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
scoundrel [369]
3 years ago
15

An isosceles triangle △ABC with the base BC is inscribed in a circle. Find the measures of angles of the triangle, if measure of

arc BC is 102°.
Mathematics
1 answer:
____ [38]3 years ago
6 0

Answer:

  • angle at A: 51°
  • base angles: 64.5°

Step-by-step explanation:

The measure of the inscribed angle BAC is half the measure of the intercepted arc BC, so is 102°/2 = 51°.

The base angles  at B and C are the complement of half this value, or ...

  90° -(51°/2) = 64.5°

The angle measures in the triangle are ...

  ∠A = 51°

  ∠B = ∠C = 64.5°

You might be interested in
How much will it cost if 12 people come to the party?
saveliy_v [14]

Answer:

y=5x+25

y=5(12)+25

y=85

Step-by-step explanation:

6 0
3 years ago
△ABC is a right triangle. m∠A = 32° m∠B=90°; AC = 9 and AB=5. Choose the expression used to find BC?
Westkost [7]

Answer:

Step-by-step explanation:

The diagram of the right angle triangle is shown in the attached photo.

From the given right angle triangle,

AC represents the hypotenuse of the right angle triangle.

With m∠32 as the reference angle,

BC represents the adjacent side of the right angle triangle.

AB represents the opposite side of the right angle triangle.

To determine BC, we would apply

the Sine trigonometric ratio which is expressed as

Sin θ= opposite side/hypotenuse. Therefore, the expression used to find BC is

Sin 32 = BC/9

BC = 9Sin32

5 0
3 years ago
Read 2 more answers
72 = 9x what's the value of x<br> Please help, thank you
Marta_Voda [28]
X = 8

Hope this helps :)
7 0
2 years ago
Read 2 more answers
465.8 g = blank kg<br><br><br> Plz help if u can !!!!
alina1380 [7]

Answer:

0.4658 kg

Step-by-step explanation:

5 0
3 years ago
One half of a number is -12
Anon25 [30]
N/2=-12  multiply both sides by 2

n=-24

So the number is -24
3 0
3 years ago
Read 2 more answers
Other questions:
  • Please, with work, find the prime factorization of 60 and 140?
    15·2 answers
  • In a right triangle, the acute angles measure x + 15 and 2x degrees. What is the measure of the smallest angle of the triangle?
    8·1 answer
  • (3Q) Find the amplitude and period of f(t)= -tan.0t
    13·1 answer
  • F(x)=x+6 when x= -2, 0, and 5.
    6·1 answer
  • The number of birds in a forest is decreasing by 3% every
    7·1 answer
  • If x = y, then x + 2 =
    5·1 answer
  • Find the product of the monomial and polynomial xyz*(2x+3y^2-3z^2)
    12·1 answer
  • Tennis star Rafael Nadal lost at the Australian Open. How many Grand Slams has he won?
    11·1 answer
  • The time it takes to process phone orders in a small florist/gift shop is normally distributed with a mean of 6 minutes and a st
    13·1 answer
  • Help me with this plss<br>If x^2+1/x^2<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%5Cfrac%7B1%7D%7Bx%5E2%7D%3D10%3B%20the
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!