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
Mariana [72]
3 years ago
7

Find the measurements of the unknown angles in this figure

Mathematics
1 answer:
dem82 [27]3 years ago
3 0

Answer:

x = 30° ; y = 45°

Step-by-step explanation:

Angle subtended by the diameter on any point of the circle is 90°. So,angleRSP = 90°

angleRST = 120° (given)

But,

angleRST = angleRSP + anglePST

=  > 90 + x = 120

=  > x = 120 - 90 = 30

In triangle PQR , PQ = RQ (given)

Hence , it is an isosceles triangle. As it is an isosceles triangle , the base angles are equal.

=> anglePRQ = angleRPQ = y°

anglePQR = 90° (Angle subtended by diameter on any point of circle is 90°)

According to Angle Sum Property of Triangle,

anglePRQ + angleRPQ = anglePQR

=  > 90 + y + y = 180

=  > 2y = 180 - 90 = 90

=  > y =  \frac{90}{2}  = 45

You might be interested in
Start Time 7:30 end time 9:29 what is the elapesed time
rodikova [14]

Answer:

1 min 59sec

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find an orderd pair (x,y) that is a solution to the equation 4x+y=9
Aleksandr [31]

Answer:

Below in bold.

Step-by-step explanation:

4x + y = 9

Let's put x = 0 then:

4(0) + y = 9

0 + y = 9

y = 9

So one. ordered pair that is a solution is (0, 9)

7 0
2 years ago
Bir satıcı sattığı her üründen satış fiyatının 2/9'u kadar kar etmektedir. Bu satıcı 1800 liraya sattığı bir televizyondan kaç l
drek231 [11]

Answer:

400 lira

Step-by-step explanation:

Yukarıdaki sorudan şunu söyleriz: Bir satıcı, sattığı her ürün için satış fiyatının 2 / 9'u kadar kar eder.

Dolayısıyla 1800 liraya televizyon satarsa ​​o televizyondan elde ettiği kâr şöyle hesaplanır:

2/9 × 1800 lira

= 400 lira

6 0
3 years ago
Can I simplest 48/30
brilliants [131]
Yes. it would be 1 and 18/30 or 1 9/15. it can also be 1 and 3/5 or 8/5
7 0
3 years ago
Read 2 more answers
What is the absolute value of -7.5?
Artemon [7]

Answer:

3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • The measure of two angles of a triangle are35° and 45°. What is the measure of the third angle
    8·1 answer
  • A 2-column table with 4 rows. The first column is labeled x with entries negative 5, 1, 4, 6. The second column is labeled y wit
    14·2 answers
  • What’s 20{5[100-3(25+35)+20]}
    15·1 answer
  • 3x-1=1-3x help fast please
    12·2 answers
  • Find the area of both of these trapeziods using the formula (b1 + b2) • h ÷ 2.
    12·1 answer
  • amelia used 6 liters of gasoline to drive 28 kilometers. how many kilometers did amelia drive per liter? at that rate, how many
    15·1 answer
  • Is 4/8 bigger than 4/6
    5·2 answers
  • Solve the system of equations.<br> 3x + 4y = -23<br> x = 3y + 1<br> y =<br> X=
    9·2 answers
  • What is the area of this trapezoid?
    15·2 answers
  • Factor the polynomial using the pattern <br> X^2+9x+18
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!