Given that mDE = 49° and mFG = 12°, find mFE.

Given That MDE = 49 And MFG = 12, Find MFE.

Answers

Answer 1

Answer:

mFE = 119°

Explanation:

mGB = 90°

mGB = mBD

∴ mGD = 180°

⇒ mFE = 180 - (mDE + mFG)

mFE = 180 - (49 + 12)

mFE = 180 - 61

mFE = 119°

Answer 2

Answer:

119°

Step-by-step explanation:

[tex] In\: \odot A, [/tex] GD is diameter.

[tex] \therefore m\widehat{GFD} = 180\degree [/tex]

[tex] \because m\widehat {FG} +m\widehat {DE} = m\widehat {FE} \widehat{GFD} [/tex]

[tex] \therefore m\widehat {FG} +m\widehat {DE} + m\widehat {FE} = 180\degree [/tex]

[tex] \therefore 49\degree +12\degree + m\widehat {FE} = 180\degree [/tex]

[tex] \therefore 61\degree + m\widehat {FE} = 180\degree [/tex]

[tex] \therefore m\widehat {FE} = 180\degree - 61\degree [/tex]

[tex] \therefore m\widehat {FE} = 119\degree [/tex]


Related Questions

help the whole question is right there, it's pretty easy I just don't have brainpower

Answers

Answer:

Your answer is 211.8

Step-by-step explanation:

We've made a right triangle so the equation is a²+b² = c²

141²+158² = c²

141²+158² = 44845

Then you square root it

√44845 = 211.8

Someone please help will mark brainliest!!!

Answers

Answer: 50°

Step-by-step explanation: ur smart, u don’t need one, but if u really want one just comment on it and I’ll give u one :)

D is your answer so

I need help ASAP. Find the length of arc FD if the radius is 94 and m

Answers

Answer:

 [tex]Arc \ length = 2\pi r \frac{\theta}{360} =[/tex] 172.3m

Which line on the graph represents the equation y + 4 = -2x/3

Answers

Answer:

The answer is line D

Step-by-step explanation:

A cottage has a gable roof. To the nearest foot, how wide is the cottage?A. 12 ftB. 24 ftC. 35 ftD. 70 ft

Answers

Answer: the answer is B: 24ft

Step-by-step explanation: To find how wide the triangle is identify your angles. You have a right angle which is equal to 90° and an angle that measures 46°. Add up both of these angles and you'll get 136°. A triangle can only have three angles that add up to 180. So subtract 180 and 136 you get 44. Multiply the hypotenuse by sin(46) to get the length of the side facing the opposite way of the angle that measures 44°. You will get 11.8 which is about 12. The other triangle is a congruent triangle meaning that it's angles and sides are the same. Add both 12's up and you have 24ft as your width for the cottage.

Mrs. Lia has 17 pounds of modeling clay. She divides the clay into 1/2 pound blocks. If Mrs. Lia puts aside2 if the blocks and gives the rest to the students in her art class, how many 1/2 pound blocks of clay does Mrs. Lia give to her class?

Answers

Answer:

6

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

A cube with an edge length of 10 must be filled completely. How many cubic centimeters will be needed? Type
your answer in the box.
A cm3

Answers

Answer: 1,000 cm^3

Step-by-step explanation:

Volume of cube= bhw

All sides of a cube are equivalent so 10^3= 1000

Which statement best describes the sequence defined by ?

The series diverges because it has a sum of 6.
The series converges because it has a sum of 3/4.
The series converges because it has a sum of 2.
The series diverges because it does not have a sum.

Answers

Answer:

well  its not c so...

Step-by-step explanation:

that'll leave you w 3 others to choose from. sorry.

The series diverges because it does not have a sum option, fourth is correct.

What is the convergent of a series?

A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums get closer and closer to a certain number.

We have an infinite series:

[tex]\rm \sum ^{\infty}_{n=1}\dfrac{3}{4}(2)^n[/tex]

[tex]\rm \sum ^{\infty}_{n=1}3(2)^{n-2}[/tex]

The above series is geometric series with first term 2 and the common ratio is 2.

Here 2>1

By the ratio test, the series is divergent.

Since the common ratio is greater than 1 the sum will be infinite.

Thus, the series diverges because it does not have a sum option, fourth is correct.

Learn more about the convergent of a series here:

brainly.com/question/15415793

#SPJ2

Construct a street that has an x-intercept of 6 and a slope of 4. what is the y-intercept?

Answers

Answer: CAN U MARK BRAINLIST!!!!! You've probably already seen the basic method for graphing straight lines; namely, make a T-chart, plot some points, put your ruler against them, and draw the line. But the "nice" form of a straight line's equation (being the slope-intercept form, y = mx + b) can make graphing even simpler and faster.

