if angle EFG and angle GFH are a linear pair, m angle EFG=4n+15, and m angle GFH =5n+39. what are m angle EFG and m angle GFH

Answers

Answer 1

Answer:

EFG is 71 degrees, GFH is 109 degrees

Step-by-step explanation:

Linear pairs add up to 180 degrees

4n+15+(5n+39)=180

Add Like Terms: 9n+54=180

Subtract 54 from both sides: 9n=126

Divide 9 from both sides: n=14

Substitute 14 for n: GFH=5(14)+39= 109

EFG=4(14)+15 = 71


Related Questions

Joe has 5 shirts, 3 pairs of pants and 4 pairs of shoes. He needs to make an outfit containing one of each item. How many different outfits are possible?

Answers

Answer:

60 outfits

Step-by-step explanation:

5 shirts x 3 pants x 4 shoes = 60 outfits (containing 1 shirt, 1 pant, 1 shoe)

This is pretty difficult to explain, but this is basically how you do it when you want to see how many combinations of something there are for multiple different things. Basically, for each of the 5 shirts, there are 3 different pants, and for each of the pants there are 4 shoes. So each pant has 4 shoes, then multiply that by 3 for the 3 pants for each shirt. After that, multiply by 5 for each shirt in the outfits.

A coin is tossed and a six​-sided die numbered 1 through 6 is rolled. Find the probability of tossing a head and then rolling a number greater than 5.

Answers

Answer:

1/12

Step-by-step explanation:

This type of probability is independent i.e the occurrence of one does not affect the other.

Probability = expected outcome/total outcome

For a coin:

The total sample space = {H, T} i.e 2

The probability of tossing a head will be:

P(a head) = 1/2

For a die:

Sample space S = {1, 2, 3, 4, 5, 6}

Total number of sample space n(S) = 6

If a number greater than 5 is rolled, the event outcome will be E = {6}

Pr(S>5) = n(E)/n(S)

Pr(S>5) = 1/6

The probability of tossing a head and then rolling a number greater than 5 is expressed as:

Pr(H and S>5) = Pr(H) * Pr(S>5)

Pr(H and S>5) = 1/2* 1/6

Pr(H and S>5) = 1/12

Hence the probability of tossing a head and then rolling a number greater than 5 is 1/12

A triangle with side lengths of 2, 10, and 11 is a(n)
triangle.

Answers

Answer:

true

Step-by-step explanation:

it says that it is a triangle.

hope this helped!

4x + 17 = 23



Find the solution to the equation. plzzzzzzzz first Person get brainllest

Answers

Answer:

x = 1.5

Step-by-step explanation:

4x + 17 = 23

     -17    -17

4x = 6

Divide both sides by 4.

1.5 = x

Hope that helps and have a great day!

Answer:

x=3/2

Step-by-step explanation:

Subtract 17 on both sides, then divide by 4. You get 3/2 or 1 and 1/2!

hope this helped !!

We conduct a chi-square test with 6 degrees of freedom and find a test statistic of 20.32. The p-value for this test would be:

Answers

Answer: 0.002429

Step-by-step explanation:

Given that:

Degree of freedom = 6

Value of Chisquare test statistic = 20.32

The P value of the Chisquare distribution with a test statistic of 20.32 and a degree of freedom of 6 can be obtained using a Chisquare p value calculator.

P(20.32, 6), at 0.05 the degree of freedom obtained is :

0.002429

This p value shows that result is significant at p < 0.05.

As the P value obtained is lesser than the significance level.

= 0.002429

The variable n represents the number of scooters in a shipping container. The weight of the container in pounds, including the scooters, can be modeled using the expression 250+23n. How much will the container weigh with 20 scooters in it?

Answers

Answer:

710

Step-by-step explanation:

the equation is 250+23n

n=20 so

250+23x20

23 x 20 = 460

250 + 460 = 710

Convert Decimal to Percent:
0.778 =
hool
0.852 =
Convert Percent to Decimal:
74% =
111% =
Convert Decimal to Fraction:
1.36 =
0.374 =
Convert Fraction to Decimal:
3/8 =
23/50 =
Convert Fraction to Percent :
7/40 =
17/25 =
Convert Percent to Fraction:
185% =
98.4 %=

Answers

Answer:

77.8%85.2%0.741.11136/100374/100017.5%68%1.850.984

Answer:

bhkutvld hgotrbjvlgh njbv

kllsnvdn kvkdxc

Which situation could be modeled by the function y = 400(1 – 0.17)x?
Here are the possible answers, can someone please help me?

A) The population, y, of a city after x years that grows at a rate of 17% every 3 years
B) The amount of medicine in milligrams, y, in a human body that starts with 400 milligrams and
decreases by 17% every hour, x
C) The money, y, in an account that starts with $400 and increases by 17% every year, x
D) The height of a tree, in inches, y, that starts at 400 inches and grows by 17 inches every year, x

Answers

Answer:

B

Step-by-step explanation:

Answer:

The amount of medicine in milligrams, y, in a human body that starts with 400 milligrams and decreases by 17% every hour, x

Step-by-step explanation:

I did it on ttm

From midnight to 2:00 am, the temperature dropped 1.25°C each hour. If the
temperature at 2:00 am was 5.5°C, what was the temperature at midnight?

