A quadrilateral has two angles that measure 200° and 110°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?

Answers

Answer 1

Answer:

20° and 30°

Step-by-step explanation:

the sum of the 4 angles in a quadrilateral = 360°

given 2 angles are 200° and 110° , then remaining 2 angles sum to

360° - 200° - 110° = 360° - 310° = 50°

sum the parts of the ratio, 2 + 3 = 5 parts , then

1 part = 50° ÷ 5 = 10° , so

2 parts = 2 × 10° = 20°

3 parts = 3 × 10° = 30°

the two angles are 20° and 30°


Related Questions

Solve the system of equations.

8x – y = 8
8x2 – y = 8

(0, 8) and (0, –8)
(1, 0) and (0, –8)
(2, 8) and (1, 0)
(3, 16) and (2, 24)

Answers

Answer:

(1, 0 ) and (0, - 8 )

Step-by-step explanation:

8x - y = 8 → (1)

8x² - y = 8 → (2)

since both equations are equal to 8 then equate the left sides

8x² - y = 8x - y ( subtract 8x - y from both sides )

8x² - 8x = 0 ← factor out 8x from each term

8x(x - 1) = 0

equate each factor to zero and solve for x

8x = 0 ⇒ x = 0

x - 1 = 0 ⇒ x = 1

substitute these values into (1) and solve for y

x = 0 : 8(0) - y = 8 ⇒ y = - 8 ⇒  (0, - 8 )

x = 1 : 8(1) - y = 8 ⇒ y = 0 ⇒ (1, 0 )

someone please help me to learn new things i am a 5th grade student and im hoping to learn new things in math

Answers

Answer:

Here you go!

Step-by-step explanation:

Do tell if it still seems difficult.

:)

Payton collected data to show the relationship between the number of hours he practices and the number of errors he makes when playing a new piece of music. The table shows his data.


A 2-row table with 9 columns. The first row is labeled number of hours with entries 1, 2, 3, 4, 5, 6, 7, 8. The second row is labeled number of errors with entries 36, 34, 30, 31, 23, 16, 11, 5.


Which is the approximate slope of the line of best fit for the data?

Answers

Using a calculator, it is found that the approximate slope of the line of best fit for the data is of -4.54762.

How to find the slope of the line of best fit?


The slope is found inserting the points (x,y) in a calculator. In this problem, the points are as follows:

(1, 36), (2,34), (3,30), (4,31), (5,23), (6,16), (7,11), (8,5).

Hence, using the calculator, the slope is of -4.54762.

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Which triangles are similar?
15
28
62
28
17
Triangle A
37
15
53
9
16
Triangle B
Triangle C
OA. Triangles B and C
OB. Triangles A and B
C. Triangles A and C
D. Triangles A, B, and C
62°
34

Answers

Answer:

triangle A andC are the same

What is the slope intercept form of the 2 points (-6,-3) and (6,-7)

Answers

It’s 6,7 because all the answers are wrong if u didn’t know that tbh and u will get the right answer

Malaki constructed \overline{CG}

CG

start overline, C, G, end overline parallel to \overline{AB}

AB

start overline, A, B, end overline through point CCC.


Which of the following statements best justifies why \overleftrightarrow{CG}

CG

C, G, with, \overleftrightarrow, on top is parallel to \overleftrightarrow{AB}

AB

A, B, with, \overleftrightarrow, on top?

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

Lines perpendicular to the same transversal are parallel.


(Choice B)

B

Lines with supplementary same-side angles are parallel.


(Choice C)

C

Lines with congruent alternate interior angles are parallel.


(Choice D)

D

Lines with congruent corresponding angles are parallel.

Answers

Answer: Lines with congruent corresponding angles are parallel.

CG is parallel to AB because Lines with congruent corresponding angles are parallel.

How to define transverse lines?

From the given image, we see that there is a transverse line cutting across lines AB and CG.

Now, from transverse line theorem we know that If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.

Thus, we can conclude that CG is parallel to AB because Lines with congruent corresponding angles are parallel.

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i dont now this question

Answers

Answer:

y = 108

Step-by-step explanation:

2x + 16 = 3x -12 (as you can see the F shape and are on straight lines and AB is parallel to CD) .