Given two points (x1, y1) and (x2, y2), the formula for the slope of the straight line going through these two points is:

\small{ m = \dfrac{y_1 - y_2}{x_1 - x_2} }m=  

x  

1

​  

−x  

2

​  

 

y  

1

​  

−y  

2

​  

 

​  

 

 

MathHelp.com

Using Slope and Y-Intercept to Graph Lines on MathHelp.com

Slope-Intercept Form

...where the subscripts merely indicate that we have a "first" point (whose coordinates are subscripted with a "1") and a "second" point (whose coordinates are subscripted with a "2"); that is, the subscripts indicate nothing more than the fact that we have two points that we're working with. Note that which point we pick as the "first" point is irrelevant; if we pick the other point to be "first", the subtractions will be reversed, but we'll still get the exact same value for the slope:

\small{ m = \dfrac{y_2 - y_1}{x_2 - x_1} }m=  

x  

2

​  

−x  

1

​  

 

y  

2

​  

List the kinds of measurements have you worked with so far. Describe what area is. Describe what volume is.

How could you find the combined area of all faces of a three-dimensional shape? Give an example of why that would be a good measurement to know.

Answers

1. i’m not sure what you have worked with.
2. area is how much space is within a 2D shape.
3. Volume is the amount of mass that a 3D shape takes up.
4. You find the combined area of a 3D shape by finding the individual area of each shapes on the outside of the 3D shape and then add them up.
5. i’m not sure what you mean by “give an example of why that would be a good measurement to know”

Answer:

In the passed I've used measurement cups, rulers, addition, subtration, and multiplication too.

Step-by-step explanation:

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4.
Find the x- and y-intercept of the line.
2x + 3y = -18

Answers

Hi there!

»»————- ★ ————-««

I believe your answer is:  

X - Intercept: (-9, 0)

Y - Intercept: (0, -6)

»»————- ★ ————-««

Here’s why:

The x and y-intercepts of a line is where a given function intercepts the x or y axes.

I have graphed the equation given on a program. The graph shows that the line passes through the points (0, -6) and (-9, 0).

Therefore:

[tex]\rightarrow\text{The x-intercept of the given equation is }\boxed{\text{(-9,0)}}.\\\\\rightarrow\text{The y-intercept of the given equation is }\boxed{\text{(0,-6)}}.[/tex]

See the graph attached below!

»»————- ★ ————-««

Another way to solve this problem is to do this algebraically.

[tex]\text{X-Intercept: Substitute the 'y' variable for zero and solve for 'x'.}\\\\2x + 3y = -18\\-------\\\rightarrow2x+3(0)=-18\\\\\rightarrow2x=-18\\\\\rightarrow\frac{2x=-18}{2}\\\\\rightarrow\boxed{x=-9}\\-------\\\boxed{\text{X-Intercept: (-9,0)}}[/tex]

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

[tex]\text{Y-Intercept: Substitute the 'x' variable for zero and solve for 'y'.}\\\\2x+3y=-18\\\-------\\\rightarrow2(0)+3y=-18\\\\\rightarrow3y=-18\\\\\rightarrow\frac{3y=-18}{3} \\\\\rightarrow\boxed{y=-6}\\\-----\\\\\boxed{\text{Y-Intercept: (0,-6)}}[/tex]

»»————- ★ ————-««

Hope this helps you. I apologize if it’s incorrect.  

Which best describes the effect of translating the equation y=1/2x+8 up or down the y axis?

Answers

Answer:

Option B, the y-intercept changes

Explanation:

This is because, the y-intercept is located on the y-axis, which is the vertical axis, moving the graph up and down would mean moving it vertically, therefore this would result in the change of the y-intercept.

Hope this helps!

(cosA+sinA)
2
+(sinA−cosA)
2
=2​

Answers

Answer:

Here we want to solve:

(cos(A) + sin(A))^2 + ( sin(A) - cos(A))^2 = 2

First, remember the two expansions:

(a + b)^2 = a^2 + 2*a*b + b^2

(a - b)^2 = a^2 - 2*a*b - b^2

Using these relations, we can expand:

(cos(A) + sin(A))^2 = cos(A)^2 + 2*cos(A)*sin(A) + sin(A)^2

( sin(A) - cos(A))^2 = sin(A)^2 - 2*sin(A)*cos(A) + cos(A)^2

Replacing that in our equation, we geT:

(cos(A)^2 + 2*cos(A)*sin(A) + sin(A)^2) + (sin(A)^2 - 2*sin(A)*cos(A) + cos(A)^2) = 2

We can simplify this to get:

2*cos(A)^2 + 2*sin(A)^2 + 2*cos(A)*sin(A) - 2*cos(A)*sin(A) = 2

2*cos(A)^2 + 2*sin(A)^2 = 2

We can take the 2 as a common factor to get:

2*cos(A)^2 + 2*sin(A)^2 = 2*( cos(A)^2 + sin(A)^2) = 2

Now we can divide both sides by 2:

2*( cos(A)^2 + sin(A)^2)/2 = 2/2

cos(A)^2 + sin(A)^2 = 1

And this is a trigonometric property that is true for any value of A.

