Identify the correct two-column proof. PLEASE HELP ASAP!! I need to raise my geometry grade!!

Mathematics

1 answer:

natta225 [31]3 years ago

4 0

Answer:

Option A is correct

Step-by-step explanation:

It is given that LMNO, OPQR, QUTS are parallelograms and L, O, and P are collinear, N, O, and R are collinear., S, Q, and R are collinear, P, Q, and U are collinear.

Thus, ∠M=∠1(Because they are opposite angles of parallelogram LMNO), ∠1=∠2 (as they are vertically opposite angles). Again ∠2=∠3(Because they are opposite angles of parallelogram ROPQ), ∠3=∠4 (as they are vertically opposite angles).

Thus, ∠M=∠1=∠2=∠3=∠4⇒∠M=∠4

Hence proved.

Hence, option A is correct as it has the same conditions used above.

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A boat on a river travels downstream between two points, 20 mi apart, in one hour. The return trip against the current takes 2 1

kondaur [170]

Answer:

The speed of boat in still water is 14 miles per hour.

The speed of current is 6 miles per hour.

Step-by-step explanation:

Let v represent the speed of boat in still water and c represent speed of current.

We have been given that a boat on a river travels downstream between two points, 20 miles apart, in one hour.

The speed of boat downstream would speed of boat in still water plus speed of current that is $(v+c)$ .

The return trip against the current takes 2 1/ 2 hours. The speed of boat against current would speed of boat in still water minus speed of current that is $(v-c)$ .