.If m∠ ROT = 155, what are m ∠ ROS and m∠TOS?

Can someone explain how to do it also?

.If M ROT = 155, What Are M ROS And MTOS?Can Someone Explain How To Do It Also?

Answers

Answer 1

Answer:

ROS=72° TOS=83°

Step-by-step explanation:

(4x-20)+(3x+14)=155

7x-6=155

7x=161

x=23

4(23)-20=72

3(23)+14=83

Answer 2

Answer:

ROS is 72 degrees.

TOS is 83 degrees.

Step-by-step explanation:

So we know that the measure of Angle ROT is 155.

Angle ROT is the combined value of Angle ROS and Angle TOS. In other words:

[tex]ROT=ROS+TOS[/tex]

Substitute 155 for ROT, (4x-20) for ROS, and (3x+14) for TOS. Thus:

[tex]155=(4x-20)+(3x+14)[/tex]

Combine like terms:

[tex]155=(4x+3x)+(-20+14)[/tex]

Add:

[tex]155=7x-6[/tex]

Add 6 to both sides:

[tex]161=7x[/tex]

Divide both sides by 7:

[tex]x=23[/tex]

So, the value of x is 23.

Now, plug that into each of the Angle equations to solve for each angle:

[tex]ROS=4x-20\\ROS=4(23)-20[/tex]

Multiply:

[tex]ROS=92-20[/tex]

Subtract:

[tex]ROS=72[/tex]

Same thing for TOS:

[tex]TOS=3x+14\\TOS=3(23)+14[/tex]

Multiply:

[tex]TOS=69+14[/tex]

Add:

[tex]TOS=83[/tex]

And we're done!


Related Questions

A group of 4 children and 8 adults are going to the zoo. Each child tickets cost $10, and each adult tickets cost $15. How much will the group spend on tickets to the zoo?

Answers

Answer:

160

Step-by-step explanation:

4 times 10 is 40

8 times 15 is 120

add 40 plus 120 and get 160

Step-by-step explanation:

4×10+8×15

=40+120

=$160

Find the distance between the endpoints (7,8) (4,2) A.10.8 B.2.2 C.6.7 D.14.9

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{6.7}}}}}[/tex]

Option C is the correct option.

Step-by-step explanation:

Let the points be A and B

Let A ( 7 , 8 ) be ( x₁ , y₁ ) and B ( 4 , 2 ) be ( x₂ , y₂ )

Finding the distance between these points

[tex] \boxed{ \sf{distance \: = \: \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {(4 - 7)}^{2} + {(2 - 8)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 3)}^{2} + { (- 6)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{9 + 36}}} [/tex]

[tex] \dashrightarrow {\sf{ \sqrt{45} }}[/tex]

[tex] \dashrightarrow{ \sf{6.7 \: \: units}}[/tex]

Hope I helped!

Best regards! :D

Find the product. -25(-30)​

Answers

Answer: 750

25 times 3 is 75. Tack on a zero to get 25 times 30 = 750

The two negatives cancel each other out so the result is positive.

The propagation of fatigue cracks in various aircraft parts has been the subject of extensive study in recent years. The accompanying data consists of propagation lives (flight hours/104) to reach a given crack size in fastener holes intended for use in military aircraft (A????1Statistical Crack Propagation in Fastener Holes Under Spectrum Loading,A????1 J. Aircraft, 1983: 1028A????11032):
.736 .863 .865 .913 .915 .937 .983 1.007 1.011 1.064 1.109 1.132 1.140 1.153 1.253 1.394
Compute and compare the values of the sample mean and median.
By how much could the largest sample observation be decreased without affecting the value of the median?

