What is the measure of angle x? Show work.

What Is The Measure Of Angle X? Show Work.

Answers

Answer 1

Answer:

x = 67° (nearest whole degree)

Step-by-step explanation:

Sine Rule

[tex]\sf \dfrac{sin(A)}{a}= \dfrac{sin(B)}{b}= \dfrac{sin(C)}{c}[/tex]

where A, B and C are the angles, and a, b and c are the sides opposite the angles

Given information

From inspection of the triangle:

A = 38°a = 12B = x°b = 18

Finding x:

Substitute given values into the formula and solve for x:

[tex]\sf \implies \dfrac{sin(38)}{12}= \dfrac{sin(x)}{18}[/tex]

[tex]\sf \implies 18\cdot\dfrac{sin(38)}{12}= sin(x)[/tex]

[tex]\sf \implies sin(x)=\dfrac32sin(38)[/tex]

[tex]\sf \implies x=sin^{-1}\left(\dfrac32sin(38)\right)[/tex]

[tex]\sf \implies x=67.44208077...[/tex]

Final Solution

x = 67° (nearest whole degree)

Answer 2

Answer:

∠x = 67°

Step-by-step explanation:

From the Law of Sines,

we know that :

sin(A) / a = sin(B) / a

Here we have :

a = 12b = 18∠A = 38°∠B = x°

On substituting,

sin38° / 12 = sinx° / 18sinx° = 3/2 x sin38°x = 3/2sin38° x sin⁻¹∠x = 67°

Related Questions

Each of the two numbers were increased by 10. How did the average of the two numbers change?​

Answers

Answer:

Average increased by 10

Step-by-step explanation:

Lets take 2 numbers - 10 and 12. The average of these two numbers is 11. By adding 10 to both of these numbers you get 20 and 22. The average of these numbers is 21. The average of the 2 numbers increased by 10

The roof of Sally’s house is a triangular prism. The angle at the top of this roof is a right angle and the measure of one of the interior angles is 45°. What is the measure of the unknown angle?

A. 45°
B. 55°
C. 35°
D. 25°

Answers

Answer: A

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees, so the unknown angle is 180-90-45=45 degrees.

Answer:

a

Step-by-step explanation:

What is a formula for the nth term of the given sequence?
16,8, 4...

Answers

Answer:

Answer:divide by 2Step-by-step explanation:16 divide by 2 =8 divide

Step-by-step explanation:

Videos Incorporated charges a membership fee of $4.99 plus $0.99 for each movie you watch. Videos Plus does not charge a membership fee but charges $2.99 per movie. Videos Plus is a better deal than Videos Incorporated. Which inequality represents this situation?

What is the inequality symbol for the situation? Answer Chocies: >, <, =.

Videos Incorporated Expression: Answer choices: 4.99x + 0.99, 4.99 + 0.99x, 4.99 - 0.99x

Videos Plus Expression: Answer Choices: 2.99x, 2.99x + 1, 2.99x - 1.

Which inequality represents this situation?

Answers

Videos Incorporated Expression:

-> Starting membership fee of $4.99, and then adding onto the overall cost is $0.99 for every movie watched.

4.99 + 0.99x

Videos Plus Expression:

-> There is no membership fee, but adding to the cost is $2.99 per movie.

2.99x

Which inequality represents this situation?

-> You do not have answer options, so this is a guess.

-> It states that "Videos Plus is a better deal than Videos Incorporated" which means Videos Incorporated costs more than Videos Plus

2.99x < 4.99 + 0.99x

Does anyone know this?

Answers

Answer:

9

Step-by-step explanation:

y= mx+b

m is slope

b is y-int

CAN SOMEONE PLEASE HELP ITS DUE TODAY

Answers

Answer:

n = 6

Step-by-step explanation:

[tex] \frac{ {5}^{n} \times {5}^{3} }{ {5}^{7} } = {5}^{2} \\ \\ \implies \: \frac{ {5}^{n + 3} }{ {5}^{7} } = {5}^{2} \\ \\ \implies \: {5}^{n + 3 - 7} = {5}^{2} \\ \\ \implies \: {5}^{n - 4} = {5}^{2} \\ \\ \implies \:n - 4 = 2 \\ \\ \implies \:n = 4 + 2 \\ \\ \implies \:n = 6[/tex]

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

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: \frac{5 {}^{n} \times {5}^{3} }{5 {}^{7} } = {5}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \frac{5 {}^{n + 3} {}^{} }{5 {}^{7} } = {5}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:5 {}^{n + 3 - 7} = {5}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:5 {}^{n - 4} = {5}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:{}{n - 4} = {2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:n = 2 + 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:n = 6[/tex]

Hence, value of n is 6

what is the measurement for x? anwer fastpls

Answers

Answer:

137°

Step-by-step explanation:

90+47= 137°

the sum of two interior angles is equally to the further exterior angle.

