Point F is on the line CD. Find the measure of angle CFE

Answers

Answer 1

Answer:

∠ CFE and ∠ DFE are adjacent angles and are supplementary, sum to 180°

∠ CFE + 152° = 180° ( subtract 152° from both sides )

∠ CFE = 28°

Step-by-step explanation:

Answer 2

Adjacent angles share the common side as well as a common vertex (corner point), and they do not overlap. If we decompose the term "adjacent angles".

Adjacent angles:

Its common side and vertex will be shared by the adjacent angles.If the total of two angles equals 180°, they are said to be supplementary angles.A linear pair is created when two additional angles are next to one another. 180° is equal to the sum of two adjacent supplementary angles.

We have,

∠ EFD = 152°

∠ CFE and ∠ DFE are adjacent angles and are supplementary, summing to 180°

⇒ ∠CFE + ∠EFD = 180° (Linear pair)

⇒ ∠CFE +152° = 180°

⇒ ∠CFE= 180°-152°

⇒ ∠CFE= 28°

Find out more about the adjacent angles here:

brainly.com/question/12838185


Related Questions

Oscar has $30 from his allowance. There is a video game he wants to buy that costs $17.99, a chocolate bar that costs $0.79 and a remote control car that costs $8.99.

Answers

Answer:

[tex]Balance = \$2.23[/tex]

Step-by-step explanation:

Given

[tex]Allowance = \$30[/tex]

[tex]Video\ Game = \$17.99[/tex]

[tex]Chocolate\ Bar = \$0.79[/tex]

[tex]Remote\ Car = \$8.99[/tex]

Required [Missing from the question]

What is his balance after purchasing the items

First, calculate total cost of items

[tex]Total =Video\ Game + Chocolate\ Bar + Remote\ Car[/tex]

[tex]Total = \$17.99 + \$0.79 + \$8.99[/tex]

[tex]Total = \$27.77[/tex]

The balance is then calculated as:

[tex]Balance = Allowance - Total[/tex]

[tex]Balance = \$30 - \$27.77[/tex]

[tex]Balance = \$2.23[/tex]


A shirt costs $25. A sweater costs
3
as much as the shirt.
What is the cost, in dollars, of the sweater?

Answers

Answer:

28 dollars

Step-by-step explanation:

A shirt cost 25

a sweater Is 3 ”more”

so shirt= 25+ x        Sweater: 28

If the sweater costs 3 "times" as much as the shirt, it would cost $75. 3 x 25 = 75

a person's heart beats approximately 10^5 times each day. a person lives approximately 81 years. Work out an estimate for the number of times a person's heart beats in their lifetime

Answers

Answer:

29565x(10^5)

Step-by-step explanation:

heartbeat in 1 day=10^5.

we have 365 days in a year. it means that;

365x(10^5)=365x(10^5). this is heartbeat for 1 year.

then for 81 years,we multiply the value of 1 year heartbeat by 81.

=29565x(10^5).

Irina is watching a 3 hour movie on TV. The shaded part of the fraction model below represents the part of each hour that the movie is playing, and the unshaded part represents the time spent on commercials.

Answers

Answer:

3 * 5/6 = 15/6 hours

Step-by-step explanation:

From the figure attached :

The bar is divided into 6 equal parts ; with 5 of the sections being shaded and 1 left unshaded

The shaded represent the actual playing time

Unshaded portion = time spent in commercials

Using the model, the actual playing time of the movie excluding commercials :

(Shaded portion / total portion) * movie length

5 / 6 * 3 = (5*3) / 6 = 15/6

How many 2/5 cup servings are in 9/5 cups of ice cream? (in simplest fraction form)

Answers

Answer:

4 1/2 cups of ice cream

Step-by-step explanation:

since the denominators are the same, we look at the numerator.

2 x 4 = 8 out of 9 cups

Arelli is 12 5 6 years old. Carl is 1 1 3 years younger than Arelli and Jane is 1 1 4 years younger than Carl. How old is Jane?

Answers

Answer:

10 1/4

Step-by-step explanation:

Carls age = 12 5/6 - 1 1/3

12 5/6 - 1 1/3

11 (5 - 2) / 6 = 11 3/6

Jane's age = carl's age - 1 1/4

11 3/6 - 1 1/4

10 (12 - 6) / 24 = 10 6/24 = 10 1/4

What is the exact value of tan (19 pi /12 )?