Answers

Answer:

[tex]Mean = 1.030[/tex]

[tex]Median = 1.009[/tex]

[tex]Difference = 0.141[/tex]

Step-by-step explanation:

Given

Data:

.736, .863,  .865,  .913

.915, .937, .983,  1.007

1.011, 1.064, 1.109, 1.132

1.140, 1.153, 1.253, 1.394

Solving (a): Mean and Median

Mean

Mean is calculated as thus;

Mean = Summation of observation divided by number of observations[tex]Mean = \frac{.736 +.863 +.865 +.913 +.915 +.937 +.983 +1.007 +1.011 +1.064 +1.109 +1.132 +1.140 +1.153 +1.253 +1.394}{16}[/tex]

[tex]Mean = \frac{16.475}{16}[/tex]

[tex]Mean = 1.0296875[/tex]

[tex]Mean = 1.030[/tex] Approximated

Median

Since the number of observation is 16;

[tex]Median = \frac{16 + 1}{2}[/tex]

[tex]Median = \frac{17}{2}[/tex]

Median = 8.5th item

This can be determined by calculating the average of the 8th and 9th item

[tex]Median = \frac{1}{2}(1.007 + 1.011)[/tex]

[tex]Median = \frac{1}{2}(2.018)[/tex]

[tex]Median = 1.009[/tex]

Solving b:

For the median to remain 1.009, the largest sample (1.394) must be greater than or equal to 1.253

Calculating the difference:

[tex]Difference = 1.394 - 1.253[/tex]

[tex]Difference = 0.141[/tex]

Hence, it can be reduced by 0.141

part 3. Use the Laws of sines. Please show work. Round to the nearest tenth.​

Answers

Answer:

9) 47.1°

10) 23.0°

11) 33.0°

12) 22.0°

Step-by-step explanation:

Please see the attached pictures for full solution.

Which fraction is equivalent to the fraction shown by this model. 12/9​

Answers

Answer:

4/3

Step-by-step explanation:

12/9 is equivalent to 4/3, because you can divide both the numerator and denominator by the common factor of 3 and that will give you the correct fraction: 4/3.

Hope this helped.

This is a not graded question
Help!

Answers

The answer is B lm 100% sure

Sample A weighed 2.96 pounds, sample B weighed 3.8 pounds, and sample C weighed 4.417 pounds. How much more does sample C weigh than sample A? Betty collected another sample. Sample D weighed 0.67 pounds more than sample A. How much more does sample B weigh than sample D? 0.17 0.17 3.63 3.63 0.787 0.787 1.26

Answers

Answer:

4.417 - 2.96 = 1.457

3.8-3.63=0.17

Sample C weighs 1.457 more pounds than Sample A.

Sample B weights 0.17 more pounds than Sample D.

I need help 2x+y=7 to solve for y

Answers

Answer:

X=7-y over 2

Step-by-step explanation:

Subtract yy from both sides.

2x=7-y2x=7−y

2 Divide both sides by 22.

x=\frac{7-y}{2}x=

​2

​7−y

​​  

The equation solved for y is  y=7-2x.

The given equation is 2x+y=7.

We need to solve the given equation for y.

How to solve an equation?

Solving equations is computing the value of the unknown variable still balancing the equation on both sides. An equation is a condition on a variable such that two expressions in the variable have equal value. The value of the variable for which the equation is satisfied is said to be the solution of the equation. An equation remains the same if the LHS and the RHS are interchanged.

Now, solving the equation for y, we get y=7-2x.

Put x=1, 2, 3, 4,....in the equation and find the y value.

So, put x=1 in equation  y=7-2(1)=5.

Put x=2, we get

y=7-2(2)=3

Verification: Put the ordered pair (1, 5) in the equation and verify.

That is, 5=7-2(1)

⇒5=5

Therefore, the equation solved for y is  y=7-2x.

To learn more about an equation visit:

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Someone please help me!!!

Answers

I believe the answer is B: -3/4.

Find the domain and range of the function. Check all that apply.

Answers

The answer is below

Hope this help you

Have A great Day

You buy a new wheel for your bicycle. Thaw diameter of the bicycle wheel is 22 inches.What is the radius of the bicycle wheel?What is the circumference of the bicycle wheel?What is the area of the bicycle wheel?

Answers

Answer:

R = 11

C ≈ 69.12

A ≈ 380.13

Step-by-step explanation:

R = d ÷ 2

C = 2πr

A = 2πr²

People wait for sales to_______

1. buy the most goods

2. get the best price for a good

Answers

2. get the best price for a good

What is the range of this function?*
ТУ
5
1
Х
-5
0
-3
1
3
5
-3
-5
All Real Numbers
13.00
O Does Not Exist

Answers

Answer:

Hey there!

