calculate the size of angle AEF

Calculate The Size Of Angle AEF

Answers

Answer 1

Answer:

Accuate Angel 230 digre

Answer 2

Answer:

90 degrees

Step-by-step explanation:

The sum of the measures of interior angles in a quadrilateral is 360 degrees. A quadrilateral is any shape that has 4 sides. ABCD is a square, and squares have 4 sides, so the sum of the angles inside of the square will be equal to 360. A square has 4 angles, each with equal measure, so to find the measure of one angle, divide 360 by 4: 360/4=90. Each angle in a square measures 90 degrees.Triangle DEF is an equilateral. This means that each side is equal, but it also means that each angle will be equal too. The sum of the measure of interior angles in a triangle is 180 degrees, and a triangle has 3 angles, therefore you can find the measure of each angle in an equilateral by dividing 180 by 3: 180/3=60. Each angle in an equilateral triangle measures 60 degrees.The measure of a straight line is always 180 degrees. CDF is a straight line, and it is made up of 3 angles:

-Angle CDA

-Angle ADE

-Angle EDF

Since the measure of CDF has to be 180 degrees, the measures of angles CDA, ADE, and EDF must add up to 180.Angle CDA is an angle of a square, so it is equal to 90 degreesAngle EDF is an angle of an equilateral triangle, so it is equal to 60 degrees.The angles must add up to 180, so 90+60+ADE=180You can subtract 90 and 60 from 180 to find the measure of ADE: 180-90-60=30The question tells us that triangle ADE is isosceles. There is a theorem called base angles theorem, and it states that if two sides of a triangle are equal in length, then the two angles opposite from them will be equal in measure. Using this theorem, we can find that the measure of angle ADE is equal to the measure of AED. We already found out that ADE is 30 degrees, so AED is also 30 degrees. But the angle we are looking for is AEF:AEF is made up of angles AED and DEF, so the measures of angles AED+DEF=AEF. DEF is part of the equilateral triangle, so we know it is 60 degrees. We already found that AED is 30 degrees, so add 30 and 60 degrees: 30+60=90.  AEF is 90 degrees.

Related Questions

Find the length of side x I simplest radical form​

Answers

Answer:

Option A

Step-by-step explanation:

By applying Pythagoras theorem in ΔABC,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

AC² = AB² + BC²

AC² = 6² + 5²

AC = [tex]\sqrt{61}[/tex]

Similarly, by applying Pythagoras theorem in ΔACD,

AD² = AC² + CD²

(10)² = [tex](\sqrt{61})^2[/tex] + x²

x² = 100- 61

x² = 39

x = √(39)

Option A will be the answer.

I NEED HELP WITH MATH CAN ANYONE HELP!!!

Answers

Answer:

ummmmmmmmmm I can try c:

Answer:

YES MAM , WHAT SEEMS TO BE THE PROBLEM < BECAUSE I DONT SEE ONE

Step-by-step explanation:

Find the area of the square whose side is 14cm?GUYS??​

Answers

Answer:

196 cm

Step-by-step explanation:

Area=  L×W

Area = 14×14 = 196 cm

Answer and Step-by-step explanation:

To find the area, simply times the 2 sides together.

14 times 14 is 196.

The area of a square with sides 14cm is 196cm.

#teamtrees #PAW (Plant And Water)

“twice the sum of a number and 6 is more than 84”

i need to write this as an inequality.

Someone please help

Answers

Step-by-step explanation:

2x + 6 > 84

2x > 78

x > 39

is the answer

Find the area of the composite shape below.

Answers

Answer: 1106.13 (2 decimal places)

Step-by-step explanation:

To work out the area of this composite shape you would have to put the two semi circles together to form a circle and work out the area of the circle (they have provided the radius which is 11in), then work out the area of the rectangle separately.

The formula for the area of a circle is πr^2 (pi x radius squared).

So when you put the numbers in the formula the area is πx11^2=380.1327111

Then to work out the area of the rectangle you would do base x height.

The height of the rectangle is the same as the diameter of the circle (the diameter is double the radius of a circle) which is 22in.

To find the area of the rectangle you do 22x33=726

So then to find the area of the whole shape you would have to add the area of the circle and the rectangle together.

726+380.1327111=1106.13 (2 decimal places).

When x= 1, then y= 1

Answers

Answer:

When x = 1, then y = -2

Fred drew 2/3 on a number line. Sara broke her number line into 6 equal pieces but found the same fraction on the number line as Fred. What fraction did Sara make?

