Find the measures of all four angles if m∠2 − m∠1=30°

Find The Measures Of All Four Angles If M2 M1=30

Answers

Answer 1

Answer:

m∠1 = m∠3 = 75°

m∠2 = m∠4 = 105°

Step-by-step explanation:

From the figure attached,

m∠1 + m∠2 = 180° [Supplementary angles]------(1)

Since, m∠2 - m∠1 = 30°

m∠2 = 30° + m∠1 -----(2)

By substituting the value of ∠2 from equation (2) to equation (1),

m∠1 + (m∠1 + 30°) = 180°

2(m∠1) + 30° = 180°

2(m∠1) = 150°

m∠1 = 75°

Therefore, m∠2 = 180°- m∠1 = 180° - 75°

                  m∠2 = 105°

Since, ∠ 2 ≅ ∠4 [Vertical angles]

m∠2 = m∠4 = 105°

Similarly, ∠1 ≅ ∠3 [Vertical angles]

m∠1 = m∠3 = 75°


Related Questions

PLEASE HELP!!!! which values are in the domain of the function f(x)=-6x+11 with a range {-37,-25,-13,-1}? Pick ALL that apply
a. 1
b. 2
c. 3
d. 4
e. 5
f. 6
g. 7
h. 8

Answers

Answer:

e or f

Step-by-step explanation:

solve please: 40=8d​

Answers

Step-by-step explanation:

: 40=8d

divide both sides by 8

40/8=8d/8

d=5

[tex]\textsf{Hey there!}[/tex]

[tex]\textsf{40 = 8d}[/tex]

[tex]\textsf{FIRST \& LAST step: DIVIDE by 8 on both of your sides}[/tex]

[tex]\mathsf{\dfrac{40}{8} = \dfrac{8d}{8}}[/tex]

[tex]\mathsf{CANCEL\ out: \dfrac{8}{8}\ because\ it\ gives\ you\ 1}[/tex]

[tex]\mathsf{KEEP: \dfrac{40}{8}\ because\ that\ helps\ us\ solve\ for\ \bf{d} \textsf{ \ or \ answers\ d}}[/tex]

[tex]\mathsf{\underline{\dfrac{40}{8} = 40\div8 \rightarrow 5}}[/tex]

[tex]\mathsf{Answer}[/tex]

[tex]\textsf{\bf{d = 5}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

9x9 sudoko puzzle
——————————-

Answers

I done it

I attached it

if it is 2:20 what time would it be 1 hour and 30 minutes later

Answers

Answer:

I would say 3:30

Step-by-step explanation:

In a hour and 30 minuets it will be 3:50

Find the product (x+2t) exponent of 2

Answers

Answer:

x² + 4xtx + 4t²

Step-by-step explanation:

Given

(x + 2t)² = (x + 2t)(x + 2t)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 2t) + 2t(x + 2t) ← distribute both parenthesis

= x² + 2tx + 2tx + 4t² ← collect like terms

= x² + 4tx + 4t²

Kennedy invested $5,000 in an account paying an interest rate of 6.4% compounded
daily. Assuming no deposits or withdrawals are made, how much money, to the
nearest cent, would be in the account after 15 years?

Answers

The Answer is

A~13057.38

The money, to the nearest cent, would be in the account after 15 years is $13060.

What is Daily Compound Interest ?

Due to the high frequency of compounding, daily compounded interest is larger than monthly/quarterly compounded interest since interest is accumulated on a daily basis and is determined by charging interest on principal plus interest gained on a daily basis

It is given in the question that Kennedy invested $5000

Interest rate = 6.4% compounded daily

Assuming no deposits and withdrawals

T = 15 years

The formula for amount obtained after 15 years when interest is compounded daily

[tex]\rm A = (P(1 + \dfrac{r}{n})^{nt})[/tex]

[tex]\rm A = (5000(1 + \dfrac{6.4}{365*100})^{365*15})[/tex]

A = 5000 * 2.612

A = $13060

Therefore , money, to the nearest cent, would be in the account after 15 years is $ 13060.

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2+2=????????????????????????????????

Answers

Answer:

4 ;P !!!!!!!!!!!!!!!!!!!!!!

Answer:

4

Step-by-step explanation:

2+2=4

Piano lessons cost $30 per lesson. Choose the graph that represents the total cost for x number of lessons. On a coordinate plane, the x-axis is labeled Lessons and the y-axis is labeled Total Cost (dollars). Points (1, 30), (2, 30), (3, 30), (4, 30), and (4, 30) are plotted. On a coordinate plane, the x-axis is labeled Lessons and the y-axis is labeled Total Cost (dollars). Points (0, 30), (1, 60), (2, 90), (3, 120), and (4, 150) are plotted. On a coordinate plane, the x-axis is labeled Lessons and the y-axis is labeled Total Cost (dollars). Points (1, 30), (2, 60), (3, 90), (4, 120), and (5, 150) are plotted.

Answers

Answer:

On a coordinate plane, the x-axis is labeled Lessons and the y-axis is labeled Total Cost (dollars). Points (1, 30), (2, 60), (3, 90), (4, 120), and (5, 150) are plotted.

