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
lord [1]
3 years ago
8

ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc CD = 132°, what is

the measure of ∠ABD? A) 30° B) 36° C) 42° D) 48°

Mathematics
2 answers:
mihalych1998 [28]3 years ago
6 0

Answer:

42

Step-by-step explanation:

......

Sav [38]3 years ago
5 0

Answer:

(B) 36°

Step-by-step explanation:

AB is a secant to the circle and B D is the tangent.

Consider O as the center of the circle.

then ∠A O C =72° and ∠ COD =132°

As OD ⊥ B D [ Line from the center to the point of contact of tangent are perpendicular.]

∠ OD B= 90°

In Δ A O C

O A = O C [radii of same circle]

∠ O A C = ∠ O C A [ If sides are equal angle opposite to them are equal]

∠ O A C  + ∠ O C A +∠ A O C =180° [ sum of angles of triangle is 180°]

2∠O AC+72° = 180°

∠O AC = 108°÷2

∠O AC = 54°

In Δ A B D

∠A B D + ∠A DB+ ∠BAD =180° [angle sum property of triangle]

∠A B D +90° +54° =180°

∠A B D = 180 - 144°

∠A B D =36°

Option (B) is correct.

You might be interested in
2. 93.34 ÷ E = 18.69
blagie [28]
For 2, work backwards. 93.34 divided by 18.69 equals what? That’s your E.
3, use multiplication. 4.30 times 8.60 equals your D.
4, you just do as the problem says.
5, you do the same as number 2.
6, you do the same as 3.

For the word problem, say how someone starts off with 51.15 and has to give that something to 5 people.
4 0
3 years ago
Given two different prime numbers p and q, find the number of different natural divisors of the number. p^m*q^n
IrinaK [193]
The formula for the number of divisors (d) is
  d = (m+1)(n+1)
where this number includes the values 1 and p^m*q^n

_____
This can be generalized to more or fewer prime factors. Add 1 to each of the exponents and form the product of those values.
7 0
4 years ago
Find angle E if angle E and angle F are supplementary, angle E= 2x + 15 and angle F= 5x - 38
miss Akunina [59]

Answer:

Angle E = 73 degrees

Step-by-step explanation:

Supplementary means it equals 180 degrees.

So to find x, you add the 2 equations.

2x + 15 + 5x - 38 = 180

which equals 7x + (-23) = 180 = 7x - 23 = 180

7x = 203  You move the -23 to the other side

203/7 = 29  So x = 29 degrees

So to find angle E, you put in 29 degrees for x.

2 x 29 + 15 = 73 degrees

7 0
3 years ago
1. **Which of the foll byowing is equivalent to y4 x y^8?
andrey2020 [161]

Answer:

<h2><em><u>S</u></em><em><u>O</u></em><em><u>L</u></em><em><u>U</u></em><em><u>T</u></em><em><u>I</u></em><em><u>O</u></em><em><u>N</u></em></h2>

{y}^{4}  \times  {y}^{8}  = y8 + 4 =  {y}^{12}

<h3><em>B</em><em>e</em><em>a</em><em>c</em><em>a</em><em>u</em><em>s</em><em>e</em><em> </em><em>o</em><em>f</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>p</em><em>r</em><em>o</em><em>p</em><em>e</em><em>r</em><em>t</em><em>y</em><em> </em><em>o</em><em>f</em><em> </em><em>e</em><em>x</em><em>p</em><em>o</em><em>n</em><em>e</em><em>n</em><em>t</em><em> </em><em>=</em><em> </em></h3><h3><em>a ^{b}  \times  {a}^{c}  = a ^{b + c}</em></h3>
8 0
3 years ago
Solve the proportion<br> 44/p = 11/5
Sholpan [36]
44   =   11 
----       ----
 p           5    
 
 Cross multiply 

44*5 = 11p 

 You end up with ; 
220    =  11p  

Divide 220 by 11 to get p by itself 

20 = p  <-- that's your answer 
 
hope i helped :)
  
3 0
3 years ago
Read 2 more answers
Other questions:
  • When solving -1/5 (x − 25) = 7, what is the correct sequence of operations?
    7·2 answers
  • Gcf help help plz i need help
    11·2 answers
  • -(-21) = -21 true or false
    9·2 answers
  • For each linear system,tell whether you would multiply the terms in the first or second equation in order to eliminate one of th
    5·1 answer
  • 10 points for 2 questions and i get one wrong whats my percentage??
    13·2 answers
  • For a geometric series represented by ++2+3,..., wherein is the first term and the common ratio, calculate the sum of the first
    15·1 answer
  • Order from least to greatest 4.3, 3.4, 4.5, 3.45
    11·1 answer
  • A binomial event has n = 35 trials. The probability of success for each trial is 0.45. Let x be the number of successes of the e
    11·1 answer
  • Plz help me solve this​
    8·1 answer
  • A line has a slope of 7 and includes the points (-5, a) and ( -6, 1). What is the value of a?​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!