In the figure below, m 1 = 3x° and m2 = (x+36).
Find the angle measures

In The Figure Below, M 1 = 3x And M2 = (x+36).Find The Angle Measures

Answers

Answer 1

Answer:

Step-by-step explanation:

∠1+∠2=180°

3x+x+36=180

4x=180-36=144

x=144/4=36°

∠1=3x=3×36=108°

∠2=x+36=36+36=72°

Answer 2

The measures of the angles are m∠1 = 108° and m∠2 = 72°.

Given,

m∠1 = 3x°

m∠2 = (x + 36)°

We need to find the measure of these angles.

What is a straight line angle?

The straight line angle is 180 degrees.

If the angle is split the sum must be equal to 180 degrees.

We have,

m∠1 = 3x°

m∠2 = (x + 36)°

The figure is at a straight-line angle.

So we have,

m∠1  + m∠2 = 180°

3x° +  (x + 36)° = 180

3x + x + 36 = 180

4x + 36 = 180

4x = 180 - 36

4x = 144

x = 144/4
x = 36

Now,

- m∠1

= 3x

= 3 x 36

= 108

- m∠2

= x + 36

= 36 + 36

= 72

Thus the measures of the angles are m∠1 = 108° and m∠2 = 72°.

Learn more about straight line angles here:

https://brainly.com/question/13037238

#SPJ2


Related Questions

Francisco makes $11 per hour doing part time work on Saturdays. He spends $3 on transportation to and from work. The equation y = 11x - 3 gives his earnings y, after transportation costs, for working x hours. Complete the table of values for this situation.
x=2
x=3
x=4
x=5

Answers

Answer:

x=4

Step-by-step explanation:

You want to plug each x value into the equation to complete the table of values. The x variable represents how many hours he worked

y=11(2)-3=19
y=11(3)-3=30
y=11(4)-3=41
y=11(5)-3=52

Hope this helps!

State if the triangles in each pair are similar. If so, state how you know they are similar.

Answers

Answer:

A) similar; SAS similarity.

Step-by-step explanation:

SAS Triangle Similarity

The SAS criterion for triangle similarity states that if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.

We are given two triangles BCD and JKL. Sides DB and JL have a ratio of 90/20 = 4.5

Sides JK and BC have a ratio of 81/18 = 4.5

Since both sides are proportional and their included angle of 43° are congruent, then both triangles are similar, SAS similarity.

A) similar; SAS similarity.

There were 5 women, 4 men, 6 girls and 7 boys at a birthday party.
How many ways can 1 woman and 1 man be chosen to take coats as
people enter?

Answers

Answer: 20 ways

Step-by-step explanation:

Given:  There were 5 women, 4 men, 6 girls and 7 boys at a birthday party.

i.e. Number of women = 5

Number of men = 4

According to the fundamental counting principle , we have

(Number of women ) x (Number of men)

= 5 x 4

= 20

Hence,  1 woman and 1 man can be chosen in 20 ways to take coats.

3.
If m complement of

Answers

Answer:

complement of what ?

Step-by-step explanation:

Please answer! I will give brainliest to the correct answers.

Answers

Answer:

(n+10)+9

{(n+10)+9}/2

[{(n+10)+9}/2]-5

All you have to do is follow the steps!

Think of a number - n

Add 10 - n + 10

Add the number you were thinking of - n + 10 + n

Divide by 2 - (n + 10 + n) / 2

Subtract 5 - ((n + 10 + n) / 2) -5

It may look hard, but its not as hard as you think. All you need to do is follow the steps!

Help pleaseeeeeeeeeeeeeeeee

Answers

Answer:  0.92 feet (choice B)

You're close but not quite there. To get the answer, you divide 29.44 over 32

If you had 32 feet of banner and 32 students, then each student would get 32/32 = 1 foot. Since the length of the banner is smaller than the number of students, this means each student only gets a fraction of a foot. This fraction value is fairly close to 1 because 29.44 is close to 32.

