If m angle GEF is thirteen less than five times m angle DEG and m angle DEF = 149º, find m angle GEF. ​

If M Angle GEF Is Thirteen Less Than Five Times M Angle DEG And M Angle DEF = 149, Find M Angle GEF.

Answers

Answer 1

def=149

gef=5x-13

deg=x

5x-13+x=149

6x=162

x=27

plug the x back in

5(27)-13=122

Answer 2

The value of <GEF is 122

what is angle?

In geometry, an angle is formed when two rays are joined at their endpoints. These rays are called the sides or arms of the angle. Let us read about the different parts of an angle.

Parts of an Angle

There are two main parts related to an angle - the arms and the vertex.

Arms of the Angle

The two rays which join at a common point to form the angle are called the arms of the angle. Observe the figure given below which shows that OA and OB are the arms of the angle AOB.

<DEF=149

let <DEG be x

So,<GEF = 5x-13

Now

5x-13+x=149

6x=162

x=27

Hence, <GEF = 5(27)-13= 122

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Related Questions

If I take a 7 question multiple choice test, with 4 choices per question, what is the probability that I get 1 wrong

Answers

Answer:

The probability is [tex]\frac{3}{4^7}[/tex].

Step-by-step explanation:

Total questions = 7

Number of choices of each question = 4

Probability to give the correct answer = 1/4

Probability to give the wrong answer = 3/4

Probability to give 1 answer wrong

[tex]\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\\\\= \frac{3}{4^7}[/tex]

What is the standard deviation of the following data set rounded to the nearest tenth? 300,785,670,187,760,724

Answers

Answer:

S.D = 236.5

~~~~~~~~~~~~~~~~~~

300,

785,

670,

187,

760,

724

Answer:

300, 790, 670, 190, 760, 720

Which graph represents the function f (x) = 3 times 5 to the second power?

Answers

the answer is the third one

PLease help

Belinda is thinking about buying a house for $179,000. The table below shows the projected value of two different houses for three years:


Number of years 1 2 3
House 1 (value in dollars) 186,160 193,606.40 201,350.66
House 2 (value in dollars) 190,000 201,000 212,000


Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points)

Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points)

Part C: Belinda wants to purchase a house that would have the greatest value in 30 years. Will there be any significant difference in the value of either house after 30 years? Explain your answer, and show the value of each house after 30 years. (4 points)

Answers

There are several types of functions, but this question is limited to just 2 types, which are the exponential function and the linear function.

House 1 has an exponential function of [tex]f(x) = 179000 * 1.04^x[/tex] while house 2 has a linear function of [tex]f(x) =11000x+179000[/tex]. House 1 will have a greater value in 30 years and the difference between the values of the two houses is significant.

The given parameters can be represented as:

[tex]\begin{array}{cccc}{Years} & {1} & {2} & {3} & {House\ 1} & {186,160 } & {193,606.40 } & {201,350.66} & {House\ 2} & {190,000 } & {201,000 } & {212,000} \ \end{array}[/tex]

(a): The type of function

First, we check if the function is linear by calculating the difference between each year

House 1

[tex]d = 193606.40 - 186160 = 7446.4[/tex]

[tex]d = 201350.66 - 193606.40 = 7744.26[/tex]

The difference are not equal; hence, the function is not linear. So, we can assume that it is exponential

House 2

[tex]d = 201000 - 190000 =11000[/tex]

[tex]d = 212000 - 201000 =11000[/tex]

The difference are equal; hence, the function is linear.

(b): The function of each

House 1

An exponential function is represented as:

[tex]y = ab^x[/tex]

When [tex]x = 1;\ y =186,160[/tex]

We have:

[tex]186,160 =ab^1[/tex]

[tex]186,160 =ab[/tex] ---- (1)

When [tex]x = 2;\ y =193606.40[/tex]

We have:

[tex]193606.40 =ab^2[/tex] --- (2)

Divide (2) by 1

[tex]\frac{193606.40}{186160} =\frac{ab^2}{ab}[/tex]

[tex]1.04 = b[/tex]

[tex]b = 1.04[/tex]

Make a the subject in (1)

[tex]186,160 =ab[/tex]

[tex]a = \frac{186160}{b}[/tex]

[tex]a = \frac{186160}{1.04}[/tex]

[tex]a = 179000[/tex]

So, the function for house 1 is:

[tex]f(x) = 179000 * 1.04^x[/tex]

House 2

A linear function is represented as:

[tex]y = mx + b[/tex]

First, we calculate the slope (m)

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{201000 - 190000}{2 - 1}[/tex]

[tex]m = \frac{11000}{1}[/tex]

[tex]m = 11000[/tex]

So, the equation is:

[tex]y =m(x-x_1) + y_1[/tex]

Substitute known values

[tex]y =11000(x-1) + 190000[/tex]

[tex]y =11000x-11000 + 190000[/tex]

[tex]y =11000x+179000[/tex]

So, the function for house 2 is:

[tex]f(x) =11000x+179000[/tex]

(c): House with the greatest value in 30 years

This means that:

[tex]x = 30[/tex]

For house 1, we have:

[tex]f(x) = 179000 * 1.04^x[/tex]

[tex]f(30) = 179000 * 1.04^{30}[/tex]

[tex]f(30) = 580568.15[/tex]

For house 2, we have:

[tex]f(x) =11000x+179000[/tex]

[tex]f(30) = 11000 * 30+ 179000[/tex]

[tex]f(30) = 509000[/tex]

By comparison;

[tex]580568.15> 509000[/tex]

House 1 will have a greater value in 30 years

And the difference between the values is significant

The difference is:

[tex]d =580568.15-509000[/tex]

[tex]d =71568.15[/tex]

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Help again this is my last retake

Answers

The answer to this question is A, good luck :)

The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal.

What is the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years?

$60
$80
$90
$100

Answers

Answer:

80

Step-by-step explanation:

I = Prt

I = 40  R = .10  T = 5

40 = P (.10)(5)

40 = P(.5)

Divide each side by .5

40/.5 = .5P/.5

80 = P

The interest over 5 years is $80.

The correct option is B.

What is the simple interest?

Simple interest is the borrowing amount added only to the principal amount.

The Formula to calculate the simple interest is;

                                                 S.I. = P x T x R / 100,

Where S.I. is simple interest, P is the principal amount, T is the time period and R is the interest rate in a year.

We can use the formula I = Prt to solve for P. We know that I = 40, r = 0.10, and t = 5. Substituting these values, we get:

40 = P(0.10)(5)

Simplifying:

40 = 0.5P

Dividing both sides by 0.5:

P = 80

Therefore, the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years is $80.

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Please help me answer this question​

Answers

Answer:

a, 14.13. b, 39.25

Step-by-step explanation:

so for a the diameter is 6 so the radius is 3. The equation for the area of the circle is πr2. So 3x3=9. then 9x3.14=28.26. But then we have to divide by two cause we are finding only the shaded area. 28.26/2=14.13.

A is 14.13

