ZEFG and ZGFH are a linear pair, mZEFG = 3n+ 21, and mZGFH = 2n + 34. What are mZEFG and mZGFH?

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

∠EFG and ∠GFH are a linear pair, m∠EFG = 3n+ 21, and m∠GFH = 2n + 34. What are m∠EFG and m∠GFH?

Solution:

Two angles are said to form a linear pair if they share a base. Linear pair angles are adjacent angles formed along a line as a result of the intersection of two lines. Linear pairs are always supplementary (that is they add up to 180°).

m∠EFG = 3n + 21, m∠GFH = 2n + 34. Both angles form linear pairs, hence:

m∠EFG + m∠GFH = 180°

3n + 21 + (2n + 34) = 180

3n + 2n + 21 + 34 = 180

5n + 55 = 180

5n = 125

n = 25

Therefore, m∠EFG = 3(25) + 21 = 96°, m∠GFH = 2(25) + 34 = 84°


Related Questions

Please helpppppp 7th grade math

Answers

Answer:

A    1 cup

Step-by-step explanation:

Number of batches

24/6 = 4

Cups needed

1/4 * 4 = 1

Answer: A 1 cup. Hope this helps

Which of the following best describes using a slope of -5/10 on a graph?

O Move up 5 and right 10.
O Move left 5 and up 10.
O Move down 5 and right 10.
O Move down 5 and left 10.

Answers

Answer:

move down five and move right ten

Shante is calculating the amount of time it takes a rocket to get to the moon. The moon is around 239,000 miles from Earth. How many hours would it take a rocket that can travel at 200 miles per minute to travel to the moon? Round to the nearest hour.

Answers

Answer:

20 hours

Step-by-step explanation:

Mathematically we know that;

time = distance/ speed

distance = 239,000 miles

Time = 200 miles per minute

time = 239,000/200 = 1195 minutes

Let us convert this to hours by dividing by 60 (since 60 minutes equal an hour

So we have 1195/60 = 19.91

This is approximately 20 hours

Answer:

D

Step-by-step explanation:

20 hours

which expression is equal to: 3c (1/3 d-9) -7(c-1) + d(c + 4)?
A. 2cd + 8c + 4
B. 2cd + 34c + 4d + 7
C. 2cd - 34c + 4d + 7
D. 2cd - 7c - 4

Please include steps!​

Answers

Answer:

c

Step-by-step explanation:

What is the volume of a hemisphere with a radius of 4.3cm rounded to the nearest tenth of a cubic centimeter

Answers

Answer:

166.59 cm³ (approx.)

Step-by-step explanation:

What is the value of X enter your answer in the box

Answers

Answer:

x = 27

Step-by-step explanation:

The segment in the triangle bisects ∠ BAC and divides the opposite side into segments that are proportional to the other 2 sides , that is

[tex]\frac{x+8}{2x-5}[/tex] = [tex]\frac{10}{14}[/tex] ( cross- multiply )

10(2x - 5) = 14(x + 8) ← distribute parenthesis on both sides

20x - 50 = 14x + 112 ( subtract 14x from both sides )

6x - 50 = 112 ( add 50 to both sides )

6x = 162 ( divide both sides by 6 )

x = 27

To solve for the value of x you need to use and setup proportions then cross multiply then solve for the isolated variable

Three golf balls are stored in a square prism container with a height of 6 inches and a base edge of 2

inches. The diameter of a golf ball is 1.68 inches.

Find the amount of space within the square prism not taken up by the golf balls.

6 in

2 in

2 in

O 21.5 in

O 7.4 in

O 16.6 in

O 31.4 in

Answers

Answer:

16.6 in

Step-by-step explanation:

Amount of space left = volume of prism - volume of 3 golf balls

volume of prism = base area x height

base area = area of a square  = length² = 2² = 4

volume = 4 x 6 = 24

Volume of a sphere = 4/3 x pi x r^3

r = 1.68/2 = 0.84

4/3 x 3.14 x 0.84^3 = 2.48

volume of 3 balls = 2.48 x 3 =

Find the measure of the largest angle.

Answers

Answer:

4x-7

Step-by-step explanation:

Solve for x:

180 = 44 + 3x - 11 + 4x - 7

Combine like terms: 180 = 26 + 7x

Simplify: 154 = 7x

Simplify: 22 = x

Substitute: 3(22) - 11 = 55 and 4(22) - 7 = 81

Create inequality: 44 < 55 < 81

Hope this help!!!

Have a nice day!!!

A researcher posts an online advertisement offering $25 in exchange for participation in a short study. The researcher accepts the first 10 people who respond to the advertisement. Which of the following statements is true about the sample? (1 point)

a
It is not a valid sample because it is only a short study.

b
It is a valid sample because money was offered to participants.

c
It is a valid sample because the first 10 people were selected to participate.

d
It is not a valid sample because it is not a random sample of the population.