Answer:

B: 0.92

Step-by-step explanation:

Divide the banner length by the amount of students

[tex]\frac{29.44}{32}[/tex]

Which is the equation of a line that has a slope of 1/2 and passes through point (2, -3) ?​

Answers

Slope form: y = mx + b
mx = 1/2x
y = 1/2x + b
Plug in points to find b
-3 = 1/2(2) + b
-3 = 1 + b
b = -4
Final equation: y = 1/2x - 4

One cause of major climate changes is the position of Earth relative to the _________________.
please help due in ten minutes!
thanks :)

Answers

Answer:

The recent role of the greenhouse effect

Step-by-step explanation:

Suppose your normal body temperature is 98 3/5 degrees Fahrenheit. If your body temperature goes up 3 1/5 degrees on Monday and then down 2 1/5 degrees on Tuesday, what is your temperature on Tuesday?

Answers

Answer:

can you help me if I help you plz

solve for m (8m+4) 38 degrees

Answers

Answer:

305m+152

Step-by-step explanation:

(8m+4)38

Multiply each term in the parentheses

8m times 38 plus 4 times 38

Multiply 8m times 38

304m plus 4 times 38

Then Multiply 4 times 38

304m+152

That should be your answer, but I could be wrong, therefore I am so sorry if I am. I hope this helps you.

A 12 inch board is cut into three pieces so that the second piece is as long as the first piece and the third piece is 3 times as long as the first piece of x represents the first piece find the lengths

Answers

Step-by-step explanation:

well that seems like a you problem lol

14. The first tree on the left is 8cm tall and is 30cm from the vanishing point. If the third tree is 20em from the

vanishing point, how tall is it?

d.

160 cm

8 cm

C.

b. 0.1875 cm

a.

5.3 cm

Answers

Answer:

5.3cm

Step-by-step explanation:

Step one:

given data

First tree

the tree is 8cm tall

and 30cm from the vanishing point

Third  tree

let the tree be x cm tall

and 20cm from the vanishing point

Step two:

if 8cm tree will be 30cm at the vanishing point

then x cm tree will be 20cm at the vanishing point

cross multiply we have

x= (20*8)/30

x=160/30

x=5.3cm

The third tree is 5.3cm tall

the question is the picture​

Answers

Answer:

1/5x

Step-by-step explanation:

A gradient is another word for slope.

every 4 minutes the volume increases by 20

so = rise/run = 4/20

now reduce

4/20

2/10

1/5

The question is below (This an order of operation question)

Answers

Step-by-step explanation:

i am 90% sure this is correct

Answer:

Step-by-step explanation:

Do multiplication first since it comes before the division in this equation

1/5 · 1/2 = 1/10

Plug this value back into the equation

1/2 - 1/10 + 2/5 ÷ 7/10

Divide 2/5 by 7/10

4/7

Plug this value back into the equation

1/2 - 1/10 + 4/7

Subtract 1/10 from 1/2

2/5

Plug this value back into the equation

2/5 + 4/7

Add.

34/35

Hope this helps :)

Please consider Brainliest :)

(01.01 MC)Why is 2 + (−3) equal to −1? Because it is 3 units to the left of 2 on a horizontal number line Because it is 3 units to the right of 0 on a horizontal number line Because it is 3 units to the left of 0 on a horizontal number line Because it is 3 units to the right of 2 on a horizontal number line

Answers

Answer:

Because it is 3 units to the left of 2 on a horizontal number line

Step-by-step explanation:

Given

[tex]2 + (-3) = -1[/tex]

Required

Why?

The interpretation of the question is that:

[tex]2 + (-3) = -1[/tex]

What is the result when 2 is shifted 3 units in the negative direction (i.e. towards the left)?

First, we have a horizontal to have the the following representation:

<.....-4   -3   -2   -1   0   1    2   3   4   5 ......>

Taking the positions of 2 and -1 into consideration,

<.....-4   -3   -2   -1   0   1    2   3   4   5 ......>

We can see that the distance between 2 and -1 is 3 units towards the left

In other words, -1 is 3 units from 2 in the left direction

Hence, option A answers the question

Answer:

Because it is 3 units to the left of 2 on a horizontal number line

Step-by-step explanation:

Please help

Drag the tiles to the correct boxes to complete the pairs.
Match each division of rational expressions with its quotient.

