Find the values of x and y . Then find the measures of the interior angles of the polygon.

Find The Values Of X And Y . Then Find The Measures Of The Interior Angles Of The Polygon.

Answers

Answer 1

Step-by-step explanation:

It is a cyclic quadrilateral.

The sum of interior angles of this polygon is equal to 180 degrees.

ATQ,

2x+26y=180

x+13y=90 ....(1)

3x+21y=180

x+7y=60 ....(2)

Subtract equation (1) from (2).

x+7y-(x+13y) = 60-90

x+7y-x-13y=-30

-6y=-30

y = 5

Put the value of y in equation (1

x+13(5) = 90

x+65=90

x = 90-65

x = 25

So,

∠DAB = 26y = 26(5) = 130°

∠ABC = 3x = 3(25) = 75°

∠BCD = 2x = 2(25) = 50°

∠ADC = 21y = 21(5) = 105°

Answer 2

    x = 25, y = 5

    m∠DAB = 26(y) = 180°

    m∠ABC = 3x = 75°

    m∠BCD = 2x = 50°

    m∠ADC = 21y = 105°

Property of a cyclic quadrilateral:   Sum of the opposite angles of a cyclic quadrilateral is 180°.

From the picture attached,

  ABCD is a cyclic quadrilateral.   m∠A = 26y°, m∠B = 3x°, m∠C = 2x° and m∠D = 21y°

By using the property of cyclic quadrilateral,

m∠A + m∠C = 180°

26y + 2x = 180

13y + x = 90 --------(1)

m∠B + m∠D = 180°

3x + 21y = 180

x + 7y = 60 --------(2)

Subtract equation (2) from (1),

(13y + x) - (x + 7y) = 90 - 60

6y = 30

y = 5

Substitute y = 5 in equation (1),

13(5) + x = 90

x = 90 - 65

x = 25

Substitute the values of 'x' and 'y' to get the measures of the angles,

m∠DAB = 26(y) = 180°

m∠ABC = 3x = 75°

m∠BCD = 2x = 50°

m∠ADC = 21y = 105°

         Therefore, values of the variables will be,

                            x = 25, y = 5

                            m∠DAB = 26(y) = 180°

                            m∠ABC = 3x = 75°

                            m∠BCD = 2x = 50°

                            m∠ADC = 21y = 105°

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Related Questions

A police officer recorded the speeds of 100 cars in a 50-mile-per-hour zone. The results are in the box plot shown. How many cars were going between 40 and 48 miles per hour?​ I know the answer but I need to know how to do it

Answers

Answer: 25 cars

Step-by-step explanation:

This is a box plot and it is a useful graph for showing the minimum, maximum, median and quartile values of a data distribution.

The box you see in the middle is the Interquartile range. In other words, the first line on the box is Q1 and the line at the end of the box is Q3.

The line in the middle of the box is the median or Q2.

The distance between Q1 and the median is 25%.

The number of cars between 40 and 48 miles per hour is therefore 25% of the total.

= 100 * 25%

= 25 cars

Answer:

25 cars

Step-by-step explanation:

Took the diagnostic

The first lap of an auto race is 2,500 meters. This is 10% of the total race distance. What is the total race distance?

Answers

Answer:

25,000

Step-by-step explanation:

.10(x) = 2,500

X = 2,500/(.10)

X=25,000

The length of the total race track is 25000 meters.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Let, 'x' be the total distance.

Therefore, From the given information 10% x is 2500 meters, This can be numerically expressed as,

(10/100)×x = 2500.

0.1x = 2500.

x = 25000.

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If f(x) = 4x^3 + 5, then what is the remainder when f(x) is divided by x-3?

Answers

Answer:

4, 5 is the point and I don't think there is a remainder

Step-by-step explanation:    

The remainder when f(x) = 4x³ + 5 is divided by x - 3 the remainder is 113.

What is a factor of a polynomial?

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given,  f(x) = 4x³ + 5 now dividing f(x) by x - 3 = 0 ⇒ x = 3 is the same as replacing x with 3 in f(x).

∴ f(3) = 4(3)³ + 5.

f(3) = 4(27) + 5.

f(3) = 108 + 5.

f(3) = 113.

So the remainder when f(x) = 4x³ + 5 is divided by x - 3 the remainder is 113.

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One batch of cookies requires two eggs and two and a half cups of flour. How many cups of flour are needed to make three and a half batches of Cooke's?

Answers

Answer:

7 1/2

Step-by-step explanation:

please help nobody's been answering this is urgent!!!

find the value of x and y

Answers

Answer:

Step-by-step explanation:

Set 5x+6 equal to 7x+4 and solve for x

x=1

11+y+6=180

y=180-17 which you know

evaluate the expression x+4x-3+3x^2-2x when x = 5

Answers

Given:

The expression is

[tex]x+4x-3+3x^2-2x[/tex]

To find:

The value of given expression when x=5.