Step-by-step explanation:

Answer

Im going to keep this simple the answer is c

Step-by-step explanation:

I NEED TO KNOW NOW IT'S DUE!!

Last summer, Fred earned 16 dollars per day, and Maria earned 18 dollars per day together, they earned 1780 dollars. If Fred worked 5 more days than Maria, how many days did Maria work?​

Answers

x = # of days Maria worked

x + 5 = # of days Fred worded

$16(x + 5) + $18x = $1780

Let's distribute the $16

$16x + $80 + $18x = $1780

Combine like terms

$34x + $80 = $1780

Subtract $80 from both sides.

$34x = $1700

Divide both sides by $34

x = 50 days

Maria worked 50 days

2.3 to 1 significant figure

Answers

☽------------❀-------------☾

Hi there!

~

2.3 to 1 significant figure.

= 2

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

2

Step-by-step explanation:

Locate the ones place:

2.3

Check the next number:

2.3

Since the number is less than or equal to 4, we round down.

2.3 ≈ 2

Hope this helps.

Please how to do this ​4−(3−5)= ​​

Answers

Answer:

Well, subtract 3 and 5 first, you get 2, then subtract 4-2. you get 2.

Step-by-step explanation:

(3-5) = 2

4-2=2

add 3 on both sides
divide 5 on both sides
x=2

Answers

Can I see a picture to solve it?
Picture to do it por favor

Question Help
A fisherman can row upstream at 1 mph and downstream at 4 mph. He started rowing upstream until he got tired and then rowed downstream to
How far did the fisherman row if the entire trip took 2 hours?
starting point
The distance the fisherman rowed is ___mi.

Answers

Answer: the answer is 3.2 miles

Step-by-step explanation:

The distance the fisherman rowed is 3.2 miles if the fisherman can row upstream at 1 mph and downstream at 4 mph.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

A fisherman can row upstream at 1 mph and downstream at 4 mph.

He started rowing upstream until he got tired and then rowed downstream to his starting point.

Let the time of row upstream is x hours

Let the time of row downstream be y hours

From the question:

x + y = 2

x = 2 - y

x = 4y

Solving the above two linear equations by substitution method:

2 - y = 4y

5y = 2

y = 2/5

y = 0.4 hours

Distance = speed×time

Distance = 4×0.4 = 1.6 miles

= 1.6×2 = 3.2 miles

Thus, the distance the fisherman rowed is 3.2 miles if the fisherman can row upstream at 1 mph and downstream at 4 mph.

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Does anyone know what these are?? I desperately need help :((

Answers

Answer:

3) x=7

4) x=6

5) x=8

6) x=4

AB=24

Step-by-step explanation:

3) 3x+4x=49

7x=49

x=49÷7

x=7

4) (8x-14)+(4x+1)=59

12x-13=59

12x=59+13

12x=72

x=6

5) 6x-7=5x+1

6x-5x=1+7

x=8

6) 6x+2x+1=33

8x=33-1

8x=32

x=4

AB=6x=6(4)=24

Given: 5n - 42 - 12n: Prove: n = -6
Statements :

Reasons :

Answers

5*-6-42-12*12*-6=0
the answer is: 0

Suppose S is between R and T. Use the Segment Addition Postulate to solve for z.. RS=2z+6, ST=4z−3, RT=5z+12

Answers

Answer:

9

Step-by-step explanation:

If S is between R and T, then RS+ST = RT

Given the following parameters

RS=2z+6,

ST=4z−3,

RT=5z+12

On substituting

2z+6+4z-3 = 5z+12

Collect like terms

2z+4z-5z = 12+3-6

6z-5z = 15-6

z = 9

Hence the value of z is 9

what is the median of a triangle ?
pls i need the answer quick

Answers

Answer:

In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

Step-by-step explanation:

Answer:

line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

Step-by-step explanation:

Find the slope of the line passing through the points (-18, -5) and (-19, -13)​

Answers

Answer:

Let (-18, -5) be (x1,y1)

(-19, -13) be (x2,y2)

slope = (y2-y1)/(x2-x1)= (-13+5)/(-19 +18) = 8

Answer: The slope is 8.

Step-by-step explanation: To get the slope you have to do y2 - y1 over x2 - x1. so you take the -5 and subtract -13 from it, which equals 8. Then subtract -19 from -18 which is 1. So you have 8/1 which is 8.

This circle is centered at the point (2,6), and the length of its radius is 4. What is the equation of the circle?

Answers

Answer:

The equation of the circle with centre (h,k) and radius (r) can be written as :-

[tex] \\ \qquad \sf \: {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ [/tex]

So, we are given with :-

h = 2 k = 6 r = 4

Now, by putting their value we can write the equation as :-

[tex] \\ \qquad\sf \: {(x - 2)}^{2} - {(y - 6)}^{2} = {4}^{2} (16) \\ [/tex]

Expanding this, we get :-

[tex] \\ \sf {x}^{2} - 4x + 4 + { y}^{2} - 12y + 36 = 16 \\ [/tex]

Rearranging and by subtracting by 16 from both sides we got standard polynomial as -

[tex] \\ \sf \: {x}^{2} + {y}^{2} - 4x - 12y + 20 = 0 \\ [/tex]

Blanca earns a yearly salary of $55,000. Isabel earns a yearly salary of $63,000. Blanca will receive a salary increase of $3,700 per year, and Isabel will receive a salary increase of $2,900 per year.

