Raghav, Rajit, Junsu, Mia, and Umema were finished with lunch and began playing with drink straws. Each one was making a line design using either 3 or 4 straws. Since they had just come from math class where they had been studying special angles, Raghav pulled his pencil out of his bookbag and labeled some of the angles and lines. He then challenged himself and the others to find the values of x and y in degrees.

Show how you would find the values of x and y for Raghav’s straw figure shown below using a system of linear equations. (You may use a decimal to the tenths place for your answers for the angle measures.)

Raghav, Rajit, Junsu, Mia, And Umema Were Finished With Lunch And Began Playing With Drink Straws. Each

Answers

Answer 1

Answer:

x = [tex]25.8^{o}[/tex] and y = [tex]51.4^{o}[/tex]

Step-by-step explanation:

Known that he sum of angles on a straight line is [tex]180^{o}[/tex]. From the diagram;

2y + x + y = [tex]180^{o}[/tex]

x + 3y = [tex]180^{o}[/tex] ................ 1

Also,

2x + x + 2y = [tex]180^{o}[/tex]

3x + 2y = [tex]180^{o}[/tex] .............. 2

Using the elimination method, multiply equation 1 by 3 and equation 2 by 1

3x + 9y = 540 ............ 3

3x + 2y = [tex]180^{o}[/tex] ............. 4

7y = 360

y = [tex]\frac{360}{7}[/tex]

y = [tex]51.4^{o}[/tex]

substitute the value of y in equation 1,

x + 3y = [tex]180^{o}[/tex]

x + 3(51.4) = [tex]180^{o}[/tex]

x + 154.2 = [tex]180^{o}[/tex]

x = [tex]180^{o}[/tex] - 154.2

x = [tex]25.8^{o}[/tex]

Thus, x = [tex]25.8^{o}[/tex] and y = [tex]51.4^{o}[/tex]


Related Questions

Mark each! Of the following equations as true or false. Explain or showing your reasoning!

Answers

Answer:

False

True

True

Step-by-step explanation:

Multiplying add exponents

Divide subtract exponents

Exponent multiply exponents

The statement and reason for each equation is written below:

False (Multiplication law and exponential law)True (Multiplication law and exponential law)True (division law and exponential law)

Meaning of Multiplication and division law

Multiplication law is a law of indices that governs the multiplication of variable. if they are of the same base they add up their powers.

Division law is also a law of indices that governs division of variables, and it states that for every division the  bases are equal we subtract their powers

In conclusion, The statement and reason for each equation is written above.

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0.138613961 as a percent rounded to the nearest tenth

Answers

Answer:

13.9%

Step-by-step explanation    :

Converting from a decimal to a percentage is done by multiplying the decimal value by 100 and adding %.

 0.138613961 ------ when multiplying by 100 you move two spots the decimal point:     13.8613961 %

The tenth digit is 8 the number after that is 6  

If the digit after tenth is greater than or equal to 5, add 1 to tenth. Else remove the digit.

6 is greater than 5 so we add 1 to 8 and becomes 9

If the digit  after the tenth was 4 instead 6, for example,then it would be 13.8%

estimate each product 49.2×10.3

Answers

Your answer is 506.76 for 49.2 times 10.3

The fourth-grade students are taking a field trip and need to rent minivans. Each minivan will hold 8 people. There are 135 people
going on the trip. How many people will not be able to go if they only rent 16 minivans?
A)6 people
B)7 people
C)8 people
D)9 people



HELP ASAP ILL GIVE BRAINLIEST

Answers

Answer:

B. 7 people

Step-by-step explanation:

If you multiply 8x16 you get: 128. Then you subtract 135 from 128 and get: 7.  Therefore, 7 people will not be able to go if they only rent 16 minivans.