Answers

Answer:

The pairs are:

[tex]\frac{4p^3q}{6p^2q^2}\div \frac{12pq^3}{2p^2q^2}[/tex] =>  [tex]\frac{p^2}{9q^2}[/tex]

[tex]\frac{10p^3q^3}{2p^2q}\div \frac{5pq}{6pq^2}[/tex] => [tex]6pq^3[/tex]

[tex]\frac{14p^2q^3}{2pq}\div \frac{7p^2q^2}{6p^3q^2}[/tex] => [tex]6p^2q^2[/tex]

[tex]\frac{16pq^3}{24p^2q^3}\div \frac{2p^2q^2}{p^3q^3}[/tex] => [tex]\frac{q}{3}[/tex]

Step-by-step explanation:

We are going to solve the questions one by one and then write the quotients with every question.

In order to calculate the division, the terms are multiplied then exponents are added or subtracted between numerator and denominator to get the simplest form of answer.

First Expression:

[tex]\frac{4p^3q}{6p^2q^2}\div \frac{12pq^3}{2p^2q^2}[/tex]

When two fractions have to be divided the second fraction is reversed i.e. numerator becomes denominator and vice versa.

[tex]= \frac{4p^3q}{6p^2q^2} * \frac{2p^2q^2}{12pq^3}\\=\frac{p^5q^3}{9p^3q^5}\\=\frac{p^2}{9q^2}[/tex]

Second Expression:

[tex]\frac{10p^3q^3}{2p^2q}\div \frac{5pq}{6pq^2}[/tex]

Removing the division symbol

[tex]=\frac{10p^3q^3}{2p^2q} * \frac{6pq^2}{5pq}\\=\frac{6p^4q^5}{p^3q^2}\\=6pq^3[/tex]

Third Expression:

[tex]\frac{14p^2q^3}{2pq}\div \frac{7p^2q^2}{6p^3q^2}[/tex]

Removing the division symbol

[tex]=\frac{14p^2q^3}{2pq} * \frac{6p^3q^2}{7p^2q^2}\\= \frac{6p^5q^5}{p^3q^3}\\= 6p^2q^2[/tex]

Fourth Expression:

[tex]\frac{16pq^3}{24p^2q^3}\div \frac{2p^2q^2}{p^3q^3}[/tex]

Removing the division symbol

[tex]=\frac{16pq^3}{24p^2q^3} * \frac{p^3q^3}{2p^2q^2}\\=\frac{p^4q^6}{3p^4q^5}\\=\frac{q}{3}[/tex]

Hence,

The pairs are:

[tex]\frac{4p^3q}{6p^2q^2}\div \frac{12pq^3}{2p^2q^2}[/tex] =>  [tex]\frac{p^2}{9q^2}[/tex]

[tex]\frac{10p^3q^3}{2p^2q}\div \frac{5pq}{6pq^2}[/tex] => [tex]6pq^3[/tex]

[tex]\frac{14p^2q^3}{2pq}\div \frac{7p^2q^2}{6p^3q^2}[/tex] => [tex]6p^2q^2[/tex]

[tex]\frac{16pq^3}{24p^2q^3}\div \frac{2p^2q^2}{p^3q^3}[/tex] => [tex]\frac{q}{3}[/tex]

Let’s fix some n e {1,2,3,...}. A biased coin with probability of head p is tossed n times, and the number of heads, N1, is counted. The coin is then tossed Ni more times, and the number of heads, N2, is counted. Find the expected total number of heads, E[Ni + N2], generated by this process. The answer should depend on n and p only.

Answers

Answer:

The answer is "np(1+p)".

Step-by-step explanation:

[tex]N_1[/tex] = Number of n tossed heads  

According to [tex]N_1[/tex], Y = amount of [tex]N_1[/tex] tossing heads

So, [tex]N_1[/tex]~ Bin(n, p) and [tex]N_2[/tex] | [tex]N_1[/tex] ~ Bin([tex]N_1[/tex], p)

[tex]E(N_1+N_2) & = E\Big[N_1+N_2\vert N_1\Big]\\ &[/tex]

                   [tex]= E(N_1)+E\Big[N_2\vert N_1\Big]\\\\ & = E(N_1) + E(N_1\,p)\\\\ & = np + np.p \\\\ =np+np^2\\\\ =np(1+p)[/tex]

