The sum of the interior angles of each polygon is 360°. In the diagram ABCD=HGEF find the values of x and y look at photo below

The Sum Of The Interior Angles Of Each Polygon Is 360. In The Diagram ABCD=HGEF Find The Values Of X

Answers

Answer 1

Answer:

x = 3

y = 60°

Step-by-step explanation:

The given parameters of the figures are;

The sum of the interior angles of each polygon (quadrilaterals) = 360°

Quadrilateral ABCD = Quadrilateral HGEF

∴ ABCD ≅ HGEF

Therefore;

Segment AB ≅ Segment HG, by Corresponding Sides of congruent polygons are congruent

∴ The length of segment AB = 3 ft. = The length of segment HG = x ft.

∴ 3 ft. = x ft.

x = 3

Similarly, we have;

∠A + ∠B + ∠C + ∠D = 360° Given

∠B = 100°, and ∠D = 70° Given

∴ ∠A + ∠C = 360° - (∠B + ∠D) = 360° - (100° + 70°) = 190°

∠A + ∠C = 190°

∠A ≅ ∠G and ∠C ≅ ∠E Corresponding angles of congruent polygons are congruent

∴ ∠A = ∠G and ∠C = ∠E By definition of congruency

∴ ∠A + ∠C = ∠G + ∠E = 190° by transitive property

∠G = (2·y + 2)°, and ∠E = (y + 8)° Given

∴ ∠G + ∠E = (2·y + 2)° + (y + 8)° = (3·y + 10)° = 190°

3·y = 190° - 10° = 180°

y = 180°/3 = 60°

y = 60°

Answer 2

The value of x and y are 3 feet and 72 degrees respectively

Angle in a quadrilateral.

From the given quadrilaterals, the sum of adjacent angles is 180 degrees.

Hence from figure;

m<E + m<F = 180m<B = m<F = 100

y + 8 + 100 = 180

y + 108 = 180

y = 180 - 108

y = 72degrees

Similarly;

m<D = mG = 70 degrees.

AB = GH = 3 feet

Hence the value of x and y are 3 feet and 72 degrees respectively

Learn more on Angle in a quadrilateral here: https://brainly.com/question/10975107


Related Questions

calvin has a fever with 38.5 degrees celsius, after taking medicine it drops by 2 degrees celsius. write the temperature of calvin after taking medicine​

Answers

Answer:

36.5 degrees Celsius

Step-by-step explanation:

38.5-2=36.5 degrees Celsius

36.5 degrees Celsius

1. I have a tablespoon, but I need a teaspoon. What do I do?

2. I have a 2 cup measuring cup and need 1 1/4 cup mil and 1/2 cup of vegetable oil. How far do I fill it up if I’m measuring together?


I only need help with these two, my brain went completely blank while solving these.

Answers

Answer:

Step-by-step explanation:

1 tablespoon = 3 teaspoons

You need to fill the tablespoon a third full. Not accurate, but that's what you have to do.

:::::

1¼ + ½ = 1¾

you need to fill the 2 cup measuring cup ⅞ full to get 1¾ cups.

1. Fill the tablespoon only 1/3 full
2. Fill it up 1 3/4 full

-7x-2y = -13
x – 2y = 11

Answers

-7x -2y= -13
-x + 2y= -11
-8x=-24
x=3

(3) - 2y= 11
-2y= 8
y= -4

(3,-4)

what is the value of n?
enter answer in box​

Answers

Answer:

6!

Step-by-step explanation:

chord x chord = chord x chord

(5) (n+8) = (7) (n+4)

i just started plugging in numbers

(5) (6+8) = (7) (6+4)

5 x 14 = 7 x 10

70=70

Gavin took a taxi home from the airport. The taxi fare was $7 plus an additional $0.65 per mile.
Gavin gives the driver a $3 tip when he arrives home. If Gavin paid a total of $62.65 with the tip,
what is the distance between the airport and Gavin's house?