Answers

i think it is around -3.73205080757 havent don’t this in a while though sorry

could someone please answer #35 for me

Answers

Answer:

408

Step-by-step explanation:

Volume = length times width times height

So in this situation we can see that 17 is the length, 8 is the width, and 6 is the height

Knowing this information we can continue

If you think of a regular cube, you can split it diagonally and then it would be 2 triangles

So we can split the width, in halve which would be 4 and then apply the formula 4*6*17 and when you solve that you get 408 Now we have to split that in halve because remember it is a triangle and a triangle is halve of a square. Halve of 408 is 204.

If we repeat that prosses for the other side we will also get 204. Now we add 204+204 to get our answer 408.

Sorry is this was a little confusing but that's the best I can explain it.

Hope that helped and have a great day!

Step-by-step explanation:

which of the following could represent the angle measurements of a right triangle
A: 90°, 30°, 40° B: 15°, 85°, 90° C: 20°, 70°, 90° D: 40°, 40°, 100°

Answers

THE ANSWER to the question IS C

find the distance between each pair of points. Round your answer to the nearest 10th if necessary

Answers

Answer:

5.4

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[-2 - (-7)]² + (7 - 5)²

√(5)² + (2)²

√25 + 4

√29

= 5.4

A triangle has a base that is 4cm longer than its height.
a. Write a polynomial that represents the area of the triangle.
b. Find the area when the height is 8cm

Answers

Answer:

a) A =( x^2 -4x)/2

b) 16 cm^2

Step-by-step explanation:

Let the base of the triangle be x cm

since it is longer, then the height would be (x-4) cm

Mathematically, the area of a triangle is the product of the base and the height divided by 2

So, we have this as;

A = 1/2(x-4)x

A = x(x-4)/2

A = (x^2 - 4x)/2

A =( x^2 -4x)/2

To find the area, we only need to substitute 8 cm for x

we have this as;

A = (8^2 -4(8))/2

A = (64-32)/2 = 32/2 = 16 cm^2

We will begin by converting the word problem to relatable mathematical expression in the first part, in the second part, we will substitute for x and find the area which is 48cm^2

Given data

Let the height be x cm

and let the base be y cm

Going by the word problem statement "base that is 4cm longer than its height."

y = x+4

a. the polynomial expression for the area of the triangle is

We know that the area of triangle is given as

Area = 1/2*Base*Height

Area = 1/2*(x+4)*x

Area = 1/2*x^2+4x

Simplify

Area = x^2/2 + 2x

b. The Area when the height is 8cm

We will substitute x= 8cm

Area = (8)^2/2 + 2(8)

Area = 64/2 +  16

Area = 32+16

Area = 48 cm^2

Learn more about Triangle here:

https://brainly.com/question/17335144

PLEASE ANSWERRRRRRRRRRRRRRRRRRRRRRRRRRR

Answers

Answer:

d. 30

A = a+b /2 h

A = 6+9/2 × 4

A = 30

Answer:

D, but I am not too sure.

Good luck

hey! i’ll give brainliest please help!

Answers

Answer:

third in line

Step-by-step explanation:

hope this helps

Answer:

I think is third in line

Step-by-step explanation:

I believe so

pls help plsss and tyy i need helppp!!!

Answers

Answer:

B

Step-by-step explanation:

area for triangle

9x3=27

27/2= 13.5

area for trapezoid

6+9= 15

15(6)= 90

90/2=45

45+13.5= 58.5 ft²

The owners of a smoothie shop want the price of each size smoothie to be proportional to the amount of liquid it contains. A small smoothie will be 16 fluid ounces and sell for $3.52

Answers

Answer:

?

Step-by-step explanation:

Whats the question?

The proportionality constant if, A small smoothie will be 16 fluid ounces and sell for $3.52 is 22.

What is proportionality?

When the corresponding elements of two numerical sequences, frequently experimental data, have a fixed ratio, this is referred to as the coefficient of proportionality, and the two sequences are said to be proportional or directly proportional.

Given:

A small smoothie will be 16 fluid ounces and sell for $3.52,

Convert the price of the smoothie in cents as shown below,

The price of a smoothie = 3.52  × 100   ($1 = 100 cents)

The price of a smoothie = 352 cents

Calculate the proportionality constant as shown below,

The proportional constant = Fluid / price

The proportional constant = 352 / 16

The proportional constant = 22

Thus, The proportional constant is 22.

