Find the values of the variables:

Find The Values Of The Variables:

Answers

Answer 1

Answer:

x = 150

y = 30

Step-by-step explanation:

x° = 5y° (corresponding angles) (1)

x° + y° = 180° (Linear pair angles) (2)

From equations (1) and (2), we find:

5y° + y° = 180°

-> 6y° = 180°

-> y° = 180°/6

-> y° = 30°

-> y= 30

-> x° = 5(30°) = 150° (From equation 1)

-> x = 150


Related Questions

angles of circles

I don’t know how to solve circles please help

Answers

Answer:

55degrees try it I just wanted to help.

Pick a square that doesn’t belong with the others and explain why you made your choice.

Answers

the third square (8 + 7). all other squares equal 14, but that one equals 15

many persons can ride the elevator if each weighs 45kg?

Answers

Answer:

I cannot tell the answer if u don't write the question properly u have to write how much person is in the elevator then only I can calculate

Please help me with this math problem!! Will give brainliest!! :)

Answers

Step-by-step explanation:

x² x<1

-x²+4x-1 1<x<3

x-3 x>3

Feel free to ask question in the comments

A store sells 4 cans for ​$11. what is the price of 9 cans​?

Answers

Answer:

24.75

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

Solve

Since the customers pay 11 dollars for 4 cans, first find how much one can costs by dividing the cost of 4 cans by the amount of cans given.

[tex]11 / 4 = 2.75\[/tex]

Now that we know they're paying 2.75$, multiply 2.75 by 9 to find the result.

[tex]2.75 * 9 = 24.75\[/tex]

That said, the answer is 24.75$

Answer:

$ 24 . 75

Step-by-step explanation:

Price PER can =   11 /4    

Multiply this for 9 cans

9 * 11/4 =

Which three side lengths cannot form a triangle

Answers

The length of any two sides of triangle must add up to more then the length of third side

Answer:

The answer sorta varies, for example

"1² + 2² = 3² " cannot form a triangle, same with 4² + 5² = 10², there are actually more numbers but im not sure XD

LMK if this is wrong <3

Question 2 of 10
Solve (x – 4)2 = 5.
O A. x=-4+25
O x X
O B. x=514
O C. x = 9 and x= -1
O D. x = 4+15

Answers

Answer:

No answer

the answer is 6.5

Step-by-step explanation:

[tex](x - 4)2 = 5 \\ 2x - 8 = 5 \\ 2x = 13 \\ x = \frac{13}{2} = 6.5[/tex]

(3,-2) (4,6) what is the slope

Answers

[tex]\text{slope} = \dfrac{6-(-2)}{4-3} = \dfrac{6+2}1 = 8[/tex]

Your principal believes that students spend 2 hours on homework each night. However, based on the amount of time you spend on Honors Math 3 you believe it’s more than 2 hours.

What is the null hypothesis and alternative hypothesis to represent this situation?

Answers

Answer: The principal believes that students have been taught adequately in class and should not spend too much time on homework since it's meant to be a revision of what they have learnt. However a maths honour 3 students spends thorough time studying and has the understanding that Mathematics is time consuming, hence will think otherwise.

The student feels that maths homework may take the time meant for all other subjects judging by the time he/she dedicates to work.

Step-by-step explanation:

Maggie takes three electives: art, Spanish, and creative writing. She calculated the mean absolute deviation of the points she earned throughout the year in each class.


art: mean absolute deviation of 2. 1


Spanish: mean absolute deviation of 0. 8


creative writing: mean absolute deviation of 2. 7


In which elective were her scores the most spread out?

Answers

Due to the higher value of the mean absolute deviation, her scores were most spread out in creative writing.

What is the mean absolute deviation of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean. Hence, a higher value of the mean absolute deviation means that the data-set is more spread out.

In this problem, creative writing has the highest mean absolute deviation, hence, it is the elective in which her scores were most spread out.

More can be learned about the mean absolute deviation at https://brainly.com/question/3250070

A singular painting is 24 inches wide and 20 inches tall without the frame. With the frame, it is 28 inches wide and 24 inches tall. What is the area of the frame not covered by the painting?

Answers

Answer: 432

Step-by-step explanation:

28 × 24 = 672

24 × 20 = 240

Difference = 672 - 240

Mike walks mile in half an hour. Which of the following represents his walking speed in miles per
hour?

A. 1/2 mph
B. 1/8 mph
C. 8 mph
D. 3/4 mph

Answers

Answer:

Step-by-step explanation:

distance = rate [tex]*[/tex] time

1 (mile) = rate [tex]*[/tex] 0.5 (hours)

[tex]1/0.5 =[/tex] rate

rate = 2 mph...

That however is not answer choice. I'm guessing the number in front of the mile didn't copy over. You can use the same method I did, but just plugging in the actual number instead of 1.