Answers

Answer:

81

Step-by-step explanation:

$62.65-$7-$3=$52.65

Distance->52.65÷0.65=81

81 miles, he paid 7$ and 3$ for a total of 10$ not including the expense per miles, so you would subtract 10$ off of 62.65$ to get 52.65$ for how much he paid for the distance, and then divide 52.65$ by 0.65$ to get 81 miles

PLEASE HELP


Meryl buys new baseball equipment for $2000. The purchase made is with a credit card that has a 19% APR. Meryl makes a $150 payment monthly. How many months will it take Meryl to pay off the balance?

Answers

Answer:

It will take Meryl 15.09 months to pay off the balance.

Step-by-step explanation:

This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value or the cost of the new baseball equipment = $2000

P = Monthly payment = $150

r = Monthly interest rate = annual percentage rate (APR) / 12 = 19% / 12 = 0.19 / 12 = 0.0158333333333333

n = number of months it will take Meryl to pay off the balance = ?

Substitute the values into equation (1) and solve for n, we have:

2000 = 150 * ((1 - (1 / (1 + 0.0158333333333333))^n) / 0.0158333333333333)

2000 / 150 = (1 - (1 / 1.0158333333333333)^n) / 0.0158333333333333

13.3333333333333 = (1 - 0.984413453650536^n) / 0.0158333333333333

13.3333333333333 * 0.0158333333333333 = 1 - 0.984413453650536^n

0.21111111111111 = 1 - 0.984413453650536^n

0.984413453650536^n = 1 - 0.21111111111111

0.984413453650536^n = 0.78888888888889

loglinearize both sides, we have:

nlog0.984413453650536 = log0.78888888888889

n = log0.78888888888889 / log0.984413453650536

n = -0.102984160720249 / -0.00682245957075587

n = 15.0948729929724

Rounding to 2 decimal places, we have:

n = 15.09

Therefore, it will take Meryl 15.09 months to pay off the balance.

Which expression will give you the phase shift when the standard form is f(x)=asin(bx+c)+d
A. |a|
B. 2⁄|b|
C. -c/b
D. d

Answers

Answer:

1. A and C

2. C

3. B and E

4. B and C

Step-by-step explanation:

I just took the test 100%

Which is the right answer

Answers

Answer:

C

Step-by-step explanation:

Considering the length of the triangle, I believe the answer is c.

At the end of summer sale, an air conditioner that sold for $310 was discounted for 21%. What was the sale price?

Answers

Answer:

The sale price was $244.9.

Step-by-step explanation:

With the information provided, you can calculate the sale price by finding the 21% of the sale price and then, subtracting that amount from the sale price:

$310*21%=$65.1

$310-$65.1=$244.9

According to this, the answer is that the sale price was $244.9.

what is 4,390.44 + 8.399, and show work pls

Answers

Answer:

4,398.839

Step-by-step explanation:

4,390.440 + 8.399=x

.000+.009=.009

.04+.09=.13

.4+.3=.7

.009+.13+.7=0.839

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

4390+8=4398

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

4398+0.839=4398.839

HELP i’m having a hard time doing this, please

Answers

Answer:

<2 <4 <5

Step-by-step explanation:

When two lines are parallel and crossed by a transversal, the opposite interior angles are congruent.

Can someone Help please??????

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Parallel lines and Transvell.

We here are going to use the concept of Corresponding angles, co- interior angles and linear pair also Adjacent angles.

hence, we get as,

1.) x = 60° , y = 60°.....(vertically opposite angles)

2.) x = 120° , y = 120°

3.) x = 105° , y = 75°

4.) x = 140° and y = 40°

All are above done.

The value of (100%10)*5 is
0
10
50
500​

Answers

Answer:

50

Step-by-step explanation:

the step

100% * 10 =10 as 100% = 1

then mulitply 10 *5 = 50

You have deposited SEK 10,000 in an account that gives 2% interest every year. How much have you received in interest after two years?

