Please Help!

angle EFG and angle GFH are a linear pair, m angle GFH= 2n+38 and m angle GFH=2n+38. what are m angle EFG and m angle GFH

motikmotik

Answer:

Part 1) m∠EFG=94°

Part 2) m∠GFH=86°

Step-by-step explanation:

we know that

m∠EFG+m∠GFH=180° -----> by linear pair (given problem)

we have

m∠EFG=3n+22

m∠GFH=2n+38

substitute the values

(3n+22)°+(2n+38)°=180°

Solve for n

(5n+60)=180

5n=180-60

5n=120

n=24

<em>Find the measure of angle EFG</em>

m∠EFG=3n+22

substitute the value of n

m∠EFG=3(24)+22=94°

<em>Find the measure of angle GFH</em>

m∠GFH=2n+38

substitute the value of n

m∠GFH=2(24)+38=86°

5 0

3 years ago

Read 2 more answers

What is the surface area of the solid shown below?

Ugo [173]

Answer:

$\text{C. }156\:\mathrm{cm^3}$

Step-by-step explanation:

The surface area of the triangular prism consists of three rectangles and two triangles.

Rectangle One - 5 x 12 = 60 cm^2

Rectangle Two - 4 x 12 = 48 cm^2

Rectangle Three - 3 x 12 = 36 cm^2

Triangles - 2 x 1/2 x 3 x 4 = 12 cm^2

Thus, the total surface area of the solid is $60+48+36+12=\boxed{\text{C. }156\:\mathrm{cm^3}}$

8 0

2 years ago

Selecciona el polinomio que esta en forma estandar:

anygoal [31]

Answer:what is this

Step-by-step explanation:

3 0

2 years ago

En un examen calificado del 0 al 10, 3 personas obtuvieron 5 de nota, 5 personas obtuvieron 4 de nota, y 2 personas obtuvieron 3

Nastasia [14]

Answer:

Media = 4.1

Mediana = 4

Moda = 4

Step-by-step explanation:

3 personas obtuvieron 5 puntos

5 personas obtuvieron 4 puntos

2 personas lograron 3 puntos

a. La media se da como:

Media = suma total de marcas / número de personas

Por lo tanto, la media será:

$M = \frac{((3 * 5) + (5 * 4) + (2 * 3)}{10}\\ \\M = \frac{15 + 20 + 6}{10} \\\\M = \frac{41}{10}\\ \\M = 4.1$

b. Para obtener la mediana, tenemos que organizar los términos en consecuencia y encontrar el número en el medio.

3, 3, 4, 4, 4, 4, 4, 5, 5, 5

Como no hay un número único en el medio, la mediana es:

(4 + 4) / 2 = 8/2 = 4

c. La moda es el número que aparece más, y eso es 4

8 0

2 years ago

Find the regression line associated with the set of points. (Round all coefficients to four decimal places.) HINT (See Example 2

horrorfan [7]

The equation of the regression line is : Ŷ = 0.8571+0.8878X

Given the set of points :

(1, 2), (4,4), (9,9)

X axis : ___ Y axis

1 ___________2

1 ___________2 4 __________ 4

1 ___________2 4 __________ 4 9 __________ 9

The regression line associated could be obtained using technology such as excel, linear regression solvers or a graphing calculator.

Using technology :

Input the values of X and Y into their appropriate column and plot :

The regression equation obtained is :

Ŷ = 0.8571 + 0.8878X

Where :

Ŷ = predicted value of Y(dependent variable)

X = Independent variable

Slope = 0.8878

Intercept = 0.8571

The regression plot is attached below

Learn more : brainly.com/question/18405415?referrer=searchResults

7 0

2 years ago