Find four consecutive odd integers such that if the sum of the first and fourth is multiplied by three, the result
is 12 less than four times the third.

Answers

Answer:

-7, -5, -3, -1

Step-by-step explanation:

Let x be the smallest of the four consecutive odd integers. Then the next three consecutive odd integers are x+2, x+4, and x+6. We have:

[tex]3(x + x + 6) = 4(x + 4) - 12[/tex]

[tex]3(2x + 6) = 4(x + 4) - 12[/tex]

[tex]6x + 18 = 4x + 16 - 12[/tex]

[tex]6x + 18 = 4x + 4[/tex]

[tex]2x = - 14[/tex]

[tex]x = - 7[/tex]

So the four consecutive odd integers are -7, -5, -3, and -1.


Re-write the quadratic function below in Standard Form
y=8(x+6)(x-2)

Answers

Answer:

y = 8x^2 + 32x - 96.

Step-by-step explanation:

y=8(x+6)(x-2)

= 8(x^2 - 2x + 6x - 12)

= 8(x^2 + 4x - 12)

= 8x^2 + 32x - 96.

1/2 + 1/2 what is the answer to this problem

Answers

Answer:

1 is the answer

Step-by-step explanation:

1/2+1/2 is 2/2 which is equivalent to the number 1!

The correct answer would be 1

I need a little help here

Answers

Answer:

24

Step-by-step explanation:

The height of the rectangular prism is 4 units. Each layer is 6 units so 6 x 4 = 24.

Please help me
Will mark BRAINLIEST and give extra points

Answers

Answer:

Step-by-step explanation:

1 and 4 are adjacent supplementary angles. This will mean that 180-68=112

<4=112 degrees

<3 is the same as 1 which is 68 since they are vertical angles.

<2 is also 112

Answer:

2=112

3= 68

4= 112

Step-by-step explanation:

Each line adds to 180

So subtract 68  and it will give you the opposite side(2)  112

the angle across from it has tha same value so 2 and 4 are the same mesure

Please Help! will give brainlest!

Answers

Answer:

[tex]\theta = \frac{\pi}{3} , \pi, \frac{5\pi}{ 3}[/tex]

Step-by-step explanation:

we want to solve the following trigonometric equation:

[tex] \displaystyle - 2 { \sin}^{2} (\theta )+ \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)[/tex]

The first step of solving trigonometric equation is to rewrite the equation in terms of one trigonometric function . With Pythagorean theorem, we know that sin²x=1-cos²x . It will be helpful to rewrite the equation in terms of one trig functions. Therefore, substitute 1-cos²[tex]\theta[/tex] in the place of sin²[tex]\theta[/tex]:

[tex] \displaystyle - 2 (1 - \cos ^{2} ) + \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)[/tex]

simplify:

[tex] \displaystyle\implies - 2 (1 - \cos ^{2} (\theta) + \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)\\\implies- 2 + \cos ^{2} (\theta)+ \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)\\\implies\cos ^{2} (\theta)+ \cos( \theta) -1 = 0 [/tex]

Consider cos² [tex]\theta\implies[/tex] x. Thus,

[tex]2 {x}^{2} + x - 1 = 0[/tex]

solving the quadratic equation yields:

[tex]{x}^{} = \frac{1}{2} \\ x = - 1[/tex]

back-substitute:

[tex] \begin{cases} \cos( \theta) = \dfrac{1}{2} \\ \cos( \theta) = - 1 \end{cases} \theta \in[0,2\pi)[/tex]

take inverse trig in both sides

[tex] \implies \begin{cases} \theta = \dfrac{\pi}{3} + 2n\pi\\\theta= \frac{5\pi}{3} + 2n\pi \\ \theta = \pi + 2n\pi\end{cases} \theta \in[0,2\pi) \\\\\implies\theta= \frac{\pi}{3}+\dfrac{2n\pi}{3},\theta\in [0,2\pi)\\\text{when n=0}\\ \implies \theta = \frac{\pi}{3} \\ \text{when n=1}\\ \theta= \pi\\ \text{when n=2}\\\theta=\frac{5\pi}{ 3} [/tex]

In conclusion,

[tex]\displaystyle\theta = \frac{\pi}{3} , \pi, \frac{5\pi}{ 3}[/tex]

WILL GIVE BRAINEST!!!Need help right now

Answers

Answer:

See below ~

Step-by-step explanation:

Solving for x in ΔLMN

6x + 3 + 4x - 10 + 5x + 7 = 18015x = 180x = 12

Angles in ΔLMN

(6x + 3)° = 6(12) + 3 = 75°(4x - 10)° = 4(12) - 10 = 38°(5x + 7)° = 5(12) + 7 = 67°

Solving for y in ΔSTU

5x + 3y + 9y - 7 + 6x - 5 = 18011x + 12y - 12 = 18011(12) + 12y = 192132 + 12y = 19212y = 60y = 5