What agreement did Britain and the United States make in the Treaty of 1818?
joint control of the Oregon Country for ten years
joint control of West Florida for ten years
O joint control of fishing rights off Canada for ten years
O joint control of Latin America

Answers

Answer:

A

Step-by-step explanation:

Unit Test on a Edge today. ; )

Answer:

its A

Step-by-step explanation:

i got a 100  on my quiz

16.9 and 1.7 and 0.17 and 2.0 round to nearest tenth

Answers

Answer:

21

Step-by-step explanation:

I believe this because when you add it all together you get 20.77

The county fair is a popular field trip destination. This year the senior class at High School A and the
senior class at High School B both planned trips there. The senior class at High School A rented and
filled 9 vans and 10 buses with 659 students. High School B rented and filled 8 vans and 8 buses with
536 students. Every van had the same number of students in it as did the buses.
Find the number of students in each van and in each bus.
Van 12. Bus: 52
Van: 16, Bus: 75
Van 7. Bus:41
Van: 11. Bus: 56

Answers

Answer:

35

Step-by-step explanation:

subtracting 1 to the product of 5 and x gives the same value as adding 10 to the product of 3 and x. what value of x makes the statement true ?

Answers

Answer:17

Step-by-step explanation: You just follow the steps.

Anna is x years old and her sister, Jane is y years younger
What was the sum of their ages two years ago?
What will be the sum of their ages in 3 years?
How old was anna when Jane was born?

Answers

Answer:

Age of Anna = x years

Age of Jane i.e. Anna's sister = (x-y) years

a, What was the sum of their ages two years ago?

Solution,

Age of Anna two years ago = (x-2) years

Age of Jane two years ago = (x-y-2) years

Sum of their ages = x - 2 + x-y-2 = 2x - y -4

b. What will be the sum of their ages in 3 years?

Solution,

We have,

Present age of Anna = x years

Present age of Jane = (x-y) years

So,

Age of Anna after 3 years = (x+3) years

Age of Jane after 3 years = (x-y+3) years

Therefore,

Sum of their ages in 3 years = (x+3) +(x-y+3) = 2x - y+6

c. How old was Anna when Jane was born?

Solution,

Here,

According to question,

Jane is y years younger than Anna

So, Anna was y years when Jane was born.

[Suppose your age is 10 years and your brothers age is 14 years. You are 4 years younger than your brother. Also, his age was 4 years when you were born.]

A local Little league has a total of 60 players, 80% of whom are right-handed. How many right-handed players are there?
(Please answer step by step.)

Answers

Answer:

48 right-handed players

Step-by-step explanation:

first, make an equation

[tex]\frac{80}{100} =\frac{x}{60}[/tex]

then, cross multiply and the new equation is

[tex]100x=4800[/tex]

finally, divide by 100 on both sides to isolate the x and you get

x=48

You find a shirt that costs 24.67 for some clothes. To get ready for Black Friday there was a discount, and the discount was 32%. How much does it cost?

Made up question :D !!!

Answers

Answer:16.78

Step-by-step explanation:

2.6x0.47pls help
pls pls​

Answers

Answer:

1.222

Step-by-step explanation:

Solve the quadratic equation numerically (using tables of x- and y- values). x(x + 3) = 0 a. x = -1 or x = 3 c. x = 0 or x = -3 b. x = 0 or x = -5 d. x =1 or x = -1

Answers

Answer:

Step-by-step explanation:

x = 0

x+3 = 0

x = -3

The answer is x could be 0 or -3

Answer:

c on edge

Step-by-step explanation:

a. Identify at least three cases in your daily life/work where the analytics could be applied.
b. Choose one of the cases and describe how you will approach the problem. For example, you can start from where/how you collect data, how to use the data, what kind of problem can be solved, and etc.

Answers

Explanation:

Remember, the term analytics (or data analytics) refers to the act of carefully examining raw data in other to observe if there are any trends.

a) The following are three cases in our daily life/work where analytics could be applied:

analyzing changes in cell phone charges based on call durationanalyzing changes in our sleeping pattern based on hours spent on electronic gadgetsanalyzing changes in train ticket sales based on the time of the day.

b) For example, to analyze changes in my sleeping patterns based on hours spent on electronic gadgets, I need to first know

how many hours of sleep do I have every day in a particular period of time,how many hours have I spent on electronic gadgets daily for a period of time,Next, I need to answer based on the data; Is the amount of hours I sleep lower than expected? or Do I spend more time on electronic gadgets than sleep?

