If mZGEF is thirteen less than five times
mZDEG and mZDEF = 149°, find mZGEF.
F
D
G

Answers

Answer 1

Answer:

Step-by-step explanation:

Given :

From the diagram,

m∠GEF is 13 less than 5 times m∠DEG and ∠DEF = 149°,.

To Find :

the value of m∠GEF..

Solution :

As per given data,

m∠GEF = 5m∠DEG - 13° ...(i)

∠DEF = 149° ⇒ m∠GEF + m∠DEG = 149° ..(ii)

Substituting value of m∠GEF in (ii),

We get,

(5m∠DEG - 13°) + m∠DEG = 149°

6m∠DEG - 13° = 149°

6m∠DEG = 149° + 13° = 162°

m∠DEG = ° = 27°

Substituting value of m∠DEG in (i),

We get,

m∠GEF = 5(27°) - 13°

m∠GEF = 135° - 13°= 122°


Related Questions

Use the formula to compute Isabel’s monthly loan payment, assuming that she makes a down payment of $5,000. Recall that the table shows she’ll finance $16,950, and her interest rate is 4.3%.

Type the correct answer in the box. Round the answer to the nearest dollar.

Isabel’s monthly loan payment will be about $
.

Answers

Answer:

314

Step-by-step explanation:

unit activity

A plant is growing at a constant rate. The plant was 4 cm tall after 1 month. The
plant was 32 cm tall after 9 months. Use let statements to define your variables &
write a conclusion statement to state your answer.
a) What is the rate of change?
b) Write an equation to represent this partial variation.

Answers

Answer: among us

Step-by-step explanation:

Identify the decay factor in the function. g(x)=100•(2/3)^x

Answers

Answer:

1/3

Step-by-step explanation:

Please help as soon as possible.

Answers

Answer:

C = 37.6991

Step-by-step explanation:

The equation for the circumference of a circle is given: C = π · d

where, d is the diameter of the circle.

Plug in the value of d = 12 and use the π button on the calculator.

C = π · 12

C = 37.6991

Answer: 12 π
The formula for circumference of a circle is 2 πr and the radius is half the diameter so substituting in it would be 2 π(6) which equals 12 π in exact form

It costs $10 to play football for one-half hour. How many 10-dollars bills do we need to play football for 6 hours?

Answers

Answer:

12

Step-by-step explanation:

how many half hours in 6 hours ?

it is

6/(1/2) = 6/1 / 1/2 = 6×2 / 1/1 = 12 / 1 = 12

A skirt was originally priced at $30. The store is having a 40% off sale.

How much of a discount will you receive on the skirt?

Answers

Answer:

The skirt would be $12.00

Step-by-step explanation:

you take the original price ($30) and divide by 100, then you are going to get 0.3. After you have divided you are going to multiply the 0.3 to the 40% then you should get your total of 12.00 dollars!

2) Find the sum of the first 50 terms of the
following series, to the nearest integer.
6, 10, 14,...

Answers

Answer:

The sum of the first 50 is 5200

Step-by-step explanation:The given sequence is a linear sequence.

So, first we calculate the common difference

d=t2-t1

d=10-6=4

The sum of the first 50 terms is then calculated using: sorry it wont let me copy and paste my explo and im lazy

Answer:

5,200

Step-by-step explanation:

6, 10, 14, ...

Sum = [ number of terms(first term+last term) ] / 2

-we know there are 50 terms

-we now the first term is 6

-we need to find the last term

last term = first term + (n-1)* difference between first and second term

last term = 6 + (50-1) * (10-6)

last term = 6 + 49*4 = 202

Sum = [ number of terms(first term+last term) ] / 2

Sum = [ 50 ( 6 + 202) ] / 2 = 5,200

There were some adults and children at the party. For every 3 adults, there 11 children. There were 32 more children than adults. How many adults were at the party?

