Find the value of x in the figure.
Answers:
A:7.615
B:7.154
C:9.284
D:2.67

Find The Value Of X In The Figure.Answers:A:7.615B:7.154C:9.284D:2.67

Answers

Answer 1

Answer:

D: 2.67

Step-by-step explanation:

Assuming that both vertical lines are parallel, there are rules regarding angle sizes.

The rule that is specific to this question is alternate angles, this is when two angles are of the same size when they are on opposite sides of the line. This means that both equations equal each other:

10x + 13 = -3 + 16x

Add 3 to both sides to remove the negative 3 and isolate the 16x:

10x + 13 + 3 = 16x

10x + 16 = 16x

Subtract 10x from both sides of the equation to simplify:

10x + 16 - 10x = 16x - 10x

16 = 6x

Divide both sides by 6 to simplify:

6x = 16

[tex]x = \frac{16}{6}\\x = \frac{8}{3}[/tex]

Or in decimal form,

[tex]2.\overline{6} \\= 2.67[/tex]

Hope this helps!

Learn more about alternate angles theorem here:

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Related Questions

A fish population that started at 250 has begun to decrease by 12 percent each week. Which equation below could be used to model this situation?

P=250(0.12)x

B
P=250(0.88)x

C
P=12(250)x

D
P=−250(0.12)x

Answers

250 - 250 * 12% = 250 * (1 - 12%) = 250 * 0,88

with x = fish number

=> P = 250 * 0,88 * x

Answer: A. P=250(0.12)x

Step-by-step explanation:

12%= 0.12

250 x 0.12 = the amount decreased by each week

write 0.216 as a rational number in lowest terms

Answers

Answer:

[tex]=\frac{27}{125}[/tex]

Step-by-step explanation:

[tex]0.216[/tex]

[tex]\mathrm{Multiply\:and\:divide\:by\:10\:for\:every\:number\:after\:the\:decimal\:point.}[/tex]

[tex]\mathrm{There\:are\:}3\mathrm{\:digits\:to\:the\:right\:of\:the\:decimal\:point,\:therefore\:multiply\:and\:divide\:by\:}1000[/tex]

[tex]=\frac{0.216\cdot \:1000}{1000}[/tex]

[tex]=\frac{216}{1000}[/tex]

[tex]216,\:1000[/tex]

[tex]\mathrm{The\:GCD\:of\:}a,\:b\mathrm{\:is\:the\:largest\:positive\:number\:that\:divides\:both\:}a\mathrm{\:and\:}b\mathrm{\:without\:a\:remainder}[/tex]

[tex]2,\:3\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}[/tex]

[tex]=2\cdot \:2\cdot \:2\cdot \:3\cdot \:3\cdot \:3[/tex]

[tex]2,\:5\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}[/tex]

[tex]=2\cdot \:2\cdot \:2\cdot \:5\cdot \:5\cdot \:5[/tex]

[tex]\mathrm{The\:prime\:factors\:common\:to\:}216,\:1000\mathrm{\:are\:}[/tex]

[tex]=2\cdot \:2\cdot \:2[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2\cdot \:2=8[/tex]

[tex]=8[/tex]

[tex]=\frac{8\cdot \:27}{8\cdot \:125}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:8[/tex]

[tex]=\frac{27}{125}[/tex]

Hence, the correct answer is [tex]=\frac{27}{125}[/tex]

use the distributive property to simply 3[ n-5) =

Answers

Answer:

3n - 15

Step-by-step explanation:

3 multiplied by n which is 3n

Then 3 multiplied by 5 which is 15

So your answer is 3n - 15

Hope I helped :)

Please consider Brainliest

Area of rectangle L
…………………..

Answers

The area is 3.2

The scale factor is 2/5

We know that the length is 4 so 4x2/5=8/5

8/5x2=16/5. 16/5=3.2

Are the following fractions
equivalent? Explain what
strategy you used to find
your answer 4/9 and 8/18

Answers

Answer:

they are

Step-by-step explanation:

the simplest form 8/18 is 4/9

The fractions are equivalent, you can multiply 4/9 by 2 to get 8/18

What is 17/100 + 6/10 = ?
thx if you helped

Answers

Answer:

0.77

Step-by-step explanation:

correct me if im wrong this is just what i got

Solve for x. Round to the nearest tenth, if necessary.

Answers

ANSWER

14.3

EXPLANATION

angle = 21⁰

opposite side = 5.5

adjacent side = x

Knowing this, we must use tangent (opposite / adjacent)

tan (21⁰) = 5.5 / x

x = 5.5 / tan (21⁰) (use calculator)

x= 14.3

Divide x4-3x3-5X2-7x-9 by x + 1.

