What is the measure of angle A?

Mathematics

2 answers:

fredd [130]2 years ago

6 0

Answer:

132°

Step-by-step explanation:

The measure of arc CB is 2 times 48. (An inscribed angle is one-half the measure of its intercepted arc. The intercepted arc is angle CDB). Arc CB is 96, and angle COB is 96 (An arc is congruent to its central angle, vice versa).

An exterior angle is equal to one-half the difference of its two intercepted arcs. The two intercepted arcs of angle A are major arc CDB and minor arc CB. CDBC (all the way around) has to equal 360, so 360-96=264. One-half of that is 132°, the measure of ∠A.

Ilya [14]2 years ago

3 0

Answer:

Step-by-step explanation:

O is double D. And A is equal to O. Hence 2*48=96

You might be interested in

Many fences in a rectangular area for his dog to play in the backyard. The area measures 35 yards by 45 yards .What is the lengt

klasskru [66]

Answer:

ITS 160

Step-by-step explanation:

6 0

3 years ago

Find dy/dx using implicit differentiation cos x + sin y = 1

777dan777 [17]

Differentiate both sides with respect to x, using the chain rule for the sine term:

$\cos(x) + \sin(y) = 1$

$\implies -\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0$

Solve for dy/dx :

$-\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ \cos(y) \dfrac{\mathrm dy}{\mathrm dx} = \sin(x) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\sin(x)}{\cos(y)}}$