Answers

Answer:

12 adults

Step-by-step explanation:

Given that :

Let :

Number of children = x

Number of adult = y

x = 32 + y - - - - - (1)

Ratio of adult to children

3 : 11

x = (11/3)y - - - (2)

Put x = 11/3y in (1)

(11/3)y = 32 + y

11y/3 - y = 32

(11y - 3y) / 3 = 32

11y - 3y = 32 * 3

8y = 96

y = 96/8

y = 12

Hence, number of adults = 12

SOMEONE HELP ME PLEASE

Answers

Answer:

0.6/7 is the answer.....

Answer:

what are the answer choices

Step-by-step explanation:

Point A(3,8)
and point B(−1,1)
are located within the coordinate plane.
what is the distance from A to B?

Answers

Answer:

[tex]\displaystyle d = \sqrt{65}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point A(3, 8)

Point B(-1, 1)

Step 2: Find distance d

Substitute in points [Distance Formula]:                                                         [tex]\displaystyle d = \sqrt{(-1 - 3)^2 + (1 - 8)^2}[/tex][√Radical] (Parenthesis) Subtract:                                                                   [tex]\displaystyle d = \sqrt{(-4)^2 + (-7)^2}[/tex][√Radical] Evaluate exponents:                                                                       [tex]\displaystyle d = \sqrt{16 + 49}[/tex][√Radical] Add:                                                                                                 [tex]\displaystyle d = \sqrt{65}[/tex]

Answer:

8.1

Step-by-step explanation:

the person who posted before was correct! they just forgot to change the format of the answer, see their response for an accurrate explanation :)

pls answer my maths questions fast reply me soon​

Answers

you didn't even put the question down

Sadi wanted to compare the fractions 2 3 and 5 9 using common denominators. His work is shown below. The common denominator is 9. Two-thirds times one-third = two-ninths. Two-ninths less-than five-ninths. So, two-thirds is less-than five-ninths. What errors did Sadi make? Check all that apply. The common denominator is 6, not 9. He should have multiplied by, not . He should have gotten a common numerator, not a common denominator. The fraction is greater than , not less than

Answers

Answer:

He should have multiplied by [tex]\frac{3}{3}[/tex] and not [tex]\frac{1}{3}[/tex]

The fraction is greater than

Step-by-step explanation:

Given

[tex]\frac{2}{3}\ \&\ \frac{5}{9}[/tex]

Sadi's steps are:

The common denominator is 9.

[tex]\frac{2}{3} * \frac{1}{3} = \frac{2}{9}[/tex]

[tex]\frac{2}{9} < \frac{5}{9}[/tex]

So:

[tex]\frac{2}{3} < \frac{5}{9}[/tex]

Required

Sadi's error

Her first error is that: he should have multiplied by [tex]\frac{3}{3}[/tex] and not [tex]\frac{1}{3}[/tex]

This is so because, whatever factor is multiplied to the numerator has to be multiplied to the denominator, as well.

So, we have:

[tex]\frac{2}{3} * \frac{3}{3} = \frac{6}{9}[/tex]

By comparison:

[tex]\frac{6}{9} > \frac{5}{9}[/tex]

So, his second error is that: the fraction is greater than

Answer:

B. He should have multiplied 2/3 by 3/3 not 1/3

D. The fraction 2/3 is greater than 5/9, not less  

than 5/9.

Step-by-step explanation:

Just did it on EDGE2021 and got it right :D

FOR EASY BRAINLIEST ANSWER AND EXPLAIN!! ASAP

QUESTION: A 30minute radio program, the entertainment portion lasts 2 minutes longer than 3 times the duration of the commercial portion. How much is devoted to commercials during the 30 minutes

Answers

Answer: 9 1/3 minutes
First create an equation with the given information; with x being the commercial time, 30=3x+2, now solve for x. First subtract 2 from each side and get 28=3x and then divide each side by 3 to get 9 and 1/3 minutes.

