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
Vlad1618 [11]
2 years ago
9

What is the arc measure of AD in degrees?

Mathematics
1 answer:
ella [17]2 years ago
4 0
∠APD, ∠DPC, ∠CPB are supplementary angles (angles whose sum is 180°). ∠DPC is right angle (angle whose measurement 90°)

Make an expression based on the information above, then solve for x
∠APD + ∠DPC + ∠CPB = 180°
7x + 1 + 90 + 9x - 7 = 180

add like terms
7x + 9x + 1 + 90 - 7 = 180
16x + 84 = 180
16x = 180 - 84
16x = 96
 x = 96/16
 x = 6

The value of x is 6, substitute this value to APD's algebraic expression
∠APD = 7x + 1
∠APD = 7(6) + 1
∠APD = 42 + 1
∠APD = 43

The measurement of ∠APD is 43°
You might be interested in
Resolver:
Dafna1 [17]
Aquí está las respuestas y el trabajo de cada una, si tienes alguna pregunta me envías un mensaje o un comentario

3 0
2 years ago
What is the common ratio between successive terms in the sequence 2,-4,-16,32,-64 .....
Anastaziya [24]
The answer is —2
Each number is multiplied by —2 to get the following number in the pattern

Hope this helps and good luck you can do thissss :)
6 0
2 years ago
If y = x² - 6x + 11 is written in the form y = a ( x - h )² + k, find the value of ( a + h + k).
Crazy boy [7]

Answer:

6

Step-by-step explanation:

y = x² - 6x + 11

Complete the square.

y = x² - 6x + 9 + 2

y = (x - 3)² + 2

a = 1, h = 3, k = 2

a + h + k = 6

4 0
3 years ago
Read 2 more answers
Find an equation of the circle that has center (-1, 3) and passes through (1.<br> 1)
pshichka [43]

Answer:

(x + 1)² + (y - 3)² = 8

Step-by-step explanation:

radius (r): √(1 - (-1))² + (1 - 3)² = √8 = 2√2

Formula for circle with center (h,k): (x – h)² + (y – k)² = r²

(x + 1)² + (y - 3)² = 8

3 0
3 years ago
Read 2 more answers
Which inequality represents the problem? A duck can dive below sea level at a rate of 5 feet per second. How many seconds will i
jok3333 [9.3K]
 it will take the duck 5.8 seconds to reach 29 feet of depth. 

7 0
3 years ago
Other questions:
  • What is 9b minus 3 over 9 equals 5b plus 5 over 3
    13·1 answer
  • Which of the following are solutions to the equation sinx cos(pi/7)-sin(pi/7)cosx=sqrt(2)/2
    14·2 answers
  • Does anyone know how to solve these?
    9·1 answer
  • Which statement regarding the diagram is true?
    7·1 answer
  • Is either x = 5 or x = 15 a solution to 25 - x =5?
    8·1 answer
  • 6. how is twice a number decrease by three is negative seven written as a question A. 2+×_3=7 B. 2×_3=7 C. ×2-3=7 D. (×-3)2=-7​
    14·1 answer
  • Elias and Mark together have $756.80. Elias has $489.50. Write and solve an addition equation to determine how much money Mark (
    12·2 answers
  • A fair coin is flipped three times. Events A and B are defined as: A: there are at least two consecutive heads somewhere in the
    14·1 answer
  • Suppose you have a tablet with a capacity of gigabytes. For a plain text​ book, one byte typically corresponds to one character
    10·1 answer
  • What is the slope of y=-4?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!