Answers

The division of x4-3x3-5X2-7x-9 by x + 1. yields; x²-4x²-x-6 with a remainder of -3.

Division of polynomials

From the task content;

It follows that the division can be carried out using the long division method.

The division of the polynomial x⁴-3x³-5x²-7x-9 by (x+1) therefore yields; x²-4x²-x-6 with a remainder of -3.

Read more on polynomial division;

https://brainly.com/question/24662212

Jenny's school play started at 9:30 AM. It lasted 2 hours and 10 minutes. What time did the play end?

Answers

Answer:

11:40

Step-by-step explanation:

9:30 and 2 hours and 10min is 11:40

11:40 because 9+2= 11 and 10+30= 40 so the total would be 11:40 AM

If UV=p+13 and RT=p–1, what is the value of p?

Answers

Answer: 15

Step-by-step explanation:

PLEASE HELP ME!!!!!
If m

Answers

Answer:

could you add more details? you only put ¨ if M¨

Step-by-step explanation:

Answer:

[tex]if \: m \: then \: m \: can \: be \: any \: variable.[/tex]

A cone has a height of 13 inches and a radius of 6 inches. What is its volume?

Answers

Answer:

7 because length times width = volume

Mix 3 liters of water with 4 lemons to make lemonade. How many liters of water are mixed with 8 lemons?

Answers

Answer:

6 liters

Step-by-step explanation:

The ratio of lemons to water is 4:3. When the amount of lemons is 8, that menas the ratio is doubled, so then it is 8:6. The answer is 6 litres.

3 (x + 4) + 2 (2x - 3)

Answers

Answer: 7x + 6

Step-by-step explanation:

Use distribution property

(3x + 12)+(4x - 6)

Combine like terms

7x + 6

Answer:

7x + 6

Step-by-step explanation:

Apply the distributed property, so it now looks like this:                          (3x + 12) + (4x - 6)Combine like terms: 7x + 6

I hope this helps!

Maria did the work to see if 8 is a solution to the equation s minus 3 = 11.

s minus 3 = 11. 8 minus 3 = 11. 5 = 11.

Does her work show that 8 is a solution to the equation?
Yes, because the last line of the work is true.
Yes, because 11 minus 8 equals 3.
No, because 8 is even and the other numbers in the equation are odd.
No, because the last line of the work is not true. 5 and 11 are not equal.

Answers

Answer:

No, because the last line of the work is not true. 5 and 11 are not equal.

Step-by-step explanation:

Answer:

D

Step-by-step explanation: it kinda shows the answer.

how do i solve this pls help​

Answers

Answer:

tv-uv=tu

(7*3)-4=17

Step-by-step explanation:

45-(6x+10)= 7x-4

45-6x-10= 7x-4

35-6x=7x-4

+6x=+6x

35=13x-4

+4=+4

39=13x

x=3

A triangle has two sides of length 11 and 12. What is the smallest possible whole-number length for the third side? NO LINKS

Answers

Answer: The answer would be 16.

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2} \\11^2+12^2=c^2\\121+144=c^{2} \\\sqrt{265} =\sqrt{c^2} \\c=16.27\\c=16[/tex]

16 is the smallest possible whole number for the length of the third side. By using the Pythagorean Theorem, we are able to find the third side.

Find the sum.

eleven and eight hundredths added to two and thirty-five hundredths

The sum is ?

Answers

Answer:

16.43

Step-by-step explanation:

Answer:

Step-by-step explanation:

here is the answer i hope this helps

Miranda wants to give her 14-year-old daughter $20,000 when she turns 18. How much does she need to put in the bank now if the interest rate is 10 percent per year? A. $12,418. 43 B. $13,660. 27 C. $15,026. 30.

Answers

Answer:

B $13,660.27

Step-by-step explanation:

true or false: A triangle can be made by segments that are 15.9 cm, 10 cm and 25.9 cm.

Answers

Answer:

false

Step-by-step explanation:25.9cm is too big to connect to 15.9cm and 10 cm

find the length of the sides and area of the square of 44cm​

Answers

Answer:

Step-by-step explanation:

The length of the sides is 44 cm. Did you mean the diagonal? it is 44*sqrt(2) = 62.23

The area = side * side = 44 * 44 = 1936

Answer:

This is the correct answer with step by step explanation

Please help me (explain the why the answer is correct please)

Answers

Answer:

b

Step-by-step explanation:

b is undefined bc remember that slope is rise/run

if the "run" is 0, then that makes it rise/0  and dividing by 0 is undefined

a has a positive slope bc it goes up from left to right

c has a negative slope bc it goes down left to right

d has a slope of zero -- and it makes sense bc the rise=0 and dividing zero by a nonzero number will equal zero

Tell whether (2, 5) is a solution of the equation y = 2x + 1. Show your work. I’LL PUT YOU AS BRAINLIEST

Answers

Answer:

The solution of (2,5) indeed equals the solution of the equation y=2x+1

Step-by-step explanation:

to solve just plug in the values.

y=2(2)+1 which gives us the y value of y=5

to solve for x, plug in y. 5=2x+1.

subtract 1 from both sides, and you get 4=2x

then divide 2 on both sides to get x, which is 2. therefore this is true.

please rate and mark as brainlest.