Help Please!!!
Find The Lateral surface area of this cylinder

Answers

Answer:

LSA = 56.5 cm²

Step-by-step explanation:

LSA = 2πrh

LSA = 2π(3)(3)

LSA = 56.5 cm²

in which figure , AB || CD . determine x​

Answers

☝︎☝︎☝︎☝︎☝︎

[tex]{\underline{\fcolorbox{White}{yellow}{ANSWER♥︎}}}[/tex]See the attachment☝︎☝︎☝︎....


The area of this rectangle is 3x2. What does the coefficient 3 mean in terms
of the problem?
width x
length 3x

Answers

Answer:

the answer is 3x the width

What is the value of y?

Answers

Answer:

C

Step-by-step explanation:

Exterior angle equals the sum of opposite interior angles

y + y = 130

2y = 130

Divide both sides by 2

y = 130/2

y = 65

Answer:

C.65

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle

y+y = 130

2y = 130 divide both sides by 2

y = 65

Make x the subject of the formula y=4x²-2​

Answers

Step-by-step explanation:

y=4x²-2y+2=4x²√(y+2)/4=xx=√(y+2)/4

hope it helps.stay safe healthy and happy....

A 240hp automobile engine delivers 195hp to the drive wheels, what is the effciency of the transmission and drive mechanism?

Answers

Answer:

81.25%

Step-by-step explanation:

Given that :

Engine power = 240 hp

Power delivered to drive wheel = 195 hp

Efficiency = (power delivered to drive wheel / Engine power) * 100%

Efficiency = (195 / 240) * 100%

Efficiency = 0.8125 * 100%

Efficiency = 81.25%

The efficiency of transmission and drive mechanism is 81.25%

a room in a form of a cuboid has a length of 5cm, height 8cm and breadth 0.07m. if one person can occupy a volume of 14cm3(cube). what is the maximum number of people needed to fill the room​

Answers

Answer:

20 people

Step-by-step explanation:

The volume of a cuboid is equal to length * breadth * height.

First, we want to figure out the values relative to each other. Everything is in centimeters except the breadth, which is 0.07m. To convert meters to centimeters, we can multiply by 100: 0.07 * 100 = 7, so the breadth is 7cm.

Next, the volume is  length * breadth * height = 5cm * 7cm * 8cm = 280cm³. Each person occupies 14cm³. To find how many people can occupy the cube, we can divide the volume by the space each person takes, so

280cm³/14cm³ = 20 people

Note that we can divide because each person takes x amount of space, and the total space, z, can be represented by x * y = z, with y representing the amount of people, because we add x space for each person. Dividing both sides by x, we get y = z/x

20% of the people in a village own a dog, 30% own goats and 40% own cattle, 5% own both a dog and goats, 4% own both a dog and cattle and 3% own both goats and cattle. If 1% own all three, what percentage of the village own none of the three?​

Answers

Answer:

37 %

Step-by-step explanation:

here..

only Dog = 20- 5 - 4 - 1 = 10

only goats = 30 - 5 - 3 - 1 = 21

only cattle = 40 - 4 - 3 - 1 = 32

then ... since the maximum percentage is 100 %

people who don't own any animal = 100% - 10% - 21% - 32% = 37 %

The doubling time of a population of flies is 5 hours. By what factor does the population increase in ​29 hours? By what factor does the population increase in ​3 weeks?

Answers

Answer:

If it doubles every 8 hours then

population = initial population * 2 ^ (hours / 8)

********************************************---------

after 26 hours

population increases by a factor of

2 ^ (26 / 8) = 9.51365692

************************************************--------

after 1 week, or 168 hours

population increases by a factor of

2 ^ (168 / 8) = 2 ^ 21 = 2,097,152

13.6 divided by 0.81 simplified.

