Work out the size of AED. Work out x

Work Out The Size Of AED. Work Out X

Answers

Answer 1

Answer:

a). m∠AED = 70°

b). x = 10°

Step-by-step explanation:

a). Quadrilateral ABDE is a cyclic quadrilateral.

Therefore, by the theorem of cyclic quadrilateral,

Sum of either pair of opposite angle is 180°

m(∠AED) + m(∠ABD) = 180°

m(∠AED) = 180° - 110°

m(∠AED) = 70°

Since, ∠AED ≅ ∠EAD

Therefore, m∠AED = m∠EAD = 70°

b). By triangle sum theorem in ΔABD,

m∠ABD + m∠BDA + m∠DAB = 180°

110° + 40° + m∠DAB = 180°

m∠DAB = 180° - 150°

m∠DAB = 30°

m∠BAE = m∠EAD + m∠BAD

              = 70° + 30° = 100°

By angle sum theorem in ΔACE,

m∠EAC + m∠AEC + m∠ACE = 180°

100° + 70° + x° = 180°

x = 180° - 170°

x = 10°


Related Questions

Determine whether each piece of given information alone is sufficient to prove quadrilateral ABCD is parallelogram. Justify your answer. Yes/No? Reason... opposite side congruent, opposite angles congruent, opposite sides parallel, consecutive angles are supplementary, diagonals bisect each other, one pair of parallel and congruent sides, not enough information? (look at the image)

Answers

Answer:

Yes it is parallelogram because diagonals bisect each other.

please help thank you ​

Answers

Answer:

it might go like A= 12 B= 0 C = -6

help please for my assesment

Answers

Answer:

[tex]Ratio = 2 : 15[/tex]

Step-by-step explanation:

Given

[tex]Ratio = 8 : 60[/tex]

Required

Write in the simplest form

[tex]Ratio = 8 : 60[/tex]

Divide by 2

[tex]Ratio = 8/2 : 60/2[/tex]

[tex]Ratio = 4 : 30[/tex]

Divide by 2

[tex]Ratio = 4/2 : 30/2[/tex]

[tex]Ratio = 2 : 15[/tex]

The expression cannot be further simplified.

Please help me with math!

Answers

Answer:

if

c=(1,8)

and

y=(-3x + 1)

then

y=(-3 x 1 + 1)

=( -3 +1)

= -2

help me please i wish i can get somehelp

Answers

Answer:

29. [tex]\frac{1}{3}[/tex]

30. a) 32

b) Yes, the ratio will change 1 : 2.

Step-by-step explanation:

Question 29.

Given that:

Number of gold medals won by France = 11

Number of silver medals won by France = 9

Number of bronze medals won by France = 13

To find:

The ratio of gold medals won to the total number of medals won by France.

Solution:

First of all, we need to find the total number of medals won by France.

Total number of medals won = 11 + 9 + 13 = 33

The required ratio can be found as:

[tex]\dfrac{\text{Number of gold medals won}}{\text{Total number of medals won}}\\\Rightarrow \dfrac{11}{33}\\\Rightarrow \bold{\dfrac{1}{3}}[/tex]

Question 30:

Number of girls = 20

Ratio of boys to Ratio of girls = 3 : 5

a. Total number of students in the class?

First of all, we need to find the number of boys in the class then we will add the value to the number of girls to get the answer.

Let the number of boys = [tex]x[/tex]

As per the ratio, we can write:

[tex]\dfrac{3}{5 } = \dfrac{x}{20}\\\Rightarrow x = 12[/tex]

Total number of students = 20 + 12 = 32

b. Four number of boys and four girls are moved to other class.

Number of boys left = 12 - 4 = 8

Number of girls left = 20 - 4 = 16

New ratio = 8 : 16 = 1 : 2

Therefore, the ratio got changed to 1 : 2.

Which equation has infinitely many solutions?