(03.01 MC)
Which equation justifies why 103 = 3/10
1
-1046-10
O
= 10
= 10
dho
°
(103)
(103)-1olia)
0(101) 105)=0
(103)*=106-)-10
=
= 10
=
Previous Question

Answers

Answer:

The choice B

Step-by-step explanation:

[tex]( {10}^{ \frac{1}{3} } )^{3} = {10}^{ \frac{1}{3} \times 3} = {10}^{ \frac{3}{3} } = {10}^{1} = 10[/tex]

Find the surface area of the figure. Round to the nearest tenth if possible.​

Answers

Area of square base:
13 x 13 = 169
Area of triangular sides:
B x H/2
13 x 16/2 = 104
104 x 4 = because there are 4 triangular sides of the figure = 416
416 + 169 = 585in^2
590in^2

List the first five natural numbers.

Answers

[tex]1, 2, 3, 4, 5 [/tex]

Answer:

The first five natural numbers are 1, 2, 3, 4, and 5.

Step-by-step explanation:

Natural numbers, which include all positive integers from 1 to infinity, are a component of the number system. Natural numbers, which do not include zero or negative numbers, are also known as counting numbers. They are only positive integers, not zero, fractions, decimals, or negative numbers, and they are a component of real numbers. Numbers may be found everywhere around us, used for counting items, representing or transferring money, calculating temperature, telling time, and so on. "Natural numbers" refer to the numbers that are used to count items. When counting items, we may say 5 glasses, 6 books, 1 bottle, and so on. A collection of all whole integers except 0 is referred to as whole numbers. These figures play an important role in our daily actions and communication.  Natural numbers are those that can be counted and are a portion of real numbers. Only positive integers, such as 1, 2, 3, 4, 5, 6, etc., are included in the set of natural numbers. Non-negative integers are also known as natural numbers (all positive integers). 23, 56, 78, 999, 100202, and so forth are only a few instances. A collection of elements is referred to as a set (numbers in this context). In mathematics, the set of natural numbers is expressed as 1,2,3,... 1 is the lowest natural number. We know that the smallest element in N is 1 and that we can talk about the next element in terms of 1 and N for any element in N. (which is 1 more than that element). Two is one greater than one, three is one greater than two, and so on. The natural numbers from 1 to 100 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99 and 100.

3x-6y=-12
6x+6y=30
What is the value of x and y

Answers

Answer:

(2,3) or x=2 and y=3

Step-by-step explanation:

find x...

3x-6y= -12

3x = 6y-12

x = 2y-4

plug x into the other equation

6(2y-4) + 6y = 30

12y-24 +6y = 30

18y = 54

y = 3

Plug y into an equation to find x

3x-6(3) = -12

3x-18= -12

3x=6

x=2

[Answer] y=3 and x=2 or (2,3)

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

The rectangle is 20 by 16 and the scale factor is 0. 25. What are the dimensions of the reduced rectangle?.

Answers

The dimensions of the reduced rectangle are 5(length) and 4(width).

The original length of the rectangle= 20

The original width of the rectangle=16

What is a scale factor?

It is the factor by which the size or dimension of an object is dilated.

Reduced length/Original length = 0.25

Reduced length = 0.25 * original length

Reduced length = 0.25 * 20

Reduced length = 5

Reduced width/Original width = 0.25

Reduced width = 0.25 * original width

Reduced width = 0.25 * 16

Reduced width = 4

Therefore, the dimensions of the reduced rectangle are 5(length) and 4(width).

To get more about dilation visit:

https://brainly.com/question/10253650

does anybody know what this mean? on the red circle?​

Answers

Answer:

It may be a division sign, if not I have no clue.

Step-by-step explanation:

I guess it is therefore. Not so sure.....

What is the value of x?

Answers

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:

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

Help me pleaseeeeeee

Answers

Answer:

926% and I'm pretty sure the other one is 0.7

Step-by-step explanation: For a you have to remove the decimal. for b you have to remove the %

ABCD is an irregular quadrilateral. The sum of all the interior angles is 360 degrees. What is the measure of angle D?

A. 60°
B. 120°
C. 180°
D. Need more information
please hurry! first CORRECT answer gets brainliest! :)

Answers

Answer:

D. Need more information

Step-by-step explanation:

The given information is not sufficient to determine each angle measure since the quadrilateral is irregular.

It would be good to see the picture at least.

Possible options are A or B but we can't confirm without additional detals, option C can't be a correct choice as 180° represents a straight line.

Please help me on this
(Look at the Photo)

Answers

The answer is: -4/a^2 b^2

The blue dot is at what value on the number line?

Answers

Answer:

17

Step-by-step explanation:

A cylinder-shaped container has a radius of 20 centimeters and a height of 100 centimeters.