Now we solve for x :

Subtract 2x from both sides :

16 = x - 12

Now we add 12 to both sides :

28 = x

Angle 3x-12 and y add up to 180 as they are on a straight line :

3x-12 + y = 180

Substitute x and solve for y :

3(28) - 12 + y = 180

84 - 12 + y = 180

72 + y = 180

y = 108  

Hope this helped and have a good day

Stan wants to start an ira that will have $250,000 in it when he retires in 25 years. how much should he invest semiannually in his ira to do this if the interest is 6% compounded semiannually? assume an annuity due. round to the nearest cent. a. $2,151.82 c. $2,303.29 b. $2,216.91 d. $4,556.68

Answers

Answer:A

Step-by-step explanation:

find the circumference of an object. use 3.14 or 22/7 for pi. round to the nearest hundredth if necessary. 9 cm​

Answers

Step-by-step explanation:

to find the circumference of an object take pie and the radius and multiply it by 2

equation: 2 pie r

if r is 9 the answer is 56.55

9x2=18

18xpie=56.55

20(6x4) Can you pls help me

Answers

Answer:

480

Step-by-step explanation:

We will use the order of PEMDAS. First, everything in parenthesis must be completed. Since 6x4 is in parenthesis, we multiply it and get 24.
Since we now have 20(24). We can multiply them by each other.
A trick to do this manually is to notice that 20 is 10 x 2, meaning that in reality this equation is 10 x 2 x 24. Multiply 2 x 24 = 48, and 48 x 10 = 480.


1/2x-20-x = 3(2x - 1) - (2x - 1)

Answers

Answer:

x = -4

Step-by-step explanation:

1/2x - 20 - x = 6x -3 -2x +1

-1/2x -20 = 4x -2

-1/2x -4x = -2 +20

-9/2x = 18

9/2x = -18

9x = -36

x = -4

Give brainliest please!

hope this helps :)

What are some examples of a linear system

Answers

Answer:

Describe the middle class of Central America. Mention jobs, homes, and education.ury

Step-by-step explanation:

Name the types of angles shown.
L
M
Check all that apply.
A. straight angle
B. right angle
c. supplementary angles
D. complementary angles

Answers

Answer:

Ans : A. Straight angle

Step-by-step explanation:

Brainliest me pls

#KEEPSAFE

#STUDYWELL

#G'MORNING

Brain

Four graphs are shown below:


Four graphs named Graph A, Graph B ,Graph C and Graph D are shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 100 at increments of 10. All the graphs have 0,12 and 1,20 and 2,28 and 3,31 and 4,42 and 5,53 and 6,61 and 7,72 and 8,88 and 9,83 and 10,92. A straight line joins 0, 12 and 6,100 in Graph A. A straight line joins 0, 12 and 10, 50 in Graph B. A straight line joins 0, 10.5 and 10, 95 in Graph C. A straight line joins 0, 30 and 8,100 in Graph D.


Which graph best shows the line of best fit?


Graph A

Graph B

Graph C

Graph D

Answers

The graph that best shows the line of best fit is graph (c)

How to determine the best graph?

A graph that shows the appropriate line of best fit has the following properties:

The line of best fit has equal approximately points on either sideThe line of best fit touches as many points as possible

The graph that satisfies the above highlights is the graph (c)

Hence, the graph that best shows the line of best fit is graph (c)

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Answer:

c

Step-by-step explanation:

A circle has a area of 49 pie cm2 work out its radius

Answers

Area of a circle: pi x r^2

49 pi = pi x r^2

49 = r^2

r = +/- 7

---In this case, the radius is a measurement, so the answer must be positive.

r = 7

Hope this helps!

Which of the following tables represents a function?

Answers

Answer:  Choice B

Reason:

Choices A, C and D have repeated x values. It allows us to rule them out.

Table A has x = 6 repeating. Table C has x = 3 and x = -3 repeated. Table D has x = 4 and x = 5 show up twice each.

Whenever we have repeated x values, it indicates we do not have a function. A function is only possible when each x value goes to exactly one y value only.

Table A has the input x = 6 lead to y = 2 and y = -2 at the same time. Table C and table D are a similar story. So this is another way to rule out choices A, C and D.

Luckily table B has no repeated x values. Each x input leads to exactly one and only one y output. Therefore, table B is a function.

Side Note: the y values can repeat, but the function won't be one-to-one.

Find the indicated measures for each circle 0

Answers

Answer:

there are no indicate measure bro in circle

Step-by-step explanation:

Why was federal ruling system implemented in Nepal?Give any four reasons


I need help with this

Answers

Answer:

The answer is B

Step-by-step explanation:

f(x) = -3x - 5

g(x) = 4x - 2

= -3x - 5 - (4x - 2)

= -7x - 3

Answer:

B. -7x - 3

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

f(x): -3x - 5

g(x): 4x - 2

f(x) - g(x) = (-3x - 5) - (4x - 2)

              = -3x - 5 - 4x + 2

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

              = (-7x) + (-3)

Graph the equation y =3/5 x on the coordinate plane.​

Answers

Step-by-step explanation:

See above graph.......

PLEASE HELPPPPP ME, IVE BEEN STUCK ON THIS ONE!!..