Solution:

We have,

[tex]x+4x-3+3x^2-2x[/tex]

Substituting x=5 in the above expression, we get

[tex]=(5)+4(5)-3+3(5)^2-2(5)[/tex]

[tex]=5+20-3+3(25)-10[/tex]

[tex]=5+20-3+75-10[/tex]

On further simplification, we get

[tex]=(5+20+75)+(-3-10)[/tex]

[tex]=100+(-13)[/tex]

[tex]=100-13[/tex]

[tex]=87[/tex]

Therefore, values of the given expression at x=5 is 87.

y 1
6
4
2
-4
-2
2
4
-2
-4
V
-6
What are the coordinates of point V?
O A. (3,4)
O B. (3,-4)
Oc. (-3,-4)
OD. (-4,-3)
O E. (-4,3)

Answers

answer: i rlly don’t know lol sorry for wasting ur time but the answer it 4

PLZ ANSWER TvT Maria's Grocery store buys grapefruit at a cost of 5 for $1. They sell at a price of 5 for $3. How many must they sell to make a $10 profit.?

Answers

Answer:

if you want the exact number that will be 3.3 but if you want it rounded it will be 4

1/6 x 8 + 2/3 x 9/8 =

Answers

Answer:

A

Step-by-step explanation:

do the multiplication first

Answer:

25 /12

Step-by-step explanation:

its the first one.

I did it on math_way

HELP DUE in 20 MIN
m∠10 =

Answers

Answer:

Angle 1, 4, 5,7,10,12,13,15 : 133°

Angle 2,3,6,8,9,11,14,16 :47°

Step-by-step explanation:

Answer:

133°

Step-by-step explanation:

∠10 = 180° - ∠9∠9 ≅ ∠6 ≅ ∠2 = 47°

So

∠10 = 180° - 47° = 133°

31 29 33 37 43 38 33 40
What is the mode of these numbers

Answers

The mode is 33 because it shows the most.

Answer:

33 is the mode of these numbers.

Step-by-step explanation:

The only number which appears multiple times is 33, so it is the mode.

I hope it helps ❤❤

can i have help combine liked terms :
r ( r+s ) -2 r ^2 +rs-s( s-3r )

Answers

Answer:

-3r^2+5r+4rs-s^2

Step-by-step explanation:

expand the brackets

and collect like terms

find the equation of the line. use exact numbers.

Answers

Your equation is y=-2x+5. First find the slope by plugging two points into the slope equation y2-y1 over x2-x1. This then gets you the slope of -2. Then find the point where x=0, which then gets you your y intercept or the b value in the equation. With the slope as m and y intercept as b, we can find that in the equation y=mx+b with the new values plugged in y=-2x+5.

Find the value of x.

Answers

9514 1404 393

Answer:

  (b)  48

Step-by-step explanation:

In this geometry, the altitude (x) is the root of the product of the segments of the hypotenuse.

  x = √(36·64) = √36×√64 = 6×8

  x = 48

_____

All of the triangles are similar, so the ratios of corresponding sides are the same.

  short side/long side =  x/64 = 36/x

  x^2 = (64)(36) . . . .  as above

I posted one question at parts pls help me answer it!!!!!

Answers

Answer:

i'll try my best to help !!

I’ll look for it and try to answer it :)

An equation is shown 3/5k=225. what is the value for k that makes the equation true?

Answers

Answer:

.0024

Step-by-step explanation:

3 = 225 x 5k

3/255 = 5k

5k = 0.117

k=0.0024

Alexander invested $320 in an account paying an interest rate of 1.5% compounded annually. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 18 years?

Answers

Answer:

$406.40

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 1.5%/100 = 0.015 per year.

Solving our equation:

A = 320(1 + (0.015 × 18)) = 406.4

A = $406.40

I need help. Please anyone help :D

Answers

Answer:

I say 1. and 2

Step-by-step explanation:

Have a good day :3

If m<10=75, m<7=46 and m<16=136, find the measure of each missing angle.

Answers

Answer:

See answers below:

Step-by-step explanation:

Using corresponding angles properties, angles opposed by the vertex, and supplementary angle properties, we get:

<1 = 75 degrees

<2 = 105 degrees

<3 = 44 degrees

<4 = 136 degrees

<5 = 44 degrees

<6 = 90 degrees

<7 = 46 degrees

<8 = 75 degrees

<9 = 105 degrees

<10 = 75 degrees

<11 = 59 degrees

<12 = 46 degrees

<13 = 75 degrees

<14 = 105 degrees

<15 = 44 degrees

<16 = 136 degrees

<17 = 44 degrees

<18 = 136 degrees

What is the value of h(2)? -2 -1 0
3

Answers

Answer:

The answer is 0

Step-by-step explanation:

Or c on edge.