What is the approximate volume of the cylinder?

Enter your answer in the box. Use 3.14 to approximate pi.

Answers

Answer: The volume of the cylinder is 125, 600 cm^3

Step-by-step explanation:

Volume = 3.14 x Radius^2 x Height

Volume = 3.14 x 20^2 x 100

Volume = 3.14 x 400 x 100

Volume = 125,600 cm^3

Geometry shapes I need help asap

Answers

If you are trying to name them the first and 2nd one are cones, the third is a triangular pyramid and I believe the last one is called a square pyramid

Make Sense and Persevere Ben walked from
the restaurant to the bus stop. Then, he took
the bus to the stadium. If he took the shortest
route, how many blocks did Ben travel? Note
that Ben can only travel along the grid lines.

Answers

Step-by-step explanation:

for the trip restaurant to the bus stop he had to go 2 blocks down and 3 blocks to the left - in total 5 blocks.

for the trip from the bus stop to the stadium he had to go 3 blocks to the left and then 8 blocks up. in total 11 blocks.

so, the whole trip took 5 + 11 = 16 blocks.

How to find the area of a half of a square?

Answers

Answer:

if u make the square half by its midpoint then we can find its area by using the area of rectangle.

if u make the square half from the diagonal we can find its area by using area of triangle.

Specific gravity will tell you a fraction of how much
object will be below the water while its floating. For
instance, ice has density of 0.92 g/ml so its specific gravity
0.92, what does 0.92 indicate?

Answers

The value 0.92 indicates the relative density of the ice.

Data;

Density = 0.92g/mlSpecific gravity = 0.92

Specific Gravity

Specific gravity of a substance is defined as the relative density of substance. This can be further said to be the ratio between the density of a substance to the density of the reference substance.

mathematically;

[tex]relative density = \frac{density of substance}{density of reference}[/tex]

The value 0.92 indicates the relative density of the ice.

Learn more on specific gravity here;

https://brainly.com/question/14932758

What is the area of this polygon?

Answers

Answer:

The formula to calculate the area of a regular polygon is, Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula, Apothem = [(length of one side)/{2 ×(tan(180/number of sides))}].

Step-by-step explanation:

I hope I can help you:)

Need help on this question ASAP please please !!

Answers

Yes the answer would be at the b and 34

Describe how to use the formula C = StartFraction 5 Over 9 EndFraction (F minus 32) to find the temperature in degrees Celsius if the temperature is 86°F. What is the temperature in degrees Celsius?

WRITEN RESPONE

Answers

Answer:

30°C

Step-by-step explanation:

The Conversion Formula :-

F - 32 / 9 = C / 5

F is given to be 86.

Substitution

86 - 32 / 9 = C / 554 / 9 = C / 5C = 6 x 5C = 30°C

Answer:

Sample Response: To find the celsius temperature, substitute 86 for F in the formula. Then, use the order of operations to simplify. Substract 32 from 86. Then multiply 5 9 by 54 to get 30°C.

Step-by-step explanation:

help pls i cant figure this out

Answers

Answer:

answer is 1 metre

Step-by-step explanation:

We can assume the width be 'x'

Now we would get the equation

(2x+10)(2x+14)=192

on solving we get x=1

Please help graph this inequality

Answers

Answer:

View attached graph

Step-by-step explanation:

Hope it helps!

Is this a function pls someone tell me

Answers

Answer:

No, it is not a function.

Step-by-step explanation:

In a function, each element in the domain must correspond to exactly one element in the range. That is not the case here.

If s = 1 over 4 unit and A = 16s2, what is the value of A, in square units? ____ square unit(s). (Input whole number only.)

Answers

Answer:

A = 1 square unit

Step-by-step explanation:

Given:

[tex]\sf s=\dfrac14[/tex][tex]\sf A=16s^2[/tex]

To find A, substitute the value of s into the equation for A and solve:

[tex]\sf \implies A=16 \cdot \left(\dfrac14\right)^2[/tex]

[tex]\sf \implies A=16 \cdot \left(\dfrac{1^2}{4^2}\right)[/tex]

[tex]\sf \implies A=16 \cdot \left(\dfrac{1}{16}\right)[/tex]

[tex]\sf \implies A=\dfrac{16 \cdot 1}{16}[/tex]

[tex]\sf \implies A=\dfrac{16}{16}[/tex]

[tex]\sf \implies A=1[/tex]

Therefore, A = 1 square unit

[tex]\\ \rm\rightarrowtail A=16s^2[/tex]

[tex]\\ \rm\rightarrowtail A=16(1/4)^2[/tex]

[tex]\\ \rm\rightarrowtail A=16(0.25)^2[/tex]

[tex]\\ \rm\rightarrowtail A=16(0.0625)[/tex]

[tex]\\ \rm\rightarrowtail A=1units^2[/tex]

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