Answers

Answer:

C. 9 minutes 30 seconds

Step-by-step explanation:

well you could estimate it or just add 2.5 to 6.9 and you would get pretty close to the answer

Have a good day! :)

Vector bought 15.6 pounds of paintballs. Ali together, the balls cost 35.99. About how much did the paintball cost per pound

Answers

Answer:

about $2.31 per pound

Step-by-step explanation:

35.99/15.6 = 2.30705128205

2.31

Have a good day! :)

6. What is an equation of the line that passes through the point (6,8)
and is perpendicular to a line with equation y = 3
2x + 5?
(1) y − 8 = 2(x − 6)
(3) y + 8 =
2(x + 6)
(2) y - 8 = -(x − 6)
-
(4) y + 8 =
− ½(x + 6)

Answers

Answer:

x = 6

Step-by-step explanation:

y = 3 is a horizontal line parallel to the x- axis and passing through all points with a y- coordinate of 3

A line perpendicular to this will be a vertical line parallel to the y- axis with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (6, 8 ) with x- coordinate 6 , then

x = 6 ← equation of perpendicular line

Evaluate each function.
14) g(x)= 3x² - 1; Find g(-3)

Answers

Answer:

g(-3)= 26

Step-by-step explanation:

g(x)= 3x² - 1

g(-3) means use -3 for x in the given equation.

g(-3)= 3(-3)² - 1

g(-3)= 3(9) - 1

g(-3)= 27 - 1

g(-3)= 26

Can someone help me with this??

Answers

10 40 400
20 30 600
25 25 625
35 15 525
40 60 2400
(mb if it’s incorrect)

-7–2.1n=-3.5n PLEASE ANSWER

Answers

Answer:

n=5

Step-by-step explanation:

-7-2.1n=-3.5n

 +2.1n    +2.1n

-7   =  -1.4n

/-1.4   /-1.4

n=5

Hope this helps!

If not, I am sorry

Answer:

b = - 1.25

Step-by-step explanation:

-7 - 2.1n = 3.5n

-7 = 3.5n + 2.1n

-7 = (3.5+2.1)n

-7 = 5.6n

-7/5.6 = n

n = -1.25

Check:

-7 -(2.1*-1.25) = 3.5*-1.25

-7 + 2.625 = -4.375

1. Solve the equation using square roots.
x² +10=9

Answers

Answer:

x=±√−1 (NO REAL SOLUTION)

Step-by-step explanation:

x² + 1 = 0

1× x²+1=0

x=±√(−1×1)

x=±√−1 (NO REAL SOLUTION)

Show and explain how replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions as the one shown.
8x + 7y = 39

4x – 14y = –68

Answer:
Sample Response: Using the linear combination method, you can multiply the first equation by 2 and add the equations to get 20x = 10. Dividing both sides by 20, x = 1/2. To solve for y, substitute 1/2 for x in the equation 8x + 7y = 39 to get 4 + 7y = 39. Solving this equation, y = 5. Checking this in the other equation, 4(1/2) – 14(5) = –68 results in 2 – 70 = –68 or –68 = –68. The solution of the system shown is (1/2, 5). The system 8x + 7y = 39 and 20x = 10 is formed by replacing 4x –14y = –68 by a sum of it and a multiple of 8x + 7y = 39. Since 20(1/2) = 10, the system 8x + 7y = 39 and 20x = 10 also has a solution of (1/2, 5).

Answers

Hope this was helpful..

What is a simpler form of the radical expression?

SOMEONE PLEASE HELP!!

Answers

Answer:

Choice B

Step-by-step explanation:

Given radical expression:

[tex] \sqrt[4]{1296 {x}^{16} {y}^{12} } [/tex]

To Find:

The Simpler form of this expression

Soln:

[tex] = \sqrt[4]{1296 {x}^{16} {y}^{12} } [/tex]

We could re-write the given expression, according to the law of exponents:

[tex] = \tt \sqrt[4]{(6x {}^{4}y {}^{3}) {}^{4} } [/tex]

Now we need to bring terms out of the radical as:

[tex] \tt = | 6x { }^{4} y {}^{3} | [/tex]

Bring out 6x^4 from the absolute & put y^3 only in it:

[tex] \tt = 6x {}^{4} |y {}^{3} | [/tex]

Choice B is accurate.

Eva wants to estimate the number of rabbits on a farm.
On Monday, she catches 50 rabbits.
These rabbits are tagged and then released.
On Tuesday, she catches 100 rabbits.
12 of these rabbits have tags on them.
Estimate the number of rabbits on the farm.

Answers

Estimate the number of rabbits on the farm will be 417 rabbits.

What is Algebra?

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Eva wants to estimate the number of rabbits on a farm.

On Monday, she catches 50 rabbits.

These rabbits are tagged and then released.

On Tuesday, she catches 100 rabbits.

