Geometry - Law of Sines question #17. Please help, I am stuck.

Geometry - Law Of Sines Question #17. Please Help, I Am Stuck.

Answers

Answer 1

By the law of sines, m∠EFG is such that

sin(m∠EFG) / (8 in.) = sin(m∠G) / (7.5 in)

so you need to find m∠G.

The interior angles to any triangle sum to 180°, so

m∠DEG = m∠D + m∠G + 43°

m∠DEG + m∠D + m∠G = 2 (m∠D + m∠G) + 43°

180° = 2 (m∠D + m∠G) + 43°

137° = 2 (m∠D + m∠G)

68.5° = m∠D + m∠G

But ∆DEG is isosceles, so m∠D = m∠G, which means

68.5° = 2 m∠G

34.25° = m∠G

Then

sin(m∠EFG) = (8 in.) sin(34.25°) / (7.5 in)

m∠EFG ≈ sin⁻¹(0.600325) ≈ 36.8932°


Related Questions

A board game has a spinner with four different options of how a player can move: move forward 1 space, move forward 2 spaces, move
backward 1 space, or lose a turn. The probabilities of spinning each option are shown below. A. What is the probability of a player moving forward on his or her turn?
B. What is the probability of a player either moving backwards or losing a turn.

Answers

The answers are:

A. 7/12

B. 5/12

2. Find the volume. *
10 16 8

Answers

Answer:

1280

Step-by-step explanation:

16 times 8(times 10)

Calculate the sum
32+(-40)

Answers

Hopes this helps:

Answer: A: -8

How I know I use this app called Cymath.

What is the slope of a line perpendicular to the line whose equation is x+ 3y = -15 Fully simplify your answer.

Answers

Answer:

3

Step-by-step explanation:

We can find the slope of the given line in this two way:

1) the faster is calculate -a/b where a is the number the multiply x and b is the number the multiply y. In this case we have -1/3

2) the second method is rewrite the equation in slope intercept form and find the therm that multiply x

3y = -x-15

y = -1/3x - 5

Also in this case we have -1/3

Two perpendicular lines have the the product of the their slope that is -1

So the slope that we are finding is 3

In fact = 3 x -1/3 = -1

PLZZZ HELP!!! ILL GIVE BRAILIEST TO WHOEVER ANSWERS FIRST CORRECTLY!!

An amusement park charges $4.25 for admission, plus $1.50 for each ride ticket. Chase has $30 to spend on admission and ride tickets. What is the greatest number of ride tickets Chase can buy?

Answers

Answer:

17 tickets

Step-by-step explanation:

Divide 9 by 2 , then multiple p by the result

Answers

Answer:

9p/2 OR 4.5p

Step-by-step explanation:

9/2 ×p = 9p/2

9/2 =4.5×p

= 4.5p

the answer you are looking for is 4.5p

Hi! Please explain how you got your answer thanks! :)) ​

Answers

Answer:

a + b = 780

Step-by-step explanation:

If we subtract the two equations we can ”eliminate“  a and b and find the value of z.

a-a = 0

b-b = 0

-10z = -700

z = 70

now we have to subistitute this value in the two equations

a + b -4(70) = 500

a + b + 6(70) = 1200

a+b - 280 = 500

a + b + 420 = 1200

If we simplify we have

a + b = 780

a + b =  780

What is the relationship between the side lengths of the white square and the side lengths of the triangles?
es -)
A)
Each side of the white square is congruent to shorter leg of a triangle.
B)
Each side of the white square is congruent to the longer leg of a triangle.
Each side of the white square is the hypotenuse of a triangle.
D)
Each side of the white square is congruent to both legs of the triangles.

Answers

Answer:

C) Each side of the white square is the hypotenuse of a triangle.

Step-by-step explanation:

It can be observed in the diagram that the sides of the white square forms part of the sides of the triangles. Since the triangles formed are right angled, then the longest side of the triangle is the sides of the white square.