Answers

Answer:

4 / 6

Step-by-step explanation:

Fred fraction = 2/3

Sarah formed a fraction by dividing her number line into 6 equal pieces. This is given as;

x / 6

Since her fraction is equal to that of fred, we have;

x / 6 = 2 / 3

x = 6 * 2 / 3 = 4

Sarah Fraction = 4 / 6

4. Which of these is equal to sin(70°)?
a. cos(1109)
c. cos(20°)
b. cos(160)
d. cos(709)

Answers

C because of when you divide and multiple, the number and then you will get your answer

Which of the following describes a scenario in which a chi-square goodness-of-fit test would be an appropriate procedure to justify the claim?


A statistician would like to show that one geographical location has a higher proportion of dogs that shed than another geographical location has. The statistician has two independent random samples of dogs from two different geographical locations and has recorded the proportion of dogs that shed in each sample.

A statistician would like to show that one geographical location has a higher proportion of dogs that shed than another geographical location has. The statistician has two independent random samples of dogs from two different geographical locations and has recorded the proportion of dogs that shed in each sample.
A

A principal would like to investigate whether more than 50% of the students in a local high school eat in the school cafeteria. The principal has a random sample of individuals within the school and records the proportion of the students who eat lunch in the school cafeteria.

A principal would like to investigate whether more than 50% of the students in a local high school eat in the school cafeteria. The principal has a random sample of individuals within the school and records the proportion of the students who eat lunch in the school cafeteria.
B

A campaign manager would like to show that the distribution of individuals within several social economic categories is different than what a newspaper reported. The campaign manager has a random sample of potential voters in a large city and records the number of individuals within each of the categories.

A campaign manager would like to show that the distribution of individuals within several social economic categories is different than what a newspaper reported. The campaign manager has a random sample of potential voters in a large city and records the number of individuals within each of the categories.
C

A manager of a water treatment plant would like to investigate whether there is a relationship between the amount of chemical used and the number of bacteria present in the water treated at the plant. The manager measures the level of bacteria from tanks at the facility that each received a different level of chemical treatment.

A manager of a water treatment plant would like to investigate whether there is a relationship between the amount of chemical used and the number of bacteria present in the water treated at the plant. The manager measures the level of bacteria from tanks at the facility that each received a different level of chemical treatment.
D

City officials would like to estimate the average price of gas in their city. The officials have a random sample of gas prices at several gas stations within their city limits.

Answers

Answer:

A campaign manager would like to show the distribution of individuals...

Step-by-step explanation:

goodness of fit can be used to compare observed and expected counts. The newspaper report would be the expected. The campaign manager's distribution is the expected.


(0,2), (3,3), (8,7), (2,2), (3,9)
Domain :
Range:​

Answers

Answer:

Domain: ( 0, 3, 8, 2 )

Range : (2, 3, 7, 9)

Step-by-step explanation:

There are 320 students in a school. The ratio of the number of boys to the number of girls is 3:2. When some new boys and girls are admitted, the number of boys increases by 8 and the ratio of number of boys and girls changes to 4:3. Find how many new girls are admitted.​

Answers

320/5=64
64 x 3 = 192 (number of boys in the beginning)
64 x 2 = 128 (number of girls in the beginning)
192 + 8 = 200 (boys now)
200/4=50
50 x 3 = 150
150 - 128 = 22 (amount of girls added)
Number of girls added: 22

Solve this system of equations. Show or explain your work.

3x+4y=35

y=-1/2x+8

Answers

Answer:

pOinTS lOlK

Step-by-step explanation:

Find the area of a circle with Radius 8 yd.
Use the value 3.14 forn, and do not round your answer.

Answers

Answer:

[tex]64\pi yd^{2}[/tex] or 201.062 [tex]yd^{2}[/tex]

Step-by-step explanation:

Area of a circle: [tex]\pi r^{2}[/tex]

Given:

r=8 yd

[tex]\pi[/tex]=3.14

[tex]\pi (8^{2})=64\pi[/tex]

=201.062 [tex]yd^{2}[/tex]

I hope this is correct and helps!

Three angles in a quadrilateral measure 58°, 77°, and 116°. What is the measure of the fourth angle?

Answers

Answer:

109

Step-by-step explanation:

Are 3x + 5 and 2x + 15 + x - 5 equivalent? Explain how you know.

Answers

Answer:

Step-by-step explanation:

No, as 15 + -5 OR 15 - 5 is not 5, it is 10.

Hope that helps!