12 of these rabbits have tags on them.

Then estimate the number of rabbits on the farm that will be

Let n be the number of total rabbits. Then we have

12n = 50 x 100

  n = 5000 / 12

  n = 416.67

  n ≅ 417

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Q4. The diagram shows a triangle inside a rectangle.
2x
All measurements are given in centimetres.
Show that the total area, in cm², of the shaded regions is 18x - 30
3x-5
Diagram NOT
accurately drawn

Answers

The prove to show that the area of the shaded portion is 18x  - 30 is as follows: 3x² + 13x - 30 - 3x² + 5x = 18x  - 30

How to find the area of the shaded region?

The area of the shaded region can be represented as follows:

area of the shaded region = area of rectangle - area of triangle

Therefore,

area of the rectangle = (x + 6)(3x - 5)

area of the rectangle = 3x² - 5x + 18x - 30

area of the rectangle = 3x² + 13x - 30

area of triangle = 1 / 2 × 2x × 3x - 5

area of triangle = 3x² - 5x

Therefore,

area of the shaded portion =  3x² + 13x - 30 - 3x² + 5x

area of the shaded portion = 18x  - 30

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Multi choice choose the rule for the table year 8 level maths XMilanLisbonMadridRomeNaplesmWhich statement best describes where most people live in Europe? Pls help meee!!!!!!!!!Pls show your work pls and thank u Read the stanza from John Donne's "The Flea."MARK but this flea, and mark in this,How little that which thou deniest me is;It suck'd me first, and now sucks thee,And in this flea our two bloods mingled be.Thou know'st that this cannot be saidA sin, nor shame, nor loss of maidenhead;Yet this enjoys before it woo,And pamper'd swells with one blood made of two;And this, alas ! is more than we would do.How does the flea function in this poem?A)as an allusion to the relationship between the speaker and the women to whom he addresses the poemB)as imagery describing the relationship between the speaker and the women to whom he addresses the poemC)as a personification of the relationship between the speaker and the women to whom he addresses the poemD)as a metaphor for the relationship between the speaker and the woman to whom he addresses the poem A ladder is resting against a wall. The top of the ladder touches the wall at a height of 9 ft. Find the length of the ladder if the length is 3 ft more than its distance from the wall. PLEASE HELP BEEN STUCK ON THIS FOR 2 HOURS 7 QUESTIONS ON A ESCAPE ROOM BRAINlIEST helppppp The triangles shown below must be congruent. A. True B. False Who is responsible for Bloody Saturday during Winnipeg General Strike? Which is one reason that factory work was dangerous in the 1800s? A.Machines were too difficult for workers to use.B There were not enough workers to operate large machines. C.Most machines had few safety features. D There were not enough machines to meet demand for products. The Equal Employment Opportunity Act of 1972 strengthened the Equal Employment Opportunity Commission, an agency created by the Civil Rights Act of 1964, by: Multiple select question. issuing guidelines for employer conduct in complying with EEO giving it broad powers to enforce Title VII making it responsible directly to the President mandating specific record keeping procedures The figure above shows the probability density function for the random variable x. What is P(3x Assuming that there are no hidden cubes, what is the front orthographic view of the diagram? Select the correct answer. if two half-lives have passed since a scientist collected a 1.00-gram sample of u-235, how much u-235 is left now? a. 0.001 g b. 0.100 g c. 0.250 g d. 0.450 g e. 3.00 g [tex]\large{\underline{\underline{\pmb{\sf{\color {yellow}{Question:}}}}}}[/tex]Features of Trusteeship Council why did farmers earn more money after the plague 3 lines are shown. A line with points T, R, W intersects with a line with points S, R, V at point R. Another line extends from point R to point U in between angle V R W.Which pair of angles are vertical angles? HURRY PLEASE Three resistors of 100 W, 3900 W, and 1000 W are connected in series across a 200-V battery. What is the voltage drop across the resistor of value 1000 W? please add an explaination. Matilda and Quinton are in high school and know that they really want to be parents one day. Matilda loves kids and works in a preschool after school. Quinton has a job as well, does not think he wants to go to college, and plans get a full-time job after graduation. They think they could probably handle a child now. What is the BEST advice to give Matilda and Quinton?A. If they feel ready to have a baby and like children, it will likely be fine.B. They have no idea what it takes to raise a child, and they will ruin their lives.C. Thinking that they want to have children does not mean they will be good parents.D. There are many benefitsfor them and the childif they wait until they are older. (2.01)A polygon is shown on the graph:If the polygon is translated 3 units down and 4 units left, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates. During hot work, the fire watch shall do which of the following?A) All choices are correctB) Remain on the jobsite for a specified time period before and after hot workC) Verify proper spark containmentD) Sound the alarm if a fire occurs