Answers

Answer:

A

Step-by-step explanation:

The study only consisted of 10 people. 10 people are not enough to come to a concrete conclusion for a project. Hope this helps!!

Answer:

A) It is not a valid sample because it is only a short study.

En la figura se muestran dos bloques de m1= 0,8 Kg y m2= 0,2 kg si el bloque de masa m2 es arrastrado por el bloque masa m1 calcular la aceleracion del sistema y la aceleracion de la cuerda

Answers

Answer:

The acceleration in the system and in the rope is same as 5.88 m/s2.

Step-by-step explanation:

The figure shows two blocks of m1 = 0.8 Kg and m2 = 0.2 kg if the block of mass m2 is dragged by the block of mass m1 calculate the acceleration of the system and the acceleration of the rope

Let the acceleration is a and the tension in the string is T.

Use Newton's second law

[tex]m_1 g - T = m_1 a ..... (1)\\\\T -m_2 g = m_2 a ......(2)\\\\Add both of them \\\\(m_1 - m_2) g = (m_1 + m_2) a \\\\(0.8-0.2)\times9.8 = (0.8+0.2)a\\\\a = 5.88 m/s^2[/tex]

PLEASE HELP FAST, THANKS

Answers

Answer:

c=66 a=35 b=74

Step-by-step explanation:

According to the sum of the internal angles of the triangle is 180 °, The degree of each angle can be calculated

pls help me ???????????????????

Answers

Answer:

Hi‍♀️

Step-by-step explanation:

ΔMAN≅ΔNED

ΔRED≅ΔRGD

ΔLAN≅ΔLEI

ΔRKI≅ΔIYC

Hope it helps you!

transforma in metri:
a) 7 dam
b)350 dm
c) 57 000 mm
d) 0,5 km
e)750 cm
f) 5,7 dam

Answers

Answer:

a) 70 m

b) 35 m

c) 57 m

d) 500 m

e) 7.5 m

f) 57 m

Step-by-step explanation:

10 dm = 100 cm = 1 m.

1 dam = 10 m

1 km = 1000 m

100 cm = m

Correct ☑ ✔ Question :-

Transform in metre

a) 7 dam

b) 350 dm

c) 57000 mm

d) 0.5 km

e) 750 cm

f) 5.7 dam

Solution ✔

a) 7 dam

1 dam = 10 m

so, 7 dam = 7 × 10 m = 70 m

b) 350 dm

10 dm = 1 m

so, 350 dm = 350/10 = 35 m

c) 57000 mm

1000 mm = 1 m

so, 57000mm = 57000/1000 = 57 m

d) 0.5 km

1 km = 1000 m

0.5 km = 1000 × 0.5 = 500 m

e) 750 cm

100 cm = 1 m

750 cm = 750/ 100 = 7.5 m

f) 5.7 dam

1 dam = 10 .

5.7 dam = 5.7 × 10 = 57 m

Find the value of x (No explanation please :)

Answers

Answer:

48

Hope this helps!

HELP for these 2 !!! it’s asking if it’s a function or not

Answers

they are both not functions, they have repeating numbers

Subtract one half of a number from 10

Answers

Answer:

10-1/2n

hope this helps

have a good day :)

Step-by-step explanation:

Which is equivalent to 5.253 × 10-²?

Answers

Step-by-step explanation:

equivalent to 5.253 × 10-² is 0.05523

hope it is helpful to you

What is the volume of this rectangular prism?
5 cm
3 cm
4 cm

A. 12 cm3
B. 94 cm3
C. 120 cm3
D. 60 cm3

Answers

Answer:

The volume of this rectangular prism is D. 60[tex]cm^{3}[/tex].    

Step-by-step explanation:

In order to find the volume of a rectangular prism, we need to multiply the length by the width, and then multiply their product by the height of the prism. We can write what I said above as a formula...

V = l × w × h    

(In the formula above "V" is the volume, "l" is the length, "w" is the width, and "h" is the height).

Now we just substitute the values into the formula and we get...

V = l × w × h    

V = 4cm × 3cm × 5cm

V = 60[tex]cm^{3}[/tex]

Therefore, the volume of this rectangular prism is D. 60[tex]cm^{3}[/tex].    

A plumber charges $30.00 per call plus $25.00 per hour. If a certain repair cost $80.00, how long does it take?

Answers

Answer:

2 hours

Step-by-step explanation:

Y=25x+30

80=25x+30

50=25x

2=x

Which relation is a function?

Answers

I might be wrong or right but it’s might be the one with the circle
The fourth choice, bottom right, or the choice you have selected is correct.
To tell us a graph is a function. They must pass the vertical line test. So if u were to draw a line straight down from an x axis, the line should not intercept the relation on the graph twice. Therefore the answer is bottom right

No stealing points!!!!!