Therefore it can be inferred that, each side of the white square is the hypotenuse of a triangle. thus the correct choice of answer is C.

GE = 3x - 11 FD = 2.x Find GE
Can someone help me??​

Answers

Answer:

22

Step-by-step explanation:

Given the following

GE = 3x - 11 FD = 2x

Let us assume GE is parallel to FD, hence GE = FD

3x - 11 = 2x

3x - 2x = 0+11

x = 11

Get GE

GE = 3x - 11

GE = 3(11)-11

GE= 33 - 11

GE = 22

Hence the length of GE is 22

A student wrote the expression -3(8 - 10) as - 24 + 30. Which property did the student use?​

Answers

They used the distributive property.-3(8 - 10)-3 x 8 = -24-3 x -10 = 30-24 + 30Please let me know if I am wrong.

Find the distance between the points given.
(3, 4) and (4,7)
0 212
O 10
03

Answers

the distance between these two points is 3

Find the circumference of a circle with a radius of 5 mm.
A 307 mm
B 57 mm
257 mm
107 mm

Answers

Answer:

31.42

Step-by-step explanation:

circumference of a circle= 2* [tex]\pi[/tex]* r

2* 22/7 * 5 = 31.42 (2 dp)

Please help. Will mark brainliest!!!



Five friends went to an amusement park. The cost of admission per person is x dollars. Three friends paid $30 each for a front-of-line pass. The group had a $20 coupon off the total price. Circle all of the expressions that represent the total cost.

5x + 30 – 20.


3(30) + 2x – 20.


5(x + 30) – 20.


5x + 70


2x + 70.


3(x + 30) + 2x – 20.


3(x + 30 – 20) + 2x.


5x + 10


3(x + 10) + 2x.


3x + 30 + 2x – 20.


3x + 90 + 2x – 20


5x + 30

Answers

Is this bedmas? If so the amusement park would be closed because of 320
I believe is only the first one. I hope it helps :)

Find the exact value of x.
Do the side lengths form a Pythagorean Triple?

Answers

Answer:

x=34

no

Step-by-step explanation:

a=16 b=30 c= x

16^2+30^2= c^2

256+900= c

c=√1156

√1156=34

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

p=9

Step-by-step explanation:

p = 9

isolate the variable by dividing each side by factors that don’t contain the variable

The temperature at 6:00 P.M. in Frostfrozen, Antarctica was "37 °C.
If the temperature dropped 8.1 °during the next hour, what
was the temperature at 7:00 P.M.?

Answers

Answer:

37.0                         Your answer is 28.9 Celsius  

- 8.1

---------

 28.9

Step-by-step explanation:

Fahrenheit:

90.5 Fahrenheit

Celsius:

23.7

Help pleaseeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

5x + 4 ≤ 15

Step-by-step explanation:

Since he has only $15, he cannot surpass this amount, BUT the items he purchase CAN equal the same amount so it'd look like this ≤ 15

$4 of jelly beans is a constant

$5 per pound is a variable : 5x

5x + 4 ≤ 15

Will put brainliest? Plsssssssss help!

Answers

Answer:

C i think

Step-by-step explanation:

Answer:

14,13 ft^2

Step-by-step explanation:

First of all we have to find the radius, that is diameter/2

In this case: 6/2 = 3ft

the area of a circle is:

radius^2 x π

in this case = 3^2 x 3,14 = 28,26 ft^2

The shape is a semicircle so we have to divided the area by two

28,26 : 2 = 14,13 ft^2

The dot plot shows the number of pencils each boy has at his desk in class.
:
++
1 2 3 4 5 6
Number of Pencils at Desk
Find the median for the number of pencils.