for b, its the same thing, so the radiu is 5 and 5x5=25. 25x3.14=78.5, and divide two, so 78.5/2=39.25.

B is 39.25

WARNING: I am not sure this is correct, so if this is wrong i'm sorry, i'm learning too :)

Please answer correctly and I will give brainliest and crown plus an extra 20 points

Answers

Answer:

30.28 yd²

Step-by-step explanation:

Area enclosed = area of trapezoid + area of semicircle

= ½(a + b)*h + ½(πr²)

Where,

a = 5 yd

b = 2 + 5 = 7 yd

h = 4 yd

r = ½(4) = 2 yd

Plug in the known values

Area enclosed = ½(5 + 7)*4 + ½(π*2²)

Area enclosed = ½(12)*4 + ½(π*4)

= 6*4 + π*2

= 24 + 2π

= 30.2831853

≈ 30.28 yd² (2 decimal places)

simplify -8/2 ÷ 6/-3​

Answers

Answer: the answer is 2 or C

-8/2 x -3/6

*Always do the recipical*

(-8 x -3) / (2 x 6)

-8 x -3= +24

2 x 6= 12

24/12= 2

The solution of the given expression -8/2 x -3/6 is 2. The correct option is B.

What is an expression?

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Given that the expression is,

-8/2 x -3/6

The expression will be solved as below,

E = (-8 x -3) / (2 x 6)

The numerator will get reciprocal and multiplied to the denominator,

E = 24 / 12

Divide the number 24 by 12 and get the solution,

E = 2

Therefore, the solution of the expression will be 2. The correct option is B.

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SOMEONE HELP ME PLEASE

Answers

Answer:

what are the answer choicesss

Step-by-step explanation:

Find the value of x given in the right triangle

Answers

Answer: 7.1 units

Step-by-step explanation:

Using Pythagorean theory, c^2 - a^2 = b^2

We know c= 10

We know a=7

We are looking for b

10^2 - 7^2 = b^2

51= b^2

Take square root of both sides

7.1=b

SOMEONE HELP ME PLEASE

Answers

Answer:

1/36

Step-by-step explanation:

There are 6 possible outcomes 1,2,3,4,5,6

P(1) = number of outcomes that equal1 / total

        =1/6

Roll again

P(1) = 1/6

These are independent events so we can multiply the probabilities

P(1 roll again 1) = 1/6 * 1/6 = 1/ 36

A runner covers the last straight stretch of a race in 3 s. During that time, he speeds up from 5 m/s to 11 m/s.What is the runner's acceleration in this part of the race? ​

Answers

Answer:

From first Newton's equation of motion:

[tex]{ \bf{v = u + at}}[/tex]

Substitute the variables:

[tex]{ \tt{11 = 5 + (a \times 3)}} \\ { \tt{3a = 6}} \\ { \tt{a = 2 \: {ms}^{ - 2} }}[/tex]

Acceleration is 2 ms-²

25. A pizza shop offers 30% off the price of a large pizza every Tuesday
night. If the regular price is $25, what is the discounted price?

Answers

Answer:

25 -(.3*25)

25-7.50 = $17.50

Step-by-step explanation:

Answer:

17.50

Step-by-step explanation:

First find the amount of the discount

25 * 30%

25 * .3

7.5

Subtract this from the original amount

25 - 7.5

17.50

A piece of fabric is 1/3 yard by 3 5/8 yards.
Irma solves 1/3*3 5/8 to find the area of the fabric in square yards.

Enter numbers to complete Irma's calculation for the area. (TTM)

Answers

Answer:

favricis 1/3 yard bt 3 5/8 yards wich it will be 64

the product of two consecutive terms of the Arithmetic sequence 5,8,11.....is 598.find the position of the term?

Answers

Answer:

Step-by-step explanation:

Common difference is 3.

Let x be a term in the sequence. The next term in the sequence is x+3.

x(x+3) = 598

x² + 3x - 598 = 0

x = [-3 ± √(3²-4⋅1(-598))]/[2⋅1] = [-3 ± 49]/2 = 23, -26

-26 is an extraneous solution, so x = 23.

The two terms are 23 and 26.

What is the solution to the linear equation?

x – StartFraction 2 Over 3 EndFraction x minus StartFraction one-half EndFraction equals StartFraction 1 Over 3 EndFraction plus StartFraction 5 Over 6 EndFraction x. = + x

x = –5
x = –negative StartFraction 1 Over 6 EndFraction
x = StartFraction 1 Over 6 EndFraction
x = 5
Central and Eastern Europe experienced ethnic tensions in the early 1900s primarily because

Answers

Answer:

Step-by-step explanation:

Let R={0, 1, 2, 3} be the range of h(x) = x - 7. The domain of h inverse is_____.

{-7, -6, -5, -4}
{7, 8, 9, 10}
{0, 1, 2, 3}

Answers

Answer:

{-7,-6,-5,-4}

Step-by-step explanation:

Answer:

thats not correct answer thats an odyssey question and i just tried the answer and its not right just wanted everybody to know

Step-by-step explanation:

The sides of a triangle are 3x+ 2, 6x, and 5x. Find the expression to represent the perimeter. To find the perimeter, we ADD the three sides​

Answers

Answer:

3x+2+6x+5x

Step-by-step explanation:

perimeter of triangle = side 1 + side 2 + side 3

expression of the perimeter of triangle 3x+2+6x+5x

perimeter of traingle = 14x + 6

The expression 14x + 2 represents the perimeter of the triangle in terms of "x."

To find an expression that represents the perimeter of a triangle.

The perimeter is the sum of all three sides of the triangle. We have three sides with different lengths given by the expressions 3x + 2, 6x, and 5x. To find the expression representing the perimeter, we just need to add these three sides together.

Let's represent the sides as follows:

- The first side of the triangle is denoted as "a," which has a length of 3x + 2.

- The second side is denoted as "b," with a length of 6x.