In the figure, AB is a midsegment of XYZ, CD is a midsegment of XAB. and AY - BZ

Answers

Answer:

xyz is isosceses triangle

help plz idk okhehehehehe​

Answers

That is the answer for the first one

How much will you need to invest each month to reach a savings goal of $200,000 at the end of 20 years, if you invest in an annuity that pays 3% interest, compounded monthly?
Round your answer to the nearest dollar.

Answers

Answer:

$609

Step-by-step explanation:

Other Questions
Such were the professor's words -- rather let me say such the words of fate, enounced to destroy me. As he went on, I felt as if my soul were grappling with a palpable enemy; one by one the various keys were touched which formed the mechanism of my being: chord after chord was sounded, and soon my mind was filled with one thought, one conception, one purpose. So much has been done, exclaimed the soul of Frankenstein -- more, far more, will I achieve: treading in the steps already marked, I will pioneer a new way, explore unknown powers, and unfold to the world the deepest mysteries of creation. Read the sentence. What is the purpose of the subordinate conjunction "although"? Although it was raining slightly outside, Tamanika decided to go for a walk. It introduces the independent clause within the sentence. It introduces the reason Tamanika decided to go for a walk. O It signals that the sentence will explain why Tamanika did not go for a walk. O It signals that the sentence will explain what Tamanika did despite the rain. Would the Shannon-Wiener Index be a good comparison for evaluating dinosaur and plant diversity in a fossil bed 150 million years old and one that is 90 million years old? explain the interrelationship between population environmemt and development. Unit 42Choose the correct answer from the following options. 10 pointsPria-Yob-tuc-l, ella, ustedd-nosotros/nosotrase-ellos, ellas,ustedesf-no answer has been providedWrite the correct answer on the blank. Just write the correct letter on the blank not the pronoun.1- comprenden_2- vendo3- corris4- leo_5- comprende_6-corres7-tosemos8- leemos9- bebe10- comenPlay Store A map of the United States.In your opinion, what parts of your personality have been affected by where you live? Check all that apply.the slang words I usethe accent I speak inthe kinds of clothes I wear the music I listen tothe activities I like to dothe different languages I speak find the smallest number by which the number108 must be multiplied to obtain a perfect cube Graph the line that represents the equation y = -2/3x + 1 What would a digitizing application create?a raster imagea curved-line vectora pixela straight-line vector A linear function contains the following points. What are the slope and y-intercept of this function? A. The slope is -3. The y-intercept is (0, -7). B. The slope is 1/3The y intercept (0,-7)c. The slope is -1/3The y intercept s (0, -7). D. The slope is -1/3The y intercept is (-7,0) A video store charges $3 per movie, and the fourth movie is free. How much do you actually pay per movie? What is the nth term rule of the quadratic sequence below?-5, -3,3, 13, 27, 45, 67, ... Look at the the following inequality:10x + 18 12 Which of the following values is not a solution to the inequality?Group of answer choicesA. -3B. 5C. -5D. -8 who is 24th president of the united state of america? After an afternoon party, a small cooler full of ice is dumped onto the hot ground and melts. If the cooler contained 6.60 kg of ice and the temperature of the ground was 42.5 C, calculate the energy that is required to melt all the ice at 0 C. The heat of fusion for water is 80.0 cal/g. What are three consecutive even integers whose sum is 66 Sujet de rdaction: Pendant votre enfance,vous avez prouv un sentiment de culpabilit.Dans quelles circonstances?Pour quelles raisons?Racontez,et prcisez ce que vous avez ressenti. If a television was 20% off and the amount of the discount was $200 what would the original price be? Which of the following is not an effective way to prevent heat stress andstroke?A. Do not exercise between 11 a.m. and 5 p.m.B. Wear a loose-fitting hat.C. Allow one to two weeks to get used to a hot environment.D. Decrease training intensity if the conditions are hotter thannormal. How does an increase in tourism (people visiting an area for fun) hurt themountain areas?People walk on the land and destroy it and pollute the areaThe only people who visit the mountains are there to helpPeople cannot visit mountains