Answers

Answer:

The median is 2

Step-by-step explanation:

Here, we want to get the median for the number of pencils

Firstly, we have to write out the numbers that form the box plot ; we have this as;

1,1,1,2,2,2,2,3,3,5

the median is sum of the 5th and 6th term divided by 2

The 5th term is 2

The 6th term is 2

So the median is;

(2 + 2)/2

= 4/2 = 2

12. Determine the missing angle measures.
M<1
M<3

Answers

Answer:

3 is 15 degrees and 1 is 67 degrees

Which function below has the following domain and range?

Domain: {-9,-5,2,6,10}
Range: {-2,0,8}

A: {(-2,-5),(8,10),(0,6),(-2,-9),(0,2)}
B: {(-9,-2),(-5,0),(2,8),(6,5),(10,9)}
C: {(-9,10),(-2,8)}
D: {(2,0),(-5,-2),(10,8),(6,0),(-9,-2)}

Answers

Answer:

D is the right answer because it has all the elements of domain and range

Can somebody plz help answer the number 10’s questions using the diagram from the bottom left side (only if u know how to do this) thx sm! :3

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDD!

Answers

Answer:

10a: △ABC is an Equilateral triangle with all acute angles.

10b: △BCD is A scalene triangle with all acute angles.

10c: △BDE is An Isosceles triangle with one obtuse angle.

Step-by-step explanation:

10) Looking at the diagram at the bottom left;

- △ABC has 3 equal internal angles and as such, it means it will have 3 equal angles.

Thus, we can classify it as; Equilateral triangle with all acute angles.

- △BCD has 3 unequal angles. Thus, it's 3 sides are not equal. Also all the angles are less than 90°.

We can classify it as;

A scalene triangle with all acute angles

- △BDE has 2 equal angles and one angle greater than 90°. This means it has 2 equal sides.

Thus, we can classify it as;

- An Isosceles triangle with one obtuse angle.

The function f(x)=5x5−3x3+1 is/has

Answers

Answer:

15

Step-by-step explanation:

PEMDAS

so do multiplication first

25-9+1

then do addition

25-10

then do subtraction

so

15

Please help me quick

Answers

Answer:

c

Step-by-step explanation:

can i get brainlist because brainly deleted all my answers for no reason

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! waaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

I believe it would be - (n+4) x 2

Step-by-step explanation:

Answer:

2(n + 4)

Step-by-step explanation:

we take her number, n, and add 4

= n + 4

Then we double that. So that can either be 2n + 2(4) = 2n + 8, or 2(n + 4) which tells you to multiply everything in the parentheses by 2.

Please let me know if you have questions.

Help I don’t know the steps

Answers

Answer:

down below

Step-by-step explanation:

straight lines are 180 degrees and you have 2 angles on a line. one of which is 72 and the other is unknown. It is solved for below.

[tex]180=72+x\\180-72=72+x-72\\108=x[/tex]

your missing degree is 108.

i may not be right, if i'm not i am very sorry.

i need help please !!

Answers

Answer:

Step-by-step explanation:

Number of people 41 - 50 who read DIY books = 69

Total number of people = 750

% reading DIY = (69/750) * 100 = 9.2%

If you are using a calculator to find the measure of an angle in degrees, what type of measure might make you question whether your calculator is in radian mode? Explain.

Answers

Answer:

you would do this measure hope this helps

Step-by-step explanation:

Solve. Show all of your work.
1. A construction worker was preparing wood for a project.
He had 1/4 of a meter of wood that he needed to cut
into equal size pieces. If he cut the wood into 6 pieces,
how long will each piece be?

Answers

Answer:

4.17 cm

Step-by-step explanation:

I took 1m=100cm

Then divided the cm by 4 to get the 1/4 of a meter which is 25

25/6 is 4.16repeating so I rounded it up to 4.17.

If your teacher wants it in a fraction I would state it as 25/6 cm

Can anyone help me pls? Ur a legend if u can!

At a middle school 82 students have freckles. There are 352 students at the school. To the nearest tenth of a percent what percent of students have freckles?

Answers

Answer:

23.3%

Step-by-step explanation:

divide

82/352

.2329

aka

23.29%

round

23.3%

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