On their first dive researchers Explorer part of the ocean that is 60 ft below sea level is that can be responded by the integer on their first dive researchers Explorer part of the ocean that is 60 ft below sea level is that can be responded by the integer 60 on their second dive research to explore a deeper depth

Answers

Complete question :

On their first dive, researchers explore a part of the ocean floor that is 60 feet below sea level. This depth can be represented by the integer -60. On their second dive, researchers explore a deeper depth. Write an inequality that represents the possible depth, d, of the researchers' second dive.

Answer:

d < - 60

Step-by-step explanation:

Depth explored during first dive = 60 feets below sea level = - 60 feets

The depth, d explored during second dive is deeper Than that explored during first dive

The inequality representing depth on second,

This means they the depth exceeds 60 feets below sea level. And hence. Deeper than - 60

Therefore, the depth will be values less Than - 60

Hence, d < - 60

Find the value of x in the picture below. (round to nearest tenth if needed) THANK YOU FOR HELPING ME:)

Answers

Answer:

x ≈ 9.6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle, that is

x² + 14² = 17²

x² + 196 = 289 ( subtract 196 from both sides )

x² = 93 ( take the square root of both sides )

x = [tex]\sqrt{93}[/tex] ≈ 9.6 (to the nearest tenth )

which is the other end point of a line segment with one end point at (-2, -5) and midpoint at (3,2)

Answers

Answer:

(8,9)

Step-by-step explanation:

<|--------------------|--------------------------|>

(-2,-5)               (3,2)

-2-3 = -5 = | -5 | = 5

-5-2=-7 = | -7 | = 7

3+5=8

2+7=9

(8,9)

At what number of days will the cost of attendance be the same for both preschools?

Answers

Answer:

Forgot the pic ?

Step-by-step explanation:

Someone help me with this its in the picture!!!

Answers

Answer:

JK < KI < IJ

Step-by-step explanation:

The length of the side of a rectangle corresponds with the size of the angle opposite it.

m<K = 180 - (50 + 44) (sum of triangle)

m<K = 86°

IJ is opposite m<K = 86°

JK is opposite to m<1 = 44°

KI is opposite to m<J = 50°

The bigger the measure of an angle, the larger the side opposite it.

Therefore, form least to greatest, the side lengths of the triangle cam be ordered as follows:

JK < KI < IJ

Help me with this plsss

Answers

1.

a. 8 x 7 x 1/2 = 56 x 1/2 = 28

b. 24 x 14 x 1/2 = 336 x 1/2 = 168

c. 5 x 12 x 1/2 = 60 x 1/2 = 30

d. 4 x 4.8 x 1/2 = 19.2 x 1/2 = 9.6

2.

two triangles: 2(4 x 8 x 1/2) = 4 x 8 = 32

rectangle: 15 x 8 = 120

total area: 32 + 120 = 152

Theoretically, if a month is chosen 300 times,

how many times would you expect a month

that starts with the letter J?

Answers

Answer:

75 times.

Step-by-step explanation:

Well there are 12 months and 3 of them start with the letter J, so theoretically, 25% of the months chosen will start with the letter J because [tex]\frac{3}{12}=\frac{1}{4}[/tex], which is 25%. 25% of 300 (or [tex]\frac{300}{4}[/tex], for those who like fractions) is 75, so theoretically, we can expect a month that starts with the letter J 75 times.

Hope this helps!

P.S: Please mark me as brainliest!

If you need 4 eggs to make 12 Yorkshire puddings. How many do you need to make 18
Yorkshire puddings?

Answers

........................
6

Answer:

54

Step-by-step explanation:

First of all,

Cross multiplication

4 = 12

18 = x

Let the value of the number of eggs be represented by x

4x = 12×18

4x = 216

4. 4

(Same as 216÷4)

x = 54

Find the surface area of the prism. Whoever solves this will guarantee get Brainliest Answer!!!

Answers

To find the total surface area of a prism, you need to calculate the area of two polygonal bases, i.e., the top face and bottom face. And then calculate the area of lateral faces connecting the bases. Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.

Hope this helps!