Answers

Answer:

404

Step-by-step explanation:

2% of 10000 = 200 in the first year, setting your account to 10200

2% of 10200 = 204 in the second year, setting your account to 10404

In the total of 2 years, you received 404 extra

Answer:

Deposite amount (P) = 10000

Interest ( R)    = 2%

Years (T) = 2

Formula

S.I =PRT÷100

S.I =10000×2×2÷100

S.I =40000÷100

S.I =400

You have received interest after 2 years =400

Step-by-step explanation:

¿cuales son las funciones de sunass, osinergmin y osiptel?

Answers

Answer:

la verdD no c

Step-by-step explanation:

pero tu pon lo q creas nadie es perfecto

pls help with this question

Answers

Answer: first answer choice

Step-by-step explanation:

10
Tara is playing a party game in which a tiny ball is
dropped into a rectangular box. To win the game, she
must guess where the ball will stop. What should she
guess to maximize her chances of winning?
scribes the likelihood of the ball
quare or rectangular shaped area?
square
circle
triangle
shaded area
4

Answers

Answer:

1. Shaded Area 2. Unlikely

Step-by-step explanation:

edge2021

the area of a rectangular lawn is 255 metre square if its length is 15 M find its perimeter​

Answers

Answer:

Step-by-step explanation:

width is 255/15=17

perimeter = 17*2+15*2=64

EZ

ill give brainliest!! just please help!!

Answers

Answer:

x=4

Other stuff:

Don't  if it is incorrect or if it was the answer. the image was blurry.

somebody help me please

Answers

Answer:

choice 2:    reflection. flipped over y axis

Step-by-step explanation:

Find the missing side of this right
triangle.
10
Х
15
x= [?]
Enter the number that belongs in the green box.
Enter

Answers

Answer:

Step-by-step explanation:

A^2+B^C^2 ////////A^2=10, and B^2=X^2, and C^2=15

10^2 + X^2 =15^2

100 + X^2 = 225(15^2 = 225)

-100 -100

= square root x= square root (125)

your answer will be 125

The value of the missing side of this right triangle is 11.18 units and the number that belongs in the green box is 125.

What is Pythagoras theorem?

Pythagoras theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of the square of other two legs of right angle triangle.

In the given image,

A right angle triangle is given.The length of the base is 15 units long.The length of the hypotenuse is 15 units long.

Using the Pythagoras theorem, the value of x can be found out as,

[tex]x^2+10^2=15^2\\x^2=15^2-10^2\\x^2=225-100\\x^2=125\\x=\sqrt{125}\\x=11.18[/tex]

Thus, the value of the missing side of this right triangle is 11.18 units and the number that belongs in the green box is 125.

Learn more about the Pythagoras theorem here;

https://brainly.com/question/343682

#SPJ2

please help me with the online work !!!!!!!!!!!!!! acellus

Answers

Answer:

240 cm², A = 300 cm², and 540 cm²

Step-by-step explanation:

1) The area of a parallelogram is A = bh, so:

A = (20)(12)

A = 240 cm²

2) Similarly, the area of a rectangle is A = bh, so:

A = (15)(20)

A = 300 cm²

3) The composite area is the sum of both the rectangle's area and the parallelogram's area, so:

240 cm² + A = 300 cm² = 540 cm²

Answer:

P=

20x12=240

R=

20x15=300

240+300

Step-by-step explanation:

look at this i think this boy likes me

Answers

Answer:

talk to him

Step-by-step explanation:

he def likes you lmazo

If anybody answers these questions I will get them brainliest and if somebody else verifies that it is the correct answer I can give you a thanks.

Answers

Part (a)

Answer: x^3 + 12x^2 + 47x + 60

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

Work Shown:

Let's say we have

L = length = x+5W = width = x+4H = height = x+3

To find the volume of the block, we multiply the length width and height.

