Answer:
The surface = pi*10cm2
Step-by-step explanation:
The area of any rectangle is Base * Height,
We know that the square originally has 10cm High, when is rolled to form a cylinder, it's new shape has a bottom side that is equals to a circle.
The length of a circle is 2*pi*Radio= pi*Diameter.
Since the square has the same length in each side, we know that pi*Diameter= 10cm*pi
The surface (area) of the cylinder is= Base * Height= 10cm*10cm*pi
We need to know the schedules . . . How often does each shuttle run ?
Choose a counterexample that proves that the conjecture below is false.. abc is a right triangle, so angle A measures 90 degrees.
Answer: Out of all the options shown above the one that represents the counterexample that proves that the conjecture presented above is false is answer choice 2. Angle b is 90 degrees. The reason being that in a right angle there is only one angle that measures 90 degrees.
I hope it helps, Regards.
Answer:
The correct option is option (c).

Step-by-step explanation:
Right angled triangle:
- One angle must be 90° and other two angles are acute angle.
- The hypotenuses is the longest side of the triangle and opposite right angle.
- It follows the Pythagorean Theorem.
Given that,
∠QRP= 90°, ∠RPQ= 30°, ∠PQR = 60°
we know that,

for sin P , the opposite is QR.
The hypotenuse is PQ.
Therefore,

Answer:
∠A and ∠G is the pair of vertical angles.
Step-by-step explanation:
From the figure attached,
Two lines 'm' and 'n' are two parallel lines. These lines intersect a horizontal line 'l'.
Since, "Pair of opposite angles formed at the point of intersection are the vertical angles and equal in measure."
Therefore, Opposite angles ∠A ≅ ∠G, ∠B ≅ ∠H, ∠C ≅ ∠E and ∠D ∠F are the vertical angles.
From the given options,
∠A and ∠G is the pair representing the pair of vertical angles and thus congruent.