An 18-foot ladder leaning against a wall makes an angle of elevation of 70° with the ground. How far up the wall is the ladder, to the nearest foot?​

Answers

Answer:

17 ft

Step-by-step explanation:

An 18-foot ladder leaning against a wall makes an angle of elevation of 70° with the ground. How far up the wall is the ladder, to the nearest foot?​

We solve the above question using the Trigonometric function of Sine

sine theta = Opposite/Hypotenuse

theta = Angle of elevation = 70°

Hypotenuse =Length of the ladder = 18ft

Opposite = Height of the wall = x

Therefore

sin 70 = x/ 18 ft

Cross Multiply

x = sin 70 × 18 ft

x = 16.914467174 ft

Approximately = 17 ft

Pleaser help me I’m confused

Answers:

A:section A

B: section B

C: Section C

D: Section D

Answers

Answer:

SECTION C (i think)

Please mark as brainliest

Have a great day, be safe and healthy  

Thank u  

XD

Answer:

section c

it's square root is 4.123......

What is the value of s?

_____units

Answers

Answer:

17

Step-by-step explanation:

by Pythagoras

[tex]8 {}^{2} + 15 {}^{2} = {x}^{2} [/tex]

x=17

I think the answer’s 17?

Aliyah spent half of her weekly allowance playing arcade games. To earn more money her parents let her mow the lawn for $7. What is her weekly allowance (W) if she ended up with $16? The variable should always go in the first term

Answers

Answer:

who mows the lawn for 7 dollars :/

Step-by-step explanation:

ABM Services paid a $4.15 annual dividend on a day it closed at a price of $54 per share. What
was the yield?

Answers

Answer:

the yield is 7.68%

Step-by-step explanation:

The calculation of the yield is given  below:

we know that

Yield is

= Annual dividend ÷ Price per share

= $4.15 ÷ $54

= 7.68%

Here we divide the annual dividend by the price per share in order to determine the yield  

hence, the yield is 7.68%  

And, the same would be considered

Find the coordinates of the endpoint of the image?

Answers

Given:

The end points of the line segment AB are A(-2,-3) and B(4,-1).

The rule of translation is:

[tex](x,y)\to (x+4,y-3)[/tex]

To find:

The coordinates of the end points of the line segment A'B'.

Solution:

It is given that the end points of the line segment AB are A(-2,-3) and B(4,-1).

We have,

[tex](x,y)\to (x+4,y-3)[/tex]

By using the above translation rule, we get

[tex]A(-2,-3)\to A'(-2+4,-3-3)[/tex]

[tex]A(-2,-3)\to A'(2,-6)[/tex]

And

[tex]B(4,-1)\to B'(4+4,-1-3)[/tex]

[tex]B(4,-1)\to B'(8,-4)[/tex]

Hence, the endpoint of the line segment A'B' are A'(2,-6) and B'(8,-4).

WILL GIVE BRAINLIEST!!! If w = 6 units, x = 3 units, and y = 5 units, what is the surface area of the figure?

Answers

Don’t trust that link


178 units^2

The surface area of the figure is 204 sq.unit.

What is Surface Area ?

The surface area of a three dimensional figure is the sum of area of all its faces.

Here a three dimensional figure is given and surface area has to be calculated.

The base is a cuboid

Surface Area of a cuboid = SA= 2lw+2lh+2hw

SA = 2 * 6 * 6 +2 * 6 * 3 + 2 * 6 * 3

SA = 144 sq.units

The Surface Area of the 4 triangle surface = 4 * (1/2) * base * height

SA = 2 * 6 * 5 = 60 sq.units

The total surface area = 144 +60 = 204 sq.units

Therefore the surface area of the figure is 204 sq.unit.

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I need help plzzz

-6p + 19 > 7

Answers

Answer:

p < 2

Step-by-step explanation:

hope this is right and have a good day

A construction company produces two products (doors and windows) that require two plants (A and B). Management wants to determine how many units of each product should be produced to maximize profit. For each unit of Product 1 (i.E. Door), 2 workers are required in Plant A and 4 workers are required in Plant B. For each unit of Product 2 (i.E. Window), 3 workers are required in Plant A and 4 workers are required in plant B. The company has 40 workers in Plant A and 60 workers in Plant B. Each unit of Product 1 gives a profit of $100. Each unit of Product 2, up to 10 units, gives a profit of $80. Any excess over 10 units of Product 2 brings no profit; so, such excess has to be ruled out.

