We have a line tangent to the circle with center B at point C. We know that the angle formed between the tangent line at the point of intersection to the line extended from that point to the center of the circle is equal to 90°. In the problem, the 90° is for ∠BCA. We also know that the summation of all angles in a triangle is 180°. We have the solution below for the ∠BAC
180°=∠BAC + ∠BCA + ∠ABC
180°=∠BAC + 90° + 40°
∠BAC =50°
The answer is 50°.
Answer:
A: 71°
Explanation:
The interior angles of a triangle must always equal 180°.
We have two of the angles, and if we add them up and subtract it from 180°, we can get the missing angle.
49+60+x=180
Add 49 and 60
109+x=180
Isolate the x, so subtract 109 from 180
x=71°
Answer:The formula for a combination of choosing r unique ways from n possibilities is:
nCr = n!
r!(n - r)!
where n is the number of items and r is the unique arrangements.
Plugging in our numbers of n = 10 and r = 0, we get
10C0 = 10!
0!(10 - 0)!
10C0 = 3,628,800
3,628,800
First, how much did you spend on the 8 gumdrops at 2 cents a piece?
8 gumdrops at 2 cents a piece is 16 cents
8 gumdrops x 2 cents = 16 cents
So, if you have 16 cents to spend on gumdrops and they are 8 cents a piece, how many can you buy?
16 / 8 = 2
You can buy 2 gumdrops for the same amount of money.
Answer:
Step-by-step explanation:
Is there a picture