To know more about proportionality:

https://brainly.com/question/8598338

#SPJ5

The complete question is: The owners of a smoothie shop want the price of each size smoothie to be proportional to the amount of liquid it contains. A small smoothie will be 16 fluid ounces and sell for $3.52. Find the proportionality constant.

Tennessee Valley Authority

Answers

Answer:

What?

Step-by-step explanation:

I just tried to answer and it said incorrect answer for the first time that’s weird

plz help as fast as possible for 50 points!

Answers

Answer:

(2x-7)^2

Step-by-step explanation:

you need to find two numbers that add up to -28, but multiply to 196, so -14, then spread out your equation and sub in -14, then divide out common factors, and then you have your answer

if you have any questions, leave them in the comments, i will try to answer them, if this helped, pls give brainliest

Answer:

[tex]g(x)=4x^2-28x+49[/tex]

[tex]=4(x^2-7x)+49[/tex]

[tex]=4(x^2-7x+(7/2)^2-(7/2)^2)+49[/tex]

[tex]=4(x-7/2)^2+4(-(7/2)^2)+49[/tex]

[tex]=4(x-7/2)^2+4(-49/4)+49[/tex]

[tex]=4(x-7/2)^2+0[/tex]

[tex]4(x-7/2)^2+0[/tex]

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

so,

[tex]g(x)=4(x-7/2)^2+0[/tex]

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

hope it helps....

have a great day!!

Simplifique:
a) 0,027^1/3
b)16^1/25
c)4^0,5
d)27^0,333...

Answers

Answer:

a) 0.3.

b) 1.117287138  to  9 dec. places.

d)3.

Step-by-step explanation:

a and d: the powers 1/3 and 0.333... is  the cube root.

c: 0.5 = the square root.

b is found using a calculator

Which is the graph of y^2/16-x^2-9=1

Answers

Answer:

A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

b) Calculate the area of the red triangle to find the area of the garden. Show your work

Answers

Answer:

Solution given:

the area of the red triangle =½(a×b)unit²

Perpendicular/Height=H=side aBase=B=side b

So area

1/2BH1/2(side a)(side b)

What is the mean number of points scored by these players?

Answers

The answer is 6... hope this helps.......

How tall is the tree? Round to the nearest foot.. please help me

Answers

Answer:

C

Step-by-step explanation:

tan x = opp./adj.

tan 30° = t/20 so t = 20* tan 30° = 11.547≈12

T = t+5 = 12+5 =17  the closest one I see is C.16

Helppp please
Find the area of the following figures. Dimensions are In centimeters

Answers

Answer: the area should be 384cm

Step-by-step explanation:

Area = 28 cm squared

Top rectangle: 4x2=8
Lower rectangle: 2x10=20
8+20=28


Angle LMN and angle NMR are supplementary angles. What is the value of x in the diagram below?​

Answers

Answer:

x=48

Step-by-step explanation:

Supplementary means to add to 180.

Your equation is 36+3x=180

180-36=144

3x=144

144 divided by 3x= 48

x=48

Find the perimeter and Area of the rectangle

Answers

the answer is x^2+5(0) because the theorem matches the equation equally

Answer:

p is 5 by 7 the a is 3 by 6

Step-by-step explanation:

What time does the clock show?
Please help I didn’t get to learn this.

Answers

Answer:

The clock shows 8:18

Step-by-step explanation:

Answer:

8:18

Step-by-step explanation:

What fraction is equivalent to -2 4/9?

Answers

Answer:

-22/9

Explanation:

Just turn -2 4/9 into an improper fraction. 2 x 9 = 18 and 18 + 4 = 22.

22/9, and just add the negative sign to make it -22/9.

En un partido de baloncesto, los máximos anotadores han sido Juan, Jorge y Mario. Juan ha logrado 19 puntos. Jorge 5 puntos más que Juan y Mario 7 puntos menos que Jorge. ¿Cuántos puntos han obtenido entre los tres? *

Answers

Answer:

31

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

Can y’all help me with this

Answers

Step-by-step explanation:

Try this process when you see a right triangle

Help will give Brainlyest if right

Answers

Answer:

-4 , 0 would be the answer your looking for I believe

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