Answers

Answer:

Z max  = 1500

x₁  = 15

x₂ = 0

Step-by-step explanation:

From problem statement:

                                                      Plant A              Plant B     Profit $/each

Product 1 (Doors )          x₁                  2                          4            100

Product  2 (windows )   x₂                  3                           4              80

Product  2 (windows )   x₂   above 10 is scrap

Objective function to maximize

z = 100*x₁   +  80*x₂

Subject to:

Plant A capacity

2*x₁ + 3*x₂   ≤  40

Plant B capacity

4*x₁  + 4*x₂  ≤ 60

Windows condition:

0*x₁  + x₂  ≤  10

Model:

Max      z  =  100*x₁   +  80*x₂

Subject to:

2*x₁ + 3*x₂   ≤  40

4*x₁  + 4*x₂  ≤ 60

              x₂ ≤ 10

x₁ , x₂ ≥  0    and integers

Afther 6 iterations using Simplex Solver AtomZmath

Z max  = 1500

x₁  = 15

x₂ = 0

Please help I really need it, I don’t know what to do

Answers

Answer:

i think it is b

Step-by-step explanation:

answer is B. why? because when distributing to the (x-1), it becomes -x + 2 when multiplied by the -2 on the outside

Which is greater 52,800 cm or 1 km?

Answers

Answer:

1 km

Step-by-step explanation:

According to the unit of conversion in every 1 kilometer, there is a total of 100 000 centimeters. Now, the given value of centimeters is equals to 52 800 => 1 km = 100 000 cm => 52 800 cm is less than the value of 100 000 cm which is equivalent to 1 km. Thus, the given is not correct.

i think 1 km is greater

Leo has a rectangular garden with a perimeter of 40 feet. The width of the garden is 8 feet. What is the length of the garden?​

Answers

Answer:

5 feet

Step-by-step explanation:

3 questions
4 is about what percent of 9?
About what percent of 7560 is 3000?
1.3 is about what percent of 27?

Please help me my teacher does not explain how to do this well..

Answers

1) 4 is 44.44% of 9

2) 3000 is 39.68% of 7560

3) 1.3 is 4.81% of 7

Answers

1) 44.44%

2) 39.69%

3) 4.81%

A textbook store sold a combined total of 471 math and sociology textbooks in a week. The number of sociology textbooks sold was 63 less than the number of math textbooks sold. How many textbooks of each type were sold?

Answers

Answer:

The math books are 267The sociology books are 204

Step-by-step explanation:

The steps are in the photo above

I hope that is useful for you :)

PLSSS HELP IMMEDIATELY!!!! i’ll mark brainiest if u don’t leave a link!

Answers

Answer:

A

Step-by-step explanation:

Answer: I would say it's B

Step-by-step explanation: The reason is because whiskers are primary to have, Sharp claws is a tool for animals to get food, and large beaks are used to pick at the food so they don't eat the wrong things.

Marcus changed jobs after college. His old salary was $48000 per year. Now his new salary is 37% more per year. What is his new salary?

Answers

Answer:

65,760

Step-by-step explanation:

move decimal over two places to make a percent a decimal so .37

then multiply that times the 48000 to get 17,760 and then add that to the original 48000 to get 65,760

Gary is 4 years less than three times his brothers age, \displaystyle bb. The sum of Gary and his brothers' age is 52. Write an equation to represent this relaitonship.
(PLS HELP ME WITH THAT QUESTION! IF YOU HELP ME I GIVE YOU BRAINLIEST I SWEAR)

Answers

Let x be the age of Gary’s brother.
x + (3x - 4) = 52
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