Which of the following is a difference of cubes? x^6 + 27y^9 3x^9 - 64y^3 27x^{15} - 9y^3 125x^{21} - 64y^3

Answers

Answer:

D) 125x²¹- 64y³  

Step-by-step explanation:

A) x⁶ + 27y⁹ = (x²)³ + (3y³)³  - sum of cubesB) 3x⁹ - 64y³ - the first term is not a cubeC) 27x¹⁵ - 9y³ - the second term is not a cubeD) 125x²¹- 64y³ = (5x⁷)³ - (4y)³ - difference of cubes

Correct option is the last one

Answer:

D) 125x²¹- 64y³  

Step-by-step explanation:

A) x⁶ + 27y⁹ = (x²)³ + (3y³)³  - sum of cubes

B) 3x⁹ - 64y³ - the first term is not a cube

C) 27x¹⁵ - 9y³ - the second term is not a cube

D) 125x²¹- 64y³ = (5x⁷)³ - (4y)³ - difference of cubes

Correct option is the last one

A jar contains 660 beans. Of them, 440 are kidney beans and the rest are cranberry
beans. What is the ratio of kidney beans to all beans?

Answers

Answer:

Step-by-step explanation:

kidney beans : all beans

440:660 (simplify by dividing each by gcf which is 2^2(5)11=220)

2:3

Answer:

440:660 OR Simplified 2:3

Step-by-step explanation:

You already had the two numbers for the ratio, they added the cranberry beans in the sentence like that to confuse you and draw you away from the real answer. All you needed to do was arrange the numbers into a ratio, and simplify.

These problems are meant to to be confusing, so to stay away from the confusing parts, just reread them and you'll get it correct 24/7!

Hope you get this right.

What is the image point of (-8, -1) after a translation left 3 units
and up 4 units?

Answers

(-11,3) should be the point

Check out this app! It's millions of students helping each other get through their schoolwork. https://brainly.app.link/qpzV02MawO​

Answers

Answer:

wow its amazing...CONGRATIOLATION brainly...

Answer:

Nice..

___________________________________________________________

Ariana compró cierto número de sacos de azúcar por S/. 675 y luego los vendió por S/. 1 080, ganando S/. 3 por cada saco. ¿Cuántos sacos de azúcar compró?

Answers

Responder:

135

Explicación paso a paso:

Número de bolsas compradas = x

Costo total de compra = 675

Costo total de ventas = 1080

Beneficio por bolsa = 3

Por eso :

Beneficio total + costo total de compra = costo total de ventas

3x + 675 = 1080

3x = 1080 - 675

3 veces = 405

x = 405/3

x = 135

Se compraron 135 bolsas

Using the line ab name two line segments
Brainliest

Answers

Answer:

A. AC, CB

Step-by-step explanation:

The answer you have selected is correct because a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints. Thus the answer A is correct!

Hope this helps

All the love, Ya boi Fraser :)

Answer:

Give him brainliest!

Step-by-step explanation:

28.In the year 2006, the number of malaria patients admitted in the hospital of a state was 4375. Every year this number decreases by 8%. Find the number of patients in the year 2008?

Answers

Answer:number of patients in the year 2008 =3,703 Patients.

Step-by-step explanation:

Number of malaria patients admitted in the hospital of a state in 2006= 4375.

Number of malaria patients admitted in the hospital of a state in 2007 if there was Decrease by 8% in 2007

=  8% x 4375 =350

     4375-350=4,025 patients

Number of malaria patients admitted in the hospital of a state in 2008 since  there was Decrease by 8% in 2008

8% x  4,025.= 322

4,025-322=3,703 Patients.

what is the value of x.

Answers

Answer:

x=47

Step-by-step explanation:

180-121=59

180-(59+74)=47

Answer:

x = 47

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

121° is an exterior angle of the triangle, then

x + 74 = 121 ( subtract 74 from both sides )

x = 47

i need help besties

Answers

Answer:

Step-by-step explanation:

Area. of circle =πr²

Area. of circle =3×2×2

Area. of circle =12ft²

Help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

correspondence or alliance

Answer:

B

Step-by-step explanation:

What is the coefficient in the term 7x-8

Answers

Answer:About "Identify the terms and coefficients" Identify the terms and coefficients : A single variable or a constant or a combination of these as a product or quotient forms a term.

Step-by-step explanation:

Answer:

I think you forgot to put the picture

Step-by-step explanation:

but try this:

A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. Variables with no number have a coefficient of 1.


What is the value of x?
A. 5
B. 10
C. 13
D. 15

Answers

Answer:

C) x = 13

Step-by-step explanation:

(6x - 8) = 1/2(10x + 10)

6x - 8 = 5x + 5

reduce:

x = 13

A car was valued at $30,000 in the year 2009. By 2013, the car value had depreciated to $14,000. If the
car's value continues to drop by the same percentage, what will it be worth in 2020? Round to the
nearest dollar

Answers

Answer 8,000 it adds up

Tucker worked 5.5 hours on Saturday. He earns $7.20 per hour.
How much did he earn on Saturday?

Answers

Answer:

$39.6

Step-by-step explanation:

5.5 times 7.20 = $39.6

1. What's the probability that a respondent was a boy AND in year 8?

Answers

Answer:

8/18?

Step-by-step explanation:

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