Mathematics High School

Trapezium ABCE is made from parallelogram ABCD
and isosceles triangle ADE.
A
B
106°
E
D
Work out the size of angle AED.

Trapezium ABCE Is Made From Parallelogram ABCDand Isosceles Triangle ADE.AB106EDWork Out The Size Of

Answers

Answer 1

Answer:

Angle AED=32 degrees

Step-by-step explanation:

angle ADC=angle ABC because parallelogram

then angle ADC=106 degrees

angle EDA is supplementary to angle ADC (ADC+EDA=180 degrees)

then angle EDA=74 degrees

because triangle ADE is isosceles, angle EAD=angle EDA

since the total angles in a triangle =180 degrees,

Angle AED=180-2(74)=32 degrees

Answer 2

Applying the definition of isosceles triangle and parallelogram, the size of angle AED is: 32°.

Facts about Parallelogram and Isosceles TriangleThe opposite angles in a parallelogram have equal angle measures.The two angles that are directly opposite the two equal sides in an isosceles triangle are congruent.

Thus:

m∠ABC = m∠ADC = 106° (opposite sides of parallelogram)

m∠ADC = 106°

m∠ADE = 180 - 106 = 74°

m∠AED = 180 - 2(74) (isosceles triangle)

m∠AED = 32°

Thus, applying the definition of isosceles triangle and parallelogram, the size of angle AED is: 32°.

Learn more about parallelogram on:

https://brainly.com/question/3050890

Related Questions

Qué características tiene un rombo

Answers

Answer:

Un rombo es cualquier paralelogramo con cuatro lados congruentes, cuatro ángulos y cuatro vértices. Tiene la forma de un diamante y una cometa

Mary baked 56 cookies. She had to bake 300 cookies in order to win $400. She made 72 more cookies. Then, she lost 34 of them. How many cookies does she have now? How many more cookies does she need in order to win $400? Show your work.


PLSSS HELP!!!

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Answers

Answer:

56+72=128 cookies

128-34=94 cookies

Mary has 94 cookies

300-94=206 cookies she still needs to bake in order for her yo win $400

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Roman was studying the life of fish, frogs, and turtles in
Doyle Park. In two hours, he counted 4 more frogs than
turtles. The number of fish he counted was twice the
number of turtles. In total, he counted 68 animals. How
many fish were there?
how many frogs were there? how many turtles were there?

Answers

Answer:

16 turtles

20 frogs

32 fish

Step-by-step explanation:

let 't' = # turtles

let '4 + t' = # frogs

let '2t' = # fish

t + 4 + t + 2t = 68

4t + 4 = 68

4t = 64

t = 16 turtles

4 + 16 = 20 frogs

2(16) = 32 fish

The figure shows the dimensions of a city park in feet.

Part A: What is the area of the park?

A.1,088 ft2

B.1,188 ft2

C.1,208 ft2

D.968 ft2

Answers

c ............................
B 1,188 ft2 i think

There are 5280 feet in one mile . How many feet are in 6 miles?

Answers

Answer:

31680

Step-by-step explanation:

5280x6=31680

in return can u pls answer myquestion?

the question: how many cubes with a dimension of 3 inches fit in a rectangular prism with dimensions of 2 1/2 feet by 1.25 feet

What number has a absolute of 10?

Answers

Answer:

10

Step-by-step explanation:

Answer:

10, -10, [tex]\sqrt{100} =10[/tex]

Step-by-step explanation:

id k if you are asking for the absolute value, but I hope this helps.

Nine boys share 4 pizzas equally.What fraction of a pizza does each boy get?

Answers

Answer:

4/9

Step-by-step explanation:

Solve for t. If the answer is a decimal, round to the nearest tenth.

Asking again please no answered it :(
More points this time tho

Answers

Step-by-step explanation:

By Pythagoras' Theorem,

t² = 13² - 12²

=> t² = 169 - 144 = 25

=> t = 5 (as t is non-negative).

Please help need done fast!

Answers

b 3 paper per min hope this helps

PLEASE HRY ILL MARK BRAINLIEST

give the equation of the line passing through the points (-2,-5)
and (1,-1/2)

Answers

The general equation of the line is 3x−2y−4

What is the slope of the graph of y=12x-19?

Answers

Answer

This equation is given in slope intercept form.

y = mx + b

m represents the slope, so which value in your equation will be the slope?

Step-by-step explanation:

y = mx + b

y = 12x + 19

m = ____

A refrigerated truck leaves a rest stop traveling at a steady rate of 56 mi/h. A car leaves
same rest stop 1/4 hour later following the truck at a steady rate of 64 mi/h. How long after the truck leaves the rest stop will the car overtake the truck? Write an equation and solve

Answers

Answer:

Step-by-step explanation:

T=56t and C=64(t-.25)

64(t-.25)=56t

64t-16=56t

8t-16=0

8t=16

t=2 hours

Find The value of x =

Answers

Answer:

x = 10

Step-by-step explanation:

5 / sin 30° = x / sin 90°

5 / (1/2) = x / 1

5 . 1 = 1/2 . x

5 = 1/2x

x = 5/1/2

x = 10/1

x = 10

8.
If A= {x:xis a factor of 72}
B= {x:%2x+3<2x-3).
C= {x:x<20} and A,B,Ccu.
Where u = {integers), list the
elements of AnBnc.
that small c is subset and the small n is intersection set​

Answers

Answer:

{2, 3, 4, 6, 8, 9, 12, 18}

Step-by-step explanation:

If A= {x: xis a factor of 72}

A = {2, 3, 4, 6, 8, 9, 12, 18, 36, 72}

If B= {x: 2x+3<2x-3).

-2x+3 <2x-3

-2x - 2x < -3-3

-4x < -6

x > 3/2

If

C= {x:x<20}

C = {-∞, 19}

The intersection of the sets AnBnc = {2, 3, 4, 6, 8, 9, 12, 18}

Note that intersection means all the elements common to the three sets

302.833 rounded to the nearest whole number​

Answers

Answer:

303

Step-by-step explanation:

Step-by-step explanation:

When rounding a decimal to the nearest whole number, we look at the tenths place. If it is {5,6,7,8,9} we round the ones place up. If it is {0,1,2,3,4} the ones place stays the same.

For 302.833, the tenths place is 8.

Therefore we round 302.833 up to 303.

The answer is 303.

Write the linear equation in slope-intercept form given the following:

(1, 4) ; slope=−2

Answers

Answer:

y = -2x + 6

Step-by-step explanation:

The y-intercept is where the line goes through the y-axis. So, you'd want to find the value of y when x is 0.

arla and Benicio work in a men’s clothing store. They earn commission from each suit and each pair of shoes they sell. For selling 3 suits and one pair of shoes, Carla has earned $47 in commission. For selling 7 suits and 2 pairs of shoes, Benicio has earned $107 in commission. How much do the salespeople earn for the sale of a suit? for the sale of a pair of shoes?

Answers

They earn $13 for the sale of the suit and $8 for the sale of the shoes.

Aaliyah wants to create snack bags for a trip she is going on. She has 8 granola bars and 2 pieces
of dried fruit. If the snack bags should be identical without any food left over, what is the greatest
number of snack bags Aaliyah can make?

Answers

Answer:

4

Step-by-step explanation:

8÷2=4

hope it helps

brainliest plz

please help, it's due really soon!

Answers

Answer:

Ok so you have to figure out what is the input, output, y-intercept (b), slope (m), and equation.

First, input is the x. Looking at the graph.

Input : 0, 10, 20

Second, output is the y. Looking at the graph.

Output : 20, 30, 40

Third, y-intercept is the b in the equation of y = mx + b. Looking at the graph.

Y-intercept (b) : 20

Fourth, slope is the m in the equation of y = mx + b. Looking at the graph.

Slope (m) : 1/2

Fifth, you have to find the equation in the form of y = mx + b. Looking at the graph.

Equation : y = 1/2x + 20

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PLEASE ANSWER ALL QUESTIONS 69 POINTS WILL MARK BRAINLIST

Answers

Answer:

See below

Step-by-step explanation:

Proportional relationship formula is:

y = kx

a) Use point (1, 3.5) to find k:

3.5 = k*1k = 3.5

b) Unit rate is:

cm per min

c) Point (8, 28) indicates:

Water level of 28 cm after 8 min

d) x = 20, y =?

y = 3.5(20) = 70 cm

Mrs. Rogers sold 48 out of 80 crafts at the fair. What percent of her crafts did she sell? ~Plz answer like ASAP!!thank you :)) ~

Answers

Answer:

38.4

38.4 is 48% of 80

Step-by-step explanation:

What is 48% of 80?

Y is 48% of 80

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 48% * 80

Converting percent to decimal:

p = 48%/100 = 0.48

Y = 0.48 * 80

Y = 38.4

What is 3.8% of 250?​

Answers

Answer:

20

Step-by-step explanation:

8% × 250 =

(8 ÷ 100) × 250 =

(8 × 250) ÷ 100 =

2,000 ÷ 100 =

20;

Answer:

3.8%×250=

9.5

so the answer is 9.5

For one acute angle θ of a right triangle, tan θ =2/[tex]\sqrt{x} 5[/tex]
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Simplify radicals.

Answers

Step-by-step explanation:

hope this much is ok

___ welcome____

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Answers

Answer:

your answer should be 24%

Step-by-step explanation:

Hope this helps :)

%24

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Answers

Answer: 35x is the answer

Step-by-step explanation:

5x + 30x

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Answers

Step-by-step explanation:

I am not sure about this question sry but u can try asking a tutor u don't need to use any points

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Answers

90 degrees is your answer

Steve had 48 chocolates but decided to give 8 chocolates to each of his coworkers,
How many chocolates does Steve have left?
Wite your answer as an expression
chocolates

Answers

Answer:

48 - 8c

Step-by-step explanation:

let c be the number of coworkers

48 - 8c would be the expression because it starts with 48 and for every coworker 8 is subtracted.

Answer:

n = 48 - 8x

Step-by-step explanation:

n = how many chocolates Steve has left.

x = how many coworkers

Can anyone help me;(

Answers

Answer:

Use "photo math."

Step-by-step explanation:

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