Answers

Answer:

16.8

Step-by-step explanation:

how do solve this problem

Answers

Answer:

vertically opposite angles are equal

3x+112°=5x+100°

112°-100°=5x-3x

12°=2x

12°÷2=2x÷2

6°=x

therefore x=6°

Step-by-step explanation:

hope this is helpful

Answer:

x = 6

Step-by-step explanation:

The 2 angles are vertically opposite and are congruent, so

5x + 100 = 3x + 112 ( subtract 3x from both sides )

2x + 100 = 112 ( subtract 100 from both sides )

2x = 12 ( divide both sides by 2 )

x = 6

f(x) = -22 – 14
Find f(9)

Answers

Answer:

-4

Step-by-step explanation:

f(9)=-22-14

f(9)=-36

f multiplied by 9divide by 9=-36divide by 9

f=-4

What is the y-intercept of the line 2x-4y=8

Answers

Answer:

The y intercept is -2

Step-by-step explanation:

Hi there!

We want to find the y-intercept of the line 2x-4y=8

The y-intercept is the point in where the line passes through the y axis. This means that the value of x at the y intercept is 0.

So substitute 0 as x into the equation

2(0)-4y=8

Multiply

0-4y=8

Simplify

-4y=8

Divide both sides by -2

y=-2

The y intercept is -2. If you need it as a point, it's (0, -2)

Hope this helps!

Simplify (x-4)(3x^3-6x+2)​

Answers

Answer:

Step-by-step explanation:

[tex](x-4) (3x^{3} -6x+2)[/tex]

= [tex]3x^{4} -6x^{2} +2x -12x^{3} +24x-8[/tex]

= [tex]3x^{4} -12x^{3} -6x^{2} +26x-8[/tex]

I hope this helps and the working out is clear.  :)

find the two rational number between -2 and-1​

Answers

Answer:

-3/2, -7/4

Step-by-step explanation:

The numbers have to be negative, and two rational numbers between -1 and -2 are -1.5 and -1.75 and fortunately for us, both are rational (can be expressed as fractions), -1.5 = -3/2 and -1.75 = -7/4

HPH (Happy to help)

I dont know how to solve these.
a)x^2 =2x + 48
b)t^2 + 5t =-6
c) x^2= 30 - 7x

Answers

Answer: a. x=8,-6  b.t=-2,-3 c. x=3,-10

Step-by-step explanation: your basicly solving for x but u can also use it math

its free and online i use most of the time and it helps hope this helps you

help please i’m so desperate

Answers

You're fairly close but not 100% correct.

This function is logarithmic simply because of the presence of "log" in the notation. So you're correct with that statement.

However, we have a vertical asymptote and not a horizontal one. Note how the green function approaches but never touches x = 2. This is a vertical electric fence of sorts. This is due to the fact that log(x) cannot have x = 0. So log(x-2) cannot have x = 2. We can't have x < 2 either.

So you'll need to change that '3' to '2' without quotes of course.

The range is correct. The function can spit out any y value we want. So the range is the set of all real numbers, or we could say -infinity < y < infinity which translates to the interval notation you wrote. The function is increasing because we're going uphill when moving to the right.

The domain is not correct. The domain would be x > 2 to represent the possible x inputs. We can plug in anything larger than 2. The inequality x > 2 translates to the interval notation [tex](2, \infty)[/tex]

The end behavior portion is half correct. The left side end behavior should be [tex]\text{ as } x \to 2, \ y \to -\infty[/tex] to represent the idea of getting closer to that electric fence and going off to negative infinity (down the page forever). We don't have x approaching negative infinity because we can't go beyond that fence. The end behavior on the right side is correct.

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

So the answers would be

The function f(x) is a logarithmic function with a vertical asymptote x = 2. The range of the function is [tex](-\infty, \infty)[/tex] and it is increasing on its domain of [tex](2, \infty)[/tex]. The end behavior on the left side is [tex]\text{ as } x \to 2, \ y \to -\infty[/tex] and the end behavior on the right side is [tex]\text{ as } x \to \infty, \ y \to \infty[/tex]

Check out the attached image below.

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