- The third side is denoted as "c," having a length of 5x.

Now, let's find the expression for the perimeter, which we'll call "P." To do that, we add the three sides together:

P = a + b + c

Substitute the given expressions for the sides into the equation:

P = (3x + 2) + (6x) + (5x)

Now, let's simplify the expression by combining like terms (terms with the same variable "x"):

P = 3x + 2 + 6x + 5x

To further simplify, add the coefficients of the "x" terms:

P = (3 + 6 + 5)x + 2

Now, add the coefficients: 3 + 6 + 5 = 14, so the expression for the perimeter becomes:

P = 14x + 2

The expression 14x + 2 represents the perimeter of the triangle in terms of "x."

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Use the given conditions to write an equations for the line in slope- intercept form. passing through (1,-8) and (-7,8)

Answers

Answer:

y = -2x - 6

Step-by-step explanation:

Going from the first point to the second, we see x decreasing by 8 from 1 to -7 (this is the 'run') and y increasing by 16 from -8 to +8 (this is the 'rise').  Thus, the slope of the line through these two points is m = rise/run =  16/(-8) = -2.

Using the point-slope formula y - k = m(x - h) and the point (1, -8), we get:

y + 8 = -2(x - 1), or

y = -8 - 2x + 2, or

y = -2x - 6 (in slope-intercept form)

Using trig to solve for missing angles

Answers

Answer:

0.9⁰

Step-by-step explanation:

let unknown angle be x

sin x=47/60

sin x=0.783333

x=sin(inverse) 0.7833333

x=0.9⁰

Which expression is equivalent to (x^-6/x-2)^3

Answers

Answer:

= (6/x - 2)^3

In the diagram below, what is the approximate length of the minor arc AB?

Answers

Answer:

The answer is "Option C"

Step-by-step explanation:

Given:

[tex]r= 30 \ cm\\\\\theta =60^{\circ}[/tex]

Using formula:

[tex]\frac{A}{\theta}=\frac{\pi r^2}{2\pi}\\\\\frac{A}{\theta}=\frac{\pi r^2}{2}\\\\A=\frac{r^2\times \theta}{2}[/tex]

The total cost of a flower bouquet depends on the types of flowers in the arrangement. A bouquet containing 6 roses, 3 lilies, and 2 carnations costs $26.75. A bouquet containing 3 roses, 4 lilies, and 5 carnations costs $25.50. A bouquet containing 1 of each flower costs $6.75. Which system of equations represents this situation, where r represents the number of roses, l represents the number of lilies, and c represents the number of carnations?

Answers

Answer:

Roses 2.70, Lillies 2.45, Carnations 1.60

5^3x +2 = 25^x – 8

step by step please​

Answers

Answer:

-8

Step-by-step explanation:

It wont let me upload anything so i will come back with steps later

If 1 ounce of silver costs $5.50, how much money is needed to buy 2 1/2 pounds of silver?
16 oz = 1 pound

Answers

Answer:

0.858

Step-by-step explanation:

2 1/2 from oz to pound is 0.156 and then mutiply that by 5.50 is 0.858

find the original price if the price was 420 after a 10% discount

Answers

Answer:

466.67

Step-by-step explanation:

Let p be the original price

p - 10 % p = 420

p - .10p = 420

.9p = 420

Divide each side by .9

.9p/.9 = 420/.9

p =466.666666

Rounding to the nearest cent

p = 466.67

Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
|m^2+n^2|

Answers

Answer:

34

Step-by-step explanation:

We are here given a modulus expression and we need to find out the value when m = -5 and n = 3 .

Modulus :- It always gives positive value . For example ,

[tex]\rm\implies |-a| = a [/tex]

[tex]\rm\implies |a| = a [/tex]

The given modulus expression is :-

[tex]\rm\implies |m^2+ n^2| [/tex]

As the number inside the modulus operator are already squared therefore they will always give positive value for real numbers . Here we can omit the modulus .

[tex]\rm\implies m^2 + n^2 [/tex]

Plug in the given values ,

[tex]\rm\implies (-5)^2 + 3^2 [/tex]

Solve 5² and 3² and add them ,

[tex]\rm\implies 25 + 9 [/tex]

On adding ,

[tex]\rm\implies 34 [/tex]

Therefore ,

[tex]\rm\implies \boxed{\blue{\rm |m^2+n^2| = 34 }}[/tex]

Hence the required answer is 34 .

a)out of 300 students In a class 60% of the students took physics and 35 students took chemistry and 20% of the students did not take any of this subject. how many students take both the subject​

Answers

Answer:

25 students take both subjects.

Step-by-step explanation:

Solve for 60% of 300 students:

60/100 = x/300

Cross multiply:

60 × 300 = 100 × x

18000 = 100x

Divide both sides by 100:

180 = x

Solve for 20% of 300 students:

20/100 = x/300

20 × 300 = 100 × x

6000 = 100x

60 = x

Solve for the percentage of students in chemistry:

x/100 = 35/300

x × 300 = 100 × 35

300x = 3500

x = 11.66666...7

x = about 11.7%

Find the difference in percentages:

100 - 60 - 20 - 11.7

8.3

8.3% take both subjects

Solve for 8.3% of students:

8.3/100 = x/300

8.3 × 300 = 100 × x

2490 = 100x

24.9

About 25 students

Check your work by adding all the students together (to get to 300):

25 + 60 + 180 + 35

300 students total

This is correct!

Solve for x.
x - 42 = 98 – 9x
x = [?]

Answers

Answer:

x=14

Step-by-step explanation:

x - 42 = 98 – 9x

x+9x=98+42

10x=140

x=14

Answer:

[tex]x - 42 = 98 - 9x \\ x + 9x = 98 + 42 \\ 10x = 140 \\ x = 14 \\ thank \: you[/tex]

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