount of space in it

The volume in terms of W is LW^2 = 443.75

How to determine the volume expression?

The volume is given as:

V = 355

Let the width of the box be W, and the height be H; such that:

W = 1.25H

Make H the subject

H = W/1.25

The volume is calculated as:

V = LWH

So, we have:

355 = L * W * W/1.25

Multiply through by 1.25

443.75 = L * W * W

This gives

443.75 = LW^2

Rewrite as:

LW^2 = 443.75

The diagram is not given. So, the question cannot be solved further

Hence, the volume in terms of W is LW^2 = 443.75

Read more about volumes at:

https://brainly.com/question/1972490

Matia claims "When you square any number, the result is always greater than that number." Matia used the example 32 = 9 and 9 is greater than 3

Answers

Answer:

[tex] {3}^{2} = 9 \\ \\ 81 = 9[/tex]

Answers:

Choice A) 0

Choice B) 0.5

=======================================================

Explanation:

Matia claims that [tex]x^2 > x[/tex]

However, the claim isn't true when 0 ≤ x ≤ 1.

For example, x = 0 leads to [tex]x^2 = 0^2 = 0[/tex]

Meaning that [tex]x^2 > x[/tex] would update to [tex]0 > 0[/tex] which is false.

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

Similarly, if x = 0.5, then

[tex]x^2 > x\\\\0.5^2 > 0.5\\\\0.25 > 0.5 \ \text{which is also false}\\\\[/tex]

Because the last inequality is false, the first inequality must also be false for x = 0.5

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

Those last two previous sections showed that x = 0 and x = 0.5 are counter-examples to Matia's claim to thereby prove it false.

What is the solution to the equation below?
5x = 2x + 12
O A. x = 4
B. x= 12
C. x= 6
O D. No Solutions
SUBM

Answers

Answer:

5x=2x+12

5x-2x=12

3x=12

x=4

A is the coreect one

Find x y and z.


please give answer as fast as possible to get marked BRAINLIEST ​

Answers

Answer:

X = 64

Y = 18

Z = 98

Step-by-step explanation:

Angles on a straight line always add up to 180 Degrees

Vertical Opposite Angles are equal to each other

X = 64

Y = 18

Z = 180 - 64 - 18 = 98

help me on both questions as attached below.
Also it's workings on how to get that if possible

Answers

Answer:

a) 160km

b) it will take 3.2 hours or 192 minutes or 3 hours and 12 minutes

Step-by-step explanation:

a) d=speedxtime

so, 64x2. 5=160km

b) time=d/s

so, 160/50

it will take 3.2 hours or 192 minutes or 3 hours and 12 minutes

What is the surface area of this rectangular pyramid?
5 m
4 m
4 m
square meters
ILL GIVE BRAINLIEST

Answers

Answer:

A=61.23

Step-by-step explanation:

Find a solution to the linear equation –7x+y= –28.
a

Answers

Answer:

x=4 + y/7

y= -28 + 7x

Step-by-step explanation:

Knowing that ΔBIG ≅ ΔFNS, an angle pair that is NOT necessarily congruent is:

Knowing that ΔDAL ≅ ΔEKS, a side pair that is NOT necessarily congruent is:

Answers

solutions:

1) G ≅ F

2) DA ≅  ES

Explanation:

Q)1

ΔBIG ≅ ΔFNS

pairs that are congruent:

B ≅ FI ≅ NG ≅ S

From the list given,

→ G ≅ F is not necessarily congruent.

Q)2

ΔDAL ≅ ΔEKS

pairs that are congruent:

DA ≅  EKAL ≅  KSDL ≅  ES

From the list given,

DA ≅  ES  is not necessarily congruent.

Usually the congruence is done according to naming

So

∆BIG≅∆FNS

<B=F

<I=<N

<G=<S

Option A

#2

Check the naming

∆DAL≅∆EKS

So

DA=EK

And DA may not be equal to ES

So option D

explain how you know whether or not the point (0.75, 0.25) is on the unit circle.

Answers

Answer:

The point (0.75, 0.25) is not on the unit circle.

Step-by-step explanation:

The unit circle has radius 1, so:

[tex] {.75}^{2} + {.25}^{2} = .5625 + .0625 = .625 [/tex]

Write the equation for circle below

Answers

Answer:

Step-by-step explanation:

4. What is the proper way of naming the line at the right? A. ab B. ba C. AB D. AB

Answers

Answer:

C is the answers for the question

Step-by-step explanation:

please mark me as brainlest

A notebook company makes notebooks with covers in 2 different colors. A school district ordered 301 notebooks in each color. How many notebooks in total did the school district order?

Answers

Answer is 602 because we just take 301 times 2 because there is only two types of book in company and 301 book are ordered in each type so we just take 2 times 301

There are 221 students on a field trip.
. Five students ride in a van.
. The rest of the students fill 6 buses.
Enter an equation that can be solved to find the number of students, s, that are on each bus. Enter your response in
the first response box.
Enter the number of students that are on each bus. Enter your response in the second response box.

Answers

The equation that models the students is a linear equation

The equation that models the number of students in each bus is 6x = 216, and the number of students in each bus is 36

How to determine the equation?

The given parameters are:

Students = 221

Van = 5

The rest students = 6 buses

Start by calculating the number of students remaining:

Remaining students = 221 - 5

Remaining students = 216

Represent the number of students in each bus with x.

So, we have:

6 buses * x  = Remaining students

This gives

6x = 216

Divide both sides by 6

x = 36

Hence, the equation that models the number of students in each bus is 6x = 216, and the number of students in each bus is 36

Read more about linear equations at:

https://brainly.com/question/15602982

2 1/3 + 3 1/8 + 1 1/24

Answers

Answer:

the answer is 6 1/2

Step-by-step explanation:

I solved using calculator

Answer:

6 1/2

Step-by-step explanation:

five whole numbers are written in order
4 6 x y 10
the mean and the median of the five numbers are the same

Answers

Answer:

7

Step-by-step explanation:

4+6+7+8+10= 35/5= 7

Median and Mean= 7

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