Given:
A diagram of a circle O,
.
To find:
The measure of arc DC.
Solution:
According to the angle of intersecting chords theorem:
Angle at intersection of chords = Half of the sum of intercepted arcs.
Let
be the angle between the intersection of chords AC and BD.
(Linear pair)

Using the angle of intersecting chords theorem, we get



On simplification, we get



Divide both sides by 2.

Now,



Therefore, the correct option is C.
1) what law of exponent is being described in the given ?
y⁴ x y⁷ = y¹¹
<h3>Answer :- Product of Powers ✓ </h3>
- When numbers with the same base are multiplied, the power of the product is equal to the sum of the powers of the numbers.
- If 'a' is a non-zero integer, and 'm' and 'n' are whole numbers then, am × an = am+n.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
2) what law of exponent is being described in the given ?
(m⁵n³)² = m²x^²n³x^²
<h3>Answer :- Power of a product ✓ </h3>
- We use the power of a product rule when there are more than one variables being multiplied together and raised to a power.
- The power of a product rule tells us that we can simplify a power of a power by multiplying the exponents and keeping the same base.
Hope this helps you :) ...
#Carry on learning# ...
Answer:
V ≈ 254.5 in³
Step-by-step explanation:
The volume (V) of the cylindrical tube is calculated as
V = πr²h ( r is the radius and h the height ) , then
V = π × 3² × 9 = π × 9 × 9 = 81π ≈ 254.5 in³ ( to 1 dec. place )
I believe it is 8,000 grams :).