Answers

3 degrees celsius because 2 hours after midnight is equal to 2.5 so you subtract 2.5 minutes 5.5

8 with the power of 2 = -3 with the power of 2 = 9

Answers

Answer:

okay I will explain but where is that's knid of question

what's 22.95 ÷ 13.5​

Answers

Answer:

1.7

Step-by-step explanation:

The answer would be 1.7

the product of 526×19 ​

Answers

9994 is the answer and please give brain

Always true, sometimes true, or never true: When dividing a dividend that has decimal values I have to move the decimal point.

Answers

Answer:

True

Step-by-step explanation:

Hope this helped, have an AMAZING day!!

7 - x = - 5 ??????....

Answers

Start by subtracting 7 from both sides. Giving you -x=-12. Then you need a positive x so just flip the signs. Giving you x=12

Answer:

is it twelve ?

Step-by-step explanation:

:-|

whats the answer to 4.23872345.25135x4446.56559=

Answers

Answer: the correct answer is 18,847.76184947253

Answer:

1.884776184E1284776184947.2528110465

Step-by-step explanation:

I dont have one

HELP :((( PLS ILL MAKE U BRAINLIEST

Answers

Answer:

a. an=18-6n

b. an=0.7+2.8n

Step-by-step explanation:

a. 12-6(n-1)

     12-6n+6

     18-6n

b.3.5+2.8(n-1)

    3.5+2.8n-2.8

    0.7+2.8n  

Solve for x 16-x=-2 give me the answer

Answers

[tex]\text {Hi! Let's Solve this Equation!}[/tex]

[tex]\text {\underline {The First Step is to Flip the Equation}}[/tex]

[tex]\text {Before: 16-x=-2}\\\text {After: x+16=-2}[/tex]

[tex]\text {\underline {The Next Step is to Subtract 16}}[/tex]

[tex]\text {x+16-16=-2-16}[/tex]

[tex]\text {Your New Problem Is: x=-18}[/tex]

[tex]\text {\underline {The Final Step is to Divide -1}}[/tex]

[tex]\text {x/-1=-18/-1}[/tex]

[tex]\text {Your Answer Would Be:}[/tex]

[tex]\fbox {x=18}[/tex]

[tex]\text {Best of Luck!}[/tex]

Answer:

18

Step-by-step explanation:

16 - x = -2

-x = -2 - 16

-x = -18

x = 18

Hopefully this answer helps you :)

What is the slope
A. slope=1/3
B. slope= -3
C. slope = 3

Answers

Answer:

3

Step-by-step explanation:

slope = rise/run

Start at an easy to read point, such as (0, -2).

Go up 3 and right 1.

That is a rise of 3 and a run of 1.

slope = rise/run = 3/1 = 3

Answer: 3

Answer:

3

Step-by-step explanation:

Count how many points it goes up and then over to cross a square through the corner. In this case it goes up 3 over one. That simplifies to be just 3. Hope that made sense.

What is the equation of a line that is passing through the point (2, 11)

and is parallel to the line y = 4x – 5?

Answers

Answer:

y=4x+3

Step-by-step explanation:

since its parallel they have the same slope

y=mx+b

(11)=(4)(2)+b

11=8+b

then subtract 8 on both sides

11=8+b

-8=-8+b

3=b

then y=4x+3

Suppose the average wait time for a sandwich at a local deli is 55 min with a standard deviation of 33 min. Is it unusual to wait over 1212 minutes to get a sandwich?

Answers

Answer:

The wait  time is unusual because the probability value obtained is less than 2 standard deviation above the mean

Step-by-step explanation:

From the question we are told that

     The average wait time is  [tex]\mu = 55 \ min[/tex]

     The standard deviation is  [tex]\sigma = 33 \ min[/tex]

Generally the probability of  waiting over 1212 minutes is

     [tex]P(X > 1212) = P(\frac{X - \mu}{ \sigma } > \frac{ 1212 - 55}{ 33} )[/tex]

     [tex]P(X > 1212) = P(\frac{X - \mu}{ \sigma } > \frac{ 1212 - 55}{ 33} )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

So

       [tex]P(X > 1212) = P(Z > 35 )[/tex]

From z table  the probability of  (Z  >  35 ) is  

        [tex]P(Z > 35 ) = 0[/tex]

Hence

    [tex]P(X > 1212) = 0[/tex]

The  time is unusual because the probability value obtained is less than 2 standard deviation above the mean

X-2y=-4 write rhe equation in slope intercept form

Answers

Answer: y=−1/2x+2

Step-by-step explanation: From x+2y=4

first, we can subtract x from both sides

and get 2y=−x+4

then, we can divide both sides by 2

y=−1/2x+2

Answer:

y=1/2x-2

Step-by-step explanation:

Hope this helps

The regular price of a computer monitor is $185. It is on sale for 15% off. Sales tax is 8%. What is the cost of the computer monitor after the discount and sales tax are applied

Answers

Answer:

169.i2

Step-by-step explanation:

i hope this helps

Answer:

169.83

Step-by-step explanation:

$185.00 - 8% = $157.25 + 8%= $169.83

People in a public library were polled on how many books they read in the last five years. Preliminary survey results indicate the sample standard deviation is 18.61 books. How many subjects are needed to estimate the mean number of books read by library users in the last five years within four books with 99% confidence

Answers

Answer:

144

Step-by-step explanation:

From information available

Margin of error = 4

S = 18.61

ME = Z-alpha/2 x s/√n

Alpha = 1-0.99

= 0.01

Alpha/2 = 0.01/2

= 0.005

Z-alpha/2 =2.576

Putting into the formula we have

4/1 = 2.576 x 18.61/√n

When we cross multiply

We have

√n = (2.576 x 18.61)/4

√n = 11.98484

n = 11.98484²

n = 143.63

n = 144

144 subjects are needed to do this estimation

1.4.AP-6 3 Question Help The calorie count of a serving of food can be computed based on its composition of carbohydrate, fat, and protein. The calorie count C for a serving of food can be computed using the formula C = 3h + 13f + 7p, where h is the number of grams of carbohydrate contained in the serving, f is the number of grams of fat contained in the serving, and p is the number of grams of protein contained in the serving. Solve this formula for f, the number of grams of fat contained in a serving of food.​

Answers

Answer:

f =  (C-3h-7p)/13

Step-by-step explanation:

Given the equation of calorie count of food computed by:

C = 3h + 13f + 7p

h is the number of grams of carbohydrate contained in the serving,

f is the number of grams of fat contained in the serving, and;

p is the number of grams of protein contained in the serving

We are to make f the subject of the formula as shown:

C = 3h + 13f + 7p

13f = C-3h-7p

Divide through by 13

13f/13 = (C-3h-7p)/13

f =  (C-3h-7p)/13

Hence the formula for f, the number of grams of fat contained in a serving of food is f =  (C-3h-7p)/13

State the x-values where the limit does not exist.

Answers

9514 1404 393

Answer:

x = -2x = 2

Step-by-step explanation:

There are vertical discontinuities in the function at x=-2, x=2, and x=4. When looking at limits, we find the function values to be different either side of those discontinuities at x = -2 and at x = 2. Thus, limits do not exist at those points (x = {-2, 2}).

At x=4, the discontinuity is in the function definition, not in the values left or right of that point. Hence the limit does exist at x=4, but the function is not continuous there.

Factor this polynomial completely.
x2 - 6x + 9
O A. (x+3)(x + 3)
OB. (x+3)(x-3)
O C. Does not factor
O D. (x - 3)(x-3)

Answers

Answer:   D.   (x-3)(x-3)

==========================================================

Explanation:

The last term is 9 and the middle coefficient is -6.

We need to find two numbers that multiply to the last term, and also add to the middle coefficient.

Through trial and error, you should find the two numbers -3 and -3

-3 plus -3 = -6

-3 times -3 = 9

Those two values directly lead to the factorization (x-3)(x-3)

We can FOIL out (x-3)(x-3) to get x^2-6x+9 to help confirm the answer. Distribution works as well. The box method is a visual way to do it also.

A bill for dinner at a restaurant is $91.42.
Lucy wants to leave a 15% tip. Which is a
good estimate for the tip?

Answers

Answer:

f

Step-by-step explanation:

Graph the slope of Y=-3x+7

Answers

(x) (y)

0 7

7/3 0

Draw the line using two points or the slope and the y-intercept.

Slope: −3

Y-intercept: (0.7)

I hope I did this right :)

A toy cannon ball is launched from a cannon on top of a platform. the equation h(t)=-5t^2+15t+10 gives the height h, in meters, of the ball t seconds after it is launched.

A) Does the ball reach a height of 24m

B)Explain your answer

ASAP​

Answers

Hello,

This is a parabola.

The vertex is for x= 15/2*5=3/2, and then the maximum is reached for

[tex]h(3/2)=-5(9/4)+15(3/2)+10=\dfrac{-45+90+40}{4}=\dfrac{85}{4}[/tex]

As 85/4 < 24 the ball does not reach a height of 24 m

thanks

The ball does not reach a height of 24 m.

What is Parabola?

Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. The topic of conic sections includes parabola, and all of its principles are discussed here.

Given:

The height of the toy cannon all launched is expressed as

h(t)=-5t²+15t+10

a) As, the given equation forms a parabola, the vertex is

t = 15/2 x 5

t = 3/2

So, it reached the maximum height at 3/2

h(3/2) = -5(9/4)+ 15 (3/2) + 10

h(3/2) = 85/4

So, 85/4 < 24 the ball does not reach a height of 24 m.

Learn more about Parabola here:

https://brainly.com/question/21685473

#SPJ2

Express as a unit rate
22 lbs lost in 5 weeks (how many pounds bost per week)

6th grade math show work

Answers

Hi! I believe your answer is 4.4 pounds lost per week. 22 total pounds divided by 5 pounds per week equals 4.4 pounds per week. I hope this helps you! Good luck and have a great day. ❤️✨

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