All categories

3 years ago

What is the measure of arc BC? 130 65 32.5 180

Mathematics

1 answer:

ale4655 [162]3 years ago

7 0

Answer:

The measure of arc BC is 130° ⇒ 1st answer

Step-by-step explanation:

In a circle:

The measure of an arc is equal to the measure of the central angle subtended by it
The measure of an arc is equal to double the measure of the inscribed angle subtended by it
Central angles subtended by the same arc are equal in measures
Inscribed angles subtended by the same arc are equal in measures
The measure of central angle is double the measure of the inscribed angle which subtended by its arc

∵ Angle BDC is an inscribed angle

∵ It is subtended by the arc BC

- By using the 2nd fact above

∴ The measure of arc BC = 2 × the measure of ∠BDC

∵ The measure of angle BDC is 65 degree

∴ The measure of arc BC = 2 × 65°

∴ The measure of arc BC = 130°

The measure of arc BC is 130°

You might be interested in

Please help please !!!

Kobotan [32]

<h3>Answer: 12</h3>

========================================================

Explanation:

You can use the AAS (angle angle side) theorem to prove that triangle ABD is congruent to triangle CBD.

From there, we can then say that AD and DC are the same length

AD = DC

3y+6 = 5y-18

3y-5y = -18-6

-2y = -24

y = (-24)/(-2)

y = 12

6 0

2 years ago

A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Tourist Information Center

deff fn [24]

Given :

The Tourist Information Center is located at (11,0) and the Bus Station is located at (-1,-10).

Also , Tourist Information Center is between a Bus Station and a Train Station.

To Find :

The point of location of train station .

Solution :

Let , point of location of train station is ( x,y ).

We know , mid-point of two points ( a, b) and ( c, d ) is given by :

$(\dfrac{a+c}{2},\dfrac{b+d}{2})$ .

Since , Tourist Information Center is between a Bus Station and a Train Station.

So , it is given by :

$( 11 , 0 ) = (\dfrac{-1+x}{2},\dfrac{-10+y}{2})$

Comparing both coordinate :

$\dfrac{x-1}{2}=11\\\\x=22+1\\\\x=23$

and

$\dfrac{y-10}{2}=0\\\\y=10$

Therefore , Train Station is located at point ( 23 , 10 ) .

Hence , this is the required solution .

3 0

3 years ago

If x is a positive integer, then x is _____ negative.

faltersainse [42]

A. never

because you are limiting x from 0 to infinite, and all of these are positive.

3 0

2 years ago

3. A technician worked 45 hours in one week He gets paid double for every hour over 40 hours that he works. If his regular wage

8090 [49]

Answer: 41,250$ (I think)

Step-by-step explanation:

1 hour —> 825$

40 hours —> 825$ x 40 = 33,000$

The after the 40 hours he gets paid x2 and he works for 5 hours

1 hour —> 825$ x 2 = 1,650$

5 hours —> 1650$ x 5 = 8,250$

33,000 + 8,250 = 41,250$

6 0

3 years ago

Kobe wants to purchase 8 marbles from the store. Each marble costs $.29, he has $2.00 in his pocket. Does kobe have enough money

tatiyna

Answer:

Step-by-step explanation:

8 marbles cost $2.32. He needs 32 more cents.

3 0

3 years ago

Read 2 more answers