WILL GIVE BRAINLIEST TO CORRECT ANSWER!!

Answers

Answer:

Intersecting: y = 8x + 10, y = -1/8x + 10 (f, g)

Parallel: x + y = 5, 7x + 7y = 14 (eq2, eq3); y = 2x + 8, -y = -2x + 6 (p, eq4)

Perpendicular: y = 8x + 10, y = -1/8x + 10 (q, r); 4x + 10y = 6, y = 5/2x + 7 (eq1, h).

None go under Same.

Step-by-step explanation:

In case you're confused:

The line labeled f goes with g. The line labeled q goes with r.

(f, g) is red.

(eq1, h) is orange.

(eq2, eq3) is yellow.

(p, eq4) is green.

(q, r) is blue.

All lines are in the attachment below.

I'll give brainliest to whoever answers first

Answers

Answer:

5) 6

6)-70

7)5

8)-295

9)1

10)4

Step-by-step explanation:

5)10-4=6

6)-3(-5)^2+5=-70

7)-3(0)^2+5=5

8)-3(10)^2+10=-295

9)1/5=0.2

0.2(-5)+2=1

10)0.2(10)+2=4

Decimal or fraction form round all the way!

Answers

Answer:

The answer to the question provided is

[tex] \frac{1}{4} [/tex]

What is the solution to the system of equations?
4x-5y=-2
X=15-4y

Answers

34. This is because you can just use a calculator

If M is the midpoint of AB, A(-3, 4) and M(-1, 2) find the coordinates
of B.

Answers

Answer:

B(1,0)

Step-by-step explanation:

The midpoint of (a,b) and (c,d) is ((a+c)/2,(c+d)/2)

Essentially, you just average the x and y values.

So, the average of -3 and b_x is -1.

The average of 4 and b_y is 2.

So x=1 and y=0

Doing an Algebra assignment that is due today, I have multiple problems I need help with, I'm posting 5 questions at a time since I can't post them all.

Answers

Answer:

1) 8x^2-10x-7

2) 30[tex]x^{9\\}[/tex]- 60[tex]x^{5}[/tex]

3) -10y^6 - 45y^5 + 25y^4

4) 30x^9 - 60x^5

5) 30x^9 - 60x^5

Step-by-step explanation:

1) (2x+1)(4x-7), we will multiply each term from the first parenthesis against every term in the second.

2x*4x = 8[tex]x^{2}[/tex], 2x*-7 = -14x

1(4x-7) = 4x-7.

8x^2-14x+4x-7 = 8x^2-10x-7

2) 10[tex]x^{5}[/tex](3x^4-6)

10x^5(3x^4) = 30x^9

10x^5(-6) = -60x^5

30[tex]x^{9\\}[/tex]-60[tex]x^{5}[/tex]

3) -5y^4(2y^2+9y-5)

-5y^4(2y^2) = -10y^6

-5y^4(9y) = -45y^5

-5y^4(-5) = 25y^4

-10y^6 - 45y^5 + 25y^4

4) 10x^5(3x^4 - 6)

10x^5(3x^4) = 30x^9

10x^5(-6) = -60x^5

30x^9 - 60x^5

5) (3y - 5z)(8y - 3z) =

3y*8y = 24y^2

3y*(-3z) = -9yz

-5z(8y) = -40yz

-5z(-3z) = 15z^2

24y^2 + 15z^2 - 49yz

what is the GCF of 6n^3, 18n^4, 36n^2

Answers

Answer:

6n^2 or 6n squared

Step-by-step explanation:

To find the greatest common factor we have to first find out all the factors for every other number.

Factors - Numbers you can multiply to find that number.

For example, we have 6n^3 what numbers can be multiplied to find that number?

Write an expression of the perimeter of the rectangle.
help asap

Answers

25x-10+20

ur supposed to add all the like terms and so any number u see next to an “x” or an “x” (a variable by itself equals one) so 10x+6x+8x+x=25. then 4y+4y+y+y= 10. then the rest is self explanatory. I hope u get an A lol.

16c^2+ 18c+5
Factor Each Trinomial.

Answers

Answer:

(2c +1)(8c+5)

Step-by-step explanation:

I got my answer based off how i understood the problem.

The discount on a pair of socks is 15%. The socks are on sale for $17. What was the original price of the socks?

Answers

Answer:

$19.55

Step-by-step explanation:

17*0.15=2.55

17+2.55=19.55

Answer:

$20

Step-by-step explanation:

The original price is p.

Now, a discount of 15% is = 100%-15% = 85% of the original price.

0.85p = 17

p = 17/0.85

p = 20

$20

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