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
Wewaii [24]
2 years ago
15

Find the measure of each angle listed below. Enter only numbers without space.

Mathematics
1 answer:
Sloan [31]2 years ago
7 0

9514 1404 393

Answer:

  1. ∠PTQ = 45°
  2. ∠QTR = 15°
  3. ∠PTS = 120°

Step-by-step explanation:

Parallelogram PTSR is divided into two equilateral triangles by diagonal RT. All of the acute angles in that quadrilateral are 60°, and the obtuse angles are 120° (2×60° and also the supplement of 60°).

Triangle PTQ is an isosceles right triangle, so its acute angles are 45°.

  ∠PTQ = 45°

  ∠QTR = ∠PTR -∠PTQ = 60° -45°

  ∠QTR = 15°

  ∠PTS = 120° . . . . . . obtuse angle in PTSR; sum of ∠PTR and ∠RTS

You might be interested in
ABC and DEF are complementary angels. 73, What is the measurement of x?
Olegator [25]
Assuming x is the missing angle, and knowing that complimentary means 90, subtract 90-73 to get 17.
5 0
2 years ago
Elena is trying to figure out how many movies she can download to her hard drive. The hard drive is supposed to hold 500 gigabyt
soldi70 [24.7K]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Maximum capacity of hard drive = 500 GB

Space used up = 58 GB

Size per movie = 8GB

Number of movies = x

1)

[(Number of movies * size per movie) + used up space] should be less than or equal to the maximum capacity to f the drive.

From Elena's inequality, the total space taken up by movies + used up space is greater than total capacity of hard drive.

That is ;

[(8x + 58 ≤ 500

8x ≤ 500 - 58

8x ≤ 442

x ≤ 442 / 8

x ≤ 55.25

The maximum number of movies Elena can download is 55

8 0
3 years ago
Jonathan is making his favorite pasta dish. He serves his mom 1/12 of the pot of pasta and his brother 1/6 of the pot. How much
Lerok [7]
1/6 also is 2/12. So, there is 9/12 of the pasta left.
3 0
3 years ago
Read 2 more answers
BNHA fans whats your favorite pairing/duo and why?
igor_vitrenko [27]

My Favorite paring from BNAH has to be Honestly be Kirishima and Bakugou cause Kiri and Baku have made such an amazing bond over the time of the anime also I would Love to know yours and your opinion. Peace out

:P :D

4 0
3 years ago
Evaluate the expression t-6/4 for t =38
Finger [1]

Answer:

Exact Form:

73  over 2

Decimal Form:

36.5

Mixed Number Form:

36   1 over 2

Step-by-step explanation:

Substitute the value of the variable into the equation and simplify.

8 0
3 years ago
Other questions:
  • During the flight from New Delhi to Tokyo, flight attendants came through with snacks every 600 km. How many times did they come
    7·2 answers
  • HELP ASAP GIVING BRSINLIST
    9·1 answer
  • Based on the polynomial remainder theorem, what is the value of the function when x = 4? f(x)=x4−2x3+5x2−20x−4
    15·2 answers
  • Find the distance between the points given.<br><br> (-10, 3) and (-10, 12)<br><br><br> 9<br><br> 15
    7·2 answers
  • Which point is in the solution set of this system inequalities?
    8·1 answer
  • Solve the following system of equations.
    7·1 answer
  • Find all real zeros of the function y=-7x+ 3.
    12·2 answers
  • The original price of the shirt is $50 but you paid $30 for it on sale what was the percentage change in price
    12·1 answer
  • Which expression is equivalent to twelve eighteenths? (
    15·1 answer
  • Translate to an inequality. Use the variable x.<br> A number is less than 15.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!