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
Ivenika [448]
3 years ago
5

Find the angel x in d diagram above with a well structured solution.Thanks​

Mathematics
1 answer:
Tom [10]3 years ago
5 0

Step-by-step answer:

Please refer to attached image.

1. Quad PQRS is cyclic (all vertices on the same circle), so opposite angles are supplementary, meaning

  that

  angles QPS and QRS are supplementary =>

  QPS+QRS=180   =>

  QRS = 180 - 74 = 106

2. Triangle RSQ is isosceles with RS=RQ =>

   angles RSQ and RQS are congruent.

3. Angle RSQ = (180 - 106) /2 = 74 / 2  = 37

4. QP is a diameter => angle QSP is a right-angle.

5. From (3) and (4) above,

  angle RSP = 37+90 = 127

6. Since PQRS is cyclic, angles RQP  and RSP are supplementary =>

   RQP+RSP = 180   =>

   x + 127 = 180   =>

   x = 180 - 127 = 53 degrees.

You might be interested in
During a four-week period, you worked the following hours: Week 1- 363 /8 hr; Week 2- 411 /4 hr; Week 3- 401 /2 hr; Week 4- 383
Dafna11 [192]
The average number of hours can be calculated using the following rule:
average number of hours = total number of hours / total number of weeks

total number of hours = 36 3/8 + 41 1/4 + 40 1/2 + 38 3/8 = 313/2 hours
total number of weeks = 4 weeks

Average number of hours per week = (313/2) / (4) = 39 1/8 hour

Based on the above calculations, the correct answer is:
C. 39 1/8 hour
4 0
3 years ago
10 divided by 12 yeah
padilas [110]

Answer:

10 divided by 12 equals 0.833333333

8 0
3 years ago
What is the midpoint ?
inn [45]

Answer:

Step-by-step explanation:

A(-5,-4)  B(-3, 3)

(-5 + -3)/2 = -8/2= -4

(-4 + 3)/2 = -1/2

(-4, -1/2) the midpoint

8 0
3 years ago
Joe has 5 dimes and 4 pennies. Jamal has 2 dollars, 4 dimes, and 5 pennies. Jimmy has 6 dollars and 4 dimes. They want to put th
sesenic [268]

Answer:

no they had $9.39

Step-by-step explanation:

i just added them all together

3 0
3 years ago
The fourth grade wants to observe Martin Luther king day. They can show a video about his life or have a guest speaker. They can
nalin [4]
The anwser is 6 possible combinations.

8 0
3 years ago
Other questions:
  • A scale drawing has a scale of 1/4in:12ft. Find the length on the drawing for each actual length. 15 ft.
    10·1 answer
  • These two problems please help
    11·1 answer
  • 14,140,000 in scientific notation
    12·1 answer
  • PLEASE SOMEONE HELP ME ON THIS
    12·2 answers
  • Im kind of confused<br> What am i supposed to do?
    8·1 answer
  • During his summer vacation, Alex spent 6 minutes riding his bike for every minute he spent watching television. If he rode his b
    10·2 answers
  • Please help will give Brainliest
    10·1 answer
  • What is the volume of the following rectangular prism pls help me I’m being timed
    6·1 answer
  • A student says that if 5x2 = 20, then x must be
    6·1 answer
  • What is 7 more than the sum of 6 and t please help
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!