What’s the code for this puzzle, each answer equals a letter

Answers

Answer:

CIAE

Step-by-step explanation:

PQRS is a cyclic quadrilateral in which RS is the shortest side. If PS and QR are produced to meet at T such that ST=RT, then prove that PRS=QRS.​

Answers

Given that ST = RT and PS and QR are produced to meet at T, the

congruency of the angles and the included side proves;

ΔPRS ≅ ΔQRS by Angle-Side-Angle rule of congruency

How can the triangles be shown to be congruent?

The given parameters are;

The given cyclic quadrilateral = PQRS

The produced side that meet at point T = PS and QR

ST = RT

Required:

To prove that PRS = QRS

Solution:

A two column proof is presented as follows;

Statement        [tex]{}[/tex]                               Reason

1. ST = RT        [tex]{}[/tex]                                 1. Given

2. ΔSRT is an isosceles triangle  [tex]{}[/tex]  2. Definition of isosceles triangle

3. ∠TSR ≅ ∠TRS     [tex]{}[/tex]                        3. Base angles of an isosceles triangle

4. ∠TSR = ∠TRS      [tex]{}[/tex]                        4. Definition of congruency

5. ∠TSR and ∠PSR, ∠TRS and ∠QRS are linear pair angles 5. Definition of linear pair angles

6. ∠TSR + ∠PSR = 180° and ∠TRS +∠QRS = 180°   6. Property of linear pair angles

7. ∠TSR + ∠PSR = ∠TRS +∠QRS,     7. Substitution property of equality

8. ∠PSR = ∠QRS      [tex]{}[/tex]                         8. Subtraction property of equality

9. ∠RQS in ΔRQS = ∠SPR in ΔSPR [tex]{}[/tex]                              9. Angle subtending the same arc formed at the circumference of a circle

10. ΔPRS ≅ ΔQRS           [tex]{}[/tex]                        10. By ASA rule of congruency

The Angle-Side-Angle rule of congruency states that if two angles and

an included side of one triangle are congruent to two angles and the

included side of another triangle, then the two triangles are congruent.

Learn more about congruency here:

https://brainly.com/question/2938476

please answer quickly

Answers

3rd option I’m pretty sure

Steve says,
“There are more prime numbers between 20 and 30 than there are between 10 and 20" Is Steve right? ​

Answers

Answer:

prime numbers between 20-30 are 23,29

prime numbers between 10-20 are 11,13,17,19

No,Steve is not right

Reason-there are two prime numbers between 20 to 30.Whereas there are 4 prime numbers between 10 to 20.

HELP ASAP ILL GIVE BRAINIEST!


What is the median of the data set represented by the dot plot?

Answers

Answer:

the median is 36

Step-by-step explanation:

31, 34 , 34 , 35 37, 38 ,38 39

1.     2.    3.    4.  5.   6.   7.  8

(i put the numbers below because i like umm doing this weird technique where i count it)

since theres no median there then you have to add 35 and 37 then divide by 2

Can someone help with this question please

Answers

Answer:

[x - 5]² + [y + 7]² =

Step-by-step explanation:

It should be noted:

Equation of circle: (x - h)² + (y - k)² = r²

"h" represents the x coordinate of the center point, "k" represents the y coordinate of the center point, and "r" represents the radius of the circle.

⇒ h = 5; k = -7; r = 6

When the values are substituted:

[x - 5]² + [y - (-7)]² = 6²

⇒ [x - 5]² + [y + 7]² = 6² = 36

Amy received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.17 per pound. After buying the coffee, she had $55.49 left on her card. How many pounds of coffee did she buy?

Answers

Answer:

I think you need more info

Answer:

Pretty sure the answer is 3 pounds you can pretty much repeatedly take away 8.17 from 80 till you get 55.49

80 - 8.17 = 71.83

71.83 - 8.17 = 63.66

63.66 - 8.17 = 55.49

so 3 Pounds since you took 8.17 three times to get 55.49

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