Answers

Answer:

B. and C. both equations has infinitely many solutions.

Step-by-step explanation:

B. 3(4y-5)=12y-15 → 12y-15=12y-15C. 4(5y+2)=20y-6 → 20y+8=20y-6

In both the equations, value of y cannot be determined, so they have infinitely many solutions.

Solve 3 3/4 divided by 2/5

a.9 1/4
b.3 5/9
c.9 3/8
d.3 6/20

Answers

Step-by-step explanation:

3 [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{2}{5}[/tex]       Original problem

When dividing fractions, you want to turn the mixed numbers into improper fractions so....

[tex]\frac{15}{4}[/tex] ÷ [tex]\frac{2}{5}[/tex]      

Now you want to flip the second fraction ( so [tex]\frac{2}{5}[/tex] becomes [tex]\frac{5}{2}[/tex] ) and then you want to turn the division sign into a multiplication sign

[tex]\frac{15}{4}[/tex] × [tex]\frac{5}{2}[/tex]          

Now you multiply the numerators and multiply the denominators

[tex]\frac{15*5}{2*4}[/tex] = [tex]\frac{75}{8}[/tex]

Turn the improper fraction to a mixed number

75 divided by 8 is 9 with a remainder of 3 so your answer would be c. 9[tex]\frac{3}{8}[/tex]

The answer is c

I hope this helps!!!

The answer would be C. 9 3/8

Hope this helps

Have a great day

(If you want me to explain just ask)

An electronic advertising sign repeats a message every 9 seconds, day and night, for a week. How many times did the message appear on the sign

Answers

Answer:

75600

Step-by-step explanation:

find times per min (9 times/ 60 sec =7.5)

*60 min

*24 hr

*7 days

The number of times the message repeated is 86400.

It is required to find how many times did the message appear on the sign.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

An electronic advertising sign repeats a message every 9 seconds, day and night, for a week.

We have to find the number of seconds in a week:

T=3600*24*7

=604800 s

Since each message takes 7 seconds, the number of messages is

=604800/7

=86400.

Therefore , the number of times the message repeated is 86400.

Learn more about arithmetic here:

https://brainly.com/question/11559160

#SPJ2

ALGEBRAA!! HELP!!

Wich one is an identity, wich one is an equation, wich one is an expression and wich one is a formula?

3x+4y

3+2=5

A=bh

3x=15​

Answers

3x+4y. is expression

3+2=5. is an identity

A=bh is a formula

3x=15 is equation

1. Expression
2. Identity
3. Formula
4. Equation

brian has reduced his cholesterol level by 6% after his last check up. if his original level was 180,what is his approximate cholesterol level now

Answers

His cholesterol level should be 169.20

Daisy is given a scale drawing with the route to her campsite. The route to the campsite is 28 cm on the drawing. The scale on the drawing is 1 : 300. What is the actual length of the route?

Answers

Answer:

The actual length of the route is 8400.

Step-by-step explanation:

Given that:

Ratio of scale drawing = 1 : 300

It means that 1 cm on the scale drawing is equal to 300 in actual length.

We have to find the actual distance for 28 cm on the scale drawing.

Let,

x be the actual length of route.

This shows a proportional relationship.

1 : 300 :: 28 : x

Product of extreme = Product of mean

x = 300*28

x = 8400

Hence,

The actual length of the route is 8400.

class of 50 students dressed up 38% have white shirts. How many are wearing white shirts?

Answers

Step-by-step explanation:

☥ [tex] \underline{ \underline{ \text{Given} }}:[/tex]

Total number of students = 50Percentage of students who are wearing white shirts = 38 %

☥ [tex] \underline{ \underline {\sf{To \: find} }}: [/tex]

Total number of students who are wearing white shirts

☥ [tex] \underline{ \underline{ \sf{Solution} }} : [/tex]

⟹ [tex]\sf{38\% \: of \: 50} = \frac{38}{100} \times 50 = \boxed{ \sf{19}}[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer : 19}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

3. Expresa las siguientes multiplicaciones como Potencia:
a. 3x3x3x3x3x3=
b. 4x4x4x4=
C. 10 x 10 x 10 x 10 x 10 x 10 x 10=
d. 1x1x1x1x1x1x1x1x1x1x1x1 =

Answers

Answer:

Hmmm o yo tanbien hablo espanol hola! :D medas puntos gratis porfavor?

Step-by-step explanation:

porfaaaaa <3

Somebody please help me :(

Answers

Answer:

A, C, E

Step-by-step explanation:

Factory M makes 200 screwdrivers per hour.

Factory N makes 100 screwdrivers per hour.

Write the sentence as an equation.
37 equals b minus 125 no

Answers

Answer:

37=b-125

Step-by-step explanation:

you just convert the words into the symbol

equals =

minus -

20 + (-6 × 4) - 2



. pemdas ​

Answers

Answer:

-6

Step-by-step explanation:

Answer:

Pemdas:

PerenthesesExponentsMultiplication Division Addition Subtraction

Step-by-step explanation:

20 + ( - 6 × 4 ) - 2

20 + ( - 24 ) - 2

= - 6

7. In a soccer game, Andrew scores 3 fewer goals than Elsie. Elsie scores 9 goals. How many goals did Andrew score?

Complete the bar diagram and write an equation to match the story.
9️⃣

⬜️ 3️⃣

___ ⚪️ ___= ___

Answers

Answer:

Step-by-step explanation:

.7. In a soccer game, Andrew scores 3 fewer goals than Elsie. Elsie scores 9 goals. How many goals did Andrew score?

Does this system have NO SOLUTION or INFINITE SOLUTIONS? y = 2/3 x + 2 and -2x + 3y = 6

Answers

Answer:

yes

Step-by-step explanation:

hdghbjfbfcuvf ug iifibibibibcrtctcitbiutbuhucihihtv

find the pattern 1,3,1,9,27,1

Answers

Answer:

 add 2 subtract 2 add 8 multiply by 3 divide by 27

Please if ur good at pre calc stop to help with the first question please

Answers

Answer:

Step-by-step explanation:

The first thing you ought to do is find out what you are trying to get. Desmos is an ideal program to do that if you don't have a graphing calculator. Just search for Desmos. It is pretty obvious once you get there.  I've enclosed the graph to show you what it looks like.

Notice what happens around 5.  The graph splits because effectively, you are dividing by 0 when you put 5 into the denominator. The question arises why doesn't the same thing happen at 0. It should: There is a discontinuity but it is very tiny. So the domain numbers that you should graph are

-1   0™  1   2   3   4   4.5    4.8   5.3    5.4  6 7

™I wouldn't make 0 a part of this domain.  But you can indicate with a dot where the graph goes.

I haven't filled in the range numbers. That's your job. All you have to do is fill in the table with points. Or you can put them on the graph that I have enclosed just to see where they points belong.

A graph is not to convey accuracy. It is to show the shape of function in question.

This diagram represents 3 batches of light yellow paint. Draw a diagram that represents 1 batch of the same shade of light yellow paint. white paint (cups) yellow paint (cups) Show your work here.​

Answers

Answer: we need 3 cups of white paint and 5 of yellow paint if we want to make 1 batch.

Step-by-step explanation:

I suppose that each one of these squares represents one cup of the given color.

(the white squares represent the cups of white paint and the yellow squares represent the number of cups of yellow paint)

We know that for 3 batches of the paint, we need:

9 cups of white paint.

15 cups of yellow paint.

Now, if we only want to do one batch, then we should use one-third of these numbers of cups. (Because with that we make 3 batches, and one-third of 3 batches is one batch)

Originally, we use 9 cups of white paint, then for one batch we need one-third of 9 cups, this is:

9/3 = 3

Then we should use 3 cups of white paint.

And for the yellow paint, we originally use 15 cups, one-third of 15 is:

15/3 = 5

Then we should use 5 cups of yellow paint.

We can conclude that we need 3 cups of white paint and 5 cups of yellow paint if we want to make 1 batch.

This would be represented with 3 white squares and 5 yellow squares.

3(1 – 2x) > 3 – 6x
For x

Answers

Answer:

the statement is false for any value of x

Step-by-step explanation:

Answer:

[tex] \boxed{ x < 0}[/tex]

Step-by-step explanation:

[tex]if \to : \\ 3(1 – 2x) > 3 – 6x \\ then \to : \\ 3(1 – 2x) > 3 – 6x = \\ 3 - 6x > 3 - 6x = \\ - 3 + 3 > - 6x + 6x \\ 0 > x( -6 + 6) \\ 0 > x(0) \\ x < \frac{0}{0} \\ \boxed{ x < 0}[/tex]

10. A cell phone originally cost $550.79 and was marked up 5%. What is the new cost of the
cell phone?

Answers

Answer:

$578.33

Step-by-step explanation:

To get 5% of the original cost you need to multiply by 0.05

550.79 • 0.05 = 27.5395

27.5395 is 5% of 550.79

Since the price is marked up 5% you will need to add 27.5395 to 550.79

550.79 + 27.5395 = 578.3295

Then you will round your answer to 578.33

Fala wants to purchase a video game system that costs
$309. She earns $12 for each hour that she works at her
father's hardware store. How many hours will Fala need to
work to earn enough money to purchase the video game
system?

Answers

Answer:

26 hours or 25 hours and 45 min

Step-by-step explanation:

309/12= 25.75

each system of equations by SUBSTI
x + 3y = 9
4x – 2y = -6

Answers

Answer:

[tex]\huge\boxed{x=0,\ y=3\to(0;\ 3)}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}x+3y=9&\text{subtract }3y\ \text{from both sides}\\4x-2y=-6\end{array}\right\\\\\left\{\begin{array}{ccc}x=9-3y&(1)\\4x-2y=-6&(2)\end{array}\right[/tex]

Substitute (1) to (2):

[tex]4(9-3y)-2y=-6\qquad|\text{use the distributive property}\\\\(4)(9)+(4)(-3y)-2y=-6\\\\36-12y-2y=-6\qquad|\text{subtract 36 from both sides}\\\\-14y=-42\qquad|\text{divide both sides by (-14)}\\\\y=3[/tex]

Put it to (1):

[tex]x=9-3(3)\\\\x=9-9\\\\x=0[/tex]

Type the correct answer in the box. The area of the figure is _______ square units. 2 units 8 units. 6 units​

Answers

Answer:

  80 square units

Step-by-step explanation:

The area of the figure can be found by decomposing into parts whose area is easy to find, then adding the areas of those parts.

We choose to consider the figure to be composed of two congruent trapezoids and a rectangle.

__

Trapezoid area

Each trapezoid has bases of 6 units and 10 units, and a height of 2 units. Its area will be ...

  A = 1/2(b1 +b2)h

  A = 1/2(6 +10)(2) = 16 . . . . square units

__

Rectangle area

  The central rectangle has dimensions of 6 units by 8 units. Its area will be ...

  A = LW

  A = (8)(6) = 48 . . . . square unit

__

Total area

The total area is the sum of the areas of the two trapezoids and the rectangle:

  total area = 2(16) +48 = 80 . . . . square units

Solve. Draw a rectangular fraction model, and write a number sentence to show your thinking.
1/3 × 1 /3 =

Answers

Well, 1/3 times 1/3 is equal to 1/9.
Glad I could help! Also, can you mark my answer as the brainliest answer?
Thanks.

Condense each Logarithm
log 3 – log 8

Answers

Log (3/8)

Hope it helps

What is the domain of f(x) = 5^x - 7?

A.) {x| x > -7}
B.) {x| x < -7}
C.) {x| x > 0}
D.) {x| x is a real number}

Answers

Answer:

D

Step-by-step explanation:

I think the intervals can pretty much be infinite.

A proportion is an equation showing the equivalence of two ratios or rates true or false

Answers

The answer is true- A proportion is an equation showing equivalent of two ratios or rates
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