Answer
Find out the measure, in degrees, of angle ABC .
To prove
The relationship between inscribed angles and their arcs
The measure of an inscribed angle is half the measure the intercepted arc.
The formula is
As given in the diagram
The measure of the intercepted arc A to B is 120°.
Put value in the formula
∠ABC = 60°
Therefore the measure of the ∠ABC is 60° .
Answer:
An irrational decimal is a decimal that cannot be written in fraction form
Ex: Pi or any decimal that keeps going and doesn't repeat
Step-by-step explanation:
I would give you more examples but they are all really long numbers and go on forever.
We can see that there are 5 CDs, each of radius 9 cm
<u>Area occupied by 1 disc:</u>
Area of a circle = πr²
Area of disc = π(9)²
Area of disc = 3.14 * 81 = 254 cm²
<u>Area occupied by 5 discs:</u>
Area occupied by 5 discs = Area occupied by 1 disc * 5
Area occupied by 5 discs = 254 * 5
Area occupied by 5 discs = 1270 cm²
Answer:
Step-by-step explanation:
We know by the Triangle Angle-Sum Theorem that the angles of a triangle all add up to equal 180. So we find angle B:
180 - 82 - 55 = 43
So angle B = 43. Now we can use the Law of Sines to solve for side b:
Cross multiply to get
b sin(55) = 8 sin(43) and divide to solve for b:
so
b = 6.6605
Answer:Let t = cost per pound of turkey
Let h = cost per pound of ham
4t + 2h = 30
t = h - 1.5
substitute h-1.5 in place of t in 1st equation
4(h-1.5) + 2h = 30
4h - 6 + 2h = 30
6h - 6 = 30
6h = 36
h = 6
t = h-1.5 = 4.5
1 pound of turkey costs $4.50
1 pound of ham costs $6.00
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cost of 1 pound each $10.50
Step-by-step explanation:
