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

what is the measure of Angle C

Answers

Answer:

59

Step-by-step explanation:

(2x-1)+(3x+1)+x=180

6x=180

x=30

((2×30)-1)= 59

The angle for c is 59

explain why 1/12 + 1/2= 7/12

Answers

Answer:

1/12 + 1/2 = 1/12 + 6/12 - 1+6/12 = 7/12

Step-by-step explanation:

hope this makes sense

Step-by-step explanation:

1/2 of 12/12 is 6/12.

So, this means: 1/12 + 1/2 = 7/12

                                      is

                          1/12 + 6/12 = 7/12

(6.3x10^3)x(7x10^-5) in standard form

please answer asap

Answers

Answer:

0.441

Step-by-step explanation:

[tex](6.3 \times 10^3) \times (7 \times 10^{-5} ) \\ \\ = 6.3 \times 7 \times 10^3\times 10^{-5} \\ \\ = 44.1 \times {10}^{3 - 5} \\ \\ = 44.1 \times {10}^{ - 2} \\ \\ = 0.441 [/tex]

In ∆PQR, if m∠P=x–12,m∠Q=5x–27, and m∠R=2x+3, write an equation and solve for x. x =

Answers

Answer:

∠p= 15°  ,  ∠q = 108°   , ∠r = 57°  Is the Answer

Step-by-step explanation:

, (x -12)° + (5x-27)° + (2x + 3)° = 180°

or,  8x° -36° = 180°

Or x =

So, x = 27°

∴ ∠P = 27° -12°  = 15°

 ∠q = (5 × 27)° -27° = 108°

 ∠r = (2 × 27)° + 3° = 57°

What is 5% of $37.95

Answers

$36.05
Hope I helped

Answer:

$1.90

Step-by-step explanation:

I think so sry if I'm wrong

boom roasted

sqrt(y^6) = -y^3
y=?

Answers

Answer:

they answer is y^6=−y^3

Step-by-step explanation:

Answer:

y^6=−y^3

Step-by-step explanation:

. Rewrite the expression by using the Distributive Property: 8(5x - 4) *

Answers

Answer:

40x-32

Step-by-step explanation:

First, you multiply 8 time 5x which equals 40x. Next, you multiply 8 times 4 which equals 32, so it is 40x-32

Need help ASAP Please

Answers

Answer:

The answer is d

Step-by-step explanation:

[tex]\frac{PQ}{JK}[/tex] ≅ [tex]\frac{PS}{JL}[/tex]

The answer would be D

Show all work:

Write the problem
Inverse operation
Solve
Check
Solve

m - 7 = -10

Answers

Answer:

m=-3

Step-by-step explanation:

m - 7 = -10

Ok so,

in order to get m by itself you just need to do the opposite of -7 which is +7 so you have to add 7 to both sides. On the left, both of the 7's cancel out and on the right -10 + 7 = -3. So, now it should look like this.

m=-3

To check you just need to plug in -3 into the question

Hope this helps! Have a good day

What ratio in simplest form. 36:12

Answers

Uh uh uh uh uh 3:1??

Please give the explanation and the answer

Answers

Answer:

b

Step-by-step explanation:

The vertices of a swimming pool are E(5, 5), F(5, 20), G(35, 20), and H(35, 5). The endpoints of a line that divides the pool into two sections are J(15, 5) and K(15, 20). The coordinates are measured in meters. What is the area of each section?

Answers

Answer:

Step-by-step explanation:

What are the roots of the equation?
10x2 - 6x + 4 = -3x

Answers

Answer:

(3 +/- i*sqrt(151) / 20 (no real solutions)

Step-by-step explanation:

10x^2 - 6x + 4 = -3x

Add 3x to both sides

10x^2 - 6x + 4 + 3x = -3x + 3x

10x^2 - 6x + 4 + 3x = 0

Add like terms

10x^2 - 3x + 4 = 0

We have to use quadratic formula to find the answers

For this equation, a = 10, b = -3 and c = 4

Note: +/- is plus or minus

Quadratic formula:

x = (-b +/- sqrt(b^2 - 4ac)) / 2a

x = (-(-3) +/- sqrt(-3^2 - 4(10)(4))) / 2(10)

x = (3 +/- sqrt(9 - 160)) / 20

x = (3 +/- sqrt(-151) / 20

x = (3 +/- i*sqrt(151) / 20

if there's a "-" sign inside a square root, it will give you an imaginary number.

Example:

-sqrt(9) = -3

sqrt(-9) = 3i (first you will ignore the "- " sign, then square the number. After finding the square root, take that '-' sign and turn it to an "i")

So for sqrt(-151), 151 is not a perfect square, so you will get a decimal number. Leave it as it is:

sqrt(151). We can't forget about the "-". Turn the minus into a sign.

It will be i*sqrt(151)

Imaginary numbers can't be simplified, so this is the answer.

(3 +/- i*sqrt(151) / 20

Which model shows ^3√64 = 4 ?

Answers

Answer:

if we carefully observe, left-bottom model contains 4 units on each side of the cube.

Therefore, we conclude that left-bottom model represents the [tex]\sqrt[3]{64}=4[/tex].

The correct model is attached below.

Step-by-step explanation:

Given the expression

[tex]\sqrt[3]{64}=4[/tex]

Cubing both sides

64 = 4³

Thus, the cube will have 4 units on each side.

Now, if we carefully observe, left-bottom model contains 4 units on each side of the cube.

Therefore, we conclude that left-bottom model represents the [tex]\sqrt[3]{64}=4[/tex].

The correct model is attached below.

A cat's heart rate beats about 130 beats per minute. A kitten's heartbeat can be as fast as 240 beats per minute. What fraction of the kittens heart rate is the cat's heart rate? Write the answer in simplest form

Answers

Answer:

13/24

Step-by-step explanation:

For every 24 heart beats of the kitten, the cats heart beats 13 times.

can you try to solve this plz

Answers

Answer:

50 dgrees

Step-by-step explanation:

staruight line is 180 so 180 minus 130 is 50

at a summer camp there is one counselor for every 5 campers.

Answers

Answer:

Then if there were 10 campers, there would be 5 counselors

Step-by-step explanation:

For every five campers, there is one counselor. Divide the number of campers by 2 two find how many counselors there are.

find the distance between the points (4,22) and (20,10)

Answers

Answer: (16,-12)

Step-by-step explanation: just cuz... just listen linda

Answer:

(16,-12)

Step-by-step explanation:

I used a graph to get this answer

plsss ined help. 1 what is the common difference and the next thre terms of the sequence. 4, 7, 10, 13, 16, ...

Answers

Answer:

They all increase at a rate of 3 (but aren't multiples) and the next 3 are 19, 22, 25

Step-by-step explanation:

To be honest, I don't know a better way to put this than to look at where it starts with 10 and it keeps progressing by 3.

What is problem number 2??

Answers

Answer:

QR

Step-by-step explanation:

The question is just trying to see if you can read the order of the lines.

PQ is the first 2 letters of PQR so XY has to be the first 2 letters of XYZ

Answer

YZ is the second and third letters of xyz.

QR are the 2nd and 3rd letters of PQR

Find the area of the triangle to the nearest tenth

Answers

Area= 8.1 11.3sin61
—————— = 40.03
2
40.03 cm

Which of these cannot represent the lengths of the sides of a right triangle?


A.)3 ft, 4 ft, 5 ft
B.)6 in., 8 in., 10 in.
C.)16 cm, 63 cm, 65 cm
D.)8 m, 9 m, 10 m

Answers

D because it is talking about meters hope this helps
D can’t represent the sides of a right triangle

Write and solve the equation to the model below. equation x = ? pls answer pls i need it for a test

Answers

3x+4=13. X=3. I’m positive

What is the exact area of a circle having diameter 3 in.?

Answers

Answer:

2.25π square inches

Step-by-step explanation:

Area = π[tex]r^{2}[/tex]

Diameter = 2r

So in this case, radius = 1.5 inches

Plugging that into the area formula produces the answer

Someone pls help and explain

Answers

Answer:

I can help with number 7 if you want

1. Equation

y=15x + 10

This is the answer because 10 intercepts on the y axis and it says $15 dollars each.

2. -2 so you do y-y and x-x. In this case its 4-2 and 2-3 which equals 2 and -1 . Which  divided equals -2.

Sorry I can't figure out the rest but I did do these ones.

The value of k for which x²-4kxy+4y²=0 represent a pair of straight is?​

Please help me!!

Answers

Answer:

k=1    k= -1

Step-by-step explanation:

hello :

here is an solution

A polygon has a perimeter of 18 units. It is dilated with a scale factor of 3/2 what is
the perimeter of its image?

Answers

Answer:

A

Step-by-step explanation:

Is the correct answer

The perimeter of the polygon after dilation = 27 unit

What is dilation factor?

The scale factor in a mathematical object's dilatation defines how much the picture will grow or shrink in relation to the original thing.

The perimeter of polygon = 18 unit,

Since, the scaling factor is 3/2,

So when the polygon is dilated, the perimeter of the polygon will also multiply with 3/2,

Perimeter of polygon = 18×3/2

                                    = 27 unit

The perimeter of the polygon after dilation = 27 unit

To know more about Dilation factor on:

https://brainly.com/question/13176891

#SPJ5

please help me with thisssss!!!!!!

Answers

Its either 2/5 or 4/5

Answer: The answer is 2/5  hope i helped! Mabye brainliest? ^^

Step-by-step explanation: if you can pick more than 1, pick 2/5 and 4/5

WILL GIVE BRAINIEST!!!!

Answers

Answer:

A

Step-by-step explanation:

I graphed it

Answer:

The answer is 6y - 7x = 48

If you graph it you will see it is 6y - 7x = 48

Hope this helps!

ABCD is a parallelogram, find x+ y

Answers

Answer:

Step-by-step explanation:

Here, ABCD is a parallelogram.

∠CBD=40

o

 and ∠BAD=80

o

.

AD∥BC and BD is a transversal.

∴  ∠ADB=∠CBD            [ Alternate angles ]

∴  ∠ADB=40

o

.

∴  y=40

o

.

In △ADB,

⇒  ∠ADB+∠DBA+∠BAD=180

o

⇒  40

o

+x+80

o

=180

o

⇒  120

o

+x=180

o

⇒  x=180

o

−120

o

⇒  x=60

o

We get, x=60

o

 and y=40

o

.

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