Angles in ΔSTU

(5x + 3y)° = 5(12) + 3(5) = 60 + 15 = 75°(9y - 7)° = 9(5) - 7 = 45 - 7 = 38°(6x - 5)° = 6(12) - 7 = 72 - 7 = 67°

⇒ Their angles are equal (in ΔLMN and ΔSTU)

⇒ ΔLMN and ΔSTU are similar

answer should be given in m/s​

Answers

Answer:

1.2 m/s

Step-by-step explanation:

when t = 0, your equation after expanding the brackets will only be 0^2 + 4.3*0 + 4*0.3 = 1.2

Find the mean and the median of this data set: 9, 6, 5, 3, 24, 7, 4, 2

Answers

To find mean add all values 9+6+5+3+24+7+4+2 which equals 60

Then take 60 divided by how many numbers that were given which is 8 —> 60/8 = 7.5 is your mean

To find medium put the numbers in order from least to greatest: 2,3,4,5,6,9,24 and cross out one from each side to get a medium of 5

Answer: Median is 5

Mean is 7.5

Step-by-step explanation: Median: arrange from smallest to largest and chose the middle number

Mean is the average. Add all the numbers and divide by 8

⚠️‼️⚠️ HELPPP PLEASE WILL GIVE POINTS ‼️⚠️⚠️​

Answers

Answer: m∠MON = 57°

Step-by-step explanation:

Need help with this geometry question!

Answers

Answer:

[tex]v = \pi \: {r}^{2} \: h \\ but \: v \: = 1573\pi \\ h = \frac{v}{ {r}^{2} } \\ h = \frac{1573}{121} \\ h = 13 \: units[/tex]

I hope it's helpful

A group of people gathered to watch a baseball game. While talking, they realized that 12 of
them are Boston Red Sox fans, and 18 of them are fans of other teams.
What is the probability that the favorite team of a randomly selected baseball fan is the
Boston Red Sox?
Write your answer as a fraction or whole number.
P(Boston Red Sox) =
Submit

Answers

Answer:

P(Boston Red Sox) = 2/5

Step-by-step explanation:

The probability that the favorite team of a randomly selected baseball fan is the Boston Red Sox can be found by dividing the number of Boston Red Sox fans by the total number of fans.

It's given that there are 12 Boston Red Sox fans and 18 other fans. Therefore the total number of fans is 12 + 18 = 30.

If we divide the number of Boston Red Sox fans by the total number of fans, we get 12/30 = 2/5. Finally, we have P(Boston Red Sox) = 2/5.

A circle with two chords is shown below. What is the value of x? Round your answer to the nearest tenth.

Numbers given are 8, 20, and 36

Answers

The theorem state that the products of the lengths of the line segments on each chord are equal. The value of x from the figure is 15.75

Intersecting chord theorem

The theorem state that the products of the lengths of the line segments on each chord are equal.

According to the given diagram;

9 * 21 = 12 * x

189 = 12x

Divide both sides by 12

12x/12 .= 189/12

x = 189/12

x = 15.75

Hence the value of x from the figure is 15.75

Learn more on Intersecting chord theorem here:https://brainly.com/question/23732231

#SPJ1

Dafna makes sport jackets. she is paid d dollars per hour , plus a piece rate of p dollars for each jacket .last week she made j jacket in h hours . write an expression for her total earnings .

Answers

Cost price is the total amount paid for the jacket while the selling price is the amount they are sold. The expression for her total earning willbe t(d) = hd - jp

Calculating total earning

Cost price is the total amount paid for the jacket while the selling price is the amount they are sold.

Total earning = Selling price  - Cost price

Find the cost price

If Dafna makes sport jackets and she is paid d dollars per hour, plus a piece rate of p dollars for each jacket.

Cost price = hd

x is the number of hour

Selling price = jp

total earning = hd - jp

Hence the expression for her total earning willbe t(d) = hd - jp

Learn more on functions here: https://brainly.com/question/26857518

#SPJ1

Can someone please help me? :(
A. 13
B.11
C.7
D.12

Answers

[tex]\bold{ANSWER:}[/tex]
D. 12

[tex]\bold{EXPLANATIONS:}[/tex]

~ More than 30 - 39 pledges.

7 + 4 + 1 = 12

PLS HELP ME $!!!!!!! ​

Answers

Step-by-step explanation:

(-1)⁴ - 11 = 1 - 11 = -10

0⁴ -11 = -11

1⁴ - 11 = -10

2⁴ -11 = -3

35, 150, 305, 420, 535, 650 find the last number

Answers

Answer:

765

Step-by-step explanation:

each time it is adding 115 to the number before it.

650+115=765

Answer: 8

I hope this helps! :)

there are 63,360 inches in a mile. how many inches are in 4,200 miles ?

Answers

there is 266112000 inches in 4200
miles
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