So the equality:

(cos(A) + sin(A))^2 + ( sin(A) - cos(A))^2 = 2

is true for any real value of A.

Which equations are true? Choose all that apply.
A. 15^0=15
B. (8^3) (8^6)= 8^9
C. 5^2 = 1/5-3
D. (6^5)^3 = 6^15
E. 3^7/3^9 = 3^-2

Answers

Answer:

B, D, E

Step-by-step explanation:

A) anything to the zero power equals one

B) when bases are the same and being multiplied, add their exponents

C) 5² = 25

D) when parentheses separate exponents, they should be multiplied

E) when bases are the same being divided, subtract their exponents

pls help me besties ‼

Answers

Answer:

1 3 2

Step-by-step explanation:

OK BESTIE

need help asap! will give brainliest!

Answers

Answer:

x = 9

Step-by-step explanation:

tan 53° = 12/x

x = 12/tan 53°

x = 9.04

Please help, I don’t know what I’m supposed to do

Answers

-10

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎
Answer :

It’s B: -10

Explanation:

Since it dropped 45, you just needed to subtract from 35.

Help please one question

Answers

X=6 and y=2 all you have to do is plug x that is given into the equation for y. After you have initially solved for y ,which is 2 , you plug that into the equation as well which them comes to the answer for x

How many times larger is 3 x 10^8 than 3 x 10^2

A: 1 x 10^-6
B: 1 x 10^4
C: 1 x 10^6
D: 1 x 10^10

Answers

Answer:

Your answer is C

Step-by-step explanation:

You should look at the exponent. Once you figure out the difference between the two exponents then you get your answer.

hello please help i’ll give brainliest

Answers

The answer is A the first option

Answer:

The first answer is correct.

Step-by-step explanation:

If we were to plot the numbers of the first one, we would see that they match up to the plot that is given.

Hope that this helps!

Help with this problem pls

Answers

As x increasing y decreases.

As x decreases, y increases.

Please mark as the brainliest.

Hope it helps you.

Thank You

2. Order these numbers from least to greatest: 5,0,1,-15-3,-1

Answers

Answer:

Step-by-step explanation:

- 15, -3, -1, 0 , 1, 5

Answer:

-15,-3,-1,0,1,5

Step-by-step explanation:

What is the solution of log(2f+4)=log(14-3f)
A)-18
B)-2
C)2
D)10

Answers

Answer:

f = 2

Step-by-step explanation:

equate the log

therefore,

2f + 4 = 14 - 3f

collect like terms

2f + 3f = 14 - 4

5f = 10

divide through by 5

f = 10/5

f = 2

7. A rectangular prism has dimensions
4 feet x 3 feet X 10 feet. What
are the possible dimensions of a
horizontal or vertical cross section?

Answers

Answer:

yoi

Step-by-step explanation:

yoi


If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to x from the
second equation is substituted into the first equation

3x + 2y = -21
x - 3y = 4

3(3y + 4) + 2y = -21
3(-3y + 4) + 2y = -21
3x + 2(3y + 4) = -21
3x + 2(-3y + 4) = -21

Answers

Answer:

answer is

3(3y+4) + 2y = -21 .

A rectangular cardboard is 8cm long and 6cm wide. what is the least number of beads you can arrange on the board such that they are at least two of the beads that are less than √10cm apart?

Answers

Answer:

ixbhjshvshsbsjsbjssvisjywysuysrywuwyduysuuehehudh

is it possible to construct a triangle with the given lengths? 17, 37, 53

Answers

Answer:

Yes

Step-by-step explanation:

In any triangle, the sum of any two sides must be larger than the third side. To test this, we only actually need to pick the two shorter sides. In this case, the following inequality is true:

[tex]17+37>53,\\54>53,\\\text{True}\:\checkmark[/tex]

https://www.blooket.com/play?id=658244

Copy and paste
All right answers
Appropriate names please!!

Answers

Answer:

ok

Step-by-step explanation:

Can someone help solve this?

Answers

Answer:

C

Step-by-step explanation:

The box-and-whisker plot below represents some data set. What percenta data values are less than 66?​

Answers

Given:

The a box-and-whisker plot if a data set.

To find:

The percentage of data values that are less than 66.

Solution:

From the given box-and-whisker plot, it is clear that the number 66  is the highest value of the data set.

It means all the values of the data set are less than 66 and no value can be more than 66.

All value means 100%.

Therefore, 100% of data values are less than 66.

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