So,

volume = (length)*(width)*(height)

V = L*W*H

V = LW*(x+3) .... replace H with (x+3)

V = LW*x + LW*3 .... distribute

V = Lx*(W) + 3L*(W)

V = Lx(x+4) + 3L(x+4) .... replace W with x+4

V = Lx^2 + 4Lx + 3Lx + 12L .... distribute

V = Lx^2 + 7Lx + 12L

V = x^2*(L) + 7x*(L) + 12*(L)

V = x^2*(x+5) + 7x*(x+5) + 12*(x+5) .... replace L with x+5

V = x^3 + 5x^2 + 7x^2 + 35x + 12x + 60 .... distribute

V = x^3 + 12x^2 + 47x + 60

x^3 + 12x^2 + 47x + 60 is the polynomial in standard form that represents the volume of the block.

=======================================================

Part (b)

Answer: 336 cubic feet

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

Work Shown:

We can plug x = 3 into the polynomial we found

V = x^3 + 12x^2 + 47x + 60

V = (3)^3 + 12(3)^2 + 47(3) + 60

V = 27 + 12(9) + 47(3) + 60

V = 27 + 108 + 141 + 60

V = 336

Or we could find the volume like this

V = L*W*H

V = (x+5)*(x+4)*(x+3)

V = (3+5)*(3+4)*(3+3)

V = (8)*(7)*(6)

V = 336

Either way, we get the same volume of 336 cubic feet.

Expand the following expression - 2(3x-7)

Answers

Answer:

-6x+14

Step-by-step explanation:

Simplemente debes

multiplicar

whats a reasonable estimate for 529 divided by 23 ( explain your anwser )

Answers

Step-by-step explanation:

First you divide 529 and 23. You can divide 5w9 by 23 in a fraction like this 529/23 on to Desmos scientific calculator or just 529÷23 on a calculator. If it is a decimal, round it up if the tenth, hundredth, or thousandth is 5, 6, 7, 8, 9 or round down if the number is 4, 3, 2, and 1. The answer to 529÷23 is 23. And if you estimate it, it'll be 20. The next part may be a bit confusing but if you estimate 23, you'll get 25.

Then you estimate 529 and 23, you'll get 530 and 20. And if you divide them, you'll get 26.5. And if you estimate that, you'll get 27. So that means is 2 or 7 off from the estimated from the equation 529÷23. So that means the reasonable answer is probably 25 or 27.

Tell me if I'm right or not, and I'm sorry if I'm wrong because I don't know what answer I explained in the two paragraphs I wrote is right or wrong.

What's 3/5 of 1/4?!!!!! Plz help me!

Answers

Answer:

2.4 or  [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

In the divisor (the second fraction) we flip the numerator and the denominator. This is known as the reciprocal and basically it means the reverse of the fraction. When we find the reciprocal, we also have to change the division sign to a multiplication sign.

Once you've flipped the second fraction and changed the symbol from divide to multiply, we can multiply the numerators together and the denominators together and we have our solution:

[tex]\frac{12}{5}[/tex]

HELP ME ASAP!!!!!!!!!!!!!!!

See question attached.

THE CORRECT ANSWER GETS THANKS, A STAR RATING OF EXCELLENT AND BRAINLIEST!!!!!!!!!!!!!!!!! GOOD LUCK!!!!!!!!!!

Answers

Answer:

-1

Step-by-step explanation:

First input = 4

Then we subtract 7 = 4 - 7 = -3

After that we divide 3 = - 3 ÷ 3 = -1

Hence, the output is -1 (Ans)

2/5 times 6 enter the product in simplest form.

Answers

Answer:

2 2/5

Step-by-step explanation:

2/5 x 6 = 12/5 = 2 2/5

Hope that helps!


Divide.
1.6 23.2
I need help I’m gonna cry.

Answers

Answer:

use a calculator

Step-by-step explanation:

its not that hard

The answer to your math question is 2/9

Convert them to fractions

Then divide the fractions by their reciprocal

Reduce them with their gcf which is 5

The. You would get the product of 2/29

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