1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
V125BC [204]
3 years ago
8

Based on the diagram shown, find θ to the nearest degree.

Mathematics
1 answer:
sattari [20]3 years ago
8 0

Answer:

  θ = 38°

Step-by-step explanation:

The lower right triangle is congruent to the upper left triangle, so we have θ and 20° being the two acute angles in the triangle. The law of sines tells you ...

  sin(θ)/9 = sin(20°)/5

  sin(θ) = (9/5)sin(20°)

  θ = arcsin(9/5·sin(20°)) ≈ 38°

___

Another solution to the triangle is θ = 180° -38° = 142°. The diagram clearly shows θ as an acute angle, so we take this second solution to be extraneous.

You might be interested in
Toni can carry up to 18 Ib in her backpack. Her lunch weighs 1 1b,her gym clothes weigh 2 1b, and her books (b) weigh 31b each.H
Goshia [24]

Answer:

5 books.

Step-by-step explanation:

She can carry 18 pounds in total. She already has her lunch and her gym clothes inside her bag, which take up 1 + 2 = 3 pounds. Since 3 pounds are taken, that leaves 18 - 3 = 15 pounds for her books. Each book is 3 pounds, so she can carry 15/3 = 5 books in her backpack.

4 0
3 years ago
REE PLEASE HELP ASAP!!!!!
Drupady [299]

the last one i think

3 0
2 years ago
Which of the following is the most appropriate unit to describe the rate at which a person reads?
alukav5142 [94]
<span>C; words per minute, because the independent quantity is the minutes.

hope this helps!
</span>
6 0
3 years ago
What is the value of x if f(x) = 23
lilavasa [31]

Answer:

in f (x)= x

here x=x so answer is 23

8 0
2 years ago
HELP!!!!!!!!! ASP
Anarel [89]

Answer:

D

Step-by-step explanation:

What you need to do is find the slope of both lines. Perpendicular lines are the negative inverse of each other. The slope of the lie between points R and F is  (2-4)/(1+9)=-1/5. Now you need to find the line where the slop is 5. If you look at D, the slope of the line those points lie on is (25-15)/(4-2)=5 which makes D the answer.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Farmer produced an average of 17.1 liters of milk per day. How many days will it take to produce 200 liters of milk
    8·1 answer
  • Serious answers only please. The question is in the photo.
    5·1 answer
  • What is the point of intersection of the x-axis and the y-axis called?
    7·2 answers
  • Which of the following mathematical symbols represents "the opposite of"?
    9·2 answers
  • Express as an ordinary number.<br> 6.983 x 10^4
    11·1 answer
  • You have $30 to buy baseball cards. each pack of cards costs $5. write and solve an inequality that represents the number of pac
    12·1 answer
  • Determine if the following triangle is a right triangle or not using the Pythagorean theorem converse. Triangle with side length
    10·1 answer
  • Need help for this problem here!<br> See attached
    8·1 answer
  • Please help. Stuck here.
    14·1 answer
  • (04.04 MC)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!