Which equation can be used to find n, the number of years it will take Blanca to earn the same salary as Isabel?


55,000n + 3,700 = 63,000 + 2,900n

55,000n + 3,700n = 63,000n + 2,900n

55,000n + 3,700n = 63,000n + 2,900

55,000 + 3,700n = 63,000 + 2,900n

PLSS ANSWER ILL MAKE MOST BRAINLIEST!!!!

Answers

Answer:

last choice: 55,000 + 3,700n = 63,000 + 2,900n

Step-by-step explanation:

Blanca's salary now: 55,000

Adding $3,700 per year will add 3,700n in year n.

Her salary in year n will be 55,000 + 3,700n

Isabel's salary now: 63,000

Adding $2,900 per year will add 2,900n in year n.

Her salary in year n will be 63,000 + 2,900n

We set the two total salaries equal:

55,000 + 3,700n = 63,000 + 2,900n

Answer:

the answer is D i did and made a 100 good luck on rest of the test

Step-by-step explanation:

Help PLEEEASE QUICK​

Answers

I think the one you chose is correct

The sum of three consecutive integers is 267. What is the largest integer?

Answers

Answer:

i hope it helps you and best of luck : )♥

Mitch lives on the 20th floor of an apartment building. Every time he leaves, he rides a self-service elevator from the 20th floor to the street; but every time he returns, he rides the same self-service elevator only to the 15th floor, where he leaves the elevator and walks up the remaining five flights of stairs. What is happening? Why does he do that?

Answers

Answer:

He does that because he is short and his hand can't reach the 20th floor button

Step-by-step explanation:

Mitch does that simply because he is short.

When he is leaving, he doesn't need to reach the 20th floor button because the button is way taller than the reach of his hands whereas when he is returning he has to reach the 20th floor button but his hand can only reach the 15th floor button. Thus, he gets to the 15th floor and walks up the remaining 5 flights.

At 7 A.M the temperature was 4 .At 9A.M it was a degrees warmer. What was the temperature at 9 A.M

Answers

It was 5 degrees at 9 am

Answer:

5 I’m guessing

Step-by-step explanation:

If it’s a degrees warmer and to the right of a number line is warm in weather then it would be 5.

Maya painted 3/4 of her art project in the morning and 1/8 of her project in the evening which equation can Maya use c to find how much of the project she painted

Answers

The equation to find the proportion painted is: [tex]\mathbf{c = \frac{7}{8}x}[/tex]

Let the size of the art be x.

In the morning, she paints 3/4 of x.

So, we have:

[tex]\mathbf{Morning = \frac 34 x}[/tex]

In the evening, she paints 1/8 of x.

So, we have:

[tex]\mathbf{Evening = \frac 18 x}[/tex]

So, the amount of project painted is:

[tex]\mathbf{c = Morning + Evening}[/tex]

This gives

[tex]\mathbf{c = \frac 34x + \frac 18x}[/tex]

Take LCM

[tex]\mathbf{c = \frac{6x + x}8}[/tex]

Add the numerator

[tex]\mathbf{c = \frac{7x}8}[/tex]

So, we have:

[tex]\mathbf{c = \frac{7}{8}x}[/tex]

Hence, the equation to find the proportion painted is: [tex]\mathbf{c = \frac{7}{8}x}[/tex]

Read more about proportions at:

https://brainly.com/question/21126582

Mathmatics 8th grade

Answers

Answer:

f or 2 meters is the correct answer

Step-by-step explanation:

Answer:

2.8

Step-by-step explanation:

2.8*2.8=7.84. 2.8 is the closest to the length of one side of the square.

simplify
rewrite the expression in the form 4n​

Answers

Answer:

4^4 or 256

Step-by-step explanation:

Answer:

[tex]4^{4}[/tex]

-4x + 9 = -7x - 12 +7x +7x 3x + 9 +12 -9 -9 3X 3 ------ = ------ 3 3 x= 1 What is the error or is there no error ?

Answers

Answer:

Okay, I think you mean't 4x-9=6x+12.

Step-by-step explanation:

x=-7

helppp first to answer gets brainlist​

Answers

Answer:

j

Step-by-step explanation:

I have to find rs and rt ​

Answers

Answer:

RS= 20

ST= 40

RT=60

Step-by-step explanation:

If you notice, RS and ST make up RT. Therefore, we add RS and ST, and set that equal to RT.

3x-16+4x-8=60               [combine like terms]

7x-24=60                        [add both sides by 24]

7x=84                              [divide both sides by 7]

x=12

Now that we know x, we can plug them into RS.

3(12)-16                          [multiply]

36-16                              [subtract]

20

We can also find ST.

4(12)-8                            [multiply]

48-8                                [subtract

40

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