Answers

Answer:

8.74x10^5

Step-by-step explanation:

I think this is it..hope it helps

8.8*10^5 - 6000 = 874000 =8.74 x 10^5 in scientific notation.

Greatest common factor for 63u^5, 45u^4, 27u

Answers

Answer:

9 u ^2

Step-by-step explanation:

Answer:

9u

Step-by-step explanation:

Greatest common factor for 63[tex]u^{5}[/tex], 45[tex]u^{4}[/tex], and 27u.

We can all divide them by 9, and that is the furthest we can get.

For the variables, the furthest we can get is u.

In conclusion, the greatest common factor for 63[tex]u^{5}[/tex], 45[tex]u^{4}[/tex], and 27u is 9u.

Work Out The Answers

Answers

Answer:

A1.) 87 + 63 =150

180 - 150 = 30

all the As is the same formula....

B1.) 180 - 123 = 57

57 + 82 = 139

180 - 131 = 41

The graph of the function f(x)= x²-3 is translated. The new function rule is f(x)= x²-1.

Which statement is true?

a. Every point on the graph is shifted down 1 unit.

b. Every point on the graph is shifted left 1 unit.

c. Every point on the graph is shifted right 2 units.

d. Every point on the graph is shifted up 2 units.

Answers

Answer:

Step-by-step explanation:

The function translation / transformation rules: f (x) + b shifts the function b units upward. f (x) – b shifts the function b units downward. f (x + b) shifts the function b units to the left.

so it should be d

The triangles shown below are similar. Find the length of QS.

Answers

Answer: The value of QS is 8 cm.

Step-by-step explanation:

First calculating the side QT.

As per given figure:

ΔPQT ≈ ΔRST

[tex]\frac{PQ}{RS}=\frac{QT}{ST}[/tex]

Given:

PQ = 9 cm

RS = 3 cm

ST = 4 cm

Now putting all the given values in the above expression, we get:

[tex]\frac{PQ}{RS}=\frac{QT}{ST}\\\\\frac{9cm}{3cm}=\frac{QT}{4cm}\\\\QT=12cm[/tex]

Now calculating the value of QS.

QT = QS + ST

12 cm = QS + 4 cm

QS = 12 cm - 4 cm

QS = 8 cm

Thus, the value of QS is 8 cm.

Identify the lines that are perpendicular: Line 1: y=4 Line 2: y=1/5x-5 Line 3:y=8 Line 4:y+5=-5(x+1)

Answers

Answer: Lines 2 and 4 are perpendicular.

If the number of students taking online courses is increasing at a rate of 7% per
year, how long would it take for the number of students taking online courses to
double?
a) about 28.57 years
b) about 2.8 years
c) about 14.3 years
d) about 10.24 years

Answers

Answer:

it will take about 14.3 years

Ayuda es urgente porfavor

Answers

the answer is A



… hope this helps

Find the area of
A triangle with a base of 8 units and a height of 13 units

Answers

Answer:

52 units squared

Step-by-step explanation:

[tex]13 \: units\: \times 8 \: units \div 2[/tex]

can someone do my summer school work??​

Answers

Answer:

no i can't do all of it, but i can help you do it

i just won't do it for you

Other Questions
How to solve for this? Need help ASAP Create a conditional expression that evaluates to string "negative" if userVal is less than 0, and "non-negative" otherwise. Ex: If userVal is -9, output is:-9 is negative. PLEASE USE C++ When the pH of a solution is changed from 4 to 3, the hydronium ion concentration of thesolutionA)increases by a factor of 10B)decreases by a factor of 100C)increases by a factor of 100D)decreases by a factor of 10 Help is needed please What is the translation shown in the graph? Which of these is an example of a prosthesis?A. A hearing aidB. A textbookC. GlovesD. A pair of boots What is the volume of three cubes, each with a side length of fraction 1 over 3 foot? V = s3, where s is the side length. fraction 1 over 3 ft3 fraction 1 over 2 ft3 fraction 1 over 9 ft3 fraction 1 over 27 f (x+0)(x+5) what does this mean im confused whats the answer Analyze the market for textbooks if printing costs for textbooks decrease due to the use of synthetic paper. What is the English translation of the word detente 7.8 is what percent of 78? Use a number line to find the difference. -2 - (-6) Match each excerpt to the type of characterization it contains. direct characterization indirect characterization Reset Next 3 liters split into 10 people equally? You are thinking of buying a new tent. Look at the dimensions given below.What is the perimeter of the tent's porch?. Find the critical points of the given function and then determine whether they are local maxima, local minima, or saddle points.f (x, y) = x^2 + y^2 + 2xyf(x,y)=x 2 +y 2 +2xy Explain the role of social media w4.12. The Violation of human rights. Give an example What are the units for impulse?m/sKgNsNewtons http://history.hanover.edu/courses/excerpts/111boss.htmlPlz help?!!! What would cause an economy to be producing at a point inside its production possibilities curve?