Complete the two-column proof. Given: ∠2 and ∠5 are supplementary Prove: l is parallel to m Need help quick

The illustration is omitted. Please see the attachment below.

Answer:

The area of the shaded sector is 144π square units.

Step-by-step breakdown:

Given:

The central angle for the sector is,

The circle's radius is,

The area of a sector with radius 'R' and angle can be determined with:

Substituting gives

Thus, the area of the shaded sector calculates to 144π square units.

Indeed, a fare of $40 is a fair charge for the cab ride.

Explanation

Sheri's cab fare totaled $32, with a gratuity rate of 20%.

The gratuity amount is:

Thus, the total cab fare including gratuity is:

Since Sheri issued a $40 check to the cab driver, it indicates she provided ($40 - $38.40) or an extra $1.60 to the cab driver. Consequently, the $40 payment is reasonable for the cab fare.

You can utilize the Pythagorean theorem expressed as a^2 + b^2 = c^2... if b is unknown, you can rearrange the formula. Hence, c^2 - a^2 = b^2. Squaring 47 gives 2209 and squaring 13 yields 169... Subtracting gives you 2209-169, which results in 2040. Taking the square root of that yields approximately 45.166359, which can be rounded to 45 or as 45.167 when expressed to two decimal places. I hope this helps!:)

Answer:

Kayla is right; the center constitutes a fixed point located at the sphere's core.

Step-by-step explanation:

Kayla is indeed correct, whereas Raymond is mistaken since a point itself cannot represent a radius; a radius is defined as the line segment stretching from the center to the surface.

The center is indeed the stable point positioned at the center of the sphere.