The range of this function is all numbers to three.

Thus, this can be expressed as (-∞, 3]

Let me know if this helps :)

All of the following represent the same expression except _____.

19 less than 25
25 less than 19
19 subtracted from 25
25 minus 19

Answers

Answer:

25 less than 19

Step-by-step explanation:

Required

Determine the odd one among the list of options

Start by taking the options one after the other;

1. 19 less than 25:

This implies 25 - 19

2. 25 less than 19

This implies 19 - 25

3. 19 subtracted from 25

This implies 25 - 19

4. 25 minus 19

This implies 25 - 19

From the above analysis, the off option is option (2);

Answer:

25 less than 19

Step-by-step explanation:

Required

Determine the odd one among the list of options

Start by taking the options one after the other;

1. 19 less than 25:

This implies 25 - 19

2. 25 less than 19

This implies 19 - 25

3. 19 subtracted from 25

This implies 25 - 19

4. 25 minus 19

This implies 25 - 19

From the above analysis, the off option is option (2);

PLEASE HELP ME WITH THIS TWO QUESTIONS I WILL MARK YOU BRAINLIEST PLEASE

The 8th graders are going to go on a field trip to see what their high school is like. There are 74 8th graders and their school has decided to rent vans to take them graders to the high school. If each van can fit 9 students, how many vans will their school need to hire?*PLEASE HELP I WILL MARK YOU BRAINLIEST

Summer workers for the Auster Landscaping Company make $14 an hour. One worker’s job was to create a stone wall for 4 hours. The client then gave the worker a $20 tip. How much money did the worker earn?**PLEASE HELP I WILL MARK YOU BRAINLIEST

Answers

Answer:

1. you will need 9 buses. 2. the worker earned $76

Step-by-step explanation:

1. 74 8th grader, each bus fits 9 students. 74 divided by 9 = 8.2 repeated, so i rounded up to 9.

2. Worker makes $14 an hour for four hours, then is tipped $20. 14 x 4= 56.

56 + 20 = 76. therefore he mad $76.

Answer:

for the first question i believe it's 8 vans

for the second question it is 76 because if u multiply $14 by 4 hours it gets u 56 meaning that in 4 hours they earned $56, but then the client gave them $20 as a tip so they all earned $76 in total

mark brainliest if u want to

Step-by-step explanation:

Given that x = −2 and y = 5, what is the value of 3x+4y−2

Answers

Answer:

12

Step-by-step explanation:

Note:

x = -2 ; y = 5

Plug in -2 for x and 5 for y.

3(-2) + 4(5) - 2

Remember to follow PEMDAS. First solve for multiplication, then combine:

3 * -2 = -6

4 * 5 = 20

-6 + 20 - 2

Combine like terms:

20 - 6 - 2 = 12

12 is your value.

~

Answer:

12

Step-by-step explanation:

When answering these types of problems make sure you simplify the expression before substituting

In this case it is not necessasry so substitute x for -2 and y for -5. The expression is now ...

3(-2) + 4(5) - 2

Now just add like term

-6 + 20 -2

12

Choose the graph of the system of equations.
y = 2x-1
y = -x + 1

Answers

Answer:

Option B is the correct graph.

Step-by-step explanation:

The slope in the first expression is 2, the graph shows this in option B.

3.777... into a mixed number

Answers

Hey there! I'm happy to help!

Let's call our fraction x.

x=3.777......

We want to get rid of the repeating stuff. If we multiply our fraction by 10, we get 10x=37.7777.

We see that if we subtract x from 10x, the repeating numbers will be cancelled out. Let's do this.

10x=37.7777

-

x=3.77777

=

9x=34

We divide both sides by 9.

x=34/9=3 7/9.

Have a wonderful day! :D


Which is the decimal expansion of 7/22?
0.318
0.318
0.318
0.318

Answers

Answer: B

Step-by-step explanation: Cuz I got a calculator

Hope this helps

The decimal expansion of 7/22 is 0.3181818..., which means that the answer is [tex]0.3\overline{18}[/tex]

Option B is the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To find the decimal expansion of 7/22, we need to perform a long division:

  0.3181818...

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

22 | 7.0000000

   6.6

   -----

   3.4

   3.3

   ---

     10

      8

      --

      20

      18

      ---

       20

       18

       --

        200

        198

        ---

          20

          22

          --

          -2

Now,

0.3181818 can be written as [tex]0.3\overline{18}[/tex]

Therefore,

The decimal expansion of 7/22 is 0.3181818..., which means that the answer is 0.3181818...

Learn more about expressions here:

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Jose Escalante worked at a skateboard shop for 40 hours at his regular wage of $7.50. He then worked for 8 hours at his overtime wage of time and a half. What is the total amount Jose earned?

Answers

He earned 300 not counting the overtime wage the total gross wage amount would be 390 TOTAL

PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :) ​

Answers

OML PLEASEGAJAHSJDBDJS thts crazy

What is the square root of 75 in simplest form

Answers

Answer:

[tex]\sqrt{75}[/tex]

Step-by-step explanation:

If it was actually square-rooted, it would be 8.660254038, but that is not the simplest form. Therefore, the simplest from of the square root of 75 is the square root of 75 itself, which is [tex]\sqrt{75}[/tex]. Hope this helped!

A carpenter built a triangular support structure for a roof. Two of the angles of the structure measure 37° and 55°. Find the measure of ∠RTP, the angle formed by the roof of the house and the roof of the patio. PLEASE HELP PLEASE HELP

Answers

Answer:

If you are asking for the last angle, it's 88 degrees.

Step-by-step explanation:

A triangle is 180 degrees. If you have two angles, then you subtract the two angels from 180 to get the last angle. 180 - 92 is 88 so yeah.

Dimensional analysis. An adult mosquito's lifespan is about 16 days. How many minutes is that?

Answers

Answer:

23040 minutes.

Step-by-step explanation:

Its 23040 minutes long because there are 60 minutes in an hour, an 24 hours in a day and 60 times 24 is 1440. Then you multiply 1440 by 16 which equals 23040.

what is 12x8 please tell me i need to know :) ")

Answers

Answer:

96

Step-by-step explanation:

10 x 8 = 80

2 x 8 = 16

so 80 + 16 = 96 :)

The equivalent value of the equation is A = 96

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be p = 12

Let the second number be q = 8

Now , A = pq

On simplifying the equation , we get

A = 12 x 8

So , the left hand side of the equation is equated to the right hand side by the value of 12 x 8

On multiplying 12 times 8 , we get

A = 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8

A = 96

Therefore , the value of A = 96

Hence , the expression is A = 96

To learn more about equations click :

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every negative integer J is less than or equal to its inverse written in mathematical language

Answers

Answer:

[tex]J \leq -\frac{1}{J}[/tex]

Step-by-step explanation:

Given

Negative integer J

Required

Write an expression as it is in the question'

First, we need to determine the inverse

[tex]Inverse = -\frac{1}{J}[/tex]

At this point, we have

[tex]Integer = -J[/tex]

[tex]Inverse = -\frac{1}{J}[/tex]

The required relationship between these expression becomes

[tex]J \leq -\frac{1}{J}[/tex]

2 tons is what percent of 206 tons?

Answers

Answer:

0.971%

Step-by-step explanation:

A percentage is simply a ratio to a whole.  If we assume 206 tons to be the whole, we can say this:

2 tons / 206 tons  == 0.00971

And the percentage is out of 100 so:

0.00971 * 100  == 0.971 %

Hence, 2 tons is 0.971% of 206 tons.

Cheers.

Complete the equation describing how x and y are related

Answers

Answer:

y=3x

Step-by-step explanation:

-2*3=-6

-1*3=-3

0*3=0

1*3=3

2*3=6

3*3=9

Answer:

3

Step-by-step explanation:

You can notice that each time, x is multiplied by 3 to give y.

Complete the answer. 8 is 1/10 of

Answers

Answer:

80

Step-by-step explanation:

1/10 = 10% = 0.1

0.1 x 8 = 0.8 = 80%

8 x 10 gives you 80, therefore the answer is 80
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